TSTP Solution File: SWW345+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW345+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 : n015.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 14:40:26 EDT 2024
% Result : Theorem 12.23s 12.46s
% Output : Proof 12.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 02:10:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 12.23/12.46 % SZS status Theorem for theBenchmark
% 12.23/12.46 % SZS output start Proof for theBenchmark
% 12.23/12.46
% 12.23/12.46 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u18, _u5), _u4)) | ~c_Natural_Oevaln(_u20, _u4, _u16, _u3) | hBOOL(hAPP(hAPP(_u22, _u5), _u3)) | ~c_Hoare__Mirabelle_Otriple__valid(_u14, _u16, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u18), _u20), _u22)) )).
% 12.23/12.46 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | hBOOL(hAPP(hAPP(_u19, skolem2(_u23, _u21, _u19, _u17)), skolem3(_u23, _u21, _u19, _u17))) )).
% 12.23/12.46 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | c_Natural_Oevaln(_u21, skolem3(_u23, _u21, _u19, _u17), _u17, skolem4(_u23, _u21, _u19, _u17)) )).
% 12.23/12.46 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | ~hBOOL(hAPP(hAPP(_u23, skolem2(_u23, _u21, _u19, _u17)), skolem4(_u23, _u21, _u19, _u17))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triple__valid__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u24, hAPP(c_Nat_OSuc, _u25), _u26) | c_Hoare__Mirabelle_Otriple__valid(_u24, _u25, _u26) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u27, _u28, _u27) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u29, _u30, _u31) | ( _u31 = _u29) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u41, _u43, _u45) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), _u33), _u45)) | c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, _u33) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), skolem5(_u45, _u43, _u41, _u34)), _u43)) )).
% 12.23/12.46 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u41, _u43, _u45) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), _u33), _u45)) | c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, _u33) | ~c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, skolem5(_u45, _u43, _u41, _u34)) )).
% 12.23/12.46 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u42)), _u35), _u44)) | c_Hoare__Mirabelle_Otriple__valid(_u42, skolem6(_u46, _u44, _u42), _u35) )).
% 12.23/12.46 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u42)), skolem7(_u46, _u44, _u42)), _u46)) )).
% 12.23/12.46 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | ~c_Hoare__Mirabelle_Otriple__valid(_u42, skolem6(_u46, _u44, _u42), skolem7(_u46, _u44, _u42)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u47, _u48, _u49, _u50) | ~c_Natural_Oevaln(_u51, _u50, _u49, _u52) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u47, _u51), _u48, _u49, _u52) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u53, _u54)) | ~c_Natural_Oevaln(_u55, _u54, _u56, _u57) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u53, _u58, _u55), _u54, _u56, _u57) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u59, _u60)) | ~c_Natural_Oevaln(_u61, _u60, _u62, _u63) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u59, _u61, _u64), _u60, _u62, _u63) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | hBOOL(hAPP(_u65, _u68)) | c_Natural_Oevaln(_u67, _u68, _u69, _u70) )).
% 12.23/12.46 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | c_Natural_Oevaln(_u66, _u68, _u69, _u70) | ~hBOOL(hAPP(_u65, _u68)) )).
% 12.23/12.46 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | c_Natural_Oevaln(_u66, _u68, _u69, _u70) | c_Natural_Oevaln(_u67, _u68, _u69, _u70) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u71, _u72)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u71, _u73), _u72, _u74, _u72) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u75, _u76)) | ~c_Natural_Oevaln(_u77, _u76, _u78, _u79) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u75, _u77), _u79, _u78, _u80) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u75, _u77), _u76, _u78, _u80) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u81, _u82, _u81) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triple_Oinject-1, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u92 = _u98) )).
% 12.23/12.46 cnf(fact_triple_Oinject-2, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u94 = _u100) )).
% 12.23/12.46 cnf(fact_triple_Oinject-3, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u96 = _u102) )).
% 12.23/12.46 cnf(fact_triple_Oinject-4, axiom, ( ( _u93 != _u99) | ( _u95 != _u101) | ( _u97 != _u103) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u91), _u93), _u95), _u97) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u91), _u99), _u101), _u103)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triples__valid__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triples__valid__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), _u105), _u107)) | c_Hoare__Mirabelle_Otriple__valid(_u106, _u108, _u105) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), skolem8(_u108, _u107, _u106)), _u107)) )).
% 12.23/12.46 cnf(fact_triples__valid__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), _u105), _u107)) | c_Hoare__Mirabelle_Otriple__valid(_u106, _u108, _u105) | ~c_Hoare__Mirabelle_Otriple__valid(_u106, hAPP(c_Nat_OSuc, _u108), skolem8(_u108, _u107, _u106)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u109, _u110, _u111, _u112) | c_Natural_Oevaln(_u109, _u110, hAPP(c_Nat_OSuc, _u111), _u112) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | hBOOL(hAPP(_u120, _u124)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | c_Natural_Oevaln(_u122, _u124, _u126, skolem9(_u128, _u126, _u124, _u122, _u120)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), skolem9(_u128, _u126, _u124, _u122, _u120), _u126, _u128) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ~hBOOL(hAPP(_u120, _u124)) | c_Natural_Oevaln(_u122, _u124, _u126, skolem9(_u128, _u126, _u124, _u122, _u120)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ~hBOOL(hAPP(_u120, _u124)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), skolem9(_u128, _u126, _u124, _u122, _u120), _u126, _u128) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u125, _u127, _u129) | ( _u129 != _u125) | hBOOL(hAPP(_u121, _u125)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u125, _u127, _u129) | ~hBOOL(hAPP(_u121, _u125)) | ~c_Natural_Oevaln(_u123, _u125, _u127, _u114) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u114, _u127, _u129) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), _u140, _u142, _u140) | ~hBOOL(hAPP(_u136, _u140)) | c_Natural_Oevaln(_u138, _u140, _u142, skolem10(_u142, _u140, _u138, _u136)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), _u140, _u142, _u140) | ~hBOOL(hAPP(_u136, _u140)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), skolem10(_u142, _u140, _u138, _u136), _u142, _u140) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u141, _u143, _u141) | hBOOL(hAPP(_u137, _u141)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u141, _u143, _u141) | ~c_Natural_Oevaln(_u139, _u141, _u143, _u131) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u131, _u143, _u141) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | hBOOL(hAPP(_u150, _u156)) | c_Natural_Oevaln(_u154, _u156, _u158, _u160) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | c_Natural_Oevaln(_u152, _u156, _u158, _u160) | ~hBOOL(hAPP(_u150, _u156)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | c_Natural_Oevaln(_u152, _u156, _u158, _u160) | c_Natural_Oevaln(_u154, _u156, _u158, _u160) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u151, _u153, _u155), _u157, _u159, _u161) | ~hBOOL(hAPP(_u151, _u157)) | ~c_Natural_Oevaln(_u153, _u157, _u159, _u161) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u151, _u153, _u155), _u157, _u159, _u161) | hBOOL(hAPP(_u151, _u157)) | ~c_Natural_Oevaln(_u155, _u157, _u159, _u161) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | hBOOL(hAPP(_u168, _u174)) | c_Natural_Oevaln(_u172, _u174, _u176, _u178) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | c_Natural_Oevaln(_u170, _u174, _u176, _u178) | ~hBOOL(hAPP(_u168, _u174)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | c_Natural_Oevaln(_u170, _u174, _u176, _u178) | c_Natural_Oevaln(_u172, _u174, _u176, _u178) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u169, _u171, _u173), _u175, _u177, _u179) | ~hBOOL(hAPP(_u169, _u175)) | ~c_Natural_Oevaln(_u171, _u175, _u177, _u179) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u169, _u171, _u173), _u175, _u177, _u179) | hBOOL(hAPP(_u169, _u175)) | ~c_Natural_Oevaln(_u173, _u175, _u177, _u179) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u187, _u189), _u191, _u193, _u195) | c_Natural_Oevaln(_u187, _u191, _u193, skolem11(_u195, _u193, _u191, _u189, _u187)) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u187, _u189), _u191, _u193, _u195) | c_Natural_Oevaln(_u189, skolem11(_u195, _u193, _u191, _u189, _u187), _u193, _u195) )).
% 12.23/12.46 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u188, _u192, _u194, _u181) | ~c_Natural_Oevaln(_u190, _u181, _u194, _u196) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u188, _u190), _u192, _u194, _u196) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u197, _u198)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u199, _u200) != c_Com_Ocom_OSKIP) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u201, _u202, _u203)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u204, _u205, _u206) != c_Com_Ocom_OSKIP) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u207, _u208) != c_Com_Ocom_OCond(_u209, _u210, _u211)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u212, _u213, _u214) != c_Com_Ocom_OSemi(_u215, _u216)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u217, _u218)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u219, _u220) != c_Com_Ocom_OSKIP) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u221, _u222) != c_Com_Ocom_OWhile(_u223, _u224)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u225, _u226) != c_Com_Ocom_OSemi(_u227, _u228)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u229, _u230) != c_Com_Ocom_OCond(_u231, _u232, _u233)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u238, _u240) != c_Com_Ocom_OWhile(_u242, _u244)) | ( _u238 = _u242) )).
% 12.23/12.46 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u238, _u240) != c_Com_Ocom_OWhile(_u242, _u244)) | ( _u240 = _u244) )).
% 12.23/12.46 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u239 != _u243) | ( _u241 != _u245) | ( c_Com_Ocom_OWhile(_u239, _u241) = c_Com_Ocom_OWhile(_u243, _u245)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u252 = _u258) )).
% 12.23/12.46 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u254 = _u260) )).
% 12.23/12.46 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u256 = _u262) )).
% 12.23/12.46 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u253 != _u259) | ( _u255 != _u261) | ( _u257 != _u263) | ( c_Com_Ocom_OCond(_u253, _u255, _u257) = c_Com_Ocom_OCond(_u259, _u261, _u263)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u268, _u270) != c_Com_Ocom_OSemi(_u272, _u274)) | ( _u268 = _u272) )).
% 12.23/12.46 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u268, _u270) != c_Com_Ocom_OSemi(_u272, _u274)) | ( _u270 = _u274) )).
% 12.23/12.46 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u269 != _u273) | ( _u271 != _u275) | ( c_Com_Ocom_OSemi(_u269, _u271) = c_Com_Ocom_OSemi(_u273, _u275)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u276, _u277, _u278) != c_Com_Ocom_OWhile(_u279, _u280)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u281, _u282, _u283, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u281), _u284), _u285), _u286)) = hAPP(hAPP(hAPP(_u283, _u284), _u285), _u286)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u287, _u288, _u289, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u287), _u290), _u291), _u292)) = hAPP(hAPP(hAPP(_u289, _u290), _u291), _u292)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln__elim__cases_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln__elim__cases_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u294, _u295), _u296, _u297, _u298) | c_Natural_Oevaln(_u294, _u296, _u297, skolem12(_u298, _u297, _u296, _u295, _u294)) )).
% 12.23/12.46 cnf(fact_evaln__elim__cases_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u294, _u295), _u296, _u297, _u298) | c_Natural_Oevaln(_u295, skolem12(_u298, _u297, _u296, _u295, _u294), _u297, _u298) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u299) != hAPP(c_Nat_OSuc, _u300)) | ( _u299 = _u300) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u303) != hAPP(c_Nat_OSuc, _u305)) | ( _u303 = _u305) )).
% 12.23/12.46 cnf(fact_nat_Oinject-2, axiom, ( ( _u304 != _u306) | ( hAPP(c_Nat_OSuc, _u304) = hAPP(c_Nat_OSuc, _u306)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u307) != _u307) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u308 != hAPP(c_Nat_OSuc, _u308)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evaln__WHILE__case ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evaln__WHILE__case-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | hBOOL(hAPP(_u310, _u312)) )).
% 12.23/12.46 cnf(fact_evaln__WHILE__case-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | c_Natural_Oevaln(_u311, _u312, _u313, skolem13(_u314, _u313, _u312, _u311, _u310)) )).
% 12.23/12.46 cnf(fact_evaln__WHILE__case-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), skolem13(_u314, _u313, _u312, _u311, _u310), _u313, _u314) )).
% 12.23/12.46 cnf(fact_evaln__WHILE__case-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ~hBOOL(hAPP(_u310, _u312)) | c_Natural_Oevaln(_u311, _u312, _u313, skolem13(_u314, _u313, _u312, _u311, _u310)) )).
% 12.23/12.46 cnf(fact_evaln__WHILE__case-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ~hBOOL(hAPP(_u310, _u312)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), skolem13(_u314, _u313, _u312, _u311, _u310), _u313, _u314) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I64_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I64_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u315, _u316, _u317, _u318, _u319, _u320, _u321, _u322, _u323, c_Com_Ocom_OSKIP) = _u316) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I67_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I67_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u324, _u325, _u326, _u327, _u328, _u329, _u330, _u331, _u332, c_Com_Ocom_OSemi(_u333, _u334)) = hAPP(hAPP(_u328, _u333), _u334)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I68_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I68_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u335, _u336, _u337, _u338, _u339, _u340, _u341, _u342, _u343, c_Com_Ocom_OCond(_u344, _u345, _u346)) = hAPP(hAPP(hAPP(_u340, _u344), _u345), _u346)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I69_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I69_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u347, _u348, _u349, _u350, _u351, _u352, _u353, _u354, _u355, c_Com_Ocom_OWhile(_u356, _u357)) = hAPP(hAPP(_u353, _u356), _u357)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u358) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u358, _u359, hAPP(c_Nat_OSuc, _u360), _u361) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u358, _u359, _u360, hAPP(_u359, _u361))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u362, _u363, _u364, hAPP(c_Nat_OSuc, _u365)) = hAPP(_u364, _u365)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u366, _u367, _u368), hAPP(c_Nat_OSuc, _u369)) = hAPP(hAPP(_u368, _u369), hAPP(c_Nat_Onat_Onat__rec(_u366, _u367, _u368), _u369))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I1_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u370, _u371, _u372, _u373, _u374, _u375, _u376, _u377, _u378, c_Com_Ocom_OSKIP) = _u371) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, c_Com_Ocom_OSemi(_u388, _u389)) = hAPP(hAPP(hAPP(hAPP(_u383, _u388), _u389), c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, _u388)), c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, _u389))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, c_Com_Ocom_OCond(_u399, _u400, _u401)) = hAPP(hAPP(hAPP(hAPP(hAPP(_u395, _u399), _u400), _u401), c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, _u400)), c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, _u401))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I6_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u402, _u403, _u404, _u405, _u406, _u407, _u408, _u409, _u410, c_Com_Ocom_OWhile(_u411, _u412)) = hAPP(hAPP(hAPP(_u408, _u411), _u412), c_Com_Ocom_Ocom__rec(_u402, _u403, _u404, _u405, _u406, _u407, _u408, _u409, _u410, _u412))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WTs__elim__cases_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WTs__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u413, _u414))) | hBOOL(hAPP(c_Com_OWT, _u413)) )).
% 12.23/12.46 cnf(fact_WTs__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u413, _u414))) | hBOOL(hAPP(c_Com_OWT, _u414)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I66_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I66_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u415, _u416, _u417, _u418, _u419, _u420, _u421, _u422, _u423, c_Com_Ocom_OLocal(_u424, _u425, _u426)) = hAPP(hAPP(hAPP(_u418, _u424), _u425), _u426)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I71_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I71_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u427, _u428, _u429, _u430, _u431, _u432, _u433, _u434, _u435, c_Com_Ocom_OCall(_u436, _u437, _u438)) = hAPP(hAPP(hAPP(_u435, _u436), _u437), _u438)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WTs__elim__cases_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WTs__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u439, _u440, _u441))) | hBOOL(hAPP(c_Com_OWT, _u440)) )).
% 12.23/12.46 cnf(fact_WTs__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u439, _u440, _u441))) | hBOOL(hAPP(c_Com_OWT, _u441)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WTs__elim__cases_I6_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WTs__elim__cases_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u443)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u442, _u443))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WTs__elim__cases_I3_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WTs__elim__cases_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u446)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u444, _u445, _u446))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I43_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I43_J-1, axiom, ( ( c_Com_Ocom_OCall(_u447, _u448, _u449) != c_Com_Ocom_OLocal(_u450, _u451, _u452)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I42_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I42_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u453, _u454, _u455) != c_Com_Ocom_OCall(_u456, _u457, _u458)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I3_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u466)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u462, _u464, _u466))) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u467)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u463, _u465, _u467))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I7_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I7_J-1, axiom, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u474 = _u480) )).
% 12.23/12.46 cnf(fact_com_Osimps_I7_J-2, axiom, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u476 = _u482) )).
% 12.23/12.46 cnf(fact_com_Osimps_I7_J-3, axiom, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u478 = _u484) )).
% 12.23/12.46 cnf(fact_com_Osimps_I7_J-4, axiom, ( ( _u475 != _u481) | ( _u477 != _u483) | ( _u479 != _u485) | ( c_Com_Ocom_OCall(_u475, _u477, _u479) = c_Com_Ocom_OCall(_u481, _u483, _u485)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u492 = _u498) )).
% 12.23/12.46 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u494 = _u500) )).
% 12.23/12.46 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u496 = _u502) )).
% 12.23/12.46 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u493 != _u499) | ( _u495 != _u501) | ( _u497 != _u503) | ( c_Com_Ocom_OLocal(_u493, _u495, _u497) = c_Com_Ocom_OLocal(_u499, _u501, _u503)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I8_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u504, _u505, _u506, _u507, _u508, _u509, _u510, _u511, _u512, c_Com_Ocom_OCall(_u513, _u514, _u515)) = hAPP(hAPP(hAPP(_u512, _u513), _u514), _u515)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I3_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u516, _u517, _u518, _u519, _u520, _u521, _u522, _u523, _u524, c_Com_Ocom_OLocal(_u525, _u526, _u527)) = hAPP(hAPP(hAPP(hAPP(_u519, _u525), _u526), _u527), c_Com_Ocom_Ocom__rec(_u516, _u517, _u518, _u519, _u520, _u521, _u522, _u523, _u524, _u527))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_OLocal ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_OLocal-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u528)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u529, _u530, _u528))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_While ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_While-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u531)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u532, _u531))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I6_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u537)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u535, _u537))) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u538)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u536, _u538))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_OIf ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_OIf-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u539)) | ~hBOOL(hAPP(c_Com_OWT, _u540)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u541, _u539, _u540))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u545, _u547, _u549))) | hBOOL(hAPP(c_Com_OWT, _u547)) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u545, _u547, _u549))) | hBOOL(hAPP(c_Com_OWT, _u549)) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u548)) | ~hBOOL(hAPP(c_Com_OWT, _u550)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u546, _u548, _u550))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_OSemi ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_OSemi-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u551)) | ~hBOOL(hAPP(c_Com_OWT, _u552)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u551, _u552))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I4_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u555, _u557))) | hBOOL(hAPP(c_Com_OWT, _u555)) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u555, _u557))) | hBOOL(hAPP(c_Com_OWT, _u557)) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u556)) | ~hBOOL(hAPP(c_Com_OWT, _u558)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u556, _u558))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_OSkip ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_OSkip-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u559, _u560, _u561) != c_Com_Ocom_OWhile(_u562, _u563)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I61_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I61_J-1, axiom, ( ( c_Com_Ocom_OCall(_u564, _u565, _u566) != c_Com_Ocom_OWhile(_u567, _u568)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u569, _u570) != c_Com_Ocom_OLocal(_u571, _u572, _u573)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I60_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I60_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u574, _u575) != c_Com_Ocom_OCall(_u576, _u577, _u578)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u579, _u580, _u581) != c_Com_Ocom_OCond(_u582, _u583, _u584)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u585, _u586, _u587) != c_Com_Ocom_OLocal(_u588, _u589, _u590)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I56_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I56_J-1, axiom, ( ( c_Com_Ocom_OCond(_u591, _u592, _u593) != c_Com_Ocom_OCall(_u594, _u595, _u596)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I57_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I57_J-1, axiom, ( ( c_Com_Ocom_OCall(_u597, _u598, _u599) != c_Com_Ocom_OCond(_u600, _u601, _u602)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u603, _u604, _u605) != c_Com_Ocom_OSemi(_u606, _u607)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I51_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I51_J-1, axiom, ( ( c_Com_Ocom_OCall(_u608, _u609, _u610) != c_Com_Ocom_OSemi(_u611, _u612)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u613, _u614) != c_Com_Ocom_OLocal(_u615, _u616, _u617)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I50_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I50_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u618, _u619) != c_Com_Ocom_OCall(_u620, _u621, _u622)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u623, _u624, _u625) != c_Com_Ocom_OSKIP) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I21_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I21_J-1, axiom, ( ( c_Com_Ocom_OCall(_u626, _u627, _u628) != c_Com_Ocom_OSKIP) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u629, _u630, _u631)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I20_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I20_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u632, _u633, _u634)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WTs__elim__cases_I8_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WTs__elim__cases_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u636))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u635, _u636, _u637))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_def__nat__rec__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_def__nat__rec__Suc-1, axiom, ( ( hAPP(_u639, skolem14(_u643, _u642, _u641, _u640, _u639)) != hAPP(c_Nat_Onat_Onat__rec(_u640, _u641, _u642), skolem14(_u643, _u642, _u641, _u640, _u639))) | ( hAPP(_u639, hAPP(c_Nat_OSuc, _u643)) = hAPP(hAPP(_u642, _u643), hAPP(_u639, _u643))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_Oequations_I8_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_Oequations_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u649))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u647, _u649, _u651))) )).
% 12.23/12.46 cnf(fact_WT_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u650))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u648, _u650, _u652))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_WT_OCall ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_WT_OCall-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u653))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u654, _u653, _u655))) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u656) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u656, _u657, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u658) = _u658) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I65_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I65_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u659, _u660, _u661, _u662, _u663, _u664, _u665, _u666, _u667, c_Com_Ocom_OAss(_u668, _u669)) = hAPP(hAPP(_u661, _u668), _u669)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Orecs_I2_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Orecs_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u670, _u671, _u672, _u673, _u674, _u675, _u676, _u677, _u678, c_Com_Ocom_OAss(_u679, _u680)) = hAPP(hAPP(_u672, _u679), _u680)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I70_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I70_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u681, _u682, _u683, _u684, _u685, _u686, _u687, _u688, _u689, hAPP(c_Com_Ocom_OBODY, _u690)) = hAPP(_u688, _u690)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u691, _u692, _u693), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u692) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u694), _u695)) | ( _u695 = _u694) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u696), _u696)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u697, _u698)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u697, _u699)), _u698), _u698)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u700, _u701)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u702), _u701), _u703)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u700, _u702)), _u703), _u704)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u700, _u702)), _u701), _u704)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u705, _u706)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u707), _u706), _u708)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u705, _u709, _u707)), _u706), _u708)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u710, _u711)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u712), _u711), _u713)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u710, _u712, _u714)), _u711), _u713)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(_u715, _u718)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u717), _u718), _u719)) )).
% 12.23/12.46 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u716), _u718), _u719)) | ~hBOOL(hAPP(_u715, _u718)) )).
% 12.23/12.46 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u716), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u717), _u718), _u719)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u720), _u721), _u722)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u723), _u722), _u724)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u720, _u723)), _u721), _u724)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I1_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I1_J-1, axiom, ( ( c_Com_Ocom_OAss(_u729, _u731) != c_Com_Ocom_OAss(_u733, _u735)) | ( _u729 = _u733) )).
% 12.23/12.46 cnf(fact_com_Osimps_I1_J-2, axiom, ( ( c_Com_Ocom_OAss(_u729, _u731) != c_Com_Ocom_OAss(_u733, _u735)) | ( _u731 = _u735) )).
% 12.23/12.46 cnf(fact_com_Osimps_I1_J-3, axiom, ( ( _u730 != _u734) | ( _u732 != _u736) | ( c_Com_Ocom_OAss(_u730, _u732) = c_Com_Ocom_OAss(_u734, _u736)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I6_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I6_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u739) != hAPP(c_Com_Ocom_OBODY, _u741)) | ( _u739 = _u741) )).
% 12.23/12.46 cnf(fact_com_Osimps_I6_J-2, axiom, ( ( _u740 != _u742) | ( hAPP(c_Com_Ocom_OBODY, _u740) = hAPP(c_Com_Ocom_OBODY, _u742)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I30_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I30_J-1, axiom, ( ( c_Com_Ocom_OAss(_u743, _u744) != hAPP(c_Com_Ocom_OBODY, _u745)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com_Osimps_I31_J ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com_Osimps_I31_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u746) != c_Com_Ocom_OAss(_u747, _u748)) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_com__det ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u749), _u750), _u751)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u749), _u750), _u752)) | ( _u752 = _u751) )).
% 12.23/12.46
% 12.23/12.46 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.23/12.46 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u753)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u754)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u755) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u757)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u758) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u759, _u760, _u761, _u762) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u759), _u760), _u762)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u768), _u770), _u772)) | c_Natural_Oevaln(_u768, _u770, skolem15(_u772, _u770, _u768), _u772) )).
% 12.23/12.47 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u769, _u771, _u764, _u773) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u769), _u771), _u773)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Body__triple__valid__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Body__triple__valid__0-1, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u774), _u775), hAPP(c_Com_Ocom_OBODY, _u776)), _u777)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), _u787), _u787)) | ~hBOOL(hAPP(_u783, _u787)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u785), _u787), skolem16(_u787, _u785, _u783))) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), _u787), _u787)) | ~hBOOL(hAPP(_u783, _u787)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), skolem16(_u787, _u785, _u783)), _u787)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u788), _u788)) | hBOOL(hAPP(_u784, _u788)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u788), _u788)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u786), _u788), _u779)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u779), _u788)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(_u795, _u799)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u797), _u799), skolem17(_u801, _u799, _u797, _u795))) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), skolem17(_u801, _u799, _u797, _u795)), _u801)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ~hBOOL(hAPP(_u795, _u799)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u797), _u799), skolem17(_u801, _u799, _u797, _u795))) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ~hBOOL(hAPP(_u795, _u799)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), skolem17(_u801, _u799, _u797, _u795)), _u801)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u800), _u802)) | ( _u802 != _u800) | hBOOL(hAPP(_u796, _u800)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u800), _u802)) | ~hBOOL(hAPP(_u796, _u800)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u798), _u800), _u790)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u790), _u802)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(_u808, _u814)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u812), _u814), _u816)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u810), _u814), _u816)) | ~hBOOL(hAPP(_u808, _u814)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u810), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u812), _u814), _u816)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u809, _u811, _u813)), _u815), _u817)) | ~hBOOL(hAPP(_u809, _u815)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u811), _u815), _u817)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u809, _u811, _u813)), _u815), _u817)) | hBOOL(hAPP(_u809, _u815)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u813), _u815), _u817)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(_u823, _u829)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u827), _u829), _u831)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u825), _u829), _u831)) | ~hBOOL(hAPP(_u823, _u829)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u825), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u827), _u829), _u831)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u824, _u826, _u828)), _u830), _u832)) | ~hBOOL(hAPP(_u824, _u830)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u826), _u830), _u832)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u824, _u826, _u828)), _u830), _u832)) | hBOOL(hAPP(_u824, _u830)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u828), _u830), _u832)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u839, _u841)), _u843), _u845)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u839), _u843), skolem18(_u845, _u843, _u841, _u839))) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u839, _u841)), _u843), _u845)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u841), skolem18(_u845, _u843, _u841, _u839)), _u845)) )).
% 12.23/12.47 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u840), _u844), _u834)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u842), _u834), _u846)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u840, _u842)), _u844), _u846)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u847), _u847)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I59_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I59_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u848) != c_Com_Ocom_OWhile(_u849, _u850)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I58_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I58_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u851, _u852) != hAPP(c_Com_Ocom_OBODY, _u853)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I55_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I55_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u854) != c_Com_Ocom_OCond(_u855, _u856, _u857)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I54_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I54_J-1, axiom, ( ( c_Com_Ocom_OCond(_u858, _u859, _u860) != hAPP(c_Com_Ocom_OBODY, _u861)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I49_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I49_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u862) != c_Com_Ocom_OSemi(_u863, _u864)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I48_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I48_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u865, _u866) != hAPP(c_Com_Ocom_OBODY, _u867)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I40_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I40_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u868, _u869, _u870) != hAPP(c_Com_Ocom_OBODY, _u871)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I63_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I63_J-1, axiom, ( ( c_Com_Ocom_OCall(_u872, _u873, _u874) != hAPP(c_Com_Ocom_OBODY, _u875)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I41_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I41_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u876) != c_Com_Ocom_OLocal(_u877, _u878, _u879)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I62_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I62_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u880) != c_Com_Ocom_OCall(_u881, _u882, _u883)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I18_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I18_J-1, axiom, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u884)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I19_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I19_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u885) != c_Com_Ocom_OSKIP) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WT_Oequations_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WT_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u886, _u887))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WT_OAssign ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WT_OAssign-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u888, _u889))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I28_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I28_J-1, axiom, ( ( c_Com_Ocom_OAss(_u890, _u891) != c_Com_Ocom_OWhile(_u892, _u893)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I29_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I29_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u894, _u895) != c_Com_Ocom_OAss(_u896, _u897)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I26_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I26_J-1, axiom, ( ( c_Com_Ocom_OAss(_u898, _u899) != c_Com_Ocom_OCond(_u900, _u901, _u902)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I27_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I27_J-1, axiom, ( ( c_Com_Ocom_OCond(_u903, _u904, _u905) != c_Com_Ocom_OAss(_u906, _u907)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u908, _u909, _u910, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u909) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I24_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I24_J-1, axiom, ( ( c_Com_Ocom_OAss(_u911, _u912) != c_Com_Ocom_OSemi(_u913, _u914)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I25_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I25_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u915, _u916) != c_Com_Ocom_OAss(_u917, _u918)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I23_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I23_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u919, _u920, _u921) != c_Com_Ocom_OAss(_u922, _u923)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I33_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I33_J-1, axiom, ( ( c_Com_Ocom_OCall(_u924, _u925, _u926) != c_Com_Ocom_OAss(_u927, _u928)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I22_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I22_J-1, axiom, ( ( c_Com_Ocom_OAss(_u929, _u930) != c_Com_Ocom_OLocal(_u931, _u932, _u933)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I32_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I32_J-1, axiom, ( ( c_Com_Ocom_OAss(_u934, _u935) != c_Com_Ocom_OCall(_u936, _u937, _u938)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I8_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I8_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u939, _u940)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osimps_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osimps_I9_J-1, axiom, ( ( c_Com_Ocom_OAss(_u941, _u942) != c_Com_Ocom_OSKIP) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Orecs_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Orecs_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u943, _u944, _u945, _u946, _u947, _u948, _u949, _u950, _u951, hAPP(c_Com_Ocom_OBODY, _u952)) = hAPP(_u950, _u952)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u953, _u954, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u953), _u955), _u956), _u957)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u958)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u958), _u959), _u960), _u961)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc__elim__cases_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u963, _u964)), _u965), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u963), _u965), skolem19(_u966, _u965, _u964, _u963))) )).
% 12.23/12.47 cnf(fact_evalc__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u963, _u964)), _u965), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u964), skolem19(_u966, _u965, _u964, _u963)), _u966)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 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)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I8_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u967, _u968, _u969)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u970, _u971)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u972)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 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)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I16_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I16_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u973, _u974, _u975)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I10_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I10_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u976, _u977)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I15_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I15_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u978)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u979, _u980, _u981)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u981)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u982, _u983)) = 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), _u982)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u983))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u984, _u985, _u986)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u986)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u987, _u988)) = 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(_u987)), c_Com_Ocom_Ocom__size(_u988))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u989, _u990, _u991)) = 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), _u990)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u991))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u992, _u993, _u994)) = 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(_u993)), c_Com_Ocom_Ocom__size(_u994))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u995, _u996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u996)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u997, _u998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u998)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_OAssign ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_OAssign-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u999, _u1000)), _u1001), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1001), _u999), hAPP(_u1000, _u1001)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc__elim__cases_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc__elim__cases_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u1002, _u1003)), _u1004), _u1005)) | ( _u1005 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), _u1002), hAPP(_u1003, _u1004))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln_OAssign ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln_OAssign-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u1006, _u1007), _u1008, _u1009, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1008), _u1006), hAPP(_u1007, _u1008))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln__elim__cases_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln__elim__cases_I2_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u1010, _u1011), _u1012, _u1013, _u1014) | ( _u1014 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1012), _u1010), hAPP(_u1011, _u1012))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1018), _u1020) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1022), _u1020)) | ( _u1018 = _u1022) )).
% 12.23/12.47 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u1019 != _u1023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1019), _u1021) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1023), _u1021)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u1029 = _u1031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1027), _u1029) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1027), _u1031)) )).
% 12.23/12.47 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u1030 != _u1032) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1028), _u1030) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1028), _u1032)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1033), _u1034)), _u1035) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1034), _u1035))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1037), _u1038)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1036), _u1038))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1039), _u1040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1040), _u1039)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u1042 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1041), _u1042) != _u1041) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1045), _u1047) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1045 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1045), _u1047) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_add__is__0-3, axiom, ( ( _u1046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1048 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1046), _u1048) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1049), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1049) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1050) = _u1050) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1051), hAPP(c_Nat_OSuc, _u1052)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1051), _u1052))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1053)), _u1054) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1053), _u1054))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1055)), _u1056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1055), hAPP(c_Nat_OSuc, _u1056))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1061 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1060), _u1062) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1060 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1062 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1060), _u1062) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1062 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1065), _u1067)) | ( _u1065 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 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), _u1065), _u1067)) | ( _u1065 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1067 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 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), _u1065), _u1067)) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 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), _u1065), _u1067)) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1067 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 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), _u1066), _u1068)) | ( _u1066 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1068 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 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), _u1066), _u1068)) | ( _u1066 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1068 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln_Oequations_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln_Oequations_I2_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u1069, _u1070), _u1071, _u1072, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1071), _u1069), hAPP(_u1070, _u1071))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u1073, _u1074)), _u1075), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1075), _u1073), hAPP(_u1074, _u1075)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u1076) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1076), c_Groups_Ozero__class_Ozero(_u1076)), _u1077) = _u1077) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1078) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1078), c_Groups_Ozero__class_Ozero(_u1078)), _u1079) = _u1079) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1080) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1080), c_Groups_Ozero__class_Ozero(_u1080)), _u1081) = _u1081) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1082) | ( c_Groups_Ozero__class_Ozero(_u1082) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1082), _u1083), _u1083)) | ( _u1083 = c_Groups_Ozero__class_Ozero(_u1082)) )).
% 12.23/12.47 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1082) | ( _u1083 != c_Groups_Ozero__class_Ozero(_u1082)) | ( c_Groups_Ozero__class_Ozero(_u1082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1082), _u1083), _u1083)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u1084) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1084), _u1085), c_Groups_Ozero__class_Ozero(_u1084)) = _u1085) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1086) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1086), _u1087), c_Groups_Ozero__class_Ozero(_u1086)) = _u1087) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1088) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1088), _u1089), c_Groups_Ozero__class_Ozero(_u1088)) = _u1089) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1090) | ( _u1091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1090), _u1091), _u1092)) | ( _u1092 = c_Groups_Ozero__class_Ozero(_u1090)) )).
% 12.23/12.47 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1090) | ( _u1092 != c_Groups_Ozero__class_Ozero(_u1090)) | ( _u1091 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1090), _u1091), _u1092)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1093), _u1094), _u1094) != c_Groups_Ozero__class_Ozero(_u1093)) | ( _u1094 = c_Groups_Ozero__class_Ozero(_u1093)) )).
% 12.23/12.47 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ( _u1094 != c_Groups_Ozero__class_Ozero(_u1093)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1093), _u1094), _u1094) = c_Groups_Ozero__class_Ozero(_u1093)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1095)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1096)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1096)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1097) = _u1097) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat_Osize_I1_J-1, axiom, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u1098) | ( c_Groups_Ozero__class_Ozero(_u1098) != _u1099) | ( _u1099 = c_Groups_Ozero__class_Ozero(_u1098)) )).
% 12.23/12.47 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u1098) | ( _u1099 != c_Groups_Ozero__class_Ozero(_u1098)) | ( c_Groups_Ozero__class_Ozero(_u1098) = _u1099) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1100) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), _u1102) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1103), _u1102)) | ( _u1101 = _u1103) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1104) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1106) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1107)) | ( _u1106 = _u1107) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1110) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1111)) | ( _u1110 = _u1111) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1115), _u1116)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1115)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1114), _u1116))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1117) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1120), _u1119)) | ( _u1118 = _u1120) )).
% 12.23/12.47 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1117) | ( _u1118 != _u1120) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1118), _u1119) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1120), _u1119)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1121) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1123) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1124)) | ( _u1123 = _u1124) )).
% 12.23/12.47 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1121) | ( _u1123 != _u1124) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1123) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1124)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1125) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), _u1126), _u1127)), _u1128) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), _u1126), _u1128)), _u1127)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1130), _u1131)), _u1132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1131), _u1132))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1133) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1134), _u1135)), _u1136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1135), _u1136))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1139), _u1140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), _u1139)), _u1140)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1143), _u1144)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1145) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1147), _u1146)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_bool_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_bool_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Body__triple__valid__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Body__triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u1153, _u1155, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1153), _u1157), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1159))), _u1161)) | c_Hoare__Mirabelle_Otriple__valid(_u1153, hAPP(c_Nat_OSuc, _u1155), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1153), _u1157), hAPP(c_Com_Ocom_OBODY, _u1159)), _u1161)) )).
% 12.23/12.47 cnf(fact_Body__triple__valid__Suc-2, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u1154, hAPP(c_Nat_OSuc, _u1156), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1154), _u1158), hAPP(c_Com_Ocom_OBODY, _u1160)), _u1162)) | c_Hoare__Mirabelle_Otriple__valid(_u1154, _u1156, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1154), _u1158), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1160))), _u1162)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_def__nat__rec__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_def__nat__rec__0-1, axiom, ( ( hAPP(_u1164, skolem20(_u1167, _u1166, _u1165, _u1164)) != hAPP(c_Nat_Onat_Onat__rec(_u1165, _u1166, _u1167), skolem20(_u1167, _u1166, _u1165, _u1164))) | ( hAPP(_u1164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1166) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc__WHILE__case ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc__WHILE__case-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(_u1169, _u1171)) )).
% 12.23/12.47 cnf(fact_evalc__WHILE__case-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1170), _u1171), skolem21(_u1172, _u1171, _u1170, _u1169))) )).
% 12.23/12.47 cnf(fact_evalc__WHILE__case-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), skolem21(_u1172, _u1171, _u1170, _u1169)), _u1172)) )).
% 12.23/12.47 cnf(fact_evalc__WHILE__case-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ~hBOOL(hAPP(_u1169, _u1171)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1170), _u1171), skolem21(_u1172, _u1171, _u1170, _u1169))) )).
% 12.23/12.47 cnf(fact_evalc__WHILE__case-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ~hBOOL(hAPP(_u1169, _u1171)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), skolem21(_u1172, _u1171, _u1170, _u1169)), _u1172)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u1173, _u1174, _u1175, _u1176, c_Nitpick_Opair__box_OPairBox(_u1173, _u1174, _u1177, _u1178)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1175, _u1177)), hAPP(_u1176, _u1178))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc__evaln ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc__evaln-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1180), _u1181), _u1182)) | c_Natural_Oevaln(_u1180, _u1181, skolem22(_u1182, _u1181, _u1180), _u1182) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osize_I1_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__size(_u1183, _u1184, _u1185, _u1186, hAPP(c_Sum__Type_OInl(_u1183, _u1184), _u1187)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1185, _u1187)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osize_I2_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__size(_u1188, _u1189, _u1190, _u1191, hAPP(c_Sum__Type_OInr(_u1189, _u1188), _u1192)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1191, _u1192)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_OBody ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_OBody-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1193))), _u1194), _u1195)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1193)), _u1194), _u1195)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc__elim__cases_I6_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc__elim__cases_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1196)), _u1197), _u1198)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1196))), _u1197), _u1198)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln_OBody ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln_OBody-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1199)), _u1200, _u1201, _u1202) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1199), _u1200, hAPP(c_Nat_OSuc, _u1201), _u1202) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1213, _u1215) != c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1217, _u1219)) | ( _u1213 = _u1217) )).
% 12.23/12.47 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1213, _u1215) != c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1217, _u1219)) | ( _u1215 = _u1219) )).
% 12.23/12.47 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u1214 != _u1218) | ( _u1216 != _u1220) | ( c_Nitpick_Opair__box_OPairBox(_u1210, _u1212, _u1214, _u1216) = c_Nitpick_Opair__box_OPairBox(_u1210, _u1212, _u1218, _u1220)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evalc_Oequations_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evalc_Oequations_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1224)), _u1226), _u1228)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1224))), _u1226), _u1228)) )).
% 12.23/12.47 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, _u1225))), _u1227), _u1229)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1225)), _u1227), _u1229)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln_Oequations_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln_Oequations_I9_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1234), _u1236, hAPP(c_Nat_OSuc, _u1238), _u1240) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1234)), _u1236, _u1238, _u1240) )).
% 12.23/12.47 cnf(fact_evaln_Oequations_I9_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1235)), _u1237, _u1239, _u1241) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1235), _u1237, hAPP(c_Nat_OSuc, _u1239), _u1241) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u1242, _u1243)), c_Nitpick_Opair__box_OPairBox(_u1242, _u1243, _u1244, _u1245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u1246, _u1247, _u1248, _u1249, c_Nitpick_Opair__box_OPairBox(_u1246, _u1247, _u1250, _u1251)) = hAPP(hAPP(_u1249, _u1250), _u1251)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u1252, _u1253, _u1254, _u1255, c_Nitpick_Opair__box_OPairBox(_u1252, _u1253, _u1256, _u1257)) = hAPP(hAPP(_u1255, _u1256), _u1257)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_evaln__elim__cases_I6_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_evaln__elim__cases_I6_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1259), _u1260, _u1261, _u1262) | ( _u1261 = hAPP(c_Nat_OSuc, skolem23(_u1262, _u1261, _u1260, _u1259))) )).
% 12.23/12.47 cnf(fact_evaln__elim__cases_I6_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1259), _u1260, _u1261, _u1262) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1259)), _u1260, skolem23(_u1262, _u1261, _u1260, _u1259), _u1262) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Inl__not__Inr ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Inl__not__Inr-1, axiom, ( ( hAPP(c_Sum__Type_OInl(_u1263, _u1264), _u1265) != hAPP(c_Sum__Type_OInr(_u1264, _u1263), _u1266)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osimps_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osimps_I3_J-1, axiom, ( ( hAPP(c_Sum__Type_OInl(_u1267, _u1268), _u1269) != hAPP(c_Sum__Type_OInr(_u1268, _u1267), _u1270)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Inr__not__Inl ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Inr__not__Inl-1, axiom, ( ( hAPP(c_Sum__Type_OInr(_u1271, _u1272), _u1273) != hAPP(c_Sum__Type_OInl(_u1272, _u1271), _u1274)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osimps_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osimps_I4_J-1, axiom, ( ( hAPP(c_Sum__Type_OInr(_u1275, _u1276), _u1277) != hAPP(c_Sum__Type_OInl(_u1276, _u1275), _u1278)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osize_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1279, _u1280)), hAPP(c_Sum__Type_OInl(_u1279, _u1280), _u1281)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osize_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1282, _u1283)), hAPP(c_Sum__Type_OInr(_u1283, _u1282), _u1284)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osimps_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osimps_I1_J-1, axiom, ( ( _u1293 = _u1295) | ( hAPP(c_Sum__Type_OInl(_u1289, _u1291), _u1293) != hAPP(c_Sum__Type_OInl(_u1289, _u1291), _u1295)) )).
% 12.23/12.47 cnf(fact_sum_Osimps_I1_J-2, axiom, ( ( _u1294 != _u1296) | ( hAPP(c_Sum__Type_OInl(_u1290, _u1292), _u1294) = hAPP(c_Sum__Type_OInl(_u1290, _u1292), _u1296)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Inr__inject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Inr__inject-1, axiom, ( ( _u1299 = _u1300) | ( hAPP(c_Sum__Type_OInr(_u1297, _u1298), _u1299) != hAPP(c_Sum__Type_OInr(_u1297, _u1298), _u1300)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Osimps_I2_J-1, axiom, ( ( _u1309 = _u1311) | ( hAPP(c_Sum__Type_OInr(_u1305, _u1307), _u1309) != hAPP(c_Sum__Type_OInr(_u1305, _u1307), _u1311)) )).
% 12.23/12.47 cnf(fact_sum_Osimps_I2_J-2, axiom, ( ( _u1310 != _u1312) | ( hAPP(c_Sum__Type_OInr(_u1306, _u1308), _u1310) = hAPP(c_Sum__Type_OInr(_u1306, _u1308), _u1312)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Inl__inject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Inl__inject-1, axiom, ( ( _u1315 = _u1316) | ( hAPP(c_Sum__Type_OInl(_u1313, _u1314), _u1315) != hAPP(c_Sum__Type_OInl(_u1313, _u1314), _u1316)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Projl_Osimps ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Projl_Osimps-1, axiom, ( ( c_Sum__Type_OProjl(_u1317, _u1318, hAPP(c_Sum__Type_OInl(_u1317, _u1318), _u1319)) = _u1319) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Projr_Osimps ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Projr_Osimps-1, axiom, ( ( c_Sum__Type_OProjr(_u1320, _u1321, hAPP(c_Sum__Type_OInr(_u1321, _u1320), _u1322)) = _u1322) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Orecs_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Orecs_I1_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__rec(_u1323, _u1324, _u1325, _u1326, _u1327, hAPP(c_Sum__Type_OInl(_u1323, _u1325), _u1328)) = hAPP(_u1326, _u1328)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_sum_Orecs_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_sum_Orecs_I2_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__rec(_u1329, _u1330, _u1331, _u1332, _u1333, hAPP(c_Sum__Type_OInr(_u1331, _u1329), _u1334)) = hAPP(_u1333, _u1334)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suml_Osimps ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suml_Osimps-1, axiom, ( ( hAPP(c_Sum__Type_OSuml(_u1335, _u1336, _u1337, _u1338), hAPP(c_Sum__Type_OInl(_u1335, _u1337), _u1339)) = hAPP(_u1338, _u1339)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Sumr_Osimps ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Sumr_Osimps-1, axiom, ( ( hAPP(c_Sum__Type_OSumr(_u1340, _u1341, _u1342, _u1343), hAPP(c_Sum__Type_OInr(_u1340, _u1342), _u1344)) = hAPP(_u1343, _u1344)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WT_OBody ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WT_OBody-1, axiom, ( ( hAPP(c_Com_Obody, _u1345) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1345))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WT_Oequations_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WT_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1349))) | ( hAPP(c_Com_Obody, _u1349) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem24(_u1349))) )).
% 12.23/12.47 cnf(fact_WT_Oequations_I7_J-2, axiom, ( ( hAPP(c_Com_Obody, _u1350) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1347)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1350))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.23/12.47 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, _u1351))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not0__implies__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not0__implies__Suc-1, axiom, ( ( _u1353 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1353 = hAPP(c_Nat_OSuc, skolem25(_u1353))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__induct ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__induct-1, axiom, ( ~hBOOL(hAPP(_u1355, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1355, _u1356)) | hBOOL(hAPP(_u1355, skolem26(_u1356, _u1355))) )).
% 12.23/12.47 cnf(fact_nat__induct-2, axiom, ( ~hBOOL(hAPP(_u1355, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1355, _u1356)) | ~hBOOL(hAPP(_u1355, hAPP(c_Nat_OSuc, skolem26(_u1356, _u1355)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1357), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1358), hAPP(c_Nat_OSuc, _u1358))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1359), _u1360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1359)), hAPP(c_Nat_OSuc, _u1360))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1361), _u1362)) | ( _u1361 = _u1362) | hBOOL(hAPP(hAPP(_u1363, _u1362), _u1361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1362), _u1361)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1364), _u1365)) | ( _u1364 != _u1365) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1366), _u1367)) | ( _u1367 != _u1366) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1368), _u1368)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u1369 = _u1370) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1369), _u1370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1370), _u1369)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__neq__iff-1, axiom, ( ( _u1373 = _u1375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1373), _u1375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1375), _u1373)) )).
% 12.23/12.47 cnf(fact_nat__neq__iff-2, axiom, ( ( _u1374 != _u1376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1374), _u1376)) )).
% 12.23/12.47 cnf(fact_nat__neq__iff-3, axiom, ( ( _u1374 != _u1376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1376), _u1374)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1377), _u1377)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suml__inject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suml__inject-1, axiom, ( ( _u1381 = _u1382) | ( c_Sum__Type_OSuml(_u1378, _u1379, _u1380, _u1381) != c_Sum__Type_OSuml(_u1378, _u1379, _u1380, _u1382)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Sumr__inject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Sumr__inject-1, axiom, ( ( _u1386 = _u1387) | ( c_Sum__Type_OSumr(_u1383, _u1384, _u1385, _u1386) != c_Sum__Type_OSumr(_u1383, _u1384, _u1385, _u1387)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1391), _u1390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), _u1389), _u1391)) )).
% 12.23/12.47 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), _u1389), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1391), _u1390))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1394), _u1395)) )).
% 12.23/12.47 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1394), _u1395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1395))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1397), _u1398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1399)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1398), _u1399))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1401)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1402))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1405), _u1407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1406), _u1408))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1410), _u1411)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1409), _u1410), _u1412)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1415)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1413), _u1415), _u1416)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_gr0I-1, axiom, ( ( _u1417 = 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)), _u1417)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_gr__implies__not0-1, axiom, ( ( _u1419 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1418), _u1419)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1420), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neq0__conv-1, axiom, ( ( _u1422 = 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)), _u1422)) )).
% 12.23/12.47 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)), _u1423)) | ( _u1423 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1424), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1427), _u1429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1429), hAPP(c_Nat_OSuc, _u1427))) )).
% 12.23/12.47 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1430), hAPP(c_Nat_OSuc, _u1428))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1428), _u1430)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1433), hAPP(c_Nat_OSuc, _u1435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1433), _u1435)) | ( _u1433 = _u1435) )).
% 12.23/12.47 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), hAPP(c_Nat_OSuc, _u1436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), _u1436)) )).
% 12.23/12.47 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), hAPP(c_Nat_OSuc, _u1436))) | ( _u1434 != _u1436) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1439)), hAPP(c_Nat_OSuc, _u1441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1439), _u1441)) )).
% 12.23/12.47 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1440), _u1442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1440)), hAPP(c_Nat_OSuc, _u1442))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), _u1444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), hAPP(c_Nat_OSuc, _u1444))) | ( _u1443 = _u1444) )).
% 12.23/12.47 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), _u1444)) | ( _u1443 != _u1444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), hAPP(c_Nat_OSuc, _u1444))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1445), _u1446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1445), hAPP(c_Nat_OSuc, _u1446))) | ( _u1446 = _u1445) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1447), _u1448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1447), hAPP(c_Nat_OSuc, _u1448))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1449), _u1450)) | ( hAPP(c_Nat_OSuc, _u1449) = _u1450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1449)), _u1450)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1451), _u1452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1452), _u1453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1451)), _u1453)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), hAPP(c_Nat_OSuc, _u1455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), _u1455)) | ( _u1454 = _u1455) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1456)), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1456), _u1457)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1458)), hAPP(c_Nat_OSuc, _u1459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), _u1459)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1460), _u1461)), _u1462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1460), _u1462)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1463), _u1464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1465), _u1464) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1463), _u1466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), _u1466)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1467), _u1468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1467), _u1469)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1468), _u1470))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1471), _u1472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1471), _u1473)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1472), _u1473))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), _u1475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1476), _u1475))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1477), _u1478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1478), _u1479))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1485), _u1487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1483), _u1485)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1483), _u1487))) )).
% 12.23/12.47 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1486), _u1488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1484), _u1486)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1484), _u1488))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1489), _u1490)), _u1490)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1491), _u1492)), _u1491)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1494), c_Groups_Ozero__class_Ozero(_u1493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1495), c_Groups_Ozero__class_Ozero(_u1493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1493), _u1494), _u1495)), c_Groups_Ozero__class_Ozero(_u1493))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), _u1497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), _u1498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1496), _u1497), _u1498))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), _u1500), _u1500)), c_Groups_Ozero__class_Ozero(_u1499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), _u1500), c_Groups_Ozero__class_Ozero(_u1499))) )).
% 12.23/12.47 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), _u1500), c_Groups_Ozero__class_Ozero(_u1499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), _u1500), _u1500)), c_Groups_Ozero__class_Ozero(_u1499))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1501), _u1502), _u1502)), c_Groups_Ozero__class_Ozero(_u1501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), _u1502), c_Groups_Ozero__class_Ozero(_u1501))) )).
% 12.23/12.47 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), _u1502), c_Groups_Ozero__class_Ozero(_u1501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1501), _u1502), _u1502)), c_Groups_Ozero__class_Ozero(_u1501))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1503), _u1504), _u1504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), _u1504)) )).
% 12.23/12.47 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1503), _u1504), _u1504))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1509), hAPP(c_Nat_OSuc, _u1511))) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1509 = hAPP(c_Nat_OSuc, skolem27(_u1511, _u1509))) )).
% 12.23/12.47 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1509), hAPP(c_Nat_OSuc, _u1511))) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem27(_u1511, _u1509)), _u1511)) )).
% 12.23/12.47 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1510), hAPP(c_Nat_OSuc, _u1512))) | ( _u1510 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1510), hAPP(c_Nat_OSuc, _u1512))) | ( _u1510 != hAPP(c_Nat_OSuc, _u1506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), _u1512)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1514), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1514 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_less__Suc0-2, axiom, ( ( _u1515 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1515), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1519)) | ( _u1519 = hAPP(c_Nat_OSuc, skolem28(_u1519))) )).
% 12.23/12.47 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u1520 != hAPP(c_Nat_OSuc, _u1517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1520)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1523), _u1525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1525)) )).
% 12.23/12.47 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), _u1524), _u1526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1524)) )).
% 12.23/12.47 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), _u1524), _u1526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1526)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1531), _u1533)) | ( _u1533 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1531), skolem29(_u1533, _u1531)))) )).
% 12.23/12.47 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u1534 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1532), _u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1532), _u1534)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1535), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1536), _u1535)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1537), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1537), _u1538)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WT__bodiesD ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WT__bodiesD-1, axiom, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u1540)) | ( hAPP(c_Com_Obody, _u1539) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1540)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osize_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osize_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u1541, _u1542, hAPP(c_Option_Ooption_OSome(_u1541), _u1543)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1542, _u1543)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), c_Groups_Ozero__class_Ozero(_u1544)), _u1545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), _u1547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1544), _u1545), _u1547))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osize_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osize_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u1548, _u1549, c_Option_Ooption_ONone(_u1548)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_WTs__elim__cases_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_WTs__elim__cases_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1551))) | ( hAPP(c_Com_Obody, _u1551) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem30(_u1551))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_the_Osimps ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_the_Osimps-1, axiom, ( ( hAPP(c_Option_Othe(_u1552), hAPP(c_Option_Ooption_OSome(_u1552), _u1553)) = _u1553) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osimps_I2_J-1, axiom, ( ( c_Option_Ooption_ONone(_u1554) != hAPP(c_Option_Ooption_OSome(_u1554), _u1555)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osimps_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osimps_I3_J-1, axiom, ( ( hAPP(c_Option_Ooption_OSome(_u1556), _u1557) != c_Option_Ooption_ONone(_u1556)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__Some__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__Some__eq-1, axiom, ( ( _u1562 = hAPP(c_Option_Ooption_OSome(_u1564), skolem31(_u1564, _u1562))) | ( _u1562 = c_Option_Ooption_ONone(_u1564)) )).
% 12.23/12.47 cnf(fact_not__Some__eq-2, axiom, ( ( _u1563 != c_Option_Ooption_ONone(_u1565)) | ( _u1563 != hAPP(c_Option_Ooption_OSome(_u1565), _u1559)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__None__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__None__eq-1, axiom, ( ( _u1570 = c_Option_Ooption_ONone(_u1572)) | ( _u1570 = hAPP(c_Option_Ooption_OSome(_u1572), skolem32(_u1572, _u1570))) )).
% 12.23/12.47 cnf(fact_not__None__eq-2, axiom, ( ( _u1571 != hAPP(c_Option_Ooption_OSome(_u1573), _u1567)) | ( _u1571 != c_Option_Ooption_ONone(_u1573)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osize_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1574)), hAPP(c_Option_Ooption_OSome(_u1574), _u1575)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u1576) | ( _u1577 = _u1578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1576), _u1577), _u1578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1576), _u1578), _u1577)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Oinject ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Oinject-1, axiom, ( ( _u1584 = _u1586) | ( hAPP(c_Option_Ooption_OSome(_u1582), _u1584) != hAPP(c_Option_Ooption_OSome(_u1582), _u1586)) )).
% 12.23/12.47 cnf(fact_option_Oinject-2, axiom, ( ( _u1585 != _u1587) | ( hAPP(c_Option_Ooption_OSome(_u1583), _u1585) = hAPP(c_Option_Ooption_OSome(_u1583), _u1587)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osize_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1588)), c_Option_Ooption_ONone(_u1588)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1589), _u1590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1591), _u1590))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1592), _u1593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1593), _u1594))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osimps_I5_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osimps_I5_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1595, _u1596, _u1597, _u1598), hAPP(c_Option_Ooption_OSome(_u1596), _u1599)) = hAPP(_u1598, _u1599)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Orecs_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Orecs_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1600, _u1601, _u1602, _u1603, hAPP(c_Option_Ooption_OSome(_u1601), _u1604)) = hAPP(_u1603, _u1604)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Osimps_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Osimps_I4_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1605, _u1606, _u1607, _u1608), c_Option_Ooption_ONone(_u1606)) = _u1607) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_option_Orecs_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_option_Orecs_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1609, _u1610, _u1611, _u1612, c_Option_Ooption_ONone(_u1610)) = _u1611) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_is__none__code_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_is__none__code_I2_J-1, axiom, ( ~c_Option_Ois__none(_u1613, hAPP(c_Option_Ooption_OSome(_u1613), _u1614)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_is__none__def ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_is__none__def-1, axiom, ( ~c_Option_Ois__none(_u1617, _u1619) | ( _u1619 = c_Option_Ooption_ONone(_u1617)) )).
% 12.23/12.47 cnf(fact_is__none__def-2, axiom, ( ( _u1620 != c_Option_Ooption_ONone(_u1618)) | c_Option_Ois__none(_u1618, _u1620) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_is__none__code_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_is__none__code_I1_J-1, axiom, ( c_Option_Ois__none(_u1621, c_Option_Ooption_ONone(_u1621)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1622), c_Groups_Ozero__class_Ozero(_u1622)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1622), _u1623))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1623)) )).
% 12.23/12.47 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1622), c_Groups_Ozero__class_Ozero(_u1622)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1622), _u1623))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u1624) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1625) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1626)) | ( _u1625 = _u1626) )).
% 12.23/12.47 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u1624) | ( _u1625 != _u1626) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1625) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1626)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1628) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u1629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1629) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_int__0-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1634), _u1636)) | ( _u1636 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1634), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem33(_u1636, _u1634))))) )).
% 12.23/12.47 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u1637 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1635), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1631)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1635), _u1637)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1640)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1640), _u1642)) )).
% 12.23/12.47 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1641), _u1643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1641)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1643))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1645)), _u1646)) = 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), _u1644), _u1645))), _u1646)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1647)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1648)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1647), _u1648))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1650)) )).
% 12.23/12.47 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)), _u1651)) | 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), _u1651))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1652), _u1653)), c_Groups_Ozero__class_Ozero(_u1652))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u1654) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1654), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1654)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1655), _u1656)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1655), _u1657))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1656), _u1657)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1658), _u1659)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1658), _u1660))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1662)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1662), _u1663)) )).
% 12.23/12.47 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1662), _u1663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1662)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1663))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u1664) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1665), _u1666)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1664), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), _u1665)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), _u1666))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__imp__Suc__add ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__imp__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1668), _u1669)) | ( _u1669 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1668), skolem34(_u1669, _u1668)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__imp__add__positive ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__imp__add__positive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem35(_u1672, _u1671))) )).
% 12.23/12.47 cnf(fact_less__imp__add__positive-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1671), _u1672)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1671), skolem35(_u1672, _u1671)) = _u1672) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_gr0__implies__Suc ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1674)) | ( _u1674 = hAPP(c_Nat_OSuc, skolem36(_u1674))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_lift__Suc__mono__less__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_lift__Suc__mono__less__iff-1, axiom, ( ~class_Orderings_Oorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, skolem37(_u1679, _u1678, _u1677, _u1676))), hAPP(_u1677, hAPP(c_Nat_OSuc, skolem37(_u1679, _u1678, _u1677, _u1676))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, _u1678)), hAPP(_u1677, _u1679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1678), _u1679)) )).
% 12.23/12.47 cnf(fact_lift__Suc__mono__less__iff-2, axiom, ( ~class_Orderings_Oorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, skolem37(_u1679, _u1678, _u1677, _u1676))), hAPP(_u1677, hAPP(c_Nat_OSuc, skolem37(_u1679, _u1678, _u1677, _u1676))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1678), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, _u1678)), hAPP(_u1677, _u1679))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_lift__Suc__mono__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_lift__Suc__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u1681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), hAPP(_u1682, skolem38(_u1684, _u1683, _u1682, _u1681))), hAPP(_u1682, hAPP(c_Nat_OSuc, skolem38(_u1684, _u1683, _u1682, _u1681))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1683), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), hAPP(_u1682, _u1683)), hAPP(_u1682, _u1684))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1685)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1686)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1685), _u1686))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1689)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1689), _u1691)) )).
% 12.23/12.47 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1690), _u1692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1690)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1692))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_transfer__int__nat__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1693), _u1694), _u1694)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 = _u1697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1696), _u1697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1697), _u1696)) )).
% 12.23/12.47 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 != _u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1696), _u1697)) )).
% 12.23/12.47 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 != _u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1697), _u1696)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1698)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1701) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1703)) | ( _u1701 = _u1703) )).
% 12.23/12.47 cnf(fact_int__int__eq-2, axiom, ( ( _u1702 != _u1704) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1702) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1704)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1707) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1709)) | ( _u1707 = _u1709) )).
% 12.23/12.47 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u1708 != _u1710) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1708) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1710)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1711) = _u1711) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1712) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1713), _u1714)), _u1715) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1713), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1714), _u1715))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1716), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1717), _u1718)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1716), _u1718))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1719), _u1720) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1720), _u1719)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1721), _u1722)) | ( _u1721 = _u1722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1722), _u1721)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1723), _u1724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1723), _u1725)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1724), _u1725))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ( _u1727 = _u1728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1728), _u1727)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1730), _u1731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1731), _u1730)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1733), _u1734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1735), _u1733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1735), _u1734)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1737), _u1738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1738), _u1739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1737), _u1739)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1740), _u1741), _u1742)) | ( _u1741 != _u1743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1740), _u1743), _u1742)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1745), _u1746)) | ( _u1746 != _u1747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1745), _u1747)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1748) | ( _u1749 != _u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), _u1751), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), _u1751), _u1749)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1752) | ( _u1753 != _u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1752), _u1754), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1752), _u1753), _u1755)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1757), _u1758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1758), _u1757)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1761), _u1760)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | ( _u1764 != _u1763) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | ( _u1766 != _u1767) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1768) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1769), _u1770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1770), _u1769)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1772), _u1773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1773), _u1772)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1776) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1777) | ( _u1778 = _u1779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1778), _u1779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1779), _u1778)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1781), _u1782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) | ( _u1782 = _u1781) )).
% 12.23/12.47 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1781), _u1782)) | ( _u1782 != _u1781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1783) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1784), _u1785)) | ( _u1784 = _u1785) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1785), _u1784)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1786) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1788), _u1787)) | ( _u1787 = _u1788) )).
% 12.23/12.47 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1788), _u1787)) )).
% 12.23/12.47 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | ( _u1787 != _u1788) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem39(_u1790))) )).
% 12.23/12.47 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)), _u1790)) | ( _u1790 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem39(_u1790))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), hAPP(c_Int_Oring__1__class_Oof__int(_u1791), _u1792)), c_Groups_Ozero__class_Ozero(_u1791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1792), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1792), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), hAPP(c_Int_Oring__1__class_Oof__int(_u1791), _u1792)), c_Groups_Ozero__class_Ozero(_u1791))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1793), c_Groups_Ozero__class_Ozero(_u1793)), hAPP(c_Int_Oring__1__class_Oof__int(_u1793), _u1794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1794)) )).
% 12.23/12.47 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1793), c_Groups_Ozero__class_Ozero(_u1793)), hAPP(c_Int_Oring__1__class_Oof__int(_u1793), _u1794))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1795), _u1796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1797)) | 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), _u1797)), _u1795)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1797)), _u1796))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 12.23/12.47 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, _u1798)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u1803, hAPP(c_Int_Onat, _u1805))) | ( _u1805 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1799)) | hBOOL(hAPP(_u1803, _u1799)) )).
% 12.23/12.47 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u1803, hAPP(c_Int_Onat, _u1805))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1805), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1803, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ( _u1806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1806, _u1804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1806), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ( _u1806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1806, _u1804))) | ~hBOOL(hAPP(_u1804, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ~hBOOL(hAPP(_u1804, skolem40(_u1806, _u1804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1806), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ~hBOOL(hAPP(_u1804, skolem40(_u1806, _u1804))) | ~hBOOL(hAPP(_u1804, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 12.23/12.47 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, _u1808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1808)) )).
% 12.23/12.47 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)), _u1809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1809))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 12.23/12.47 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, _u1810)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1811))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1812)) = 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), _u1812))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1814)), _u1814)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1814), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1815), 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)), _u1815)), _u1815)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1816) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1816), _u1817), _u1818)), _u1818) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1816), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1816), _u1817), c_Groups_Oone__class_Oone(_u1816))), _u1818)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1819) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1819), _u1820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1819), _u1821), _u1820)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1819), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1819), _u1821), c_Groups_Oone__class_Oone(_u1819))), _u1820)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1822) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), _u1823), _u1823) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), c_Groups_Oone__class_Oone(_u1822)), c_Groups_Oone__class_Oone(_u1822))), _u1823)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), _u1826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), _u1826))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 = _u1829) | ( _u1828 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1829)) )).
% 12.23/12.47 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 != _u1829) )).
% 12.23/12.47 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1829)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) != c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1830), c_Groups_Oone__class_Oone(_u1830))) )).
% 12.23/12.47 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 != c_Groups_Oone__class_Oone(_u1830)) )).
% 12.23/12.47 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1830), c_Groups_Oone__class_Oone(_u1830))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1832) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1832), hAPP(c_Groups_Ouminus__class_Ouminus(_u1832), _u1833)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1832), _u1834)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1832), _u1833), _u1834)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1835) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), hAPP(c_Groups_Ouminus__class_Ouminus(_u1835), _u1836)), _u1837) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1836), hAPP(c_Groups_Ouminus__class_Ouminus(_u1835), _u1837))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1838) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1838), _u1839), _u1840)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1838), hAPP(c_Groups_Ouminus__class_Ouminus(_u1838), _u1839)), _u1840)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1842), _u1843)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1842), hAPP(c_Groups_Ouminus__class_Ouminus(_u1841), _u1843))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1844) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1845), _u1846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1847), _u1848)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1845), _u1847)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1846), _u1848))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1849) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1852), _u1853)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851)), _u1853))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1854) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), _u1856)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1857), _u1858)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1856), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1857), _u1858)))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1859) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1861)), _u1862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1862)), _u1861)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1863), _u1864)), _u1865) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1863), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1864), _u1865))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1867), _u1868)), _u1869) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1868), _u1869))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1870) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1871), _u1872)), _u1873) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1872), _u1873))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1874) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1875) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1876)) | ( _u1875 = _u1876) )).
% 12.23/12.47 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1874) | ( _u1875 != _u1876) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1875) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1876)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1877) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1878) != hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1879)) | ( _u1878 = _u1879) )).
% 12.23/12.47 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1877) | ( _u1878 != _u1879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1878) = hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1879)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1880) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1881) != _u1882) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1882) = _u1881) )).
% 12.23/12.47 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1880) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1882) != _u1881) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1881) = _u1882) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1883)), _u1884) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1883), _u1884))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1885) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1887), _u1888)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1886), _u1887)), _u1888)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1889) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), _u1892)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), _u1892))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1893) | ( _u1894 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1895)) | ( _u1895 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1894)) )).
% 12.23/12.47 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1893) | ( _u1895 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1894)) | ( _u1894 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1895)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1896), _u1897) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1897), _u1896)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1898) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1898), _u1899), _u1900) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1898), _u1900), _u1899)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1901), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1901) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1902) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1903), c_Groups_Oone__class_Oone(_u1902)) = _u1903) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1904) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1904), _u1905), c_Groups_Oone__class_Oone(_u1904)) = _u1905) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), c_Groups_Oone__class_Oone(_u1906)) = _u1907) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1908) | ( c_Groups_Oone__class_Oone(_u1908) != _u1909) | ( _u1909 = c_Groups_Oone__class_Oone(_u1908)) )).
% 12.23/12.47 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1908) | ( _u1909 != c_Groups_Oone__class_Oone(_u1908)) | ( c_Groups_Oone__class_Oone(_u1908) = _u1909) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1910) = _u1910) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), c_Groups_Oone__class_Oone(_u1911)), _u1912) = _u1912) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1913) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1913), c_Groups_Oone__class_Oone(_u1913)), _u1914) = _u1914) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1915) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), c_Groups_Oone__class_Oone(_u1915)), _u1916) = _u1916) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u1917) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1917), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1918), _u1919)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1917), hAPP(c_Int_Oring__1__class_Oof__int(_u1917), _u1918)), hAPP(c_Int_Oring__1__class_Oof__int(_u1917), _u1919))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u1920) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1920), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1921)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1920), hAPP(c_Int_Oring__1__class_Oof__int(_u1920), _u1921))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1922)) = _u1922) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1923) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1923), hAPP(c_Groups_Ouminus__class_Ouminus(_u1923), _u1924)) = _u1924) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1925) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1925), _u1926) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), hAPP(c_Groups_Ouminus__class_Ouminus(_u1925), c_Groups_Oone__class_Oone(_u1925))), _u1926)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u1927) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1927), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1927)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u1928) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1929), _u1930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1928), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), _u1929)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), _u1930))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1931) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1931), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1931)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u1932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1932), _u1933) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1932), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1932), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1933))))) )).
% 12.23/12.47 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u1932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1932), _u1933) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1932), hAPP(c_Int_Onat, _u1933))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 12.23/12.47 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), _u1934))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__1-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.47 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)), _u1935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1935 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.47 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)), _u1935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1936 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.47 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)), _u1935)) | ( _u1935 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1936 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u1937) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1937), c_Groups_Ozero__class_Ozero(_u1937)) = c_Groups_Ozero__class_Ozero(_u1937)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1938) | ( c_Groups_Ozero__class_Ozero(_u1938) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1938), _u1939)) | ( c_Groups_Ozero__class_Ozero(_u1938) = _u1939) )).
% 12.23/12.47 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1938) | ( c_Groups_Ozero__class_Ozero(_u1938) != _u1939) | ( c_Groups_Ozero__class_Ozero(_u1938) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1938), _u1939)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1940) | ( _u1941 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1940), _u1941)) | ( _u1941 = c_Groups_Ozero__class_Ozero(_u1940)) )).
% 12.23/12.47 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1940) | ( _u1941 != c_Groups_Ozero__class_Ozero(_u1940)) | ( _u1941 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1940), _u1941)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1942) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1942), _u1943) != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.23/12.47 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1942) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1942), _u1943) = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1944) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1944), _u1945) != _u1945) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1944)) )).
% 12.23/12.47 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1944) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1944)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1944), _u1945) = _u1945) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1947)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), _u1948), _u1947)) )).
% 12.23/12.47 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), _u1948), _u1947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1947)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1948))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1950)), _u1951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1951)), _u1950)) )).
% 12.23/12.47 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1951)), _u1950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1950)), _u1951)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1953), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1954), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1953))) )).
% 12.23/12.47 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1954), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1953))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1953), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1954))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u1955) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1956), _u1957)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), _u1956)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), _u1957))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1958) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1958), _u1959), _u1960)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1958), hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), _u1960)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), _u1959))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1961) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1961), _u1962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1961), hAPP(c_Groups_Ouminus__class_Ouminus(_u1961), _u1962)), _u1963)) = _u1963) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1964) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), _u1965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1966)) = _u1966) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1967) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), c_Groups_Ozero__class_Ozero(_u1967)), _u1968) = c_Groups_Ozero__class_Ozero(_u1967)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1969) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1969), _u1970), c_Groups_Ozero__class_Ozero(_u1969)) = c_Groups_Ozero__class_Ozero(_u1969)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u1971) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1971), c_Groups_Ozero__class_Ozero(_u1971)), _u1972) = c_Groups_Ozero__class_Ozero(_u1971)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u1973) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1973), _u1974), c_Groups_Ozero__class_Ozero(_u1973)) = c_Groups_Ozero__class_Ozero(_u1973)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) != c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1976 = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1977 = c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.23/12.47 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1976 != c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.23/12.47 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1977 != c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1978) | ( _u1979 = c_Groups_Ozero__class_Ozero(_u1978)) | ( _u1980 = c_Groups_Ozero__class_Ozero(_u1978)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), _u1980) != c_Groups_Ozero__class_Ozero(_u1978)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1981) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1981), _u1982), _u1983) != c_Groups_Ozero__class_Ozero(_u1981)) | ( _u1982 = c_Groups_Ozero__class_Ozero(_u1981)) | ( _u1983 = c_Groups_Ozero__class_Ozero(_u1981)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1984) | ( c_Groups_Oone__class_Oone(_u1984) != c_Groups_Ozero__class_Ozero(_u1984)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1985) | ( c_Groups_Ozero__class_Ozero(_u1985) != c_Groups_Oone__class_Oone(_u1985)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zminus__0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1986)) = _u1986) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1987) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1987), _u1989), _u1990)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), _u1989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), _u1990))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( _u1992 = _u1993) | ( _u1994 = _u1995) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) )).
% 12.23/12.47 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) | ( _u1992 != _u1993) )).
% 12.23/12.47 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) | ( _u1994 != _u1995) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1996), _u1997), _u1998)), _u1999) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1997), _u1999)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1998), _u1999))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2000) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2002)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2003), _u2002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2000), _u2001), _u2003)), _u2002)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2005 = _u2007) | ( _u2006 = _u2008) )).
% 12.23/12.47 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2005 != _u2007) )).
% 12.23/12.47 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2006 != _u2008) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u2009) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2010), _u2011)), _u2012) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), _u2010), _u2012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), _u2011), _u2012))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u2013) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), _u2014), _u2015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), _u2016), _u2015)), _u2017)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), _u2014), _u2016)), _u2015)), _u2017)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.23/12.47 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), _u2018), _u2019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2018)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2019))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2021), _u2022)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), _u2021)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), _u2022))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.23/12.47 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), _u2023), _u2024)), _u2025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2023), _u2025)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2024), _u2025))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 12.23/12.47 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), _u2026)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2026)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 12.23/12.47 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, _u2028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2028)) )).
% 12.23/12.47 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)), _u2029)) | 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, _u2029))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), c_Groups_Ozero__class_Ozero(_u2030)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), _u2031), c_Groups_Ozero__class_Ozero(_u2030))) )).
% 12.23/12.47 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), _u2031), c_Groups_Ozero__class_Ozero(_u2030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), c_Groups_Ozero__class_Ozero(_u2030)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), hAPP(c_Groups_Ouminus__class_Ouminus(_u2032), _u2033)), c_Groups_Ozero__class_Ozero(_u2032))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), c_Groups_Ozero__class_Ozero(_u2032)), _u2033)) )).
% 12.23/12.47 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), c_Groups_Ozero__class_Ozero(_u2032)), _u2033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), hAPP(c_Groups_Ouminus__class_Ouminus(_u2032), _u2033)), c_Groups_Ozero__class_Ozero(_u2032))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), _u2035)), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035)) )).
% 12.23/12.47 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), _u2035)), _u2035)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036))) )).
% 12.23/12.47 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u2038) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2038), _u2039), _u2040) != c_Groups_Ozero__class_Ozero(_u2038)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2038), _u2039) = _u2040) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u2041) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2041), hAPP(c_Groups_Ouminus__class_Ouminus(_u2041), _u2042)), _u2042) = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2043) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2043), hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044)), _u2044) = c_Groups_Ozero__class_Ozero(_u2043)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u2045) | ( _u2046 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), _u2046), _u2047) = c_Groups_Ozero__class_Ozero(_u2045)) )).
% 12.23/12.47 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u2045) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), _u2046), _u2047) != c_Groups_Ozero__class_Ozero(_u2045)) | ( _u2046 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2048) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2048), _u2049), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)) = c_Groups_Ozero__class_Ozero(_u2048)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_nat__0-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_transfer__nat__int__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2050), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2050), _u2051), _u2051)), c_Groups_Ozero__class_Ozero(_u2050))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), c_Groups_Ozero__class_Ozero(_u2060)), _u2061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2063))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), _u2062), _u2063)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), c_Groups_Ozero__class_Ozero(_u2060)), _u2061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), _u2062), _u2063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2063))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), _u2065)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), _u2066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2064), _u2065), _u2066))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), c_Groups_Ozero__class_Ozero(_u2067)), _u2068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), _u2069), c_Groups_Ozero__class_Ozero(_u2067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2069)), c_Groups_Ozero__class_Ozero(_u2067))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), c_Groups_Ozero__class_Ozero(_u2070)), _u2071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), _u2072), c_Groups_Ozero__class_Ozero(_u2070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2072), _u2071)), c_Groups_Ozero__class_Ozero(_u2070))) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2073), _u2074), _u2075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), _u2074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), _u2075)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2076) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2077), _u2078))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), _u2078)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), _u2077)) )).
% 12.23/12.47
% 12.23/12.47 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.23/12.47 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2080), c_Groups_Ozero__class_Ozero(_u2079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2082), _u2081)) )).
% 12.23/12.47 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2080), c_Groups_Ozero__class_Ozero(_u2079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2082), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2082))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2083) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), _u2084), c_Groups_Ozero__class_Ozero(_u2083))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), c_Groups_Ozero__class_Ozero(_u2083)), _u2085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2083), _u2084), _u2085)), c_Groups_Ozero__class_Ozero(_u2083))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2086) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), _u2087), c_Groups_Ozero__class_Ozero(_u2086))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), _u2088), c_Groups_Ozero__class_Ozero(_u2086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), c_Groups_Ozero__class_Ozero(_u2086)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2087), _u2088))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), _u2090), _u2091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), c_Groups_Ozero__class_Ozero(_u2089)), _u2092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2089), _u2090), _u2092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2089), _u2091), _u2092))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), _u2094), _u2095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), c_Groups_Ozero__class_Ozero(_u2093)), _u2096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2093), _u2096), _u2094)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2093), _u2096), _u2095))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2097), _u2100), _u2098)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2097), _u2100), _u2099))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), _u2102), _u2103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), _u2104), c_Groups_Ozero__class_Ozero(_u2101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2101), _u2103), _u2104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2101), _u2102), _u2104))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), _u2106), _u2107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), _u2108), c_Groups_Ozero__class_Ozero(_u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2108), _u2107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2108), _u2106))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2109), c_Groups_Oone__class_Oone(_u2109)), c_Groups_Ozero__class_Ozero(_u2109))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2110), c_Groups_Ozero__class_Ozero(_u2110)), c_Groups_Oone__class_Oone(_u2110))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2112 = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.47 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2113 = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.47 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( _u2112 != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2113 != c_Groups_Ozero__class_Ozero(_u2111)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2114) | ( _u2115 = c_Groups_Ozero__class_Ozero(_u2114)) | ( _u2116 != _u2117) | ( _u2118 = _u2119) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2114), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2118)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2114), _u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2119))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2120) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), _u2121), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2120), _u2121), c_Groups_Oone__class_Oone(_u2120)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2122)), _u2122) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2125)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2127)) | ( _u2125 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 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), _u2125)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2127)) | ( _u2127 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_negative__eq__positive-3, axiom, ( ( _u2126 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2128 != 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), _u2126)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2128)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2129)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2130)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2131), _u2132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2131)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2132))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_int__0__less__1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2134)), _u2134) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2139), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2137), _u2139)) | ( _u2137 = _u2139) )).
% 12.32/12.47 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2140), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), _u2140)) )).
% 12.32/12.47 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2140), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2138 != _u2140) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u2141) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2141), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u2141)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2142) | ( c_Groups_Ozero__class_Ozero(_u2142) != hAPP(c_Int_Oring__1__class_Oof__int(_u2142), _u2143)) | ( _u2143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2142) | ( _u2143 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u2142) = hAPP(c_Int_Oring__1__class_Oof__int(_u2142), _u2143)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2144) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2144), _u2145) != c_Groups_Ozero__class_Ozero(_u2144)) | ( _u2145 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2144) | ( _u2145 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2144), _u2145) = c_Groups_Ozero__class_Ozero(_u2144)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2147)), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2148))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2147), _u2148)) )).
% 12.32/12.47 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2147)), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2148))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u2149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2150), _u2151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2149), hAPP(c_Int_Oring__1__class_Oof__int(_u2149), _u2150)), hAPP(c_Int_Oring__1__class_Oof__int(_u2149), _u2151))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u2152) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2153)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2152), _u2153)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2156)), hAPP(c_Int_Onat, _u2158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2158)) )).
% 12.32/12.47 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2156)), hAPP(c_Int_Onat, _u2158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2156), _u2158)) )).
% 12.32/12.47 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)), _u2159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2157), _u2159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2157)), hAPP(c_Int_Onat, _u2159))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2161)), hAPP(c_Int_Onat, _u2160))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2161), _u2160)) )).
% 12.32/12.47 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)), _u2160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2161), _u2160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2161)), hAPP(c_Int_Onat, _u2160))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), hAPP(c_Int_Onat, _u2166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2164)), _u2166)) )).
% 12.32/12.47 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), _u2165)), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2165), hAPP(c_Int_Onat, _u2167))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2169), _u2169)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2170), _u2170))), c_Groups_Ozero__class_Ozero(_u2168))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2172 != c_Groups_Ozero__class_Ozero(_u2171)) | ( _u2173 != c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.47 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2172 = c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.47 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2173 = c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), c_Groups_Ozero__class_Ozero(_u2174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2174), c_Groups_Oone__class_Oone(_u2174)), c_Groups_Oone__class_Oone(_u2174)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u2175) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2175), hAPP(c_Nat_OSuc, _u2176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2175), c_Groups_Oone__class_Oone(_u2175)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2175), _u2176))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_int__Suc0__eq__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u2177, _u2178) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2177)), _u2178)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_negD ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2180), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2180 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem41(_u2180))))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 != c_Groups_Ozero__class_Ozero(_u2181)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = c_Groups_Ozero__class_Ozero(_u2181)) )).
% 12.32/12.47 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2181), c_Groups_Ozero__class_Ozero(_u2181)), _u2182)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = c_Groups_Oone__class_Oone(_u2181)) )).
% 12.32/12.47 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2181), c_Groups_Ozero__class_Ozero(_u2181)), _u2182)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2181), c_Groups_Oone__class_Oone(_u2181))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2183), _u2184), c_Groups_Ozero__class_Ozero(_u2183))) | ( c_Groups_Osgn__class_Osgn(_u2183, _u2184) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2183), c_Groups_Oone__class_Oone(_u2183))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2185) | ( c_Groups_Osgn__class_Osgn(_u2185, _u2186) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2185), c_Groups_Oone__class_Oone(_u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2186), c_Groups_Ozero__class_Ozero(_u2185))) )).
% 12.32/12.47 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u2185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2186), c_Groups_Ozero__class_Ozero(_u2185))) | ( c_Groups_Osgn__class_Osgn(_u2185, _u2186) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2185), c_Groups_Oone__class_Oone(_u2185))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zsgn__def-1, axiom, ( ( _u2188 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2188) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47 cnf(fact_zsgn__def-2, axiom, ( ( _u2189 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2189)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2189) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.47 cnf(fact_zsgn__def-3, axiom, ( ( _u2189 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2189)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2189) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2190)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2190)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2190))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2191)), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2191), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192))) )).
% 12.32/12.47 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)), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2191), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2191)), _u2192)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u2193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), _u2194), _u2195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), _u2196), _u2195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2193), c_Groups_Ozero__class_Ozero(_u2193)), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2193), c_Groups_Ozero__class_Ozero(_u2193)), _u2198)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2193), _u2197), _u2198) != c_Groups_Oone__class_Oone(_u2193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2197), _u2194)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2198), _u2196))), _u2195)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2199) | ( c_Groups_Osgn__class_Osgn(_u2199, _u2200) != c_Groups_Oone__class_Oone(_u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2199), c_Groups_Ozero__class_Ozero(_u2199)), _u2200)) )).
% 12.32/12.47 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u2199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2199), c_Groups_Ozero__class_Ozero(_u2199)), _u2200)) | ( c_Groups_Osgn__class_Osgn(_u2199, _u2200) = c_Groups_Oone__class_Oone(_u2199)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2201) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2201), _u2202), _u2202)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2203)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2204))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2205))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2206), _u2207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2208), _u2209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2206), _u2208)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2207), _u2209))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2210), _u2211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2212), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2212), _u2211))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2213), _u2214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2214), _u2215))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2216), _u2217)), _u2218) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2217), _u2218))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2221 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2223 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2222 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2224 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2222), _u2224) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2226) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2226), _u2225)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2227), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2227) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2230), _u2232)) | ( _u2230 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.47 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), _u2230), _u2232)) | ( _u2232 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2231 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2233 != 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), _u2231), _u2233)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2234) = _u2234) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2235)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2236), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2236), _u2236))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2237 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2237), _u2238)) | ( _u2238 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2246)) | ~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, _u2242)), _u2244)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2242)), _u2246))) )).
% 12.32/12.47 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2245), _u2247)) | 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, _u2243)), _u2245)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2243)), _u2247))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2248), _u2248)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2249), _u2250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2250), _u2249)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2251), _u2252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2252), _u2253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2251), _u2253)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2254), _u2255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2255), _u2254)) | ( _u2254 = _u2255) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2256) | ( c_Groups_Osgn__class_Osgn(_u2256, c_Groups_Osgn__class_Osgn(_u2256, _u2257)) = c_Groups_Osgn__class_Osgn(_u2256, _u2257)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2261, _u2260)), _u2262), _u2263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(_u2262, _u2258)), hAPP(_u2263, _u2258))) )).
% 12.32/12.47 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(_u2262, skolem42(_u2263, _u2262, _u2261, _u2260))), hAPP(_u2263, skolem42(_u2263, _u2262, _u2261, _u2260)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2261, _u2260)), _u2262), _u2263)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2264) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2266), _u2265)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2267) | ( _u2268 != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2268), _u2269)) )).
% 12.32/12.47 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2267) | ( _u2268 != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2269), _u2268)) )).
% 12.32/12.47 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2268), _u2269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2269), _u2268)) | ( _u2268 = _u2269) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2270) | ( _u2271 != _u2272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2270), _u2271), _u2272)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2274, _u2273)), _u2275), _u2276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2273), hAPP(_u2275, _u2277)), hAPP(_u2276, _u2277))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u2278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2280), _u2279)) | ( _u2280 = _u2279) )).
% 12.32/12.47 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2279), _u2280)) | ( _u2280 != _u2279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2280), _u2279)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2281) | ( _u2282 != _u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2281), _u2283), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2281), _u2282), _u2284)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2285) | ( _u2286 != _u2287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2285), _u2288), _u2287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2285), _u2288), _u2286)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2289), _u2290), _u2291)) | ( _u2291 != _u2292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2289), _u2290), _u2292)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2293), _u2294), _u2295)) | ( _u2294 != _u2296) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2293), _u2296), _u2295)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2297), _u2298), _u2299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2297), _u2299), _u2298)) | ( _u2298 = _u2299) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2301), _u2302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2302), _u2303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2301), _u2303)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2304), _u2305), _u2306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2304), _u2306), _u2305)) | ( _u2306 = _u2305) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2308), _u2309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2310), _u2308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2310), _u2309)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2312, _u2311)), _u2313), _u2314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2311), hAPP(_u2313, _u2315)), hAPP(_u2314, _u2315))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2316), _u2317), _u2318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2316), _u2318), _u2317)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2319), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2320)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) )).
% 12.32/12.47 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2319), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2320)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2321))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2324)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2324), _u2326)) )).
% 12.32/12.47 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2325), _u2327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2325)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2327))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2330)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2330), _u2332)) )).
% 12.32/12.47 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2331)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2333))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2334), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2335)), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2335), _u2336)) )).
% 12.32/12.47 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2335), _u2336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2334), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2335)), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2336))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2339), _u2341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2339)) )).
% 12.32/12.47 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), _u2339), _u2341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2341)) )).
% 12.32/12.47 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))), _u2340)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2342)) | 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), _u2340), _u2342))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2346), _u2348)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2346), _u2350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2348), _u2350)) )).
% 12.32/12.47 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), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2347)) )).
% 12.32/12.47 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), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2349), _u2351)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2355), _u2357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2359), _u2357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2355), _u2359)) )).
% 12.32/12.47 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), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2360), _u2358))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2358)) )).
% 12.32/12.47 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), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2360), _u2358))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), _u2360)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2361)), hAPP(c_Int_Onat, _u2362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2361), _u2362)) )).
% 12.32/12.47 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)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2361), _u2362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2361)), hAPP(c_Int_Onat, _u2362))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2364), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2363), _u2366), _u2364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2363), _u2366), _u2365)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2367), _u2368), _u2369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), _u2369), _u2370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), _u2368), _u2370)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2371), _u2372), _u2373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), _u2374), _u2372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2371), _u2374), _u2373)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2375), _u2376), _u2377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2375), _u2377), _u2378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2375), _u2376), _u2378)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2379), _u2380), _u2381)) | ( _u2381 = _u2380) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2379), _u2380), _u2381)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), _u2383), _u2384)) | ( _u2383 = _u2384) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), _u2383), _u2384)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2385), _u2386), _u2387)) | ( _u2386 = _u2387) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2388), _u2389), _u2390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2388), _u2389), _u2390)) | ( _u2389 = _u2390) )).
% 12.32/12.47 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2388), _u2389), _u2390)) | ( _u2389 != _u2390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2388), _u2389), _u2390)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2391), _u2392), _u2393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2391), _u2392), _u2393)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), _u2395), _u2396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), _u2396), _u2395)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2397) | ( _u2398 = _u2399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), _u2399), _u2398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2397), _u2399), _u2398)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2400) | ( _u2401 = _u2402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2400), _u2401), _u2402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2400), _u2401), _u2402)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2403) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2403), _u2404), _u2405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2403), _u2404), _u2405)) | ( _u2404 = _u2405) )).
% 12.32/12.47 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2403) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2403), _u2404), _u2405)) | ( _u2404 != _u2405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2403), _u2404), _u2405)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), _u2407), _u2408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2406), _u2408), _u2407)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2409) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2410), _u2411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), _u2411), _u2410)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2412), _u2413), _u2414)) | ( _u2413 = _u2414) )).
% 12.32/12.47 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2412), _u2413), _u2414)) )).
% 12.32/12.47 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | ( _u2413 != _u2414) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2416), _u2417)) )).
% 12.32/12.47 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2417), _u2416)) )).
% 12.32/12.47 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2417), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2419), _u2420)) )).
% 12.32/12.47 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) | ( _u2419 != _u2420) )).
% 12.32/12.47 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2419), _u2420)) | ( _u2419 = _u2420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), _u2422), _u2423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2421), _u2423), _u2422)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2424) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2424), _u2425), _u2426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2424), _u2426), _u2425)) )).
% 12.32/12.47 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2424), _u2426), _u2425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2424), _u2425), _u2426)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2427) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2427), _u2428), _u2429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2427), _u2429), _u2428)) )).
% 12.32/12.47 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2427), _u2429), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2427), _u2428), _u2429)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2432)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2433)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2434), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2434), _u2435), _u2436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2434), _u2437), _u2436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2434), _u2435), _u2437)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), _u2439), _u2440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), _u2441), _u2442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2438), _u2439), _u2441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2438), _u2440), _u2442))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2443), _u2444), _u2445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2443), _u2446), _u2444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2443), _u2446), _u2445))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2447), _u2448), _u2449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2447), _u2448), _u2450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2447), _u2449), _u2450))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2453), _u2454)) )).
% 12.32/12.47 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2453), _u2454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2454))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2456), _u2457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2458), _u2457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), _u2456), _u2458)) )).
% 12.32/12.47 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), _u2456), _u2458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2456), _u2457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2458), _u2457))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2459) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2460), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2463), _u2465) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2464), _u2466) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2464), _u2466) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2466 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2470), _u2472) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2470), _u2474)) | ( _u2472 = _u2474) | ( _u2470 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2473) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2475)) | ( _u2473 != _u2475) )).
% 12.32/12.47 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2473) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2475)) | ( _u2471 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2479), _u2481) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2483), _u2481)) | ( _u2479 = _u2483) | ( _u2481 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2480), _u2482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2482)) | ( _u2480 != _u2484) )).
% 12.32/12.47 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2480), _u2482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2482)) | ( _u2482 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u2490 = _u2492) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2488)), _u2490) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2488)), _u2492)) )).
% 12.32/12.47 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u2491 != _u2493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2489)), _u2491) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2489)), _u2493)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2494)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2496), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_le__0__eq-2, axiom, ( ( _u2497 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2497), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2499), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) )).
% 12.32/12.47 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2499), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2500))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2502)), _u2503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2503)), _u2502)) )).
% 12.32/12.47 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2503)), _u2502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2502)), _u2503)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2505)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), _u2506), _u2505)) )).
% 12.32/12.47 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), _u2506), _u2505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2505)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2506))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2507), _u2508), _u2509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2507), hAPP(c_Groups_Ouminus__class_Ouminus(_u2507), _u2509)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2507), _u2508))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2511), _u2512)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2513), _u2514)), _u2515) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2514), _u2515))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2516)), _u2517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2516), _u2517)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), hAPP(c_Nat_OSuc, _u2519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), _u2519)) | ( _u2518 = hAPP(c_Nat_OSuc, _u2519)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), hAPP(c_Nat_OSuc, _u2521))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2524)), hAPP(c_Nat_OSuc, _u2526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2526)) )).
% 12.32/12.47 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2525), _u2527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2525)), hAPP(c_Nat_OSuc, _u2527))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2530), hAPP(c_Nat_OSuc, _u2532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2530), _u2532)) | ( _u2530 = hAPP(c_Nat_OSuc, _u2532)) )).
% 12.32/12.47 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), hAPP(c_Nat_OSuc, _u2533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), _u2533)) )).
% 12.32/12.47 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), hAPP(c_Nat_OSuc, _u2533))) | ( _u2531 != hAPP(c_Nat_OSuc, _u2533)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2536), _u2538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2538)), _u2536)) )).
% 12.32/12.47 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2539)), _u2537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2537), _u2539)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.32/12.47 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, _u2540)), _u2540)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2543), _u2545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2543), _u2545)) )).
% 12.32/12.47 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2543), _u2545)) | ( _u2543 != _u2545) )).
% 12.32/12.47 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2544), _u2546)) | ( _u2544 = _u2546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2544), _u2546)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2549), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), _u2551)) | ( _u2549 = _u2551) )).
% 12.32/12.47 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2550), _u2552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2550), _u2552)) )).
% 12.32/12.47 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2550), _u2552)) | ( _u2550 != _u2552) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2553), _u2554)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2555), _u2556)) | ( _u2555 = _u2556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2555), _u2556)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2557), _u2558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2557), _u2558)) )).
% 12.32/12.47 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2557), _u2558)) | ( _u2557 != _u2558) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2559), _u2560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2560)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2562), _u2561))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2563), _u2564))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2569), _u2571)) | ( _u2571 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2569), skolem43(_u2571, _u2569))) )).
% 12.32/12.47 cnf(fact_le__iff__add-2, axiom, ( ( _u2572 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2570), _u2566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2570), _u2572)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2578), _u2580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2576), _u2578)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2576), _u2580))) )).
% 12.32/12.47 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2579), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2577), _u2579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2577), _u2581))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2582), _u2583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2583), _u2584))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2587), _u2586))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2588), _u2589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2588), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2589), _u2590))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2591), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), _u2594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2591), _u2593)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2592), _u2594))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2596), _u2597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2595), _u2596)), _u2597)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2598), _u2599)), _u2600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2598), _u2600)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2601), _u2603)) )).
% 12.32/12.47 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), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2606), _u2605))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2607), _u2608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2608), _u2609))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2612), _u2614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2612), _u2614)) )).
% 12.32/12.47 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2612), _u2614)) | ( _u2612 != _u2614) )).
% 12.32/12.47 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2613), _u2615)) | ( _u2613 = _u2615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2613), _u2615)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2616), _u2617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2618), _u2616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2618), _u2617))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u2619, _u2620, _u2621, _u2622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2621), _u2623)) | c_Natural_Oevaln(_u2619, _u2620, _u2623, _u2622) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) )).
% 12.32/12.47 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)), _u2624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) )).
% 12.32/12.47 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)), _u2625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) )).
% 12.32/12.47 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)), _u2625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2626)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2626), _u2627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2626)), hAPP(c_Int_Onat, _u2627))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2629)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2628)), hAPP(c_Int_Onat, _u2629)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2628), _u2629))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2630), hAPP(c_Int_Oring__1__class_Oof__int(_u2630), _u2631)), c_Groups_Ozero__class_Ozero(_u2630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2631), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2631), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2630), hAPP(c_Int_Oring__1__class_Oof__int(_u2630), _u2631)), c_Groups_Ozero__class_Ozero(_u2630))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2632), c_Groups_Ozero__class_Ozero(_u2632)), hAPP(c_Int_Oring__1__class_Oof__int(_u2632), _u2633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2633)) )).
% 12.32/12.47 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2632), c_Groups_Ozero__class_Ozero(_u2632)), hAPP(c_Int_Oring__1__class_Oof__int(_u2632), _u2633))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2634) | ( c_Groups_Osgn__class_Osgn(_u2634, _u2635) != c_Groups_Ozero__class_Ozero(_u2634)) | ( _u2635 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 12.32/12.47 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2634) | ( _u2635 != c_Groups_Ozero__class_Ozero(_u2634)) | ( c_Groups_Osgn__class_Osgn(_u2634, _u2635) = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2636) | ( c_Groups_Osgn__class_Osgn(_u2636, c_Groups_Ozero__class_Ozero(_u2636)) = c_Groups_Ozero__class_Ozero(_u2636)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2637) | ( c_Groups_Osgn__class_Osgn(_u2637, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2637), _u2638), _u2639)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2637), c_Groups_Osgn__class_Osgn(_u2637, _u2638)), c_Groups_Osgn__class_Osgn(_u2637, _u2639))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2640), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2640), _u2641)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2640))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2641)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2642), _u2643), _u2643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), _u2643)) )).
% 12.32/12.47 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), _u2643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2642), _u2643), _u2643))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2644), _u2645), _u2645)), c_Groups_Ozero__class_Ozero(_u2644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), _u2645), c_Groups_Ozero__class_Ozero(_u2644))) )).
% 12.32/12.47 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), _u2645), c_Groups_Ozero__class_Ozero(_u2644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2644), _u2645), _u2645)), c_Groups_Ozero__class_Ozero(_u2644))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), _u2647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2646), _u2647), _u2648))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2650 = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.47 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2651 = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.47 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( _u2650 != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2651 != c_Groups_Ozero__class_Ozero(_u2649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), c_Groups_Ozero__class_Ozero(_u2652)), _u2653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), _u2654), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), _u2654), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2652), _u2653), _u2655))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), c_Groups_Ozero__class_Ozero(_u2656)), _u2657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), _u2658), _u2659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), _u2658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2656), _u2659), _u2657))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2661), c_Groups_Ozero__class_Ozero(_u2660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2662), c_Groups_Ozero__class_Ozero(_u2660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2660), _u2661), _u2662)), c_Groups_Ozero__class_Ozero(_u2660))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2663), _u2664), _u2665)), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), c_Groups_Ozero__class_Ozero(_u2663)), _u2664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2665), c_Groups_Ozero__class_Ozero(_u2663))) )).
% 12.32/12.47 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2663), _u2664), _u2665)), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), c_Groups_Ozero__class_Ozero(_u2663)), _u2665)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u2666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2666), _u2667), _u2668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), _u2667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), _u2668)) )).
% 12.32/12.47 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u2666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2666), _u2667), _u2668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), _u2667), c_Groups_Ozero__class_Ozero(_u2666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), _u2668), c_Groups_Ozero__class_Ozero(_u2666))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), _u2670), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), _u2672), _u2673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), c_Groups_Ozero__class_Ozero(_u2669)), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), c_Groups_Ozero__class_Ozero(_u2669)), _u2672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2669), _u2670), _u2672)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2669), _u2671), _u2673))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), _u2675), _u2676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), _u2677), _u2678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), c_Groups_Ozero__class_Ozero(_u2674)), _u2675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), c_Groups_Ozero__class_Ozero(_u2674)), _u2677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2674), _u2675), _u2677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2674), _u2676), _u2678))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), _u2680), _u2681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), _u2682), c_Groups_Ozero__class_Ozero(_u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2679), _u2682), _u2681)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2679), _u2682), _u2680))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), _u2684), _u2685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), _u2686), c_Groups_Ozero__class_Ozero(_u2683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2683), _u2685), _u2686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2683), _u2684), _u2686))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u2687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), _u2688), _u2689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), c_Groups_Ozero__class_Ozero(_u2687)), _u2690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2687), _u2690), _u2688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2687), _u2690), _u2689))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), _u2692), _u2693)) | ~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__eq(_u2691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2694), _u2692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2694), _u2693))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), _u2696), _u2697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), c_Groups_Ozero__class_Ozero(_u2695)), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2695), _u2696), _u2698)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2695), _u2697), _u2698))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), _u2700), c_Groups_Ozero__class_Ozero(_u2699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), _u2701), c_Groups_Ozero__class_Ozero(_u2699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), c_Groups_Ozero__class_Ozero(_u2699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2699), _u2700), _u2701))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), _u2703), c_Groups_Ozero__class_Ozero(_u2702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), c_Groups_Ozero__class_Ozero(_u2702)), _u2704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2702), _u2703), _u2704)), c_Groups_Ozero__class_Ozero(_u2702))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), c_Groups_Ozero__class_Ozero(_u2705)), _u2706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), _u2707), c_Groups_Ozero__class_Ozero(_u2705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2705), _u2707), _u2706)), c_Groups_Ozero__class_Ozero(_u2705))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), c_Groups_Ozero__class_Ozero(_u2708)), _u2709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), _u2710), c_Groups_Ozero__class_Ozero(_u2708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), _u2710)), c_Groups_Ozero__class_Ozero(_u2708))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), _u2712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), _u2713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2711), _u2712), _u2713))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | 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__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.47 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | 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__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.47 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.47 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.47 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | ~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__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.47 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.47 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.47 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.47 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.47 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) )).
% 12.32/12.47 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u2720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2720), c_Groups_Ozero__class_Ozero(_u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2720), _u2721), _u2721))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), _u2723), _u2724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), _u2725), _u2726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2722), _u2723), _u2725)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2722), _u2724), _u2726))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2728), _u2729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2727), _u2730), _u2731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2728), _u2730)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2729), _u2731))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2732), c_Groups_Ozero__class_Ozero(_u2732)), c_Groups_Oone__class_Oone(_u2732))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Oone__class_Oone(_u2733)), c_Groups_Ozero__class_Ozero(_u2733))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), c_Groups_Ozero__class_Ozero(_u2734)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2734), _u2735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), _u2735), c_Groups_Ozero__class_Ozero(_u2734))) )).
% 12.32/12.47 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), _u2735), c_Groups_Ozero__class_Ozero(_u2734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), c_Groups_Ozero__class_Ozero(_u2734)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2734), _u2735))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), hAPP(c_Groups_Ouminus__class_Ouminus(_u2736), _u2737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), c_Groups_Ozero__class_Ozero(_u2736))) )).
% 12.32/12.47 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), c_Groups_Ozero__class_Ozero(_u2736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), hAPP(c_Groups_Ouminus__class_Ouminus(_u2736), _u2737))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), hAPP(c_Groups_Ouminus__class_Ouminus(_u2738), _u2739)), c_Groups_Ozero__class_Ozero(_u2738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), c_Groups_Ozero__class_Ozero(_u2738)), _u2739)) )).
% 12.32/12.47 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), c_Groups_Ozero__class_Ozero(_u2738)), _u2739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), hAPP(c_Groups_Ouminus__class_Ouminus(_u2738), _u2739)), c_Groups_Ozero__class_Ozero(_u2738))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), hAPP(c_Groups_Ouminus__class_Ouminus(_u2740), _u2741)), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), c_Groups_Ozero__class_Ozero(_u2740)), _u2741)) )).
% 12.32/12.47 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), c_Groups_Ozero__class_Ozero(_u2740)), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), hAPP(c_Groups_Ouminus__class_Ouminus(_u2740), _u2741)), _u2741)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2744), _u2746) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2744 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.47 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2744), _u2746) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2746 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.47 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u2745 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2747 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2745), _u2747) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2748) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2748), c_Groups_Ozero__class_Ozero(_u2748)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2748), _u2749))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), c_Groups_Ozero__class_Ozero(_u2750)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2750), _u2751))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2754), _u2756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2754)) )).
% 12.32/12.47 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), _u2754), _u2756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2756)) )).
% 12.32/12.47 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)), _u2755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2757)) | 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), _u2755), _u2757))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2761), _u2763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2761)) )).
% 12.32/12.47 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), _u2761), _u2763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2763), _u2765)) )).
% 12.32/12.47 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)), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2764), _u2766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2766))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2770), _u2772)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2774), _u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2772)) )).
% 12.32/12.47 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), _u2770), _u2772)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2774), _u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2770), _u2774)) )).
% 12.32/12.47 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)), _u2773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2771), _u2775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2775), _u2773))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2779), _u2780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2779)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2780))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2787), _u2789)) | ~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, _u2785)), _u2787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2785)), _u2789))) )).
% 12.32/12.47 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2788), _u2790)) | 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, _u2786)), _u2788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2786)), _u2790))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), hAPP(c_Nat_OSuc, _u2792)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), _u2792))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2793)), _u2794) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2793), _u2794))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2797), _u2799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2797)), _u2799)) )).
% 12.32/12.47 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2798)), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2798), _u2800)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2803), hAPP(c_Nat_OSuc, _u2805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2803), _u2805)) )).
% 12.32/12.47 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2804), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2804), hAPP(c_Nat_OSuc, _u2806))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2809)), _u2811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2809), _u2811)) )).
% 12.32/12.47 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2810), _u2812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2810)), _u2812)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2813), _u2814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2813), hAPP(c_Nat_OSuc, _u2814))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2815), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2815)), _u2816)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2817), _u2818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2818), hAPP(c_Nat_OSuc, _u2817))) | ( _u2818 = _u2817) )).
% 12.32/12.47 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2817), _u2818)) | ( _u2818 != _u2817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2818), hAPP(c_Nat_OSuc, _u2817))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2819)), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2819), _u2820)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2821) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2821)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2822) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2822), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2824)) | 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), _u2823), _u2824))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2825))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2826))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2827)) | ~hBOOL(hAPP(_u2832, _u2827)) | hBOOL(hAPP(_u2832, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem44(_u2832)))) )).
% 12.32/12.47 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u2833, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem45(_u2833))) )).
% 12.32/12.47 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u2833, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2829))) | hBOOL(hAPP(_u2833, skolem45(_u2833))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u2839, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2839))) )).
% 12.32/12.47 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u2839, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2835))) | ~hBOOL(hAPP(_u2839, skolem46(_u2839))) )).
% 12.32/12.47 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u2840, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem47(_u2840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2837)) | hBOOL(hAPP(_u2840, _u2837)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u2846, _u2841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem48(_u2846))) )).
% 12.32/12.47 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u2846, _u2841)) | hBOOL(hAPP(_u2846, hAPP(c_Int_Onat, skolem48(_u2846)))) )).
% 12.32/12.47 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)), _u2843)) | ~hBOOL(hAPP(_u2847, hAPP(c_Int_Onat, _u2843))) | hBOOL(hAPP(_u2847, skolem49(_u2847))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u2853, skolem50(_u2853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2849)) | hBOOL(hAPP(_u2853, hAPP(c_Int_Onat, _u2849))) )).
% 12.32/12.47 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u2854, _u2851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem51(_u2854))) )).
% 12.32/12.47 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u2854, _u2851)) | ~hBOOL(hAPP(_u2854, hAPP(c_Int_Onat, skolem51(_u2854)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ( hAPP(c_Int_Onat, _u2855) != hAPP(c_Int_Onat, _u2856)) | ( _u2855 = _u2856) )).
% 12.32/12.47 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)), _u2855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ( _u2855 != _u2856) | ( hAPP(c_Int_Onat, _u2855) = hAPP(c_Int_Onat, _u2856)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ( hAPP(c_Int_Onat, _u2857) != hAPP(c_Int_Onat, _u2858)) | ( _u2857 = _u2858) )).
% 12.32/12.47 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)), _u2857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ( _u2857 != _u2858) | ( hAPP(c_Int_Onat, _u2857) = hAPP(c_Int_Onat, _u2858)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2859), _u2860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2861), _u2862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2859), _u2861)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2860), _u2862))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2864)) | 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), _u2863), _u2864))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2865)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2866)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2865), _u2866))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2867), _u2868)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2867)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2868))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2869)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2870)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2869), _u2870))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2875), _u2877)) | ( _u2877 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2875), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem52(_u2877, _u2875)))) )).
% 12.32/12.47 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u2878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2876), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2876), _u2878)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_int__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_transfer__int__nat__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_transfer__nat__int__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), _u2880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2879), _u2880), _u2881))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), _u2883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), _u2884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2882), _u2883), _u2884))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), c_Groups_Ozero__class_Ozero(_u2885)), _u2886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2885), _u2887), _u2888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), _u2887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2885), _u2886), _u2888))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2889), c_Groups_Ozero__class_Ozero(_u2889)), _u2890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2889), _u2891), _u2892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2889), _u2891), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2889), _u2890), _u2892))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2893), _u2894), c_Groups_Ozero__class_Ozero(_u2893))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2893), _u2895), c_Groups_Ozero__class_Ozero(_u2893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2893), _u2894), _u2895)), c_Groups_Ozero__class_Ozero(_u2893))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2896), _u2897), c_Groups_Ozero__class_Ozero(_u2896))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2896), _u2898), c_Groups_Ozero__class_Ozero(_u2896))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2896), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2896), _u2897), _u2898)), c_Groups_Ozero__class_Ozero(_u2896))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2899), _u2900), _u2901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2899), _u2900), _u2902))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2899), c_Groups_Ozero__class_Ozero(_u2899)), _u2900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2899), _u2901), _u2902)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2903), _u2904), _u2905)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2903), _u2906), _u2905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2903), c_Groups_Ozero__class_Ozero(_u2903)), _u2905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), _u2904), _u2906)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2907), _u2908), _u2909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2907), _u2908), _u2910))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2907), c_Groups_Ozero__class_Ozero(_u2907)), _u2908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2907), _u2909), _u2910)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2912), _u2913)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2912), _u2914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2911), c_Groups_Ozero__class_Ozero(_u2911)), _u2912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2911), _u2913), _u2914)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2915), _u2916), _u2917)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2915), _u2918), _u2917))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2915), c_Groups_Ozero__class_Ozero(_u2915)), _u2917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2915), _u2916), _u2918)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2919), _u2920), _u2921)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2919), _u2922), _u2921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2919), c_Groups_Ozero__class_Ozero(_u2919)), _u2921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2919), _u2920), _u2922)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2923), _u2924), _u2925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), _u2926), _u2927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), c_Groups_Ozero__class_Ozero(_u2923)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2923), c_Groups_Ozero__class_Ozero(_u2923)), _u2926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), _u2924), _u2926)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), _u2925), _u2927))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), _u2929), _u2930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2928), _u2931), _u2932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2928), c_Groups_Ozero__class_Ozero(_u2928)), _u2929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), c_Groups_Ozero__class_Ozero(_u2928)), _u2931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2929), _u2931)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2930), _u2932))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), _u2934), _u2935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), _u2936), _u2937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2933), c_Groups_Ozero__class_Ozero(_u2933)), _u2934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2933), c_Groups_Ozero__class_Ozero(_u2933)), _u2936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2933), _u2934), _u2936)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2933), _u2935), _u2937))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2939), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2941), _u2942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), c_Groups_Ozero__class_Ozero(_u2938)), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), c_Groups_Ozero__class_Ozero(_u2938)), _u2941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2938), _u2939), _u2941)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2938), _u2940), _u2942))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2943), _u2944), c_Groups_Ozero__class_Ozero(_u2943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2946), _u2945)) )).
% 12.32/12.47 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2943), _u2944), c_Groups_Ozero__class_Ozero(_u2943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2946), _u2945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2946))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), c_Groups_Ozero__class_Ozero(_u2947)), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2950))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), _u2949), _u2950)) )).
% 12.32/12.47 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), c_Groups_Ozero__class_Ozero(_u2947)), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), _u2949), _u2950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2950))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) | ( _u2952 = c_Groups_Ozero__class_Ozero(_u2951)) )).
% 12.32/12.47 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) | ( _u2953 = c_Groups_Ozero__class_Ozero(_u2951)) )).
% 12.32/12.47 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ( _u2952 != c_Groups_Ozero__class_Ozero(_u2951)) | ( _u2953 != c_Groups_Ozero__class_Ozero(_u2951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2954) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2954), c_Groups_Ozero__class_Ozero(_u2954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2954), _u2955), _u2955)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2954), _u2956), _u2956)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), c_Groups_Ozero__class_Ozero(_u2957)), _u2958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), c_Groups_Ozero__class_Ozero(_u2957)), _u2959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), _u2959), c_Groups_Oone__class_Oone(_u2957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2957), _u2959), _u2958)), _u2958)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), _u2962), c_Groups_Oone__class_Oone(_u2960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), _u2961), _u2962)), _u2961)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Osgn__class_Osgn(_u2963, _u2964)), c_Groups_Ozero__class_Ozero(_u2963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), _u2964), c_Groups_Ozero__class_Ozero(_u2963))) )).
% 12.32/12.47 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), _u2964), c_Groups_Ozero__class_Ozero(_u2963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Osgn__class_Osgn(_u2963, _u2964)), c_Groups_Ozero__class_Ozero(_u2963))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u2965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), c_Groups_Osgn__class_Osgn(_u2965, _u2966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), _u2966)) )).
% 12.32/12.47 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u2965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), _u2966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), c_Groups_Osgn__class_Osgn(_u2965, _u2966))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.32/12.47 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))), _u2967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2968)) | 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), _u2968), _u2967))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.32/12.47 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))), _u2969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2969), _u2970))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.32/12.47 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))), _u2971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2971), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2972), _u2971))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2974 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_int__le__0__conv-2, axiom, ( ( _u2975 != 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), _u2975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2976), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2976) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u2978) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2978), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2979), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2979) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2981)) )).
% 12.32/12.47 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)), _u2982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2982)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2984)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2984)) = _u2984) )).
% 12.32/12.47 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)), _u2985)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2985)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2988) != _u2990) | ( _u2988 = hAPP(c_Int_Onat, _u2990)) )).
% 12.32/12.47 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2988) != _u2990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2990)) )).
% 12.32/12.47 cnf(fact_int__eq__iff-3, axiom, ( ( _u2989 != hAPP(c_Int_Onat, _u2991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2991)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2989) = _u2991) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u2992)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2992)) = _u2992) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2993), _u2994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2993), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2994)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.32/12.47 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), _u2997), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2997), _u2999)) )).
% 12.32/12.47 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2998), _u3000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2998), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3000)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3005), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3003), _u3005)) )).
% 12.32/12.47 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3004), _u3006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3006), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3009)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3011)))) | ( _u3009 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 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), _u3009)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3011)))) | ( _u3011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_int__zle__neg-3, axiom, ( ( _u3010 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3012 != 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), _u3010)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3012)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3013))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3015), _u3016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3017), _u3016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3019)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3014), _u3018), _u3019) != c_Groups_Oone__class_Oone(_u3014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3018), _u3015)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3019), _u3017))), _u3016)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3020)), hAPP(c_Int_Onat, _u3021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3020), _u3021)) )).
% 12.32/12.47 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)), _u3020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3020), _u3021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3020)), hAPP(c_Int_Onat, _u3021))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3022)), hAPP(c_Int_Onat, _u3023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3022), _u3023)) )).
% 12.32/12.47 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)), _u3022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3022), _u3023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3022)), hAPP(c_Int_Onat, _u3023))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u3026 != hAPP(c_Int_Onat, _u3028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3028)) | ( _u3028 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3026)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u3026 != hAPP(c_Int_Onat, _u3028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3028)) | ( _u3026 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3029)) | ( _u3027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | ( _u3029 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3029)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | ( _u3029 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3027)) | ( _u3027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u3032) != _u3034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | ( _u3032 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3034)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u3032) != _u3034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | ( _u3034 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3033)) | ( _u3035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | ( _u3033 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3033)) )).
% 12.32/12.47 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | ( _u3033 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3035)) | ( _u3035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3037)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3036), _u3037)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3036)), hAPP(c_Int_Onat, _u3037))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3039)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3038)), hAPP(c_Int_Onat, _u3039)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3038), _u3039))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3040)) | 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)), _u3040))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 12.32/12.47 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, _u3041))))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u3042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3043)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3042), hAPP(c_Int_Onat, _u3043)) = hAPP(c_Int_Oring__1__class_Oof__int(_u3042), _u3043)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Ozero__class_Ozero(_u3044)), _u3045)) | ( c_Groups_Osgn__class_Osgn(_u3044, _u3045) = c_Groups_Oone__class_Oone(_u3044)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3046)) | ( _u3046 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3047), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3046), _u3048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3048), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3049)) | ( _u3049 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3050), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3049), _u3051))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3050), _u3049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3051)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3052), _u3053)), _u3054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3054), _u3052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3053)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3055), _u3056)), _u3057)), 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)), _u3057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3056), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3058), _u3059)), _u3060)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3058), _u3061)), _u3062))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3060), _u3058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3062), _u3058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3059), _u3061)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3063), _u3064)), _u3065) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3066), _u3067)), _u3068)) | ~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), _u3066), _u3067)), _u3068))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3068), _u3066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3065)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3066), _u3063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3064), _u3067)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3069), _u3070)), _u3071)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3069), _u3072)), _u3073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3073), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3069), _u3073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3069), _u3071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3072), _u3070)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3074), _u3075)), _u3076) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3077), _u3078)), _u3079)) | ~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), _u3077), _u3078)), _u3079)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3076), _u3074)) | ~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), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3077), _u3074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3078), _u3075)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3081), _u3082)) )).
% 12.32/12.47 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)), _u3080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3081), _u3082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3082))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3083), _u3083)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3084), _u3085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3085), _u3084)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_eq__imp__le-1, axiom, ( ( _u3086 != _u3087) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3086), _u3087)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3088), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3089), _u3090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3088), _u3090)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3091), _u3092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3092), _u3091)) | ( _u3091 = _u3092) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3095), _u3096)) )).
% 12.32/12.47 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3096), _u3095)) )).
% 12.32/12.47 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3096), _u3095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3100), _u3102) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3100), _u3104)) | ( _u3100 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3102 = _u3104) )).
% 12.32/12.47 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3103) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3105)) | ( _u3101 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.47 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3103) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3105)) | ( _u3103 != _u3105) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.47 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), _u3106), _u3107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3108), _u3107)), _u3109)) = 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), _u3106), _u3108)), _u3107)), _u3109)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3110)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3111) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3112)) | ( _u3111 = _u3112) )).
% 12.32/12.47 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)), _u3110)) | ( _u3111 != _u3112) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3111) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3112)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.32/12.47 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)), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3114)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3114), _u3115)) )).
% 12.32/12.47 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)), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3114), _u3115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3114)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3115))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_transfer__morphism__nat__int-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3117)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), _u3118), _u3117)) )).
% 12.32/12.47 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), _u3118), _u3117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3117)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3118))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3119), _u3120), _u3121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3119), hAPP(c_Groups_Ouminus__class_Ouminus(_u3119), _u3121)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3119), _u3120))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem53(_u3125, _u3124)), _u3125)) )).
% 12.32/12.47 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3122), skolem53(_u3125, _u3124))) | ~hBOOL(hAPP(_u3124, _u3122)) )).
% 12.32/12.47 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | hBOOL(hAPP(_u3124, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem53(_u3125, _u3124)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3127), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3129), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) )).
% 12.32/12.47 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3129), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3127), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmult2__lemma__aux2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3131), _u3132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3132), 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), _u3131), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3133, _u3130))), _u3132)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmult2__lemma__aux1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3135), _u3136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3136), 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), _u3135), _u3134)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3135), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3137, _u3134))), _u3136))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmult2__lemma__aux4-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3139), _u3140)) | 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), _u3140), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3141, _u3138))), _u3139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3138))) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3142) | ( c_Divides_Odiv__class_Omod(_u3142, c_Divides_Odiv__class_Omod(_u3142, _u3143, _u3144), _u3144) = c_Divides_Odiv__class_Omod(_u3142, _u3143, _u3144)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3145) | ( c_Divides_Odiv__class_Omod(_u3145, c_Groups_Ozero__class_Ozero(_u3145), _u3146) = c_Groups_Ozero__class_Ozero(_u3145)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3147) | ( c_Divides_Odiv__class_Omod(_u3147, _u3148, c_Groups_Ozero__class_Ozero(_u3147)) = _u3148) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3149) | ( c_Divides_Odiv__class_Omod(_u3149, _u3150, _u3150) = c_Groups_Ozero__class_Ozero(_u3149)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3151) | ( c_Divides_Odiv__class_Omod(_u3151, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3151), _u3152), _u3153), _u3153) = c_Divides_Odiv__class_Omod(_u3151, _u3152, _u3153)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3154) | ( c_Divides_Odiv__class_Omod(_u3154, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3154), _u3155), _u3156), _u3155) = c_Divides_Odiv__class_Omod(_u3154, _u3156, _u3155)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3157) | ( c_Divides_Odiv__class_Omod(_u3157, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3157), _u3158), _u3159), _u3160) = c_Divides_Odiv__class_Omod(_u3157, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3157), _u3158), c_Divides_Odiv__class_Omod(_u3157, _u3159, _u3160)), _u3160)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3161) | ( c_Divides_Odiv__class_Omod(_u3161, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3161), _u3162), _u3163), _u3164) = c_Divides_Odiv__class_Omod(_u3161, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3161), c_Divides_Odiv__class_Omod(_u3161, _u3162, _u3164)), _u3163), _u3164)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3165) | ( c_Divides_Odiv__class_Omod(_u3165, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3165), _u3166), _u3167), _u3168) = c_Divides_Odiv__class_Omod(_u3165, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3165), c_Divides_Odiv__class_Omod(_u3165, _u3166, _u3168)), c_Divides_Odiv__class_Omod(_u3165, _u3167, _u3168)), _u3168)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3169) | ( c_Divides_Odiv__class_Omod(_u3169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3169), _u3170), c_Divides_Odiv__class_Omod(_u3169, _u3171, _u3172)), _u3172) = c_Divides_Odiv__class_Omod(_u3169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3169), _u3170), _u3171), _u3172)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.47 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3173) | ( c_Divides_Odiv__class_Omod(_u3173, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3173), c_Divides_Odiv__class_Omod(_u3173, _u3174, _u3175)), _u3176), _u3175) = c_Divides_Odiv__class_Omod(_u3173, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3173), _u3174), _u3176), _u3175)) )).
% 12.32/12.47
% 12.32/12.47 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u3177) | ( c_Divides_Odiv__class_Omod(_u3177, _u3178, _u3179) != c_Divides_Odiv__class_Omod(_u3177, _u3180, _u3179)) | ( c_Divides_Odiv__class_Omod(_u3177, _u3181, _u3179) != c_Divides_Odiv__class_Omod(_u3177, _u3182, _u3179)) | ( c_Divides_Odiv__class_Omod(_u3177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), _u3178), _u3181), _u3179) = c_Divides_Odiv__class_Omod(_u3177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), _u3180), _u3182), _u3179)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3183) | ( c_Divides_Odiv__class_Omod(_u3183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3183), _u3184), _u3185), _u3186) = c_Divides_Odiv__class_Omod(_u3183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3183), _u3184), c_Divides_Odiv__class_Omod(_u3183, _u3185, _u3186)), _u3186)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3187) | ( c_Divides_Odiv__class_Omod(_u3187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3187), _u3188), _u3189), _u3190) = c_Divides_Odiv__class_Omod(_u3187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3187), c_Divides_Odiv__class_Omod(_u3187, _u3188, _u3190)), _u3189), _u3190)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3191) | ( c_Divides_Odiv__class_Omod(_u3191, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3191), _u3192), _u3193), _u3194) = c_Divides_Odiv__class_Omod(_u3191, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3191), c_Divides_Odiv__class_Omod(_u3191, _u3192, _u3194)), c_Divides_Odiv__class_Omod(_u3191, _u3193, _u3194)), _u3194)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3195) | ( c_Divides_Odiv__class_Omod(_u3195, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), _u3197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), _u3198)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), c_Divides_Odiv__class_Omod(_u3195, _u3197, _u3198))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3199) | ( c_Divides_Odiv__class_Omod(_u3199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), _u3200), _u3201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), _u3202), _u3201)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), c_Divides_Odiv__class_Omod(_u3199, _u3200, _u3202)), _u3201)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3203) | ( c_Divides_Odiv__class_Omod(_u3203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3203), c_Divides_Odiv__class_Omod(_u3203, _u3204, _u3205)), _u3206), _u3205) = c_Divides_Odiv__class_Omod(_u3203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3203), _u3204), _u3206), _u3205)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u3207) | ( c_Divides_Odiv__class_Omod(_u3207, _u3208, _u3209) != c_Divides_Odiv__class_Omod(_u3207, _u3210, _u3209)) | ( c_Divides_Odiv__class_Omod(_u3207, _u3211, _u3209) != c_Divides_Odiv__class_Omod(_u3207, _u3212, _u3209)) | ( c_Divides_Odiv__class_Omod(_u3207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3207), _u3208), _u3211), _u3209) = c_Divides_Odiv__class_Omod(_u3207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3207), _u3210), _u3212), _u3209)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u3213) | ( c_Divides_Odiv__class_Omod(_u3213, hAPP(c_Groups_Ouminus__class_Ouminus(_u3213), _u3214), _u3215) = c_Divides_Odiv__class_Omod(_u3213, hAPP(c_Groups_Ouminus__class_Ouminus(_u3213), c_Divides_Odiv__class_Omod(_u3213, _u3214, _u3215)), _u3215)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u3216) | ( c_Divides_Odiv__class_Omod(_u3216, _u3217, _u3218) != c_Divides_Odiv__class_Omod(_u3216, _u3219, _u3218)) | ( c_Divides_Odiv__class_Omod(_u3216, hAPP(c_Groups_Ouminus__class_Ouminus(_u3216), _u3217), _u3218) = c_Divides_Odiv__class_Omod(_u3216, hAPP(c_Groups_Ouminus__class_Ouminus(_u3216), _u3219), _u3218)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3220) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3221, _u3221) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3222), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3223, _u3224)), _u3224) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3222), _u3223), _u3224)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3225), _u3226), _u3227) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3225), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3226, _u3227)), _u3227)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3228, _u3229)), _u3229) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3228), _u3229)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3230), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3231)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3230, _u3231))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3232, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3233)) = 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), _u3232), _u3233))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3234) | ( c_Divides_Odiv__class_Omod(_u3234, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3234), _u3235), _u3236), _u3236) = c_Groups_Ozero__class_Ozero(_u3234)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3237) | ( c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3237), _u3238), _u3239), _u3238) = c_Groups_Ozero__class_Ozero(_u3237)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3240) | ( c_Divides_Odiv__class_Omod(_u3240, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3240), _u3241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3242), _u3243)), _u3242) = c_Divides_Odiv__class_Omod(_u3240, _u3241, _u3242)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3244) | ( c_Divides_Odiv__class_Omod(_u3244, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3244), _u3245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3244), _u3246), _u3247)), _u3247) = c_Divides_Odiv__class_Omod(_u3244, _u3245, _u3247)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3248) | ( c_Divides_Odiv__class_Omod(_u3248, _u3249, c_Groups_Oone__class_Oone(_u3248)) = c_Groups_Ozero__class_Ozero(_u3248)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3250, _u3251)), _u3250)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3253)) | 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, _u3252, _u3253))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3254), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3254), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3255, _u3254))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3257, _u3256)), _u3256)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3262, _u3264) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3262 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3264), skolem54(_u3264, _u3262))) )).
% 12.32/12.48 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u3263 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3265), _u3259)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3263, _u3265) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3266, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3267)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3266, _u3267) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3268), _u3269) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3268, _u3269) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3271), _u3270)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3270, _u3271) = _u3270) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), 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, _u3273, _u3272)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3273, _u3272))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3274), 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, _u3275, _u3274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3276), _u3277)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3276, _u3277) = _u3276) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3278)) | 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, _u3279, _u3278))) )).
% 12.32/12.48 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)), _u3278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3279, _u3278)), _u3278)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3280)) | 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, _u3281, _u3280))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), _u3284)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), _u3284)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3285) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), _u3286), _u3286) = _u3286) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3287), _u3288), _u3288) = _u3288) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3289) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3290) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3291)) | ( _u3290 = _u3291) )).
% 12.32/12.48 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3289) | ( _u3290 != _u3291) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3290) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3291)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u3292) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3293, _u3292)), _u3294), _u3295) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3292), hAPP(_u3294, _u3295))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3296) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3296), hAPP(c_Groups_Ouminus__class_Ouminus(_u3296), _u3297)) = _u3297) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3298), _u3299)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3298, _u3299) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3298), _u3299)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ( _u3315 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3311, _u3313)) )).
% 12.32/12.48 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3300), _u3315)) | ( _u3313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3315), _u3301)), _u3300)) | hBOOL(hAPP(_u3311, _u3300)) )).
% 12.32/12.48 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3315), _u3302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3315), _u3303)), _u3302)) | hBOOL(hAPP(_u3311, _u3302)) )).
% 12.32/12.48 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.48 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3318), _u3319)) | 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), _u3319), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3320, _u3317))), _u3318))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3323)) | ( c_SMT_Oz3mod(_u3325, _u3323) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3325, _u3323)) )).
% 12.32/12.48 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)), _u3324)) | ( c_SMT_Oz3mod(_u3326, _u3324) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3326, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3324))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3331)) | ~hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3327), _u3331)) | ( _u3333 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3331), _u3328)), _u3327)) | hBOOL(hAPP(hAPP(_u3332, _u3328), _u3327)) )).
% 12.32/12.48 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)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.48 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)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem60(_u3333, _u3332, _u3331)), _u3331)) )).
% 12.32/12.48 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)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ( _u3333 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3331), skolem59(_u3333, _u3332, _u3331))), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.48 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)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ~hBOOL(hAPP(hAPP(_u3332, skolem59(_u3333, _u3332, _u3331)), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), _u3334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3334), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3340 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3338), _u3335)), _u3334)) | hBOOL(hAPP(hAPP(_u3339, _u3335), _u3334)) )).
% 12.32/12.48 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.48 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem62(_u3340, _u3339, _u3338)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ( _u3340 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3338), skolem61(_u3340, _u3339, _u3338))), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.48 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ~hBOOL(hAPP(hAPP(_u3339, skolem61(_u3340, _u3339, _u3338)), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3341)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), _u3341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3342), _u3343), _u3341))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, _u3343))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3344, _u3345))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ( _u3361 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3357, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3346), _u3361)) | ( _u3359 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3361), _u3347)), _u3346)) | hBOOL(hAPP(_u3357, _u3347)) )).
% 12.32/12.48 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3361), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3361), _u3348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3348), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3359 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3361), _u3349)), _u3348)) | hBOOL(hAPP(_u3357, _u3349)) )).
% 12.32/12.48 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.48 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.48 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3364), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3366), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3366), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3364)) )).
% 12.32/12.48 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3366), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3364), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3366), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = 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), _u3376), skolem67(_u3376, _u3374, _u3372))), _u3374)) )).
% 12.32/12.48 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3376), hAPP(c_Nat_OSuc, skolem67(_u3376, _u3374, _u3372))))) )).
% 12.32/12.48 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3372, skolem67(_u3376, _u3374, _u3372))) )).
% 12.32/12.48 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, 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), _u3376), skolem67(_u3376, _u3374, _u3372))), _u3374)) )).
% 12.32/12.48 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3376), hAPP(c_Nat_OSuc, skolem67(_u3376, _u3374, _u3372))))) )).
% 12.32/12.48 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3372, skolem67(_u3376, _u3374, _u3372))) )).
% 12.32/12.48 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u3373, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3375), _u3377))) | ( _u3377 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3373, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u3373, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3375), _u3377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3377), _u3368)), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3375), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3377), hAPP(c_Nat_OSuc, _u3368)))) | ~hBOOL(hAPP(_u3373, _u3368)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3378), _u3379)), _u3380) = 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), _u3378), _u3380)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3379), _u3380))), 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, _u3378, _u3380)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3379, _u3380))), _u3380))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3381)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3382)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3381), _u3382))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3383), _u3384)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3383)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3384))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3385, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3386), _u3387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3386), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3385), _u3386), _u3387))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3385, _u3386))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3388), _u3389)), _u3390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3388), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3390))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3388), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3389, _u3390))), _u3390))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3391), _u3392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3393))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3394), _u3395)), _u3394)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3396) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3397), _u3398) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3397, _u3398)), _u3398)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3400), _u3401)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3399), _u3400)), _u3401)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3402), _u3403)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3402, _u3403) = _u3402) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3404, _u3405)), _u3404)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3406, _u3407)), _u3408) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3406), _u3408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), _u3408))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3410, _u3411)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3411))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3412), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3413)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3412)), _u3413)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3414)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3415)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3414), _u3415)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3416) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3416), c_Groups_Ozero__class_Ozero(_u3416)), _u3417) = c_Groups_Ozero__class_Ozero(_u3416)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3418) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3418), _u3419), c_Groups_Ozero__class_Ozero(_u3418)) = c_Groups_Ozero__class_Ozero(_u3418)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3420) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3420), _u3421), c_Groups_Oone__class_Oone(_u3420)) = _u3421) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3422)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3422), _u3423)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3422)), hAPP(c_Int_Onat, _u3423))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3425)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3424)), hAPP(c_Int_Onat, _u3425)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3424), _u3425))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3426), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3426) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3427), _u3428)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3427), _u3428) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u3432 != 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), _u3432), _u3434)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3432), _u3436)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u3433 = 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), _u3433), _u3435)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3433), _u3437)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3435), _u3437)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3440, _u3442)) != _u3442) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3440), _u3442) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3441, _u3443)) = _u3443) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3441), _u3443) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3441, _u3443))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3444, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3446)) | 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), _u3445), _u3446))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3448, _u3447)), _u3447)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3450), _u3449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3450), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 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)), _u3449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3450), 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), _u3450), _u3449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3451), 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), _u3452), _u3451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3452)) )).
% 12.32/12.48 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3451), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3452), _u3451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3453), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3453), _u3454)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__self-1, axiom, ( ( _u3455 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3455), _u3455) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3460, _u3462) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3460 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3462), skolem68(_u3462, _u3460))) )).
% 12.32/12.48 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u3461 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3463), _u3457)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3461, _u3463) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3465), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3466, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3466) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3467, _u3468)), _u3468) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3469), _u3470)), _u3471), _u3470) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3471, _u3470)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3472), _u3473)), _u3474) = 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), _u3472), _u3474)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3473), _u3474))), 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, _u3472, _u3474)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3473, _u3474))), _u3474))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3475), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3476)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3475, _u3476))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3477, _u3478)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3477), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3478))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3479) | ( _u3480 = c_Groups_Ozero__class_Ozero(_u3479)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3479), _u3480), _u3481)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3479), _u3480), _u3482)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3479), _u3481), _u3482)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3483) | ( _u3484 = c_Groups_Ozero__class_Ozero(_u3483)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3483), _u3485), _u3484)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3483), _u3486), _u3484)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), _u3485), _u3486)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3487) | ( _u3488 = c_Groups_Ozero__class_Ozero(_u3487)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3487), _u3488), _u3489)), _u3488) = _u3489) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3490) | ( _u3491 = c_Groups_Ozero__class_Ozero(_u3490)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3490), _u3492), _u3491)), _u3491) = _u3492) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u3493) | ( _u3494 != c_Groups_Ozero__class_Ozero(_u3493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3496)) = c_Groups_Ozero__class_Ozero(_u3493)) )).
% 12.32/12.48 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u3493) | ( _u3494 = c_Groups_Ozero__class_Ozero(_u3493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3496)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), _u3495), _u3496)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3497) | ( _u3498 = c_Groups_Ozero__class_Ozero(_u3497)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3497), _u3498), _u3498) = c_Groups_Oone__class_Oone(_u3497)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3499) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3499), c_Divides_Odiv__class_Omod(_u3499, _u3500, _u3501)), _u3501) = c_Groups_Ozero__class_Ozero(_u3499)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3502), _u3503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3504), _u3503)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3504), _u3502))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3505)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3506), _u3505)), _u3505) = _u3506) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3507)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3507), _u3508)), _u3507) = _u3508) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3509)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3509), _u3510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3509), _u3511)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3510), _u3511)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3513), _u3512)), _u3513)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = 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)), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = 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)), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), _u3516)) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3516), _u3518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3516), _u3518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), _u3516)) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3519 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = 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)), _u3517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), _u3519)) )).
% 12.32/12.48 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3519), _u3517)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3520)) | ~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), _u3521), _u3520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) )).
% 12.32/12.48 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)), _u3520)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) | 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), _u3521), _u3520))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3522)) | ~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), _u3523), _u3522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3522), _u3523)) )).
% 12.32/12.48 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)), _u3522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3522), _u3523)) | 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), _u3523), _u3522))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3524)) | ~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), _u3524), _u3525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3525), _u3524)) )).
% 12.32/12.48 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)), _u3524)) | ~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), _u3524), _u3525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3525)) )).
% 12.32/12.48 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)), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3525), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3525)) | 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), _u3524), _u3525))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3527), _u3528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3526), _u3528)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3526), _u3527))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3530), 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), _u3529), _u3530)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3531), _u3532)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3531), _u3532) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3533), 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), _u3534), _u3533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3534), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3533), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3534), 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), _u3534), _u3533))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3535), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3535), _u3536)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3537), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3538), _u3539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3537), _u3538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3537), _u3539))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3541), _u3540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3540), _u3541) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3542), _u3543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3542), _u3544)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3543), _u3544))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3545), _u3546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3547), 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), _u3546), _u3547)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3545), _u3547))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3549, _u3548)), _u3548)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3550), _u3551)), _u3550)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3552)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3554), _u3552)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3553), _u3554)), _u3552)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3555), _u3556)), _u3557)), _u3556) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3557), _u3556)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3558), _u3559)), _u3559)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3558, _u3559))), _u3560) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3558), _u3560)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3561), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3562), _u3561))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3562, _u3561))), _u3563) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3562), _u3563)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3564), _u3565)), _u3566) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3565), _u3566))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3564), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3565, _u3566))), _u3566))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u3567 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3568), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3567), _u3568))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3567, _u3568))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3569) | ( _u3570 = c_Groups_Ozero__class_Ozero(_u3569)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3569), _u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3569), _u3572), _u3570))), _u3570) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3569), _u3572), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3569), _u3571), _u3570))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3573) | ( _u3574 = c_Groups_Ozero__class_Ozero(_u3573)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3573), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3573), _u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3573), _u3574), _u3576))), _u3574) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3573), _u3576), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3573), _u3575), _u3574))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3577) | ( _u3578 = c_Groups_Ozero__class_Ozero(_u3577)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3577), _u3578), _u3579)), _u3578) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3577), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3577), _u3579), _u3578)), c_Groups_Oone__class_Oone(_u3577))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3580) | ( _u3581 = c_Groups_Ozero__class_Ozero(_u3580)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3580), _u3582), _u3581)), _u3581) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3580), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3580), _u3582), _u3581)), c_Groups_Oone__class_Oone(_u3580))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3583) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3583), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3583), _u3584), _u3585)), _u3585)), c_Divides_Odiv__class_Omod(_u3583, _u3584, _u3585))), _u3586) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), _u3586)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3587), _u3588), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3587), _u3589), _u3588))), c_Divides_Odiv__class_Omod(_u3587, _u3589, _u3588))), _u3590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3589), _u3590)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3591) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3591), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3591), _u3592), _u3593)), _u3593)), c_Divides_Odiv__class_Omod(_u3591, _u3592, _u3593)) = _u3592) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3594) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3594), _u3595), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3594), _u3596), _u3595))), c_Divides_Odiv__class_Omod(_u3594, _u3596, _u3595)) = _u3596) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u3597) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3597), c_Divides_Odiv__class_Omod(_u3597, _u3598, _u3599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3597), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3597), _u3598), _u3599)), _u3599)) = _u3598) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u3607, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3609), _u3611))) | ( _u3611 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3607, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u3607, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3609), _u3611))) | ( _u3611 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3600), _u3611)) | ( _u3609 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3611), _u3601)), _u3600)) | hBOOL(hAPP(_u3607, _u3601)) )).
% 12.32/12.48 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3612, _u3610, _u3608)), _u3612)) )).
% 12.32/12.48 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3610 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), skolem69(_u3612, _u3610, _u3608))), skolem70(_u3612, _u3610, _u3608))) )).
% 12.32/12.48 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3608, skolem69(_u3612, _u3610, _u3608))) )).
% 12.32/12.48 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3612 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3612, _u3610, _u3608)), _u3612)) )).
% 12.32/12.48 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3610 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), skolem69(_u3612, _u3610, _u3608))), skolem70(_u3612, _u3610, _u3608))) )).
% 12.32/12.48 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3608, skolem69(_u3612, _u3610, _u3608))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3614), _u3615)) | 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), _u3615), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3616, _u3613))), _u3614)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3615), _u3613))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u3624, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3626, _u3628))) | ( _u3628 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3624, _u3626)) )).
% 12.32/12.48 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u3624, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3626, _u3628))) | ( _u3628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3617), _u3628)) | ( _u3626 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3628), _u3618)), _u3617)) | hBOOL(hAPP(_u3624, _u3617)) )).
% 12.32/12.48 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3629, _u3627, _u3625)), _u3629)) )).
% 12.32/12.48 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3627 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3629), skolem71(_u3629, _u3627, _u3625))), skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.48 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3625, skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.48 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ( _u3629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3629, _u3627, _u3625)), _u3629)) )).
% 12.32/12.48 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ( _u3627 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3629), skolem71(_u3629, _u3627, _u3625))), skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.48 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ~hBOOL(hAPP(_u3625, skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3630)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3630), _u3631)), _u3630) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3633)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3632, _u3633)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3632), hAPP(c_Int_Onat, _u3633))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3635)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3634), hAPP(c_Int_Onat, _u3635)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3634, _u3635))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), _u3637)), _u3638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), hAPP(c_Nat_OSuc, _u3637)))) | ( _u3637 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) )).
% 12.32/12.48 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)), _u3636)) | ( _u3637 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), _u3637)), _u3638)) )).
% 12.32/12.48 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)), _u3636)) | ( _u3637 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), hAPP(c_Nat_OSuc, _u3637)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3641)) | ( c_SMT_Oz3div(_u3643, _u3641) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3643), _u3641)) )).
% 12.32/12.48 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)), _u3642)) | ( c_SMT_Oz3div(_u3644, _u3642) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3644), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3642)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u3645 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3646, _u3645) != 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), _u3646)), _u3645) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3646), _u3645))) )).
% 12.32/12.48 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u3645 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3646, _u3645) = 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), _u3646)), _u3645) = 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), _u3646), _u3645))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u3647 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3648, _u3647) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3647)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), _u3647))) )).
% 12.32/12.48 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u3647 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3648, _u3647) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3647)) = 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), _u3648), _u3647))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3649), _u3650)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3650), _u3649) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3650), _u3649)), _u3649))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u3651) | ( _u3652 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3651), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3651), _u3652), _u3653)), _u3653)), c_Divides_Odiv__class_Omod(_u3651, _u3652, _u3653))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3655)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3654)), hAPP(c_Int_Onat, _u3655)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3654, _u3655))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3660)) | ~hBOOL(hAPP(_u3659, _u3657)) | hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3660), _u3658)))) | hBOOL(hAPP(_u3659, skolem73(_u3660, _u3659, _u3658))) )).
% 12.32/12.48 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)), _u3658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3660)) | ~hBOOL(hAPP(_u3659, _u3657)) | hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3660), _u3658)))) | ~hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem73(_u3660, _u3659, _u3658)), _u3658))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3662), c_Groups_Ozero__class_Ozero(_u3662)), skolem74(_u3664, _u3663, _u3662))) )).
% 12.32/12.48 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3662), skolem74(_u3664, _u3663, _u3662)), c_Groups_Oone__class_Oone(_u3662))) )).
% 12.32/12.48 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3662), skolem74(_u3664, _u3663, _u3662)), _u3663)), _u3664)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3665), _u3666)), _u3667) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3665), _u3667)), _u3666)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3668) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3669), _u3670) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3671), _u3672)) | ( _u3669 != _u3670) | ( _u3671 = _u3672) )).
% 12.32/12.48 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u3668) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3669), _u3670) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3671), _u3672)) | ( _u3671 != _u3672) | ( _u3669 = _u3670) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u3673) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3674), _u3675)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3673), hAPP(c_Int_Oring__1__class_Oof__int(_u3673), _u3674)), hAPP(c_Int_Oring__1__class_Oof__int(_u3673), _u3675))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u3676) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3677, _u3676)), _u3678), _u3679), _u3680) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3676), hAPP(_u3678, _u3680)), hAPP(_u3679, _u3680))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u3681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3681), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), _u3683)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), _u3682))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3684), _u3685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3685)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3684)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3685), _u3684))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3687), _u3688) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3689), _u3690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3687), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3689), _u3690)) )).
% 12.32/12.48 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3687), _u3688) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3689), _u3690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3689), _u3690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3687), _u3688)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3691) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3691), _u3692), _u3693) != c_Groups_Ozero__class_Ozero(_u3691)) | ( _u3692 = _u3693) )).
% 12.32/12.48 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3691) | ( _u3692 != _u3693) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3691), _u3692), _u3693) = c_Groups_Ozero__class_Ozero(_u3691)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3694) | ( _u3695 != _u3696) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3694), _u3695), _u3696) = c_Groups_Ozero__class_Ozero(_u3694)) )).
% 12.32/12.48 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3694) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3694), _u3695), _u3696) != c_Groups_Ozero__class_Ozero(_u3694)) | ( _u3695 = _u3696) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3697) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3697), _u3698), _u3698) = c_Groups_Ozero__class_Ozero(_u3697)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3699) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3699), _u3700), c_Groups_Ozero__class_Ozero(_u3699)) = _u3700) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3701) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3702), _u3703) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3704), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3702), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3704), _u3705)) )).
% 12.32/12.48 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3701) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3702), _u3703) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3704), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3704), _u3705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3702), _u3703)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3706) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3706), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3706), _u3707), _u3708)), _u3708) = _u3707) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3709) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3709), _u3710), _u3711)), _u3711) = _u3710) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3712) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3712), _u3713), _u3714)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3712), _u3714), _u3713)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u3715) | ( c_Divides_Odiv__class_Omod(_u3715, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3715), _u3716), _u3717), _u3718) = c_Divides_Odiv__class_Omod(_u3715, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3715), _u3716), c_Divides_Odiv__class_Omod(_u3715, _u3717, _u3718)), _u3718)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u3719) | ( c_Divides_Odiv__class_Omod(_u3719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3719), _u3720), _u3721), _u3722) = c_Divides_Odiv__class_Omod(_u3719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3719), c_Divides_Odiv__class_Omod(_u3719, _u3720, _u3722)), _u3721), _u3722)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u3723) | ( c_Divides_Odiv__class_Omod(_u3723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3723), _u3724), _u3725), _u3726) = c_Divides_Odiv__class_Omod(_u3723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3723), c_Divides_Odiv__class_Omod(_u3723, _u3724, _u3726)), c_Divides_Odiv__class_Omod(_u3723, _u3725, _u3726)), _u3726)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u3727) | ( c_Divides_Odiv__class_Omod(_u3727, _u3728, _u3729) != c_Divides_Odiv__class_Omod(_u3727, _u3730, _u3729)) | ( c_Divides_Odiv__class_Omod(_u3727, _u3731, _u3729) != c_Divides_Odiv__class_Omod(_u3727, _u3732, _u3729)) | ( c_Divides_Odiv__class_Omod(_u3727, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3727), _u3728), _u3731), _u3729) = c_Divides_Odiv__class_Omod(_u3727, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3727), _u3730), _u3732), _u3729)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3733) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3734), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3734) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3735), _u3735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3736), _u3737) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3737), _u3736) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3736 = _u3737) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3738)), _u3739)), hAPP(c_Nat_OSuc, _u3740)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), _u3739)), _u3740)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3741)), hAPP(c_Nat_OSuc, _u3742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3741), _u3742)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3743), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3743), _u3745)), _u3744)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3746), _u3747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3746), _u3748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3748), _u3747)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3748), _u3746))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3751), _u3753)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3751, _u3753) = _u3751) )).
% 12.32/12.48 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3752), _u3754)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3752, _u3754) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3752), _u3754), _u3754)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3755), _u3756)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3755, _u3756) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3755), _u3756), _u3756)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3757), _u3758)), _u3758) = _u3757) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3759), _u3760)), _u3759) = _u3760) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3761), _u3762)), _u3763) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3762), _u3763))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3764), _u3765)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3764), _u3766)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3766)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3767), _u3768)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3768)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3771), _u3770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3772), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3771), _u3772)) )).
% 12.32/12.48 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3771), _u3772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3771), _u3770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3772), _u3770))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3773), _u3774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3773), _u3775)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3774), _u3773)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3773)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3774), _u3775)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3777), _u3776) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3776)) | ( _u3777 = _u3778) )).
% 12.32/12.48 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3778)) | ( _u3777 != _u3778) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3777), _u3776) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3776)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3780), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3780), _u3779)) = _u3779) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3781), _u3782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3781), _u3783)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3782), _u3783))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3784), _u3785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3785)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3784))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3787), _u3788)), _u3787)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3789), _u3790)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3790, _u3789) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3790), _u3789), _u3789)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3792), _u3793)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), _u3792)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), _u3793))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3794), _u3795)), _u3796) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3794), _u3796)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3795), _u3796))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3797), _u3798)), _u3799) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3797), _u3799)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3798), _u3799))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3801), _u3802)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), _u3801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), _u3802))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3803), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3804, _u3805)), _u3805) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3803), _u3804), _u3805)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.32/12.48 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, _u3806, _u3807)), _u3808), _u3807) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3806), _u3808), _u3807)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3809), _u3810)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3810), _u3809)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3810)), hAPP(c_Int_Onat, _u3809))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u3814, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3818)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3818), _u3816)) | hBOOL(hAPP(_u3814, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3816)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3818)))) )).
% 12.32/12.48 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u3814, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3818)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3816), _u3818)) | hBOOL(hAPP(_u3814, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3817), _u3819)) )).
% 12.32/12.48 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3817)) | ~hBOOL(hAPP(_u3815, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | ~hBOOL(hAPP(_u3815, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3817), _u3819)) )).
% 12.32/12.48 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | ~hBOOL(hAPP(_u3815, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3819)))) | ~hBOOL(hAPP(_u3815, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), _u3821), _u3822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3820), _u3821), _u3822)), c_Groups_Ozero__class_Ozero(_u3820))) )).
% 12.32/12.48 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3820), _u3821), _u3822)), c_Groups_Ozero__class_Ozero(_u3820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), _u3821), _u3822)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), _u3824), _u3825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3823), _u3824), _u3825)), c_Groups_Ozero__class_Ozero(_u3823))) )).
% 12.32/12.48 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3823), _u3824), _u3825)), c_Groups_Ozero__class_Ozero(_u3823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), _u3824), _u3825)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3826) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3827), _u3828)), _u3829) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3830), _u3828)), _u3831)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3826), _u3827), _u3830)), _u3828)), _u3829) = _u3831) )).
% 12.32/12.48 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3826) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3826), _u3827), _u3830)), _u3828)), _u3829) != _u3831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3827), _u3828)), _u3829) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3830), _u3828)), _u3831)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3832) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3833), _u3834)), _u3835) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3836), _u3834)), _u3837)) | ( _u3835 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3832), _u3836), _u3833)), _u3834)), _u3837)) )).
% 12.32/12.48 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3832) | ( _u3835 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3832), _u3836), _u3833)), _u3834)), _u3837)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3833), _u3834)), _u3835) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3836), _u3834)), _u3837)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u3838) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3838), c_Groups_Ozero__class_Ozero(_u3838)), _u3839) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3838), _u3839)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u3840) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3840), _u3841), _u3842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3840), _u3841), hAPP(c_Groups_Ouminus__class_Ouminus(_u3840), _u3842))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u3843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3843), _u3844), _u3845) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), _u3844), hAPP(c_Groups_Ouminus__class_Ouminus(_u3843), _u3845))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3846) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3846), _u3847), _u3848) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3846), _u3847), hAPP(c_Groups_Ouminus__class_Ouminus(_u3846), _u3848))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3849), _u3850), hAPP(c_Groups_Ouminus__class_Ouminus(_u3849), _u3851)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3849), _u3850), _u3851)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3854), _u3856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3854), _u3856)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 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), _u3855), _u3857)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3855), _u3857)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3860), _u3862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3860)) )).
% 12.32/12.48 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), _u3861)) | 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), _u3861), _u3863))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3864)), _u3865)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3866), _u3867)), hAPP(c_Nat_OSuc, _u3866))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3868), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3868), _u3869)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3874) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), _u3874)) )).
% 12.32/12.48 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3873), _u3875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3875) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3876), _u3877)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3876), _u3877) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3881), _u3885)), _u3883)) )).
% 12.32/12.48 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), _u3882), _u3886)), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3887), _u3888)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3887), _u3888)) = _u3887) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3889), _u3890)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3890)), _u3889) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3890), _u3889))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3892), _u3891)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3893), _u3891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), _u3893)) )).
% 12.32/12.48 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), _u3893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3892), _u3891)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3893), _u3891))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3896), _u3894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3894), _u3896)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3895), _u3896))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3897), _u3898)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3898), _u3899)), _u3897) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3898), _u3897)), _u3899)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3900), _u3901)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3901), _u3900)), _u3902) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3901), _u3902)), _u3900)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3903), _u3904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3905), _u3904)), _u3903) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3904), _u3903))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3906), _u3907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3907), _u3906) != _u3908) | ( _u3907 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3908), _u3906)) )).
% 12.32/12.48 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3906), _u3907)) | ( _u3907 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3908), _u3906)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3907), _u3906) = _u3908) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3909), _u3910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), _u3909)), _u3909) = _u3910) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3912), _u3911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3913), _u3911)), _u3912)) )).
% 12.32/12.48 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3913), _u3911)), _u3912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3912), _u3911))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3914), _u3915)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3916), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3914)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3916), _u3915)), _u3914)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3917), _u3918)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3917), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3918), _u3917)) = _u3918) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3919), _u3920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3921), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3920), _u3921)), _u3919))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3925), _u3927)), _u3929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3925), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3929), _u3927))) )).
% 12.32/12.48 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3926), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3930), _u3928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3928)), _u3930)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3932), _u3931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3933), _u3931)), _u3932)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3934), _u3935) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3934), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3935))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3936), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3937)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3936), _u3937)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3938), hAPP(c_Nat_OSuc, _u3939)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3938), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3939)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3940)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3940) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3941), _u3942)), _u3942) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3941), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3941, _u3942))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3943), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3944), _u3943)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3944), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3944, _u3943))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3945, _u3946) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3945), _u3946)), _u3946))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3947), _u3948)) | ( c_Nat__Transfer_Otsub(_u3948, _u3947) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3948), _u3947)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u3949), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3950)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3949), _u3950))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3952), _u3953)), _u3954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3955), _u3953)), _u3956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3951), _u3952), _u3955)), _u3953)), _u3954)), _u3956)) )).
% 12.32/12.48 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3951), _u3952), _u3955)), _u3953)), _u3954)), _u3956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3952), _u3953)), _u3954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3955), _u3953)), _u3956))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3958), _u3959)), _u3960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3961), _u3959)), _u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), _u3960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3957), _u3961), _u3958)), _u3959)), _u3962))) )).
% 12.32/12.48 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), _u3960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3957), _u3961), _u3958)), _u3959)), _u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3958), _u3959)), _u3960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3961), _u3959)), _u3962))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3964), _u3965)), _u3966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3967), _u3965)), _u3968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3963), _u3964), _u3967)), _u3965)), _u3966)), _u3968)) )).
% 12.32/12.48 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3963), _u3964), _u3967)), _u3965)), _u3966)), _u3968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3964), _u3965)), _u3966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3967), _u3965)), _u3968))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3970), _u3971)), _u3972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3973), _u3971)), _u3974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3969), _u3973), _u3970)), _u3971)), _u3974))) )).
% 12.32/12.48 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3969), _u3973), _u3970)), _u3971)), _u3974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3970), _u3971)), _u3972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3973), _u3971)), _u3974))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3975), hAPP(c_Nat_OSuc, _u3976))), _u3975)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u3977)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3977), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3977) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u3983, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3985), _u3987)) | hBOOL(hAPP(_u3983, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u3983, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3987))) | ( _u3985 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3987), _u3978)) | hBOOL(hAPP(_u3983, _u3978)) )).
% 12.32/12.48 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3986), _u3988)) | ( _u3986 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3988), skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.48 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3986), _u3988)) | ~hBOOL(hAPP(_u3984, skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.48 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | ~hBOOL(hAPP(_u3984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3986 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3988), skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.48 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | ~hBOOL(hAPP(_u3984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3984, skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u3994, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3996), _u3998))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3996), _u3998)) | hBOOL(hAPP(_u3994, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u3994, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3996), _u3998))) | ( _u3996 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3998), _u3989)) | hBOOL(hAPP(_u3994, _u3989)) )).
% 12.32/12.48 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3997), _u3999)) | ( _u3997 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3999), skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.48 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3997), _u3999)) | ~hBOOL(hAPP(_u3995, skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.48 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | ~hBOOL(hAPP(_u3995, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3997 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3999), skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.48 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | ~hBOOL(hAPP(_u3995, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3995, skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4002), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4004), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4002), _u4004)) )).
% 12.32/12.48 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4003), _u4005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4005), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4006), _u4007)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4007), _u4006))), _u4008) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4007)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4006), _u4008))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4009), _u4010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4011), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4010), _u4009))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), _u4009)), hAPP(c_Nat_OSuc, _u4010))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4012), _u4013)) | ~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), _u4013), _u4014)), _u4015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4012), _u4014)), _u4016))) | 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), _u4013), _u4012)), _u4014)), _u4015)), _u4016)) )).
% 12.32/12.48 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4012), _u4013)) | ~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), _u4013), _u4012)), _u4014)), _u4015)), _u4016)) | 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), _u4013), _u4014)), _u4015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4012), _u4014)), _u4016))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4017), _u4018)) | ( 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), _u4018), _u4019)), _u4020)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4017), _u4019)), _u4021)) = 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), _u4018), _u4017)), _u4019)), _u4020)), _u4021)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4022), _u4023)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4023), _u4024)), _u4025) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4022), _u4024)), _u4026)) | ( 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), _u4023), _u4022)), _u4024)), _u4025) = _u4026) )).
% 12.32/12.48 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4022), _u4023)) | ( 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), _u4023), _u4022)), _u4024)), _u4025) != _u4026) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4023), _u4024)), _u4025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4022), _u4024)), _u4026)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4027), _u4028)) | ~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), _u4027), _u4029)), _u4030)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4028), _u4029)), _u4031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4030), 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), _u4028), _u4027)), _u4029)), _u4031))) )).
% 12.32/12.48 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4027), _u4028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4030), 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), _u4028), _u4027)), _u4029)), _u4031))) | 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), _u4027), _u4029)), _u4030)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4028), _u4029)), _u4031))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4032), _u4033)) | ( 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), _u4032), _u4034)), _u4035)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4033), _u4034)), _u4036)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4035), 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), _u4033), _u4032)), _u4034)), _u4036))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4037), _u4038)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4037), _u4039)), _u4040) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4038), _u4039)), _u4041)) | ( _u4040 = 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), _u4038), _u4037)), _u4039)), _u4041)) )).
% 12.32/12.48 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4037), _u4038)) | ( _u4040 != 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), _u4038), _u4037)), _u4039)), _u4041)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4037), _u4039)), _u4040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4038), _u4039)), _u4041)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4044, _u4046) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4044, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4046)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, _u4047) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4047)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, _u4047)), _u4047)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4050, _u4052) != 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), _u4050), _u4052) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4051, _u4053) = 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), _u4051), _u4053) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4053), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4051, _u4053))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4054, _u4055) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4054), _u4055)), _u4055))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4056), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4057), _u4056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4057), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4057, _u4056))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4060), _u4062)) | ( c_Nat__Transfer_Otsub(_u4062, _u4060) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4062), _u4060)) )).
% 12.32/12.48 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4061), _u4063)) | ( c_Nat__Transfer_Otsub(_u4063, _u4061) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4064)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4064) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4065)) | ( _u4065 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4065), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4066), _u4067)) | ~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), _u4067), _u4068)), _u4069)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4068)), _u4070))) | 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), _u4067), _u4066)), _u4068)), _u4069)), _u4070)) )).
% 12.32/12.48 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4066), _u4067)) | ~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), _u4067), _u4066)), _u4068)), _u4069)), _u4070)) | 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), _u4067), _u4068)), _u4069)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4068)), _u4070))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4071), _u4072)) | ~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), _u4071), _u4073)), _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4072), _u4073)), _u4075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4074), 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), _u4072), _u4071)), _u4073)), _u4075))) )).
% 12.32/12.48 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4071), _u4072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4074), 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), _u4072), _u4071)), _u4073)), _u4075))) | 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), _u4071), _u4073)), _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4072), _u4073)), _u4075))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__eq__if-1, axiom, ( ( _u4078 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4078), _u4080) = _u4080) )).
% 12.32/12.48 cnf(fact_add__eq__if-2, axiom, ( ( _u4079 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4079), _u4081) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4079), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4081))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__if ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4083), _u4082)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4083), _u4082) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 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)), _u4082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4083), _u4082)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4083), _u4082) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4083), _u4082)), _u4082))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4085), _u4084)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4085), _u4084) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4085), _u4084)), _u4084))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__eq__if-1, axiom, ( ( _u4088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4088), _u4090) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_mult__eq__if-2, axiom, ( ( _u4089 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4089), _u4091) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4091))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4093)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4093), _u4092)), _u4093) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4093), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4092), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4098)) | ~hBOOL(hAPP(_u4097, _u4095)) | hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4095), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4098), _u4096)))) | hBOOL(hAPP(_u4097, skolem77(_u4098, _u4097, _u4096))) )).
% 12.32/12.48 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)), _u4096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4098)) | ~hBOOL(hAPP(_u4097, _u4095)) | hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4095), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4098), _u4096)))) | ~hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem77(_u4098, _u4097, _u4096)), _u4096))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4101), 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), _u4101), _u4100))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4099)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4103), 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), _u4103), _u4104))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4102))), _u4104)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4106, _u4107) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4108, _u4107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4108), _u4106)) | ( _u4106 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4107), skolem78(_u4108, _u4107, _u4106)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4112, _u4111, _u4110)), _u4110)) )).
% 12.32/12.48 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u4111, skolem79(_u4112, _u4111, _u4110))) )).
% 12.32/12.48 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4111, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem79(_u4112, _u4111, _u4110)), _u4110))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4113))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4113) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4113)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u4116 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4118, _u4116) = _u4118) )).
% 12.32/12.48 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u4117 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4119, _u4117) = c_Nitpick_Onat__gcd(_u4117, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4119, _u4117))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u4120) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4120), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4121), _u4122)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4120), hAPP(c_Int_Oring__1__class_Oof__int(_u4120), _u4121)), _u4122)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4123) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4123), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4124)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4124)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4125) | ~class_Int_Oring__char__0(_u4125) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4126) != hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4127)) | ( _u4126 = _u4127) )).
% 12.32/12.48 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4125) | ~class_Int_Oring__char__0(_u4125) | ( _u4126 != _u4127) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4126) = hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4127)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u4128) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129) != _u4130) | ( _u4130 = hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129)) )).
% 12.32/12.48 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u4128) | ( _u4130 != hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129) = _u4130) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4131) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4131), hAPP(c_Groups_Oabs__class_Oabs(_u4131), _u4132)) = hAPP(c_Groups_Oabs__class_Oabs(_u4131), _u4132)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4133)), _u4134))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4135), hAPP(c_Groups_Oabs__class_Oabs(_u4135), _u4136)), _u4137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4135), _u4136), _u4137)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4139), hAPP(c_Groups_Oabs__class_Oabs(_u4138), _u4139))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4140) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4140), c_Groups_Ozero__class_Ozero(_u4140)) = c_Groups_Ozero__class_Ozero(_u4140)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4141) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4141), _u4142) != c_Groups_Ozero__class_Ozero(_u4141)) | ( _u4142 = c_Groups_Ozero__class_Ozero(_u4141)) )).
% 12.32/12.48 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4141) | ( _u4142 != c_Groups_Ozero__class_Ozero(_u4141)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4141), _u4142) = c_Groups_Ozero__class_Ozero(_u4141)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4143) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4144)), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4145))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4144)), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4145))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u4146) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4146), hAPP(c_Groups_Oabs__class_Oabs(_u4146), _u4147)), hAPP(c_Groups_Oabs__class_Oabs(_u4146), _u4147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4146), _u4147), _u4147)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u4148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4148), _u4149), _u4150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4148), hAPP(c_Groups_Oabs__class_Oabs(_u4148), _u4149)), hAPP(c_Groups_Oabs__class_Oabs(_u4148), _u4150))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4151) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4151), _u4152), _u4153)) = hAPP(c_Groups_Oabs__class_Oabs(_u4151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4151), _u4153), _u4152))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u4154) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4154), c_Groups_Oone__class_Oone(_u4154)) = c_Groups_Oone__class_Oone(_u4154)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4155) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4155), hAPP(c_Groups_Ouminus__class_Ouminus(_u4155), _u4156)) = hAPP(c_Groups_Oabs__class_Oabs(_u4155), _u4156)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4157), _u4158), _u4159)), _u4160) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4157), hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), _u4158), _u4160)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), _u4159), _u4160))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u4161) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4161), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4161), _u4162)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4161), _u4162)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4163)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4163)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4164) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), _u4165), _u4166)), _u4167) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), _u4165), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4166), _u4167))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4168), _u4169)), _u4170) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4169), _u4170))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4171) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4171), _u4172), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4172) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.32/12.48 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, _u4173, _u4174)), _u4175), _u4174) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4173), _u4175), _u4174)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u4176) | ~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), _u4177))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4176), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4177)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4176), _u4177)) )).
% 12.32/12.48 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u4176) | 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), _u4177))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4176), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4177)) = c_Groups_Ozero__class_Ozero(_u4176)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4178) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4178), _u4179) = hAPP(c_Int_Oring__1__class_Oof__int(_u4178), _u4179)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4180) | ~class_Rings_Olinordered__idom(_u4180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)), c_Groups_Ozero__class_Ozero(_u4180))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181))) )).
% 12.32/12.48 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4180) | ~class_Rings_Olinordered__idom(_u4180) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)), c_Groups_Ozero__class_Ozero(_u4180))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4184)), _u4186))) | ( _u4184 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 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), _u4185)), _u4187))) | ( _u4185 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 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), _u4185)), _u4187))) | ( _u4187 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4188), c_Groups_Ozero__class_Ozero(_u4188)), _u4189)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4188), _u4189) = _u4189) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(c_Groups_Oabs__class_Oabs(_u4190), _u4191)), c_Groups_Ozero__class_Ozero(_u4190))) | ( _u4191 = c_Groups_Ozero__class_Ozero(_u4190)) )).
% 12.32/12.48 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4190) | ( _u4191 != c_Groups_Ozero__class_Ozero(_u4190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(c_Groups_Oabs__class_Oabs(_u4190), _u4191)), c_Groups_Ozero__class_Ozero(_u4190))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4192), c_Groups_Ozero__class_Ozero(_u4192)), hAPP(c_Groups_Oabs__class_Oabs(_u4192), _u4193))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4194), hAPP(c_Groups_Oabs__class_Oabs(_u4194), _u4195)), c_Groups_Ozero__class_Ozero(_u4194))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4196), c_Groups_Ozero__class_Ozero(_u4196)), hAPP(c_Groups_Oabs__class_Oabs(_u4196), _u4197))) | ( _u4197 != c_Groups_Ozero__class_Ozero(_u4196)) )).
% 12.32/12.48 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4196) | ( _u4197 = c_Groups_Ozero__class_Ozero(_u4196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4196), c_Groups_Ozero__class_Ozero(_u4196)), hAPP(c_Groups_Oabs__class_Oabs(_u4196), _u4197))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4198), c_Groups_Ozero__class_Ozero(_u4198)), _u4199)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199) = _u4199) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4200), hAPP(c_Groups_Oabs__class_Oabs(_u4200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4200), _u4201), _u4202))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4200), hAPP(c_Groups_Oabs__class_Oabs(_u4200), _u4201)), hAPP(c_Groups_Oabs__class_Oabs(_u4200), _u4202)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u4203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4204)), _u4205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4206)), _u4207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4204)), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4206))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4203), _u4205), _u4207))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4208), hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209)), hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4210))), hAPP(c_Groups_Oabs__class_Oabs(_u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4208), _u4210), _u4209)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4211), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4211), hAPP(c_Groups_Oabs__class_Oabs(_u4211), _u4212)), hAPP(c_Groups_Oabs__class_Oabs(_u4211), _u4213))), hAPP(c_Groups_Oabs__class_Oabs(_u4211), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4211), _u4212), _u4213)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4214) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(c_Groups_Oabs__class_Oabs(_u4214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4214), hAPP(c_Groups_Oabs__class_Oabs(_u4214), _u4215)), hAPP(c_Groups_Oabs__class_Oabs(_u4214), _u4216)))), hAPP(c_Groups_Oabs__class_Oabs(_u4214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4214), _u4215), _u4216)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), hAPP(c_Groups_Ouminus__class_Ouminus(_u4217), _u4218)), hAPP(c_Groups_Oabs__class_Oabs(_u4217), _u4218))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), _u4220), _u4221)) )).
% 12.32/12.48 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Ouminus__class_Ouminus(_u4219), _u4220)), _u4221)) )).
% 12.32/12.48 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), _u4220), _u4221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Ouminus__class_Ouminus(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), _u4223), _u4224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), hAPP(c_Groups_Ouminus__class_Ouminus(_u4222), _u4223)), _u4224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), hAPP(c_Groups_Oabs__class_Oabs(_u4222), _u4223)), _u4224)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(c_Groups_Oabs__class_Oabs(_u4225), _u4226)), _u4227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(c_Groups_Ouminus__class_Ouminus(_u4225), _u4226)), _u4227)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), _u4229), _u4230)) )).
% 12.32/12.48 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229)), _u4230)) )).
% 12.32/12.48 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), _u4229), _u4230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4231) | ~class_Orderings_Olinorder(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232))) )).
% 12.32/12.48 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4231) | ~class_Orderings_Olinorder(_u4231) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4234) | ~class_Rings_Osemiring(_u4234) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4234), _u4235), _u4236)), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4234), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), _u4235), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), _u4236), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4238) | ~class_Rings_Osemiring(_u4238) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), _u4240), _u4241)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), _u4240)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), _u4241))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), hAPP(c_Nat_OSuc, _u4244)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4242), _u4243), hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), _u4244))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4245), _u4246), hAPP(hAPP(c_Power_Opower__class_Opower(_u4245), _u4246), _u4247)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4245), _u4246), hAPP(c_Nat_OSuc, _u4247))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4248), hAPP(hAPP(c_Power_Opower__class_Opower(_u4248), _u4249), _u4250)), _u4249) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4248), _u4249), hAPP(c_Nat_OSuc, _u4250))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4251) | ~class_Rings_Oring(_u4251) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4251), _u4252), _u4253)), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), _u4252), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), _u4253), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4255) | ~class_Rings_Oring(_u4255) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4255), _u4257), _u4258)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), _u4258))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4259) | ~class_Rings_Olinordered__idom(_u4259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4260)), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4260), _u4261)) )).
% 12.32/12.48 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4259) | ~class_Rings_Olinordered__idom(_u4259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4260), _u4261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4260)), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4261))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4262) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4262)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4264) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4264), hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), _u4266)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), _u4267)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4266), _u4267))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4268) | ~class_Rings_Olinordered__idom(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4268), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4269)), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4269), _u4270)) )).
% 12.32/12.48 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4268) | ~class_Rings_Olinordered__idom(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4269), _u4270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4268), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4269)), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4270))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4271) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4272), _u4273)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4271), hAPP(c_Int_Onumber__class_Onumber__of(_u4271), _u4272)), hAPP(c_Int_Onumber__class_Onumber__of(_u4271), _u4273))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4274) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4274), hAPP(c_Int_Onumber__class_Onumber__of(_u4274), _u4275)), hAPP(c_Int_Onumber__class_Onumber__of(_u4274), _u4276)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4274), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4275), _u4276))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4277) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), _u4278)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), _u4279)), _u4280)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4278), _u4279))), _u4280)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4281)) | 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), _u4281), _u4282))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4283) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), _u4284)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), _u4285)), _u4286)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4284), _u4285))), _u4286)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4287), hAPP(c_Int_Onumber__class_Onumber__of(_u4287), _u4288)), hAPP(c_Int_Onumber__class_Onumber__of(_u4287), _u4289)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4287), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4288), _u4289))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4290) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4291), _u4292)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4290), hAPP(c_Int_Onumber__class_Onumber__of(_u4290), _u4291)), hAPP(c_Int_Onumber__class_Onumber__of(_u4290), _u4292))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4293), _u4294)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4293) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4295) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4296), _u4297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4295), hAPP(c_Int_Onumber__class_Onumber__of(_u4295), _u4296)), hAPP(c_Int_Onumber__class_Onumber__of(_u4295), _u4297))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4299), _u4300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), _u4299)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), _u4300))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u4301) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4302)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u4303) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4303), hAPP(c_Int_Onumber__class_Onumber__of(_u4303), _u4304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4304))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4305) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), c_Groups_Osgn__class_Osgn(_u4305, _u4306)), hAPP(c_Groups_Oabs__class_Oabs(_u4305), _u4306)) = _u4306) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u4307) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4307), _u4308) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4307), _u4308), c_Groups_Osgn__class_Osgn(_u4307, _u4308))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4310)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(c_Groups_Oabs__class_Oabs(_u4309), _u4311)), _u4310) = hAPP(c_Groups_Oabs__class_Oabs(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4311), _u4310))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4314)) )).
% 12.32/12.48 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4314), c_Groups_Ozero__class_Ozero(_u4312))) )).
% 12.32/12.48 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4313), c_Groups_Ozero__class_Ozero(_u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4314)) )).
% 12.32/12.48 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4313), c_Groups_Ozero__class_Ozero(_u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4314), c_Groups_Ozero__class_Ozero(_u4312))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4315), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), _u4316), _u4317)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), _u4318), _u4319)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), _u4316), _u4318))), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), _u4317), _u4319))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), hAPP(c_Groups_Oabs__class_Oabs(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4320), _u4321), _u4322))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4320), hAPP(c_Groups_Oabs__class_Oabs(_u4320), _u4321)), hAPP(c_Groups_Oabs__class_Oabs(_u4320), _u4322)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4323), _u4324), c_Groups_Ozero__class_Ozero(_u4323))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4323), _u4324) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), _u4324)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), hAPP(c_Groups_Ouminus__class_Ouminus(_u4325), hAPP(c_Groups_Oabs__class_Oabs(_u4325), _u4326))), c_Groups_Ozero__class_Ozero(_u4325))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u4327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4327), _u4328), c_Groups_Ozero__class_Ozero(_u4327))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4327), _u4328) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4327), _u4328)) )).
% 12.32/12.48 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u4327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4327), _u4328), c_Groups_Ozero__class_Ozero(_u4327))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4327), _u4328) = _u4328) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4329), _u4330), c_Groups_Ozero__class_Ozero(_u4329))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4329), _u4330) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4329), _u4330)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4332)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4332 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u4333 != 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), _u4333)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4334) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), _u4335)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), _u4336)), _u4337)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4335), _u4336))), _u4337)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4339), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4339) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4339)) )).
% 12.32/12.48 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4340), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4340) = _u4340) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4341), hAPP(c_Groups_Ouminus__class_Ouminus(_u4341), hAPP(c_Int_Onumber__class_Onumber__of(_u4341), _u4342))), _u4343) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4341), hAPP(c_Int_Onumber__class_Onumber__of(_u4341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4342))), _u4343)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4344), _u4345))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4344))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4345)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4346) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4346), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4347)), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4348)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4347), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4348)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u4349) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4349), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), _u4350)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4349), _u4351), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), _u4352))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4349), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4350), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4352)))), _u4351)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4353), _u4354), _u4355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4353), c_Groups_Ozero__class_Ozero(_u4353)), _u4354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4353), hAPP(hAPP(c_Power_Opower__class_Opower(_u4353), _u4354), _u4356)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4353), _u4355), _u4356))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4357), c_Groups_Oone__class_Oone(_u4357)), _u4358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4357), c_Groups_Oone__class_Oone(_u4357)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4357), _u4358), _u4359))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Oone__class_Oone(_u4360)), _u4361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4360), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4362)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4362), _u4363)) )).
% 12.32/12.48 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Oone__class_Oone(_u4360)), _u4361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4362), _u4363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4360), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4362)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4363))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), c_Groups_Oone__class_Oone(_u4364)), _u4365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4366)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4366), _u4367)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4369), _u4370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), c_Groups_Ozero__class_Ozero(_u4368)), _u4371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), _u4371), c_Groups_Oone__class_Oone(_u4368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), hAPP(hAPP(c_Power_Opower__class_Opower(_u4368), _u4371), _u4370)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4368), _u4371), _u4369))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4372) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4373), _u4374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), c_Groups_Ozero__class_Ozero(_u4372)), _u4375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), _u4375), c_Groups_Oone__class_Oone(_u4372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), hAPP(hAPP(c_Power_Opower__class_Opower(_u4372), _u4375), _u4374)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4372), _u4375), _u4373))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Oone__class_Oone(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Power_Opower__class_Opower(_u4376), _u4377), hAPP(c_Nat_OSuc, _u4378))), c_Groups_Oone__class_Oone(_u4376))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4379) = _u4379) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4382)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4382), _u4384)) )).
% 12.32/12.48 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4383), _u4385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4385))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4388)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4388), _u4390)) )).
% 12.32/12.48 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4389), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4389)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4391))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4392)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4392), _u4393))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4394)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4395)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4394), _u4395))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4396)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4396))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.32/12.48 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))), _u4397) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4400), _u4402) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4402 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4400 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4401), _u4403) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4403 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4401), _u4403) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4401 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4404), _u4405)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4404), _u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4405), _u4406)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4409), _u4411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4409)) | ( _u4411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 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), _u4410), _u4412))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4410)) )).
% 12.32/12.48 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), _u4410), _u4412))) | ( _u4412 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4413) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4413)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.32/12.48 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))), _u4414)) | 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), _u4414), _u4415))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4417) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4417))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4418)), _u4419) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4418), _u4419))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__power ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4420), _u4421)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4420)), _u4421)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4422)), _u4423) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4422), _u4423))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__numeral__code_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4424)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4425)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4424), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4425)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__eq__if-1, axiom, ( ( _u4428 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4430), _u4428) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_power__eq__if-2, axiom, ( ( _u4429 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4431), _u4429) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4431), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4431), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4429), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4434) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436)) | ( _u4434 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436))) )).
% 12.32/12.48 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4434) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436)) | 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), _u4436))) )).
% 12.32/12.48 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u4435 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4437))) | ~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), _u4437))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4435) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4437)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4438)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4438), _u4439)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4438)), _u4439)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 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)), _u4440)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4440)), _u4441) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4440), _u4441))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4442) | ( _u4443 = c_Groups_Ozero__class_Ozero(_u4442)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4442), _u4443), _u4444) != c_Groups_Ozero__class_Ozero(_u4442)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u4445) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4445), hAPP(hAPP(c_Power_Opower__class_Opower(_u4445), _u4446), _u4447)), _u4446) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4445), _u4446), hAPP(hAPP(c_Power_Opower__class_Opower(_u4445), _u4446), _u4447))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4448) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), _u4451) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), _u4449), _u4451)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), _u4450), _u4451))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u4452) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4452), c_Groups_Oone__class_Oone(_u4452)), _u4453) = c_Groups_Oone__class_Oone(_u4452)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u4454) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4454), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4455), _u4456)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4454), _u4455)), _u4456)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u4457) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), _u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4459), _u4460)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), _u4458), _u4459)), _u4460)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4461)) = 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), _u4461)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4462) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4462), hAPP(hAPP(c_Power_Opower__class_Opower(_u4462), _u4463), _u4464)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4462), hAPP(c_Groups_Oabs__class_Oabs(_u4462), _u4463)), _u4464)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u4465) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4465), _u4466), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4466) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4467), c_Groups_Ozero__class_Ozero(_u4467)), _u4468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4467), c_Groups_Ozero__class_Ozero(_u4467)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4467), _u4468), _u4469))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), _u4471), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), c_Groups_Ozero__class_Ozero(_u4470)), _u4471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), hAPP(hAPP(c_Power_Opower__class_Opower(_u4470), _u4471), _u4473)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4470), _u4472), _u4473))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4474), c_Groups_Ozero__class_Ozero(_u4474)), _u4475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4474), c_Groups_Ozero__class_Ozero(_u4474)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4474), _u4475), _u4476))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4478 = c_Groups_Ozero__class_Ozero(_u4477)) )).
% 12.32/12.48 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( _u4478 != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4479 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) = c_Groups_Ozero__class_Ozero(_u4477)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4480), c_Groups_Oone__class_Oone(_u4480)), _u4481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4480), c_Groups_Oone__class_Oone(_u4480)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4480), _u4481), _u4482))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u4483) | ~class_Rings_Osemiring__0(_u4483) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4483), c_Groups_Ozero__class_Ozero(_u4483)), hAPP(c_Nat_OSuc, _u4484)) = c_Groups_Ozero__class_Ozero(_u4483)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Oone__class_Oone(_u4485)), _u4486)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4487) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4488)) | ( _u4487 = _u4488) )).
% 12.32/12.48 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Oone__class_Oone(_u4485)), _u4486)) | ( _u4487 != _u4488) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4487) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4488)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u4489) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4489), _u4490), hAPP(c_Nat_OSuc, _u4491)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4490), hAPP(hAPP(c_Power_Opower__class_Opower(_u4489), _u4490), _u4491))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u4492) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4492), _u4493), hAPP(c_Nat_OSuc, _u4494)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4492), hAPP(hAPP(c_Power_Opower__class_Opower(_u4492), _u4493), _u4494)), _u4493)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u4495) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4495), _u4496), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4495)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u4497) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4499), _u4500)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), _u4499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), _u4500))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u4501) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4501), hAPP(hAPP(c_Power_Opower__class_Opower(_u4501), hAPP(c_Groups_Ouminus__class_Ouminus(_u4501), _u4502)), _u4503)) = hAPP(c_Groups_Oabs__class_Oabs(_u4501), hAPP(hAPP(c_Power_Opower__class_Opower(_u4501), _u4502), _u4503))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), hAPP(hAPP(c_Power_Opower__class_Opower(_u4504), _u4505), _u4506)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4504), _u4507), _u4506))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4504), c_Groups_Ozero__class_Ozero(_u4504)), _u4507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), _u4505), _u4507)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), hAPP(hAPP(c_Power_Opower__class_Opower(_u4508), _u4509), hAPP(c_Nat_OSuc, _u4510))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4508), _u4511), hAPP(c_Nat_OSuc, _u4510)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), c_Groups_Ozero__class_Ozero(_u4508)), _u4511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), _u4509), _u4511)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4512) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4513), hAPP(c_Nat_OSuc, _u4514)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4515), hAPP(c_Nat_OSuc, _u4514))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), c_Groups_Ozero__class_Ozero(_u4512)), _u4513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), c_Groups_Ozero__class_Ozero(_u4512)), _u4515)) | ( _u4513 = _u4515) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4519), c_Groups_Oone__class_Oone(_u4519)), _u4520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4519), hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), _u4520), _u4521)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), _u4520), _u4521)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u4522) | ~class_Rings_Osemiring__0(_u4522) | ( _u4523 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4522), c_Groups_Ozero__class_Ozero(_u4522)), _u4523) = c_Groups_Oone__class_Oone(_u4522)) )).
% 12.32/12.48 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u4522) | ~class_Rings_Osemiring__0(_u4522) | ( _u4523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4522), c_Groups_Ozero__class_Ozero(_u4522)), _u4523) = c_Groups_Ozero__class_Ozero(_u4522)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4524), c_Groups_Oone__class_Oone(_u4524)), _u4525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4524), c_Groups_Oone__class_Oone(_u4524)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), hAPP(c_Nat_OSuc, _u4526)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4528), _u4529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), c_Groups_Oone__class_Oone(_u4527)), _u4530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(hAPP(c_Power_Opower__class_Opower(_u4527), _u4530), _u4528)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4527), _u4530), _u4529))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4531), c_Groups_Oone__class_Oone(_u4531)), _u4532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4531), hAPP(hAPP(c_Power_Opower__class_Opower(_u4531), _u4532), _u4533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4531), _u4532), _u4534))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4533), _u4534)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), c_Groups_Oone__class_Oone(_u4535)), _u4536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4537), _u4538)) )).
% 12.32/12.48 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), c_Groups_Oone__class_Oone(_u4535)), _u4536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4537), _u4538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4538))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4539), c_Groups_Ozero__class_Ozero(_u4539)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4539), hAPP(c_Groups_Oabs__class_Oabs(_u4539), _u4540)), _u4541))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4543), _u4544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Oone__class_Oone(_u4542)), _u4545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), hAPP(hAPP(c_Power_Opower__class_Opower(_u4542), _u4545), _u4543)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4542), _u4545), _u4544))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u4546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), hAPP(c_Groups_Ouminus__class_Ouminus(_u4546), _u4547)), _u4548) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4546), hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), hAPP(c_Groups_Ouminus__class_Ouminus(_u4546), c_Groups_Oone__class_Oone(_u4546))), _u4548)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), _u4547), _u4548))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), c_Groups_Ozero__class_Ozero(_u4549)), _u4550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), _u4550), c_Groups_Oone__class_Oone(_u4549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4549), _u4550), hAPP(hAPP(c_Power_Opower__class_Opower(_u4549), _u4550), _u4551))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4549), _u4550), _u4551))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4552) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4555), _u4554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4552), c_Groups_Ozero__class_Ozero(_u4552)), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4552), c_Groups_Ozero__class_Ozero(_u4552)), _u4555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4554)) | ( _u4553 = _u4555) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u4556, _u4557) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4556), _u4557)), c_Nitpick_Onat__gcd(_u4556, _u4557))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u4558), _u4559) = 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), _u4558)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4559))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4561))) | ( 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), _u4561)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48 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), _u4562))) | ( 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), _u4562)) = 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), _u4562)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u4563) | ( c_Power_Opower__class_Opower(_u4563) = c_Power_Opower_Opower(_u4563, c_Groups_Oone__class_Oone(_u4563), c_Groups_Otimes__class_Otimes(_u4563))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4566))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4566)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4568)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4567))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4569)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4569)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4572))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4572), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4574)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4575)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573)) )).
% 12.32/12.48 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4575)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u4576, _u4577) = 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), _u4576)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4577))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4578))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4580)) )).
% 12.32/12.48 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)), _u4581)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4581)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4584)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4585)) | ( hAPP(c_Int_Onat, _u4585) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4586)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4586)) = _u4586) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4587, _u4588, _u4589), _u4590), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4588) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4591, _u4592, _u4593), _u4594), hAPP(c_Nat_OSuc, _u4595)) = hAPP(hAPP(_u4593, _u4594), hAPP(hAPP(c_Power_Opower_Opower(_u4591, _u4592, _u4593), _u4594), _u4595))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__imp__number__of__eq__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4596))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4596) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 12.32/12.48 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, _u4597))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602))) | ( _u4600 = _u4602) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) | ( _u4601 != _u4603) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4601 != _u4603) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) | ( _u4601 != _u4603) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) )).
% 12.32/12.48 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4601 != _u4603) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__add__left-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4607))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4609)), _u4611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4609)), _u4611)) )).
% 12.32/12.48 cnf(fact_nat__number__of__add__left-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4608))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4610)), _u4612)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), _u4612)) )).
% 12.32/12.48 cnf(fact_nat__number__of__add__left-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4608))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4610)), _u4612)) = 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), _u4608), _u4610))), _u4612)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4614))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4614)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4615))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4615)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4615)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4616) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4617))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4616), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4617)) = c_Groups_Ozero__class_Ozero(_u4616)) )).
% 12.32/12.48 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4616) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4617))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4616), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4617)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4616), _u4617)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 12.32/12.48 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), _u4620))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4620)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622)) = 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), _u4622))) )).
% 12.32/12.48 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), _u4621))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4623)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4623)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4626))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4626)), _u4628) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4628)) )).
% 12.32/12.48 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4627))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4627)), _u4629) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4627)), _u4629))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__nat__number__of__add-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4632))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4632)), _u4634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4634)) )).
% 12.32/12.48 cnf(fact_Suc__nat__number__of__add-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4633))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4633)), _u4635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4633))), _u4635)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4637))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4637)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4638))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4638)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4638))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__minus1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4639)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4639) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4639), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__pos__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4640), _u4641)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4640), _u4641) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4646, _u4645, _u4644)), _u4644)) )).
% 12.32/12.48 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | ( hAPP(_u4645, skolem81(_u4646, _u4645, _u4644)) = _u4646) )).
% 12.32/12.48 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(_u4645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4645, skolem80(_u4646, _u4645, _u4644))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4646, _u4645, _u4644)), _u4644)) )).
% 12.32/12.48 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(_u4645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4645, skolem80(_u4646, _u4645, _u4644))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | ( hAPP(_u4645, skolem81(_u4646, _u4645, _u4644)) = _u4646) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4651, _u4650, _u4649)), _u4649)) )).
% 12.32/12.48 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | ( hAPP(_u4650, skolem83(_u4651, _u4650, _u4649)) = _u4651) )).
% 12.32/12.48 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(_u4650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4650, skolem82(_u4651, _u4650, _u4649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4651, _u4650, _u4649)), _u4649)) )).
% 12.32/12.48 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(_u4650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4650, skolem82(_u4651, _u4650, _u4649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | ( hAPP(_u4650, skolem83(_u4651, _u4650, _u4649)) = _u4651) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4652) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4653) != hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4654)) | c_Int_Oiszero(_u4652, hAPP(c_Int_Onumber__class_Onumber__of(_u4652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4654)))) )).
% 12.32/12.48 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4652) | ~c_Int_Oiszero(_u4652, hAPP(c_Int_Onumber__class_Onumber__of(_u4652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4654)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4653) = hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4654)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4655), c_Int_OMin) = c_Int_Osucc(_u4655)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4656) | ~c_Int_Oiszero(_u4656, hAPP(c_Int_Onumber__class_Onumber__of(_u4656), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I24_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u4657) | ~c_Int_Oiszero(_u4657, _u4658) | ( _u4658 = c_Groups_Ozero__class_Ozero(_u4657)) )).
% 12.32/12.48 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u4657) | ( _u4658 != c_Groups_Ozero__class_Ozero(_u4657)) | c_Int_Oiszero(_u4657, _u4658) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4659) | c_Int_Oiszero(_u4659, c_Groups_Ozero__class_Ozero(_u4659)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4660) | ~c_Int_Oiszero(_u4660, c_Groups_Oone__class_Oone(_u4660)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Int_OMin__def-1, axiom, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4661) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4661)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__number__of__Min-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4662) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4662), _u4663), hAPP(c_Int_Onumber__class_Onumber__of(_u4662), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4662), _u4663)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u4664) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4664), hAPP(c_Int_Onumber__class_Onumber__of(_u4664), c_Int_OMin)), _u4665) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4664), _u4665)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u4666) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4666), c_Groups_Oone__class_Oone(_u4666)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4666), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4667) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4667), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4667), c_Groups_Oone__class_Oone(_u4667))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4668) | ~class_Rings_Olinordered__idom(_u4668) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4668), hAPP(c_Int_Onumber__class_Onumber__of(_u4668), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4668)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4669, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4673), _u4675) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4673 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4675 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.48 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4673), _u4675) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4673 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4675 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4676), _u4677) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4676 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4676 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u4678) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4678), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4678), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4679), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4679)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4680) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4680), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4681) | ~class_Rings_Olinordered__idom(_u4681) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4681), hAPP(hAPP(c_Power_Opower__class_Opower(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), c_Int_OMin)), _u4682)) = c_Groups_Oone__class_Oone(_u4681)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__eq__minus1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4683)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4683) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u4684) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4684), c_Int_Osucc(_u4685)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4684), c_Groups_Oone__class_Oone(_u4684)), hAPP(c_Int_Onumber__class_Onumber__of(_u4684), _u4685))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4687), 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), _u4687)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4688), 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), _u4688)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4688))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4690), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4691), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4691)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4691))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4692) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4692), _u4693) != c_Groups_Ozero__class_Ozero(_u4692)) | c_Int_Oiszero(_u4692, hAPP(c_Int_Onumber__class_Onumber__of(_u4692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4693), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.32/12.48 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4692) | ~c_Int_Oiszero(_u4692, hAPP(c_Int_Onumber__class_Onumber__of(_u4692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4693), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4692), _u4693) = c_Groups_Ozero__class_Ozero(_u4692)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4694) | ( c_Groups_Ozero__class_Ozero(_u4694) != hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)) | c_Int_Oiszero(_u4694, hAPP(c_Int_Onumber__class_Onumber__of(_u4694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4695)))) )).
% 12.32/12.48 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4694) | ~c_Int_Oiszero(_u4694, hAPP(c_Int_Onumber__class_Onumber__of(_u4694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4695)))) | ( c_Groups_Ozero__class_Ozero(_u4694) = hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__number__of__pred__iff__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u4697)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4697) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4698) != 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(_u4698)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4702), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4704)), _u4706)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4703), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4703)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4705)), _u4707)) = 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), _u4703), _u4705))), _u4707)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4710), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4712)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4711), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4711)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4713)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4711), _u4713))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I19_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4714) = _u4714) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4715), c_Int_OPls) = _u4715) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4716) = c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4717), c_Int_OPls) = _u4717) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u4718)) = _u4718) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u4719) | ( c_Groups_Ozero__class_Ozero(_u4719) = hAPP(c_Int_Onumber__class_Onumber__of(_u4719), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u4720) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4720), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4720)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u4721) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4721), hAPP(c_Int_Onumber__class_Onumber__of(_u4721), c_Int_OPls)), _u4722) = _u4722) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u4723) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4723), _u4724), hAPP(c_Int_Onumber__class_Onumber__of(_u4723), c_Int_OPls)) = _u4724) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__Pls-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4725)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4725)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4726), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4725)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I20_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I23_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__neg__number__of__Pls-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u4727) | c_Int_Oiszero(_u4727, hAPP(c_Int_Onumber__class_Onumber__of(_u4727), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4730), _u4732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4730)), _u4732)) )).
% 12.32/12.48 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4731)), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4731), _u4733)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u4734) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4734), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4735), c_Int_OMin) = c_Int_Opred(_u4735)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4736) = c_Int_Opred(_u4736)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4738), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4738)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4739), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4739)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4739))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__0__number__of-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4741), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4742), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4742)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4744) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4744), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4745), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4745) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4748)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4748), _u4750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4750)) )).
% 12.32/12.48 cnf(fact_less__nat__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4748)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4748), _u4750)) )).
% 12.32/12.48 cnf(fact_less__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4749)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4751))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4749), _u4751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4751)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4754)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4754), _u4756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4754), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_le__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4755), _u4757)) )).
% 12.32/12.48 cnf(fact_le__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4755), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4758) | ~class_Rings_Olinordered__idom(_u4758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), _u4759)), c_Groups_Ozero__class_Ozero(_u4758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4759), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4758) | ~class_Rings_Olinordered__idom(_u4758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4759), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), _u4759)), c_Groups_Ozero__class_Ozero(_u4758))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4760) | ~class_Rings_Olinordered__idom(_u4760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4760), c_Groups_Ozero__class_Ozero(_u4760)), hAPP(c_Int_Onumber__class_Onumber__of(_u4760), _u4761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4761)) )).
% 12.32/12.48 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4760) | ~class_Rings_Olinordered__idom(_u4760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4760), c_Groups_Ozero__class_Ozero(_u4760)), hAPP(c_Int_Onumber__class_Onumber__of(_u4760), _u4761))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4762) | ~class_Rings_Olinordered__idom(_u4762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4762), c_Groups_Ozero__class_Ozero(_u4762)), hAPP(c_Int_Onumber__class_Onumber__of(_u4762), _u4763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4763)) )).
% 12.32/12.48 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4762) | ~class_Rings_Olinordered__idom(_u4762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4762), c_Groups_Ozero__class_Ozero(_u4762)), hAPP(c_Int_Onumber__class_Onumber__of(_u4762), _u4763))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4764) | ~class_Rings_Olinordered__idom(_u4764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4764), hAPP(c_Int_Onumber__class_Onumber__of(_u4764), _u4765)), c_Groups_Ozero__class_Ozero(_u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4765), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4764) | ~class_Rings_Olinordered__idom(_u4764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4765), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4764), hAPP(c_Int_Onumber__class_Onumber__of(_u4764), _u4765)), c_Groups_Ozero__class_Ozero(_u4764))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__0__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4767)) )).
% 12.32/12.48 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4768)) | 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), _u4768))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4771), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4771)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4773)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4773)) )).
% 12.32/12.48 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4774), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)) )).
% 12.32/12.48 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4774), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), _u4774))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u4775) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4775), c_Int_Opred(_u4776)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4775), hAPP(c_Groups_Ouminus__class_Ouminus(_u4775), c_Groups_Oone__class_Oone(_u4775))), hAPP(c_Int_Onumber__class_Onumber__of(_u4775), _u4776))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4777) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4777), _u4778) != c_Groups_Oone__class_Oone(_u4777)) | c_Int_Oiszero(_u4777, hAPP(c_Int_Onumber__class_Onumber__of(_u4777), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4778), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4777) | ~c_Int_Oiszero(_u4777, hAPP(c_Int_Onumber__class_Onumber__of(_u4777), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4778), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4777), _u4778) = c_Groups_Oone__class_Oone(_u4777)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4779) | ( c_Groups_Oone__class_Oone(_u4779) != hAPP(c_Int_Onumber__class_Onumber__of(_u4779), _u4780)) | c_Int_Oiszero(_u4779, hAPP(c_Int_Onumber__class_Onumber__of(_u4779), 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), _u4780)))) )).
% 12.32/12.48 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4779) | ~c_Int_Oiszero(_u4779, hAPP(c_Int_Onumber__class_Onumber__of(_u4779), 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), _u4780)))) | ( c_Groups_Oone__class_Oone(_u4779) = hAPP(c_Int_Onumber__class_Onumber__of(_u4779), _u4780)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4781) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4781), hAPP(c_Int_Onumber__class_Onumber__of(_u4781), _u4782)), c_Groups_Oone__class_Oone(_u4781)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4781), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4782), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4783) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4783), c_Groups_Oone__class_Oone(_u4783)), hAPP(c_Int_Onumber__class_Onumber__of(_u4783), _u4784)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4783), 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), _u4784)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__div__eq__add3__div__number__of-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4785)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4786)) = 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)))), _u4785)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4786))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__div__eq__add3__div-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4787)))), _u4788) = 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)))), _u4787)), _u4788)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u4791) != c_Int_OBit1(_u4793)) | ( _u4791 = _u4793) )).
% 12.32/12.48 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u4792 != _u4794) | ( c_Int_OBit1(_u4792) = c_Int_OBit1(_u4794)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4797)), c_Int_OBit1(_u4799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) )).
% 12.32/12.48 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4798)), c_Int_OBit1(_u4800))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.32/12.48 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(_u4803)), c_Int_OBit1(_u4805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) )).
% 12.32/12.48 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), _u4806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4804)), c_Int_OBit1(_u4806))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4809)), c_Int_OBit1(_u4811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4809), _u4811)) )).
% 12.32/12.48 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4810), _u4812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4810)), c_Int_OBit1(_u4812))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4815)), c_Int_OBit1(_u4817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 12.32/12.48 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4816), _u4818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4816)), c_Int_OBit1(_u4818))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u4819)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u4820) != c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u4822)) | ( c_Int_OMin = _u4822) )).
% 12.32/12.48 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u4823) | ( c_Int_OMin = c_Int_OBit1(_u4823)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u4825) != c_Int_OMin) | ( _u4825 = c_Int_OMin) )).
% 12.32/12.48 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u4826 != c_Int_OMin) | ( c_Int_OBit1(_u4826) = c_Int_OMin) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4828)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4828), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4829)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I22_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4831)) )).
% 12.32/12.48 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4832))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4834)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4834), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4835), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4835)), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u4836) = 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)), _u4836)), _u4836)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I26_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4838)) )).
% 12.32/12.48 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4839))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4841)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4841), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4842), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4842)), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4844)) )).
% 12.32/12.48 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4845))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4847)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4847), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4848), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4848)), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 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(_u4850)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4850))) )).
% 12.32/12.48 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4851))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4851)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4852)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4852)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4853) | ~class_Int_Oring__char__0(_u4853) | ~c_Int_Oiszero(_u4853, hAPP(c_Int_Onumber__class_Onumber__of(_u4853), c_Int_OBit1(_u4854))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4855) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4855), c_Int_OBit1(_u4856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4855), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4855), c_Groups_Oone__class_Oone(_u4855)), hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856))), hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4857) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4857), _u4858), hAPP(c_Int_Onumber__class_Onumber__of(_u4857), c_Int_OBit1(c_Int_OPls))) = _u4858) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u4859) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4859), hAPP(c_Int_Onumber__class_Onumber__of(_u4859), c_Int_OBit1(c_Int_OPls))), _u4860) = _u4860) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u4861) | ( c_Groups_Oone__class_Oone(_u4861) = hAPP(c_Int_Onumber__class_Onumber__of(_u4861), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u4862) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4862), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4862)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4864)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4864), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4865), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4865)), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4867)) )).
% 12.32/12.48 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4868))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4869)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4869))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u4870) | ~c_Int_Oiszero(_u4870, hAPP(c_Int_Onumber__class_Onumber__of(_u4870), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_numeral__3__eq__3-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u4871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4871), _u4872), 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(_u4871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4871), _u4872), _u4872)), _u4872)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4873))) = 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)))), _u4873)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_transfer__int__nat__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_transfer__nat__int__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4874) | ~class_Rings_Olinordered__idom(_u4874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4874), hAPP(c_Int_Onumber__class_Onumber__of(_u4874), _u4875)), c_Groups_Oone__class_Oone(_u4874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4875), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4874) | ~class_Rings_Olinordered__idom(_u4874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4875), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4874), hAPP(c_Int_Onumber__class_Onumber__of(_u4874), _u4875)), c_Groups_Oone__class_Oone(_u4874))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4876) | ~class_Rings_Olinordered__idom(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Oone__class_Oone(_u4876)), hAPP(c_Int_Onumber__class_Onumber__of(_u4876), _u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4877)) )).
% 12.32/12.48 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4876) | ~class_Rings_Olinordered__idom(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Oone__class_Oone(_u4876)), hAPP(c_Int_Onumber__class_Onumber__of(_u4876), _u4877))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4878) | ~class_Rings_Olinordered__idom(_u4878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4878), hAPP(c_Int_Onumber__class_Onumber__of(_u4878), _u4879)), c_Groups_Oone__class_Oone(_u4878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4879), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.48 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4878) | ~class_Rings_Olinordered__idom(_u4878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4879), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4878), hAPP(c_Int_Onumber__class_Onumber__of(_u4878), _u4879)), c_Groups_Oone__class_Oone(_u4878))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4880) | ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Oone__class_Oone(_u4880)), hAPP(c_Int_Onumber__class_Onumber__of(_u4880), _u4881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4881)) )).
% 12.32/12.48 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4880) | ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Oone__class_Oone(_u4880)), hAPP(c_Int_Onumber__class_Onumber__of(_u4880), _u4881))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4882) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4882), c_Groups_Oone__class_Oone(_u4882)), hAPP(c_Int_Onumber__class_Onumber__of(_u4882), _u4883)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4883))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(c_Int_Onumber__class_Onumber__of(_u4884), _u4885)), c_Groups_Oone__class_Oone(_u4884)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4884), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4885), c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__diff__eq__diff__pred-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)), _u4886)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4887)), _u4886) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4888, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4889)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4888, 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)))), _u4889))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__mod__eq__add3__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4890))), _u4891) = 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)))), _u4890), _u4891)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Suc__mod__eq__add3__mod__number__of-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4892))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4893)) = 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)))), _u4892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4893))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4894), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4895)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4894), 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)))), _u4895))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zmod__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4898))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4898))) = 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), _u4900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4898)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_zmod__number__of__Bit1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4899))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4901)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4899))) = 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), _u4901)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4899)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4902), 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)))), _u4903)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4902)) = 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), _u4903), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4902))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pos__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4904)) | ( 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)))), _u4905))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4904)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4905), _u4904)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4906), 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)))), _u4907))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4906)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4907), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4906)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pos__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4908)) | ( 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)))), _u4909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4908)) = 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, _u4909, _u4908)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u4910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4911)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), 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)))), _u4911))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), hAPP(c_Int_Onat, _u4911))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), hAPP(c_Int_Onat, _u4911)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u4914) != c_Int_OBit0(_u4916)) | ( _u4914 = _u4916) )).
% 12.32/12.48 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u4915 != _u4917) | ( c_Int_OBit0(_u4915) = c_Int_OBit0(_u4917)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__eq__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4920)), c_Int_OBit0(_u4922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4920), _u4922)) )).
% 12.32/12.48 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4921), _u4923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4921)), c_Int_OBit0(_u4923))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4926)), c_Int_OBit0(_u4928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4926), _u4928)) )).
% 12.32/12.48 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4927), _u4929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4927)), c_Int_OBit0(_u4929))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4932)), c_Int_OBit0(_u4934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4932), _u4934)) )).
% 12.32/12.48 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4933), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4933)), c_Int_OBit0(_u4935))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4938)), c_Int_OBit0(_u4940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4938), _u4940)) )).
% 12.32/12.48 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), _u4941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4939)), c_Int_OBit0(_u4941))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u4943) != c_Int_OPls) | ( _u4943 = c_Int_OPls) )).
% 12.32/12.48 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u4944 != c_Int_OPls) | ( c_Int_OBit0(_u4944) = c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u4946)) | ( c_Int_OPls = _u4946) )).
% 12.32/12.48 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u4947) | ( c_Int_OPls = c_Int_OBit0(_u4947)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u4948) != c_Int_OBit0(_u4949)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u4950) != c_Int_OBit1(_u4951)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u4952) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4952), _u4952)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4953)), c_Int_OBit0(_u4954)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4953), _u4954))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u4955)), _u4956) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4955), _u4956))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4957)), c_Int_OBit0(_u4958)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4957), _u4958))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u4959)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4959))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u4960) != c_Int_OMin) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u4961)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4963)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4963), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4964)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4966)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4966), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4967), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4967)), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I21_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4969))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4969)) )).
% 12.32/12.48 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4970))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__eq__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4973)), c_Int_OBit1(_u4975))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4973), _u4975)) )).
% 12.32/12.48 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4974), _u4976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4974)), c_Int_OBit1(_u4976))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4979)), c_Int_OBit1(_u4981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4979), _u4981)) )).
% 12.32/12.48 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4980), _u4982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4980)), c_Int_OBit1(_u4982))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4984)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4984), c_Int_OPls)) )).
% 12.32/12.48 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4985), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4985)), c_Int_OPls)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4987))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4987)) )).
% 12.32/12.48 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4988))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4991)), c_Int_OBit0(_u4993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4991), _u4993)) )).
% 12.32/12.48 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4992), _u4994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4992)), c_Int_OBit0(_u4994))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4997)), c_Int_OBit0(_u4999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4997), _u4999)) )).
% 12.32/12.48 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4998), _u5000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4998)), c_Int_OBit0(_u5000))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5001)), c_Int_OBit0(_u5002)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5001), _u5002))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5003)), c_Int_OBit1(_u5004)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5003), _u5004))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I3_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5005)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5005))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5006)), c_Int_OBit1(_u5007)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5006), _u5007))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5008)), c_Int_OBit0(_u5009)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5008), _u5009))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5011)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5011), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5012), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5012)), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5014)) )).
% 12.32/12.48 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5015)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5015))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zdiv__number__of__Bit0-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5016))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5017))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5016)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5017))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_neg__number__of__Bit0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5019)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5019))) )).
% 12.32/12.48 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5020))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5020)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u5021)) = c_Int_OBit0(_u5021)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u5022)) = c_Int_OBit1(c_Int_Opred(_u5022))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5023) | ~class_Int_Oring__char__0(_u5023) | ~c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), c_Int_OBit0(_u5024))) | c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), _u5024)) )).
% 12.32/12.48 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u5023) | ~class_Int_Oring__char__0(_u5023) | ~c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), _u5024)) | c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), c_Int_OBit0(_u5024))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u5025)) = c_Int_OBit1(_u5025)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u5026)) = c_Int_OBit0(c_Int_Osucc(_u5026))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5027) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5027), c_Int_OBit0(_u5028)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(c_Int_Onumber__class_Onumber__of(_u5027), _u5028))), hAPP(c_Int_Onumber__class_Onumber__of(_u5027), _u5028))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5031)), c_Int_OBit1(_u5033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5031), _u5033)) )).
% 12.32/12.48 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5032), _u5034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5032)), c_Int_OBit1(_u5034))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5037)), c_Int_OBit1(_u5039))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), _u5039)) )).
% 12.32/12.48 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5038), _u5040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5038)), c_Int_OBit1(_u5040))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5043)), c_Int_OBit0(_u5045))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5043), _u5045)) )).
% 12.32/12.48 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5044), _u5046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5044)), c_Int_OBit0(_u5046))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_less__eq__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5049)), c_Int_OBit0(_u5051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5049), _u5051)) )).
% 12.32/12.48 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5050), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5050)), c_Int_OBit0(_u5052))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5053)), _u5054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5053), _u5054))), _u5054)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I25_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5056)) )).
% 12.32/12.48 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5057))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5059)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5059), c_Int_OMin)) )).
% 12.32/12.48 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5060), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5060)), c_Int_OMin)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u5061)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5061))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5062)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5062))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5063)), c_Int_OBit1(_u5064)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5063)), _u5064))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5065)), c_Int_OBit1(_u5066)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5065), c_Int_Osucc(_u5066)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5067) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5067), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5067), c_Groups_Oone__class_Oone(_u5067)), c_Groups_Oone__class_Oone(_u5067))), hAPP(c_Int_Onumber__class_Onumber__of(_u5067), _u5068)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5067), c_Int_OBit0(_u5068))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_number__of1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5069))) | 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(_u5069)))) )).
% 12.32/12.48 cnf(fact_number__of1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5069))) | 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(_u5069)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u5070) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5070), hAPP(c_Int_Onumber__class_Onumber__of(_u5070), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5071) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5070), _u5071), _u5071)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u5072) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5073), hAPP(c_Int_Onumber__class_Onumber__of(_u5072), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5072), _u5073), _u5073)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u5074) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5074), c_Groups_Oone__class_Oone(_u5074)), c_Groups_Oone__class_Oone(_u5074)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5074), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5075) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5075), c_Groups_Ozero__class_Ozero(_u5075)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5075)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5076) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5076), _u5077), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5076)) | ( _u5077 = c_Groups_Ozero__class_Ozero(_u5076)) )).
% 12.32/12.48 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5076) | ( _u5077 != c_Groups_Ozero__class_Ozero(_u5076)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5076), _u5077), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5076)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_numeral__2__eq__2-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5078) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5078), _u5079), _u5079) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5078), _u5079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u5080) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5080), _u5081), 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(_u5080), _u5081), _u5081)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__2__eq__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5082) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5082))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5083), 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, _u5083))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5084) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5084), c_Groups_Oone__class_Oone(_u5084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5084)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u5085) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5085), hAPP(c_Groups_Ouminus__class_Ouminus(_u5085), _u5086)), 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(_u5085), _u5086), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5087), 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), _u5087), _u5087)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__mult__2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5088) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5088), _u5088)) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5089) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), _u5090), 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)))), _u5091)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), _u5090), _u5091)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_transfer__int__nat__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_transfer__nat__int__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u5092) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5092), hAPP(c_Groups_Oabs__class_Oabs(_u5092), _u5093)), 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(_u5092), _u5093), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5094) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5094), hAPP(hAPP(c_Power_Opower__class_Opower(_u5094), _u5095), 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(_u5094), _u5095), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.32/12.48 cnf(fact_nat__1__add__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.48
% 12.32/12.48 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5096)), 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, _u5096, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5097))), 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), _u5097), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.49 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(_u5098)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5099))) = hAPP(hAPP(c_Groups_Otimes__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), _u5098), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5099)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5100), _u5100)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5100) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5101), c_Groups_Ozero__class_Ozero(_u5101)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5101), _u5102), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5103), hAPP(hAPP(c_Power_Opower__class_Opower(_u5103), _u5104), 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(_u5103), _u5105), 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(_u5103), c_Groups_Ozero__class_Ozero(_u5103)), _u5105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5103), _u5104), _u5105)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5106) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5107), 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(_u5106), _u5108), 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(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), _u5107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), _u5108)) | ( _u5107 = _u5108) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5109), c_Groups_Ozero__class_Ozero(_u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5109), _u5110), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5110 != c_Groups_Ozero__class_Ozero(_u5109)) )).
% 12.32/12.49 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u5109) | ( _u5110 = c_Groups_Ozero__class_Ozero(_u5109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5109), c_Groups_Ozero__class_Ozero(_u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5109), _u5110), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u5111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5111), hAPP(hAPP(c_Power_Opower__class_Opower(_u5111), _u5112), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5111))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5113) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5114 = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.49 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5113) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5115 = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.49 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5113) | ( _u5114 != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5115 != c_Groups_Ozero__class_Ozero(_u5113)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u5116) | ~class_Int_Onumber(_u5116) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5116), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117)), 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(_u5116), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117)), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5118 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5118 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__2-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5119), c_Groups_Oone__class_Oone(_u5119))) )).
% 12.32/12.49 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 != c_Groups_Oone__class_Oone(_u5119)) )).
% 12.32/12.49 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5119), c_Groups_Oone__class_Oone(_u5119))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5121) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), 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)))), _u5123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5121), hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), _u5123)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), _u5123))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u5124) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5124), hAPP(c_Groups_Ouminus__class_Ouminus(_u5124), _u5125)), 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)))), _u5126)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5124), _u5125), 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)))), _u5126))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), hAPP(hAPP(c_Power_Opower__class_Opower(_u5127), _u5128), 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(_u5127), _u5129), 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(_u5127), c_Groups_Ozero__class_Ozero(_u5127)), _u5129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) | ( _u5131 = c_Groups_Ozero__class_Ozero(_u5130)) )).
% 12.32/12.49 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) | ( _u5132 = c_Groups_Ozero__class_Ozero(_u5130)) )).
% 12.32/12.49 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5130) | ( _u5131 != c_Groups_Ozero__class_Ozero(_u5130)) | ( _u5132 != c_Groups_Ozero__class_Ozero(_u5130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5133) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5133), c_Groups_Ozero__class_Ozero(_u5133)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5133), hAPP(hAPP(c_Power_Opower__class_Opower(_u5133), _u5134), 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(_u5133), _u5135), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5136), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5136), hAPP(hAPP(c_Power_Opower__class_Opower(_u5136), _u5137), 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(_u5136), _u5138), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5136))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5139) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5140 != c_Groups_Ozero__class_Ozero(_u5139)) | ( _u5141 != c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.49 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5140 = c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.49 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5141 = c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u5142) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), _u5143), _u5144)), 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(_u5142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), _u5143), 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(_u5142), _u5144), 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(_u5142), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5142), hAPP(c_Int_Onumber__class_Onumber__of(_u5142), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5143)), _u5144))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u5145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5145), _u5146), 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)))), _u5147)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5148) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), 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)))), _u5150))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), _u5150)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), _u5150)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5151) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), _u5152), 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)))), _u5153))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5151), _u5152), hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), _u5152), _u5153)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u5154) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5154), hAPP(c_Groups_Ouminus__class_Ouminus(_u5154), c_Groups_Oone__class_Oone(_u5154))), 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)))), _u5155)) = c_Groups_Oone__class_Oone(_u5154)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5158))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5160))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5158))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5160)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5158))) )).
% 12.32/12.49 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), _u5159))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5161))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5159))) = 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), _u5161)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5159))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5163, 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, _u5163, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5164, 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, _u5164, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5165)) | 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), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u5166) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5166), _u5167), _u5168)), 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(_u5166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5166), hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), _u5167), 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(_u5166), _u5168), 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(_u5166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5166), hAPP(c_Int_Onumber__class_Onumber__of(_u5166), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5167)), _u5168))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5169), _u5170), 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)))), _u5171))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5172), _u5173), c_Groups_Ozero__class_Ozero(_u5172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5172), hAPP(hAPP(c_Power_Opower__class_Opower(_u5172), _u5173), 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)))), _u5174)))), c_Groups_Ozero__class_Ozero(_u5172))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u5175) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5175), hAPP(c_Groups_Ouminus__class_Ouminus(_u5175), c_Groups_Oone__class_Oone(_u5175))), 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)))), _u5176))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5175), c_Groups_Oone__class_Oone(_u5175))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u5177) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5177), hAPP(c_Int_Onumber__class_Onumber__of(_u5177), 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)))), _u5178)) = c_Groups_Oone__class_Oone(_u5177)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5179), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), 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)))), _u5180))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OMin)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5181)) | 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), _u5181), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_int__of__code-1, axiom, ( ( _u5183 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5183) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49 cnf(fact_int__of__code-2, axiom, ( ( _u5184 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5184, 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, _u5184) = hAPP(hAPP(c_Groups_Otimes__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), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.32/12.49 cnf(fact_int__of__code-3, axiom, ( ( _u5184 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5184, 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, _u5184) = 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), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5185) | ~class_Int_Onumber__ring(_u5185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5185), _u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5185), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), _u5186)) )).
% 12.32/12.49 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5185) | ~class_Int_Onumber__ring(_u5185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), _u5186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5185), _u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5185), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5187) | ~class_Int_Onumber__ring(_u5187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5187), c_Groups_Ozero__class_Ozero(_u5187)), _u5188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5187), c_Groups_Ozero__class_Ozero(_u5187)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5187), _u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5187), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-8, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.49 cnf(fact_nat__intermed__int__val-9, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral__zero__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5195) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5195), _u5196), c_Groups_Ozero__class_Ozero(_u5195)) = c_Groups_Ozero__class_Ozero(_u5195)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5197) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), c_Groups_Ozero__class_Ozero(_u5197)), _u5198) = c_Groups_Ozero__class_Ozero(_u5197)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5199) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5199), _u5200), _u5201)), _u5202) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5199), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), _u5200), _u5202)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), _u5201), _u5202))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5203) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5204), _u5205)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5206), _u5207)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), _u5204), _u5206)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), _u5205), _u5207))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5208), _u5210), _u5211)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5210)), _u5211)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5212) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5212), _u5213), _u5214)), _u5215) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5212), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), _u5213), _u5215)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), _u5214), _u5215))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u5216) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5216), _u5217), c_Groups_Oone__class_Oone(_u5216)) = _u5217) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5218) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5218), hAPP(c_Groups_Ouminus__class_Ouminus(_u5218), _u5219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5218), _u5220)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5218), _u5219), _u5220)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5221), _u5222), _u5223)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5221), _u5222), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), _u5223))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5224) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5225), _u5226)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), hAPP(c_Groups_Ouminus__class_Ouminus(_u5224), _u5225)), _u5226)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5227) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5227), _u5228), _u5229)), _u5230) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5227), hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), _u5228), _u5230)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), _u5229), _u5230))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5231) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5231), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5231), _u5232), _u5233)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5231), hAPP(c_Groups_Oabs__class_Oabs(_u5231), _u5232)), hAPP(c_Groups_Oabs__class_Oabs(_u5231), _u5233))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5234) | ~c_Nat__Transfer_Ois__nat(_u5235) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5234), _u5235)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5236)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5237) | ~c_Nat__Transfer_Ois__nat(_u5238) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5237), _u5238)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5239) | ~c_Nat__Transfer_Ois__nat(_u5240) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5239, _u5240)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5241) | ~c_Nat__Transfer_Ois__nat(_u5242) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5241), _u5242)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5243) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5243), _u5244)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.49 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.49 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.49 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.49 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) )).
% 12.32/12.49 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.49 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.49 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.49 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.49 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.49 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), _u5252), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), c_Groups_Ozero__class_Ozero(_u5251)), _u5254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5252), _u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5253), _u5254))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5256), _u5258))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5260), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5262), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5261), _u5262)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5262))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), _u5264), _u5265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5264), _u5266)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5266))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), _u5268), c_Groups_Ozero__class_Ozero(_u5267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), _u5269), c_Groups_Ozero__class_Ozero(_u5267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5268), _u5269))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), _u5271), c_Groups_Ozero__class_Ozero(_u5270))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), c_Groups_Ozero__class_Ozero(_u5270)), _u5272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5271), _u5272)), c_Groups_Ozero__class_Ozero(_u5270))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), c_Groups_Ozero__class_Ozero(_u5273)), _u5274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), _u5275), c_Groups_Ozero__class_Ozero(_u5273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5274), _u5275)), c_Groups_Ozero__class_Ozero(_u5273))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), _u5277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), _u5278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5276), _u5277), _u5278))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.49 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.49 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.49 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.49 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.49 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_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(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.49 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.49 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.49 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.49 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) )).
% 12.32/12.49 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 = c_Groups_Ozero__class_Ozero(_u5285)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) = _u5287) )).
% 12.32/12.49 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 != c_Groups_Ozero__class_Ozero(_u5285)) | ( _u5286 = c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 != c_Groups_Ozero__class_Ozero(_u5285)) | ( _u5286 != c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) != _u5287) | ( _u5288 = c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) != _u5287) | ( _u5286 != c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) != _u5292) | ( _u5291 = c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5290 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) != _u5292) | ( _u5291 != c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5292 = c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5291 != c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5292 != c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) | ( _u5291 = c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) | ( _u5292 != c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5293) | ( _u5294 = c_Groups_Ozero__class_Ozero(_u5293)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5293), _u5295), _u5294)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5293), _u5296), _u5294)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), _u5295), _u5296)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5297) | ( _u5298 = c_Groups_Ozero__class_Ozero(_u5297)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5297), _u5298), _u5299)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5297), _u5298), _u5300)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5297), _u5299), _u5300)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u5301) | ( _u5302 = c_Groups_Ozero__class_Ozero(_u5301)) | ( _u5303 = c_Groups_Ozero__class_Ozero(_u5301)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5304), _u5302) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5305), _u5303)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5304), _u5303) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5305), _u5302)) )).
% 12.32/12.49 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u5301) | ( _u5302 = c_Groups_Ozero__class_Ozero(_u5301)) | ( _u5303 = c_Groups_Ozero__class_Ozero(_u5301)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5304), _u5303) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5305), _u5302)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5304), _u5302) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5305), _u5303)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5306) | ( _u5307 = c_Groups_Ozero__class_Ozero(_u5306)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5306), _u5308), _u5307) != _u5309) | ( _u5308 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5306), _u5309), _u5307)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5310) | ( _u5311 = c_Groups_Ozero__class_Ozero(_u5310)) | ( _u5312 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), _u5313), _u5311)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5310), _u5312), _u5311) = _u5313) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5314) | ( _u5315 = c_Groups_Ozero__class_Ozero(_u5314)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5314), _u5316), _u5315) != _u5317) | ( _u5316 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5314), _u5317), _u5315)) )).
% 12.32/12.49 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5314) | ( _u5315 = c_Groups_Ozero__class_Ozero(_u5314)) | ( _u5316 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5314), _u5317), _u5315)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5314), _u5316), _u5315) = _u5317) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5318) | ( _u5319 = c_Groups_Ozero__class_Ozero(_u5318)) | ( _u5320 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5321), _u5319)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5318), _u5320), _u5319) = _u5321) )).
% 12.32/12.49 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5318) | ( _u5319 = c_Groups_Ozero__class_Ozero(_u5318)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5318), _u5320), _u5319) != _u5321) | ( _u5320 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5321), _u5319)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5322) | ( _u5323 = c_Groups_Ozero__class_Ozero(_u5322)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5323) != c_Groups_Oone__class_Oone(_u5322)) | ( _u5324 = _u5323) )).
% 12.32/12.49 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5322) | ( _u5323 = c_Groups_Ozero__class_Ozero(_u5322)) | ( _u5324 != _u5323) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5323) = c_Groups_Oone__class_Oone(_u5322)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u5325) | ( _u5326 = c_Groups_Ozero__class_Ozero(_u5325)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5326) = c_Groups_Oone__class_Oone(_u5325)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5327) | ( _u5328 != c_Groups_Ozero__class_Ozero(_u5327)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5328) = c_Groups_Ozero__class_Ozero(_u5327)) )).
% 12.32/12.49 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5327) | ( _u5328 = c_Groups_Ozero__class_Ozero(_u5327)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5328) = c_Groups_Oone__class_Oone(_u5327)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5329) | ( _u5330 = c_Groups_Ozero__class_Ozero(_u5329)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), hAPP(c_Groups_Ouminus__class_Ouminus(_u5329), _u5331)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5329), _u5330)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5331), _u5330)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5332) | ( _u5333 = c_Groups_Ozero__class_Ozero(_u5332)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5332), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5334), _u5333)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5334), hAPP(c_Groups_Ouminus__class_Ouminus(_u5332), _u5333))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u5335) | ( _u5336 = c_Groups_Ozero__class_Ozero(_u5335)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5337), _u5336)), _u5338) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), _u5337), _u5338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), _u5336), _u5338))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5339) | ( _u5340 = c_Groups_Ozero__class_Ozero(_u5339)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5339), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), _u5341), _u5340)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), hAPP(c_Groups_Oabs__class_Oabs(_u5339), _u5341)), hAPP(c_Groups_Oabs__class_Oabs(_u5339), _u5340))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5342) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), c_Groups_Oone__class_Oone(_u5342)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5342), _u5343), _u5344)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5342), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), c_Groups_Oone__class_Oone(_u5342)), _u5343)), _u5344)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5345) | ~c_Nat__Transfer_Ois__nat(_u5346) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5345, _u5346)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5347), _u5348), c_Groups_Ozero__class_Ozero(_u5347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5347), _u5349), c_Groups_Ozero__class_Ozero(_u5347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5347), c_Groups_Ozero__class_Ozero(_u5347)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), _u5348), _u5349))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5350), _u5351), c_Groups_Ozero__class_Ozero(_u5350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Ozero__class_Ozero(_u5350)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5350), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), _u5352)), c_Groups_Ozero__class_Ozero(_u5350))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), c_Groups_Ozero__class_Ozero(_u5353)), _u5354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), _u5354), _u5355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5353), c_Groups_Ozero__class_Ozero(_u5353)), _u5356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), _u5356), _u5357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5354), _u5357)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5355), _u5356))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5358), c_Groups_Ozero__class_Ozero(_u5358)), _u5359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), _u5359), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), c_Groups_Ozero__class_Ozero(_u5358)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5358), _u5361), _u5362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5358), _u5359), _u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5358), _u5360), _u5361))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u5363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), c_Groups_Ozero__class_Ozero(_u5363)), _u5364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5363), _u5364), _u5365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), c_Groups_Ozero__class_Ozero(_u5363)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), _u5366), _u5367)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5363), _u5364), _u5367)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5363), _u5365), _u5366))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5368), c_Groups_Ozero__class_Ozero(_u5368)), _u5369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5368), _u5370), c_Groups_Ozero__class_Ozero(_u5368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5368), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5369), _u5370)), c_Groups_Ozero__class_Ozero(_u5368))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5371), _u5372), _u5373))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), _u5375), _u5376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), _u5377), c_Groups_Ozero__class_Ozero(_u5374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), c_Groups_Ozero__class_Ozero(_u5374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5374), _u5375), _u5376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5374), _u5377), _u5375)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5374), _u5377), _u5376))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), _u5379), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), c_Groups_Ozero__class_Ozero(_u5378)), _u5381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), c_Groups_Ozero__class_Ozero(_u5378)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5378), _u5380), _u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5380)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5379))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), _u5383), c_Groups_Ozero__class_Ozero(_u5382))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383)), _u5385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)), _u5384)) )).
% 12.32/12.49 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), _u5383), c_Groups_Ozero__class_Ozero(_u5382))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)), _u5384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383)), _u5385)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5387), c_Groups_Ozero__class_Ozero(_u5386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5388), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5389), _u5387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5388), _u5387))) )).
% 12.32/12.49 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5387), c_Groups_Ozero__class_Ozero(_u5386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5388), _u5387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5388), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5389), _u5387))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), c_Groups_Ozero__class_Ozero(_u5390)), _u5391)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391)), _u5393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), _u5392), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), c_Groups_Ozero__class_Ozero(_u5394)), _u5395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), _u5396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5394), _u5397), _u5395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395)), _u5397)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), c_Groups_Ozero__class_Ozero(_u5398)), _u5399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5398), _u5400), _u5399)), _u5401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5398), _u5401), _u5399))) )).
% 12.32/12.49 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), c_Groups_Ozero__class_Ozero(_u5398)), _u5399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5398), _u5401), _u5399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5398), _u5400), _u5399)), _u5401)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), c_Groups_Ozero__class_Ozero(_u5402)), _u5403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), _u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5405), _u5403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5402), _u5404), _u5403)), _u5405)) )).
% 12.32/12.49 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), c_Groups_Ozero__class_Ozero(_u5402)), _u5403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5402), _u5404), _u5403)), _u5405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), _u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5405), _u5403))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) )).
% 12.32/12.49 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) )).
% 12.32/12.49 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.49 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) )).
% 12.32/12.49 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) )).
% 12.32/12.49 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) )).
% 12.32/12.49 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5415)) )).
% 12.32/12.49 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)), _u5416)) | c_Nat__Transfer_Ois__nat(_u5416) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5417) | ( _u5418 = c_Groups_Ozero__class_Ozero(_u5417)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5419), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), _u5420), _u5418)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5417), _u5419), _u5418))), _u5418)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5421) | ( _u5422 = c_Groups_Ozero__class_Ozero(_u5421)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5423), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5421), _u5424), _u5422)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5421), _u5422), _u5423)), _u5424)), _u5422)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5425) | ( _u5426 = c_Groups_Ozero__class_Ozero(_u5425)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5426)), _u5428) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5425), _u5428), _u5426))), _u5426)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5429) | ( _u5430 = c_Groups_Ozero__class_Ozero(_u5429)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), _u5431), _u5430)), _u5432) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5429), _u5430), _u5432))), _u5430)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5433) | ( _u5434 = c_Groups_Ozero__class_Ozero(_u5433)) | ( _u5435 = c_Groups_Ozero__class_Ozero(_u5433)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5436), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5437), _u5435)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5436), _u5435)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5437), _u5434))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5434), _u5435))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5438) | ( _u5439 = c_Groups_Ozero__class_Ozero(_u5438)) | ( _u5440 = c_Groups_Ozero__class_Ozero(_u5438)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5441), _u5439)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5442), _u5440)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5441), _u5440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5442), _u5439))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5439), _u5440))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5443) | ( _u5444 = c_Groups_Ozero__class_Ozero(_u5443)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5443), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5445), _u5444)), _u5446) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5443), _u5445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5443), _u5444), _u5446))), _u5444)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5447) | ( _u5448 = c_Groups_Ozero__class_Ozero(_u5447)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5447), _u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5450), _u5448)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5448), _u5449)), _u5450)), _u5448)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) = c_Groups_Ozero__class_Ozero(_u5451)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) = _u5453) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) != c_Groups_Ozero__class_Ozero(_u5451)) | ( _u5452 = c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) != c_Groups_Ozero__class_Ozero(_u5451)) | ( _u5452 != c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) != _u5453) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) = c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) != _u5453) | ( _u5452 != c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 = c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) = _u5457) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 != c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 != c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) != _u5457) | ( _u5458 = c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.49 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) != _u5457) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) != hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 = c_Groups_Ozero__class_Ozero(_u5459)) | ( _u5460 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) != hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 != c_Groups_Ozero__class_Ozero(_u5459)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) = c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 != c_Groups_Ozero__class_Ozero(_u5459)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) != c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5460 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) | ( _u5461 = c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5460 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) != c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) != _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) = c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5464 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) != _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) != c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5466 = c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) != c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5466 != c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( _u5464 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) = c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.49 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( _u5464 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) | ( _u5466 != c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5468), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), _u5469)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), c_Groups_Oone__class_Oone(_u5467)), c_Groups_Oone__class_Oone(_u5467)))), _u5469)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5471), _u5472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5470), _u5471), _u5472)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5470), c_Groups_Oone__class_Oone(_u5470)), c_Groups_Oone__class_Oone(_u5470))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5473) | ~class_Int_Onumber__ring(_u5473) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), hAPP(c_Int_Onumber__class_Onumber__of(_u5473), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5473)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5476)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), hAPP(c_Groups_Oabs__class_Oabs(_u5475), _u5477)), _u5476) = hAPP(c_Groups_Oabs__class_Oabs(_u5475), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5476))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5478) | ~class_Int_Onumber__ring(_u5478) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), hAPP(c_Int_Onumber__class_Onumber__of(_u5478), c_Int_OBit1(c_Int_OPls))) = _u5479) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5480) | ~class_Int_Onumber__ring(_u5480) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5480), _u5481), hAPP(c_Int_Onumber__class_Onumber__of(_u5480), c_Int_OBit1(c_Int_OPls))) = _u5481) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5482) | ~class_Int_Onumber__ring(_u5482) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5483), hAPP(c_Int_Onumber__class_Onumber__of(_u5482), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5482), _u5483)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) )).
% 12.32/12.49 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) )).
% 12.32/12.49 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) )).
% 12.32/12.49 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) )).
% 12.32/12.49 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.49 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) )).
% 12.32/12.49 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5492), c_Groups_Ozero__class_Ozero(_u5492)), _u5493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), _u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5492), _u5495), _u5493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5492), _u5494), _u5493)), _u5495)) )).
% 12.32/12.49 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5492), c_Groups_Ozero__class_Ozero(_u5492)), _u5493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5492), _u5494), _u5493)), _u5495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), _u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5492), _u5495), _u5493))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5496), c_Groups_Ozero__class_Ozero(_u5496)), _u5497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5496), _u5498), _u5497)), _u5499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), _u5498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5496), _u5499), _u5497))) )).
% 12.32/12.49 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5496), c_Groups_Ozero__class_Ozero(_u5496)), _u5497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), _u5498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5496), _u5499), _u5497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5496), _u5498), _u5497)), _u5499)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5500), c_Groups_Ozero__class_Ozero(_u5500)), _u5501)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5500), _u5502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5503), _u5501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5500), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5502), _u5501)), _u5503)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5504), c_Groups_Ozero__class_Ozero(_u5504)), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5504), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5504), _u5506), _u5505)), _u5507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5504), _u5506), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5504), _u5507), _u5505))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5508), _u5509), c_Groups_Ozero__class_Ozero(_u5508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5508), _u5511), _u5509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5508), _u5510), _u5509))) )).
% 12.32/12.49 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5508), _u5509), c_Groups_Ozero__class_Ozero(_u5508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5508), _u5510), _u5509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5508), _u5511), _u5509))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5512), _u5513), c_Groups_Ozero__class_Ozero(_u5512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5512), _u5514), _u5513)), _u5515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5512), _u5515), _u5513)), _u5514)) )).
% 12.32/12.49 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5512), _u5513), c_Groups_Ozero__class_Ozero(_u5512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5512), _u5515), _u5513)), _u5514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5512), _u5514), _u5513)), _u5515)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), _u5517), _u5518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), c_Groups_Ozero__class_Ozero(_u5516)), _u5519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), c_Groups_Ozero__class_Ozero(_u5516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5516), _u5518), _u5517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), _u5519), _u5518)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), _u5519), _u5517))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), _u5521), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), _u5523), c_Groups_Ozero__class_Ozero(_u5520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5520), c_Groups_Ozero__class_Ozero(_u5520)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5520), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5520), _u5523), _u5521)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5520), _u5523), _u5522))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) )).
% 12.32/12.49 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u5540) | ( _u5541 = c_Groups_Ozero__class_Ozero(_u5540)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5542), _u5543)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5543), _u5542)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5540), hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), _u5543)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), _u5542))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5544) | ~class_Int_Onumber__ring(_u5544) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5544), hAPP(c_Int_Onumber__class_Onumber__of(_u5544), c_Int_OMin)), _u5545) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5544), c_Groups_Oone__class_Oone(_u5544)), _u5545))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) )).
% 12.32/12.49 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u5564 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5564, _u5566) = _u5566) )).
% 12.32/12.49 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u5565 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5565, _u5567) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5565), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5567))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osize_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5568, _u5569, _u5570, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5569) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u5573, _u5575) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5573), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.32/12.49 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u5573, _u5575) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5575), _u5573)) )).
% 12.32/12.49 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5574), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5576), _u5574)) | ( c_Random_Olog(_u5574, _u5576) = 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(_u5574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5576), _u5574)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u5578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), _u5580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5578), c_Groups_Ozero__class_Ozero(_u5578)), skolem86(_u5580, _u5579, _u5578))) )).
% 12.32/12.49 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u5578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), _u5580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5578), _u5580), skolem86(_u5580, _u5579, _u5578)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5584), _u5586)) | ( c_Random_Ominus__shift(_u5588, _u5584, _u5586) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5588), _u5584)), _u5586)) )).
% 12.32/12.49 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5585), _u5587)) | ( c_Random_Ominus__shift(_u5589, _u5585, _u5587) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5585), _u5587)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_inc__shift__def-1, axiom, ( ( _u5592 != _u5594) | ( c_Random_Oinc__shift(_u5592, _u5594) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49 cnf(fact_inc__shift__def-2, axiom, ( ( _u5593 = _u5595) | ( c_Random_Oinc__shift(_u5593, _u5595) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5595), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 12.32/12.49 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(_u5596)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5596)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5597)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5597)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5598), _u5599) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5598), _u5599)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5602) != c_Code__Numeral_OSuc__code__numeral(_u5604)) | ( _u5602 = _u5604) )).
% 12.32/12.49 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u5603 != _u5605) | ( c_Code__Numeral_OSuc__code__numeral(_u5603) = c_Code__Numeral_OSuc__code__numeral(_u5605)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 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(_u5606)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5607) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5608, _u5609, _u5610, c_Code__Numeral_OSuc__code__numeral(_u5611)) = hAPP(_u5610, _u5611)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 12.32/12.49 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(_u5612)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5612) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5613))) | ~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), _u5613)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)) = 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), _u5613)))) )).
% 12.32/12.49 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), _u5613))) | 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), _u5613)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)), 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), _u5613))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5616), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5618)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5616)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5618)) )).
% 12.32/12.49 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5617), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5617)) = 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), _u5619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5617)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5620, _u5621, _u5622, c_Code__Numeral_OSuc__code__numeral(_u5623)) = hAPP(hAPP(_u5622, _u5623), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5620, _u5621, _u5622, _u5623))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5624), _u5625)) | ( c_Divides_Odivmod__nat(_u5625, _u5624) = 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), _u5625), _u5624)), _u5624))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5625), _u5624), _u5624))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u5627 = 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)), _u5627)) )).
% 12.32/12.49 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)), _u5628)) | ( _u5628 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5631), _u5633)) | ( c_Quickcheck_Obeyond(_u5631, _u5633) = _u5633) )).
% 12.32/12.49 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5632), _u5634)) | ( c_Quickcheck_Obeyond(_u5632, _u5634) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u5635, 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)), _u5635)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u5638) != hAPP(c_Code__Numeral_Oof__nat, _u5640)) | ( _u5638 = _u5640) )).
% 12.32/12.49 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u5639 != _u5641) | ( hAPP(c_Code__Numeral_Oof__nat, _u5639) = hAPP(c_Code__Numeral_Oof__nat, _u5641)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Code__Numeral_Oof__nat__code-1, axiom, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u5642) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5643, _u5642)), _u5644), _u5645) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5642), hAPP(_u5644, _u5645))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u5646) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5647, _u5646)), _u5648), _u5649), _u5650) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5646), hAPP(_u5648, _u5650)), hAPP(_u5649, _u5650))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5653)), _u5655)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5653), _u5655)) )).
% 12.32/12.49 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), _u5654), _u5656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5654)), _u5656)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5657), _u5658)) | ( c_Divides_Odivmod__nat(_u5657, _u5658) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5657)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5659) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5659))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5660), hAPP(c_Nat_OSuc, _u5661)) = 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), _u5660), _u5661))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5662)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5662)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5663)), hAPP(c_Code__Numeral_Oof__nat, _u5664)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5663), _u5664))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u5665, _u5666) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5665), _u5666)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5665, _u5666))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u5667) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5667), _u5668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5669))) = hAPP(hAPP(c_HOL_OLet(_u5667, _u5667), hAPP(hAPP(c_Power_Opower__class_Opower(_u5667), _u5668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5669))), hAPP(hAPP(c_COMBS(_u5667, _u5667, _u5667), c_Groups_Otimes__class_Otimes(_u5667)), c_COMBI(_u5667)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5671))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5671))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u5672, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5673) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5673), hAPP(c_Int_Onumber__class_Onumber__of(_u5673), _u5674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5675))) = hAPP(hAPP(c_HOL_OLet(_u5673, _u5673), hAPP(hAPP(c_Power_Opower__class_Opower(_u5673), hAPP(c_Int_Onumber__class_Onumber__of(_u5673), _u5674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5675))), hAPP(hAPP(c_COMBS(_u5673, _u5673, _u5673), c_Groups_Otimes__class_Otimes(_u5673)), c_COMBI(_u5673)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5678)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5680)), hAPP(c_Int_Onat, _u5678)) = hAPP(c_Int_Onat, _u5680)) )).
% 12.32/12.49 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5679)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5681)), hAPP(c_Int_Onat, _u5679)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5681), _u5679)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5683)) | ( c_Divides_OnegDivAlg(_u5682, _u5683) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5682), _u5683)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5682, _u5683))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5684) = 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), _u5684), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u5685) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5685), _u5686) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5685, hAPP(hAPP(c_COMBC(_u5685, _u5685, _u5685), c_Groups_Oplus__class_Oplus(_u5685)), c_Groups_Oone__class_Oone(_u5685)), _u5686, c_Groups_Ozero__class_Ozero(_u5685))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u5687), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5688), _u5689)) = 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), _u5689), _u5687)), 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)))), _u5688)), 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)))), _u5688)), _u5689)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zero__code__numeral__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_one__code__numeral__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5692)), hAPP(c_Code__Numeral_Oof__nat, _u5694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5692), _u5694)) )).
% 12.32/12.49 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5693), _u5695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5693)), hAPP(c_Code__Numeral_Oof__nat, _u5695))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5698) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5700)) | 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(_u5700))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5698))))) )).
% 12.32/12.49 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(_u5701))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5699))))) | ( hAPP(c_Nat_OSuc, _u5699) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5701)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5704) != hAPP(c_Nat_OSuc, _u5706)) | 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(_u5704))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5706))))) )).
% 12.32/12.49 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(_u5705))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5707))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5705) = hAPP(c_Nat_OSuc, _u5707)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5708, _u5709, _u5710, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5711)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5708), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5711))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5708, _u5708), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5708, tc_fun(_u5708, _u5708)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5708, tc_fun(_u5708, _u5708)), tc_Int_Oint), c_If(_u5708)), c_Nat__Numeral_Oneg)), _u5709)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5708, tc_Int_Oint), _u5710), c_Int_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5712, _u5713, _u5714), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5715)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5712), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5715))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5712, _u5712), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5712, tc_fun(_u5712, _u5712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5712, tc_fun(_u5712, _u5712)), tc_Int_Oint), c_If(_u5712)), c_Nat__Numeral_Oneg)), _u5713)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5712, _u5712), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5712, _u5712), tc_Int_Oint), _u5714), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5712, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5712, _u5713, _u5714)), c_Int_Onat))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5716)), hAPP(c_Code__Numeral_Oof__nat, _u5717)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5716), _u5717))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 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, _u5720)), hAPP(c_Code__Numeral_Oof__nat, _u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5720), _u5722)) )).
% 12.32/12.49 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5721), _u5723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5721)), hAPP(c_Code__Numeral_Oof__nat, _u5723))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5725))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5725)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5726))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5726)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5726)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5729)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5731))) | 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(_u5731))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5729)), c_Int_Onat))))) )).
% 12.32/12.49 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(_u5732))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5730)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5730)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5732))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5735)), hAPP(c_Nat_OSuc, _u5737))) | 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(_u5735))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5737)))) )).
% 12.32/12.49 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(_u5736))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5738)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5736)), hAPP(c_Nat_OSuc, _u5738))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5743))) | 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(_u5743))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5741)), c_Int_Onat))))) )).
% 12.32/12.49 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(_u5744))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5742)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5742)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5744))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5747)), hAPP(c_Nat_OSuc, _u5749))) | 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(_u5747))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5749)))) )).
% 12.32/12.49 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(_u5748))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5750)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5748)), hAPP(c_Nat_OSuc, _u5750))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u5751)), hAPP(c_Code__Numeral_Oof__nat, _u5752)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5751), _u5752))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5753, _u5754, _u5755, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5756)), _u5757)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5753), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5756))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5753, _u5753), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5753, tc_fun(_u5753, _u5753)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5753, tc_fun(_u5753, _u5753)), tc_Int_Oint), c_If(_u5753)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5753, _u5754, _u5755, _u5757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5753, tc_Int_Oint), _u5755), 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)), _u5757))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5761)), _u5762)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5758), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5761))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5758, _u5758), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5758, tc_fun(_u5758, _u5758)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5758, tc_fun(_u5758, _u5758)), tc_Int_Oint), c_If(_u5758)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760), _u5762))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5758, _u5758), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5758, _u5758), tc_Int_Oint), _u5760), 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)), _u5762))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5758, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760)), 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)), _u5762)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5763) | ~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), _u5764))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5764))) = hAPP(hAPP(c_HOL_OLet(_u5763, _u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5764))), hAPP(hAPP(c_COMBS(_u5763, _u5763, _u5763), hAPP(hAPP(c_COMBB(_u5763, tc_fun(_u5763, _u5763), _u5763), c_Groups_Otimes__class_Otimes(_u5763)), hAPP(c_Groups_Otimes__class_Otimes(_u5763), _u5765))), c_COMBI(_u5763)))) )).
% 12.32/12.49 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u5763) | 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), _u5764))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5764))) = c_Groups_Oone__class_Oone(_u5763)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5768))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5770), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5768))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5770), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5768))), 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), _u5770))), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.49 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), _u5769))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5769))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u5774, _u5776) = 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), _u5774), _u5776))) | ~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), _u5774), _u5776))) )).
% 12.32/12.49 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u5774, _u5776) = 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), _u5774), _u5776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5776), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 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), _u5775), _u5777))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5777), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5775, _u5777) = hAPP(c_Divides_Oadjust(_u5777), c_Divides_OnegDivAlg(_u5775, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5777)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5778) | ~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), _u5779))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5779))) = hAPP(hAPP(c_HOL_OLet(_u5778, _u5778), hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5779))), hAPP(hAPP(c_COMBS(_u5778, _u5778, _u5778), hAPP(hAPP(c_COMBB(_u5778, tc_fun(_u5778, _u5778), _u5778), c_Groups_Otimes__class_Otimes(_u5778)), hAPP(c_Groups_Otimes__class_Otimes(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)))), c_COMBI(_u5778)))) )).
% 12.32/12.49 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5778) | 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), _u5779))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5779))) = c_Groups_Oone__class_Oone(_u5778)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5781, _u5782, _u5783, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5782) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5784)) | ~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), _u5785), _u5784))) | ( c_Divides_OnegDivAlg(_u5785, _u5784) = 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), _u5785), _u5784))) )).
% 12.32/12.49 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)), _u5784)) | 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), _u5785), _u5784))) | ( c_Divides_OnegDivAlg(_u5785, _u5784) = hAPP(c_Divides_Oadjust(_u5784), c_Divides_OnegDivAlg(_u5785, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5784)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5786))) | ~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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)) = 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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) )).
% 12.32/12.49 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), _u5786))) | 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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(hAPP(c_Groups_Otimes__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), _u5786))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5790), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5792, _u5790) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5792), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5790))) )).
% 12.32/12.49 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = 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))) | ( _u5793 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = 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))) | ( _u5791 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5793 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5793), _u5791)), 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), _u5793))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5791)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5794))) | ~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), _u5794))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.49 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), _u5794))) | 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), _u5794))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)), 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), _u5794))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u5797, _u5799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5797), _u5799)) )).
% 12.32/12.49 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u5797, _u5799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5799), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5798), _u5800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5800), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5798, _u5800) = hAPP(c_Divides_Oadjust(_u5800), c_Divides_OposDivAlg(_u5798, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5800)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u5801) = 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)), _u5801))))), 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)), _u5801))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5802))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)) = 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), _u5803))) )).
% 12.32/12.49 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), _u5802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(hAPP(c_Groups_Otimes__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), _u5802))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5805), _u5804)) | ( c_Divides_OposDivAlg(_u5805, _u5804) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5805)) )).
% 12.32/12.49 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)), _u5804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5805), _u5804)) | ( c_Divides_OposDivAlg(_u5805, _u5804) = hAPP(c_Divides_Oadjust(_u5804), c_Divides_OposDivAlg(_u5805, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5804)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5806) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5808)) | ( c_Divides_OposDivAlg(_u5807, _u5808) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5807), _u5808)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5807, _u5808))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = c_Groups_Ozero__class_Ozero(_u5809)) )).
% 12.32/12.49 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5809), hAPP(c_Int_Oring__1__class_Oof__int(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5810)))) )).
% 12.32/12.49 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5809), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5809, _u5809)), tc_fun(tc_Int_Oint, _u5809)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5809, _u5809), _u5809), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5809, _u5809)), tc_fun(tc_Int_Oint, _u5809)), tc_Int_Oint), c_COMBB(tc_fun(_u5809, _u5809), _u5809, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5809, tc_fun(tc_fun(_u5809, _u5809), _u5809), tc_Int_Oint), c_HOL_OLet(_u5809, _u5809)), c_Int_Oring__1__class_Oof__int(_u5809)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5809, _u5809), tc_fun(_u5809, _u5809)), hAPP(hAPP(c_COMBB(tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_fun(tc_fun(_u5809, _u5809), tc_fun(_u5809, _u5809)), tc_Int_Oint), c_COMBS(_u5809, _u5809, _u5809)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5809, _u5809), tc_fun(_u5809, tc_fun(_u5809, _u5809))), hAPP(hAPP(c_COMBB(tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_fun(tc_fun(_u5809, _u5809), tc_fun(_u5809, tc_fun(_u5809, _u5809))), tc_Int_Oint), c_COMBB(_u5809, tc_fun(_u5809, _u5809), _u5809)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_Int_Oint), c_If(_u5809)), 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(_u5809, _u5809, _u5809), c_Groups_Oplus__class_Oplus(_u5809)), c_COMBI(_u5809))))), hAPP(hAPP(c_COMBC(_u5809, _u5809, _u5809), hAPP(hAPP(c_COMBB(_u5809, tc_fun(_u5809, _u5809), _u5809), c_Groups_Oplus__class_Oplus(_u5809)), hAPP(hAPP(c_COMBS(_u5809, _u5809, _u5809), c_Groups_Oplus__class_Oplus(_u5809)), c_COMBI(_u5809)))), c_Groups_Oone__class_Oone(_u5809))))), c_Divides_Odivmod__int(_u5810, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u5811) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u5811), c_Natural_Oevalc(_u5811))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5812, _u5813), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5814), _u5815))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5813)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5812), _u5813), 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), _u5816), _u5814)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5815)), _u5813))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5815), _u5813)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5817, _u5818), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5819), _u5820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5821)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5817, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5818), _u5821)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5819), _u5821)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5818), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5819, _u5821))), _u5820)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5822), _u5823))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = 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), _u5822), _u5823))) | ~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), _u5822), _u5823))) )).
% 12.32/12.49 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), _u5822), _u5823))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = 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), _u5822), _u5823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 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), _u5822), _u5823))) | 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), _u5822), _u5823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = hAPP(c_Divides_Oadjust(_u5823), c_Divides_OnegDivAlg(_u5822, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5823)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5824, _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(_u5825, _u5827), _u5826)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5824, _u5825), _u5827)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5833, _u5835), _u5837)) | ~hBOOL(hAPP(hAPP(_u5835, _u5828), _u5837)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5833, _u5835), _u5828)) )).
% 12.32/12.49 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), _u5838)) | hBOOL(hAPP(hAPP(_u5836, skolem87(_u5838, _u5836, _u5834)), _u5838)) )).
% 12.32/12.49 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), _u5838)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), skolem87(_u5838, _u5836, _u5834))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5844, _u5846), _u5848)) | ~hBOOL(hAPP(hAPP(_u5846, _u5839), _u5848)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5844, _u5846), _u5839)) )).
% 12.32/12.49 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), _u5849)) | hBOOL(hAPP(hAPP(_u5847, skolem88(_u5849, _u5847, _u5845)), _u5849)) )).
% 12.32/12.49 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), _u5849)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), skolem88(_u5849, _u5847, _u5845))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5850, _u5851), _u5852)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5850, _u5851), _u5853)) | ( _u5852 = _u5853) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5854, tc_fun(_u5854, tc_HOL_Obool))), _u5855), _u5856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5854, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5854, _u5856)), c_Wellfounded_Oaccp(_u5854, _u5855))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5857, _u5858), _u5859)) | ( c_Divides_Odivmod__nat(_u5857, _u5858) = _u5859) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5860, _u5861), c_Divides_Odivmod__nat(_u5860, _u5861))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5862, _u5863), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5864), _u5865))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5862, _u5863) = _u5865) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5866, _u5867), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5868), _u5869))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5866), _u5867) = _u5868) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5870, _u5871), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5870), _u5871)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5870, _u5871)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u5872, _u5873) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5872), _u5873)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5872, _u5873))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5874, _u5875), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5876), _u5877))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5878, _u5875), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5879), _u5880))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5875)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5874), _u5878), _u5875), 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), _u5876), _u5879)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5877), _u5880)), _u5875))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5877), _u5880), _u5875)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5881), _u5882))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5881), _u5882)) )).
% 12.32/12.49 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), _u5881), _u5882))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5882), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 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), _u5881), _u5882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5881), _u5882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5882), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(c_Divides_Oadjust(_u5882), c_Divides_OposDivAlg(_u5881, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5882)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5883), _u5884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5883), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5884))) )).
% 12.32/12.49 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = 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))) | ( _u5883 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = 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))) | ( _u5884 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5883 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5884 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5883), _u5884)), 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), _u5883))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5884)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_OFrac__def-1, axiom, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u5887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = c_Divides_OposDivAlg(_u5887, _u5889)) )).
% 12.32/12.49 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)), _u5887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( _u5887 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 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)), _u5887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( _u5887 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5887), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5889)))) )).
% 12.32/12.49 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)), _u5888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5890)) | ( c_Divides_Odivmod__int(_u5888, _u5890) = c_Divides_OnegDivAlg(_u5888, _u5890)) )).
% 12.32/12.49 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)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5890)) | ( c_Divides_Odivmod__int(_u5888, _u5890) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5888), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5890)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | 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), skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893)))) )).
% 12.32/12.49 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | 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), skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5895, _u5894, _u5893)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5895, skolem89(_u5895, _u5894, _u5893)), hAPP(hAPP(c_Groups_Otimes__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(_u5895, _u5894, _u5893)))) )).
% 12.32/12.49 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | ~hBOOL(hAPP(hAPP(_u5895, skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5896), _u5897)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5896), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5897))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_splitI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5898, _u5899), _u5900)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5901, _u5902, tc_HOL_Obool), _u5898), hAPP(hAPP(c_Product__Type_OPair(_u5901, _u5902), _u5899), _u5900))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5903, _u5904), _u5905)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5906, _u5907, tc_HOL_Obool), _u5903), hAPP(hAPP(c_Product__Type_OPair(_u5906, _u5907), _u5904), _u5905))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | 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), skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910)))) )).
% 12.32/12.49 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem92(_u5912, _u5911, _u5910)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5912, skolem91(_u5912, _u5911, _u5910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem92(_u5912, _u5911, _u5910)))) )).
% 12.32/12.49 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | ~hBOOL(hAPP(hAPP(_u5912, skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 12.32/12.49 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), _u5913), _u5914))) | ( _u5914 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5913, _u5914) = _u5913) )).
% 12.32/12.49 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), _u5913), _u5914))) | ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5913, _u5914) = c_Nitpick_Onat__gcd(_u5914, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5913, _u5914))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u5917 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5917, _u5919) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u5918 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5920 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5918, _u5920) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5918)) )).
% 12.32/12.49 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u5918 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5920 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5918, _u5920) = 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, _u5920))), 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)), _u5920)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5918))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5920), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u5918, _u5920)), 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), _u5920))))), c_Divides_Opdivmod(_u5918, _u5920))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u5921, _u5922, _u5923, _u5924), hAPP(hAPP(c_Product__Type_OPair(_u5923, _u5921), _u5925), _u5926)) = hAPP(hAPP(c_Product__Type_OPair(_u5923, _u5922), _u5925), hAPP(_u5924, _u5926))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u5936, skolem93(_u5940, _u5938, _u5936))) | hBOOL(hAPP(_u5936, hAPP(hAPP(c_Product__Type_OPair(_u5938, _u5940), _u5929), _u5928))) )).
% 12.32/12.49 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u5937, hAPP(hAPP(c_Product__Type_OPair(_u5939, _u5941), skolem94(_u5941, _u5939, _u5937)), skolem95(_u5941, _u5939, _u5937)))) | hBOOL(hAPP(_u5937, _u5932)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5952), _u5954) != hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5956), _u5958)) | ( _u5952 = _u5956) )).
% 12.32/12.49 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5952), _u5954) != hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5956), _u5958)) | ( _u5954 = _u5958) )).
% 12.32/12.49 cnf(fact_Pair__eq-3, axiom, ( ( _u5953 != _u5957) | ( _u5955 != _u5959) | ( hAPP(hAPP(c_Product__Type_OPair(_u5949, _u5951), _u5953), _u5955) = hAPP(hAPP(c_Product__Type_OPair(_u5949, _u5951), _u5957), _u5959)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5962), _u5963) != hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5964), _u5965)) | ( _u5962 = _u5964) )).
% 12.32/12.49 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5962), _u5963) != hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5964), _u5965)) | ( _u5963 = _u5965) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negateSnd__def-1, axiom, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__weak__cong-1, axiom, ( ( _u5966 != _u5967) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5968, _u5969, _u5970), _u5971), _u5966) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5968, _u5969, _u5970), _u5971), _u5967)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5972, _u5973, _u5974), _u5975), hAPP(hAPP(c_Product__Type_OPair(_u5972, _u5973), _u5976), _u5977)) = hAPP(hAPP(_u5975, _u5976), _u5977)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5978, _u5979, _u5980), _u5981), hAPP(hAPP(c_Product__Type_OPair(_u5978, _u5979), _u5982), _u5983)) = hAPP(hAPP(_u5981, _u5982), _u5983)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_splitD ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u5986, _u5987), _u5988)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5984, _u5985, tc_HOL_Obool), _u5986), hAPP(hAPP(c_Product__Type_OPair(_u5984, _u5985), _u5987), _u5988))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u5989, _u5990, _u5991), hAPP(hAPP(c_COMBB(tc_fun(_u5990, tc_prod(_u5989, _u5990)), tc_fun(_u5990, _u5991), _u5989), hAPP(c_COMBB(tc_prod(_u5989, _u5990), _u5991, _u5990), _u5992)), c_Product__Type_OPair(_u5989, _u5990))) = _u5992) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5993, _u5994, _u5995), _u5996), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5997, _u5998, tc_prod(_u5993, _u5994)), _u5999), _u6000)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5997, _u5998, _u5995), hAPP(hAPP(c_COMBB(tc_fun(_u5998, tc_prod(_u5993, _u5994)), tc_fun(_u5998, _u5995), _u5997), hAPP(c_COMBB(tc_prod(_u5993, _u5994), _u5995, _u5998), hAPP(c_Product__Type_Oprod_Oprod__case(_u5993, _u5994, _u5995), _u5996))), _u5999)), _u6000)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u6001, _u6002) = 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), _u6001)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6002))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6001), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6002)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u6005 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6007, _u6005) = 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), _u6007))) )).
% 12.32/12.49 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u6006 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6008, _u6006) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6008), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6006))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__code-1, axiom, ( ( _u6011 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6011, _u6013) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_divmod__int__code-2, axiom, ( ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6014 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6012, _u6014) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6012)) )).
% 12.32/12.49 cnf(fact_divmod__int__code-3, axiom, ( ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6014 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6012, _u6014) = 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, _u6014))), 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, _u6012)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6014))), c_Divides_Opdivmod(_u6012, _u6014)), 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), _u6014))))), c_Divides_Opdivmod(_u6012, _u6014))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u6015, _u6016) = 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), _u6015), _u6016)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6015, _u6016))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6017, _u6018), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6019), _u6020))) | ( _u6018 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6021)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6017, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6018), _u6021)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6019), _u6021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6018), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6019, _u6021))), _u6020)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6022)), 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), _u6022)) = 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), _u6022)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u6023, _u6024) = 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, _u6023))), 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), _u6024)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6024))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6024))))), 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)), _u6024)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6024))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | 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), skolem96(_u6029, _u6028, _u6027)), skolem97(_u6029, _u6028, _u6027)))) )).
% 12.32/12.49 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem97(_u6029, _u6028, _u6027)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6029, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem96(_u6029, _u6028, _u6027))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem97(_u6029, _u6028, _u6027)))) )).
% 12.32/12.49 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | ~hBOOL(hAPP(hAPP(_u6029, skolem96(_u6029, _u6028, _u6027)), skolem97(_u6029, _u6028, _u6027))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u6033, _u6034), _u6035), _u6036)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6030, _u6031, tc_fun(_u6032, tc_HOL_Obool)), _u6033), hAPP(hAPP(c_Product__Type_OPair(_u6030, _u6031), _u6034), _u6035)), _u6036)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6037, _u6038), hAPP(hAPP(c_Product__Type_OPair(_u6037, _u6038), _u6039), _u6040)) = _u6040) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_snd__eqD-1, axiom, ( ( _u6044 = _u6045) | ( hAPP(c_Product__Type_Osnd(_u6041, _u6042), hAPP(hAPP(c_Product__Type_OPair(_u6041, _u6042), _u6043), _u6044)) != _u6045) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6052, _u6054, _u6056, _u6058), _u6060) != hAPP(c_Product__Type_Oapsnd(_u6052, _u6054, _u6056, _u6062), _u6060)) | ( hAPP(_u6058, hAPP(c_Product__Type_Osnd(_u6056, _u6052), _u6060)) = hAPP(_u6062, hAPP(c_Product__Type_Osnd(_u6056, _u6052), _u6060))) )).
% 12.32/12.49 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u6059, hAPP(c_Product__Type_Osnd(_u6057, _u6053), _u6061)) != hAPP(_u6063, hAPP(c_Product__Type_Osnd(_u6057, _u6053), _u6061))) | ( hAPP(c_Product__Type_Oapsnd(_u6053, _u6055, _u6057, _u6059), _u6061) = hAPP(c_Product__Type_Oapsnd(_u6053, _u6055, _u6057, _u6063), _u6061)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6064, _u6065), hAPP(c_Product__Type_Oapsnd(_u6066, _u6065, _u6064, _u6067), _u6068)) = hAPP(_u6067, hAPP(c_Product__Type_Osnd(_u6064, _u6066), _u6068))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6069, _u6070), _u6071) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6069, _u6070, _u6070), hAPP(c_COMBK(tc_fun(_u6070, _u6070), _u6069), c_COMBI(_u6070))), _u6071)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6072, _u6073) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6072, _u6073))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u6074 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6074), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6075, _u6075), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6076), _u6077))) | ( _u6075 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6077 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6078, _u6079), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6080), _u6081))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6078, _u6079), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6082), _u6083))) | ( _u6079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6080 = _u6082) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6084, _u6085), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6086), _u6087))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6084, _u6085), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6088), _u6089))) | ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 = _u6089) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6090), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6091)), _u6092)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, _u6091), hAPP(c_Divides_OnegateSnd, _u6092))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__correct-1, axiom, ( ( _u6093 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6094, _u6093), c_Divides_Odivmod__int(_u6094, _u6093))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6095, _u6095), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6096), _u6097))) | ( _u6095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6096 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6098, _u6099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6100), _u6101))) | ( _u6099 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6098, _u6099) = _u6101) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6102, _u6103), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6104), _u6105))) | ( _u6103 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6102), _u6103) = _u6104) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6107)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6106, _u6107), c_Divides_OnegDivAlg(_u6106, _u6107))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6108), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6109)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6108, _u6109) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6108, _u6109))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u6110 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6111, _u6110), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6111), _u6110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6111, _u6110)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u6112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6113)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6112, _u6113), c_Divides_OposDivAlg(_u6112, _u6113))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u6114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6115)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6114, _u6115) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6114, _u6115))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6116))) | ( 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), _u6116)) = 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), _u6116)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6117, _u6118), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6119), _u6120))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6121, _u6118), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6122), _u6123))) | ( _u6118 = 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), _u6117), _u6121), _u6118), 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), _u6119), _u6122)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6120), _u6123)), _u6118))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6120), _u6123), _u6118)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6124, _u6125), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6126), _u6127))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6124), _u6125), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6127), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6126)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6126)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6127), 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), _u6125), _u6127))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u6128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6128, _u6129) = 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), _u6128), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6129))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u6134, _u6132) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134)) | ( _u6132 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u6134, _u6132) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6134), _u6132)) )).
% 12.32/12.49 cnf(fact_divmod__nat__if-3, axiom, ( ( _u6133 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6135), _u6133)) | ( c_Divides_Odivmod__nat(_u6135, _u6133) = 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), _u6135), _u6133), _u6133))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__int__relI-1, axiom, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6137), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6139), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_divmod__int__relI-2, axiom, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6139), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6137)) )).
% 12.32/12.49 cnf(fact_divmod__int__relI-3, axiom, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6139), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6137), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6139), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6140), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6140, _u6141) = 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), _u6140), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6141))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6142, _u6143), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6144), _u6145))) | ( _u6143 = 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), _u6146), _u6142), _u6143), 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), _u6146), _u6144)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6146), _u6145)), _u6143))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6146), _u6145), _u6143)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6147, tc_HOL_Obool)), _u6148), _u6149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6147, tc_HOL_Obool)), _u6149), _u6148)) | ( _u6148 = _u6149) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6150)), 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), _u6150)) = 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), _u6150)))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | 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), skolem98(_u6155, _u6154, _u6153)), skolem99(_u6155, _u6154, _u6153)))) )).
% 12.32/12.49 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | ( skolem99(_u6155, _u6154, _u6153) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6155, skolem99(_u6155, _u6154, _u6153)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem98(_u6155, _u6154, _u6153), skolem99(_u6155, _u6154, _u6153)))) )).
% 12.32/12.49 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | ~hBOOL(hAPP(hAPP(_u6155, skolem98(_u6155, _u6154, _u6153)), skolem99(_u6155, _u6154, _u6153))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6156), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6156), _u6157) = 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), _u6156), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6157))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6158)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6159)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6159))), 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), _u6158)), c_Int_Onat))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6160) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6161), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6162)), hAPP(c_Nat_OSuc, _u6163)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6162), _u6163))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6165), _u6167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6166), _u6167)) )).
% 12.32/12.49 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6165), _u6167)) )).
% 12.32/12.49 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6166), _u6167)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u6168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6168), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6169), _u6170)), _u6169)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u6171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6171), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6172), _u6173)), _u6173)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u6174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6174), _u6175), _u6176)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6176) = _u6175) )).
% 12.32/12.49 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u6174) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6176) != _u6175) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6174), _u6175), _u6176)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6179)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6180)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6181), _u6182), _u6183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6181), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6181), _u6182), _u6184)), _u6183)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6185), _u6186), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6185), _u6188), _u6186)), _u6187)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6189), _u6190), _u6191)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6189), _u6190), _u6191) = _u6190) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6193), _u6194)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6193) = _u6193) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u6195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), _u6197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), _u6198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6195), _u6197), _u6198))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u6199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), _u6201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), _u6202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6199), _u6201), _u6202))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), _u6204), _u6205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), _u6206), _u6207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6203), _u6204), _u6206)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6203), _u6205), _u6207))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6208), _u6210), _u6211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6210)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6208), _u6210), _u6211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6211)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6212) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6212), _u6213), _u6214)), _u6215) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6212), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), _u6213), _u6215)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), _u6214), _u6215))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6216), _u6217), _u6218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6216), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6216), _u6217), _u6219)), _u6218)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6220), _u6221), _u6222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6220), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6220), _u6223), _u6221)), _u6222)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6225), _u6227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6226), _u6227)) )).
% 12.32/12.49 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6225), _u6227)) )).
% 12.32/12.49 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6226), _u6227)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6230)) )).
% 12.32/12.49 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6231)) )).
% 12.32/12.49 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6232) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6232), _u6233), _u6234)), _u6235) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6234), _u6235))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6236) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6237), _u6238)), _u6239) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6237), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6238), _u6239))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6240) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6241), _u6242)), _u6243) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6242), _u6243))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6244) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6245), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6246), _u6247)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6246), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6245), _u6247))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6248) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6249), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), _u6251)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6249), _u6251))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6252) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), _u6254)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), _u6254)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), _u6257)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), _u6257)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6258) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6258), _u6259), _u6260) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6258), _u6260), _u6259)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6261), _u6262), _u6263) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6261), _u6263), _u6262)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6264) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6264), _u6265), _u6265) = _u6265) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6266), _u6267)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6268), _u6267)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6266), _u6268)), _u6267)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fst__eqD-1, axiom, ( ( _u6271 = _u6273) | ( hAPP(c_Product__Type_Ofst(_u6269, _u6270), hAPP(hAPP(c_Product__Type_OPair(_u6269, _u6270), _u6271), _u6272)) != _u6273) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6274, _u6275), hAPP(hAPP(c_Product__Type_OPair(_u6274, _u6275), _u6276), _u6277)) = _u6276) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6278, _u6279), _u6280) != hAPP(c_Product__Type_Ofst(_u6278, _u6279), _u6281)) | ( hAPP(c_Product__Type_Osnd(_u6278, _u6279), _u6280) != hAPP(c_Product__Type_Osnd(_u6278, _u6279), _u6281)) | ( _u6280 = _u6281) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u6286 != _u6288) | ( hAPP(c_Product__Type_Ofst(_u6290, _u6292), _u6286) = hAPP(c_Product__Type_Ofst(_u6290, _u6292), _u6288)) )).
% 12.32/12.49 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u6286 != _u6288) | ( hAPP(c_Product__Type_Osnd(_u6290, _u6292), _u6286) = hAPP(c_Product__Type_Osnd(_u6290, _u6292), _u6288)) )).
% 12.32/12.49 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6291, _u6293), _u6287) != hAPP(c_Product__Type_Ofst(_u6291, _u6293), _u6289)) | ( hAPP(c_Product__Type_Osnd(_u6291, _u6293), _u6287) != hAPP(c_Product__Type_Osnd(_u6291, _u6293), _u6289)) | ( _u6287 = _u6289) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6294, _u6295), hAPP(c_Product__Type_Oapsnd(_u6296, _u6295, _u6294, _u6297), _u6298)) = hAPP(c_Product__Type_Ofst(_u6294, _u6296), _u6298)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6299, _u6300), _u6301) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6299, _u6300, _u6299), c_COMBK(_u6299, _u6300)), _u6301)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u6302) | ~class_Orderings_Oord(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)) )).
% 12.32/12.49 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u6302) | ~class_Orderings_Oord(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_surjective__pairing-1, axiom, ( ( _u6305 = hAPP(hAPP(c_Product__Type_OPair(_u6306, _u6307), hAPP(c_Product__Type_Ofst(_u6306, _u6307), _u6305)), hAPP(c_Product__Type_Osnd(_u6306, _u6307), _u6305))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6308, _u6309), hAPP(c_Product__Type_Ofst(_u6308, _u6309), _u6310)), hAPP(c_Product__Type_Osnd(_u6308, _u6309), _u6310)) = _u6310) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6311, _u6312, _u6313), _u6314), _u6315) = hAPP(hAPP(_u6314, hAPP(c_Product__Type_Ofst(_u6311, _u6312), _u6315)), hAPP(c_Product__Type_Osnd(_u6311, _u6312), _u6315))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6316), _u6317) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6316, _u6317))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6318, _u6319) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6318, _u6319))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6320, _u6321, _u6322), _u6323), _u6324) = hAPP(hAPP(_u6323, hAPP(c_Product__Type_Ofst(_u6320, _u6321), _u6324)), hAPP(c_Product__Type_Osnd(_u6320, _u6321), _u6324))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6325, _u6326), _u6326, _u6327), hAPP(hAPP(c_COMBB(_u6328, tc_fun(_u6326, _u6327), tc_prod(_u6325, _u6326)), _u6329), hAPP(hAPP(c_COMBB(_u6325, _u6328, tc_prod(_u6325, _u6326)), _u6330), c_Product__Type_Ofst(_u6325, _u6326)))), c_Product__Type_Osnd(_u6325, _u6326)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6325, _u6326, _u6327), hAPP(hAPP(c_COMBB(_u6328, tc_fun(_u6326, _u6327), _u6325), _u6329), _u6330))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6331, _u6332, _u6333), _u6334), _u6335) = hAPP(hAPP(_u6334, hAPP(c_Product__Type_Ofst(_u6331, _u6332), _u6335)), hAPP(c_Product__Type_Osnd(_u6331, _u6332), _u6335))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6336, tc_HOL_Obool)), _u6337), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6336, tc_HOL_Obool)), _u6338), _u6339)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6336, tc_HOL_Obool)), _u6338), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6336, tc_HOL_Obool)), _u6339), _u6337)) = _u6337) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), _u6343), _u6344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6344)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6342), _u6343))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6345, tc_HOL_Obool)), _u6346), _u6347)), _u6346)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6348, tc_HOL_Obool)), _u6349), _u6350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6348, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6348, tc_HOL_Obool)), _u6350)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6348, tc_HOL_Obool)), _u6349))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6354, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6354, tc_HOL_Obool)), _u6356)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6354, tc_HOL_Obool)), _u6358))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6354, tc_HOL_Obool)), _u6358), _u6356)) )).
% 12.32/12.49 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6355, tc_HOL_Obool)), _u6359), _u6357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6355, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6355, tc_HOL_Obool)), _u6357)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6355, tc_HOL_Obool)), _u6359))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_equalityE-1, axiom, ( ( _u6360 != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6362, tc_HOL_Obool)), _u6360), _u6361)) )).
% 12.32/12.49 cnf(fact_equalityE-2, axiom, ( ( _u6360 != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6362, tc_HOL_Obool)), _u6361), _u6360)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6364), _u6365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6365), _u6366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6364), _u6366)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_equalityD2-1, axiom, ( ( _u6367 != _u6368) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6369, tc_HOL_Obool)), _u6368), _u6367)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_equalityD1-1, axiom, ( ( _u6370 != _u6371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6372, tc_HOL_Obool)), _u6370), _u6371)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_set__eq__subset-1, axiom, ( ( _u6376 != _u6378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6380, tc_HOL_Obool)), _u6376), _u6378)) )).
% 12.32/12.49 cnf(fact_set__eq__subset-2, axiom, ( ( _u6376 != _u6378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6380, tc_HOL_Obool)), _u6378), _u6376)) )).
% 12.32/12.49 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6381, tc_HOL_Obool)), _u6377), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6381, tc_HOL_Obool)), _u6379), _u6377)) | ( _u6377 = _u6379) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6382, tc_HOL_Obool)), _u6383), _u6383)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6384, tc_HOL_Obool)), _u6385), _u6386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6384, tc_HOL_Obool)), _u6386), _u6387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6384, tc_HOL_Obool)), _u6385), _u6387)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6388, tc_HOL_Obool)), _u6389), _u6390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6388, tc_HOL_Obool)), _u6390), _u6391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6388, tc_HOL_Obool)), _u6389), _u6391)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6392, tc_HOL_Obool)), _u6393), _u6394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6392, tc_HOL_Obool)), _u6393), _u6394)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6398, tc_HOL_Obool)), _u6400), _u6402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6398, tc_HOL_Obool)), _u6400), _u6402)) | ( _u6400 = _u6402) )).
% 12.32/12.49 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) )).
% 12.32/12.49 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) | ( _u6401 != _u6403) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) )).
% 12.32/12.49 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) | ( _u6409 != _u6411) )).
% 12.32/12.49 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412)) | ( _u6410 = _u6412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6413)), _u6414) = 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), _u6413)), _u6414)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6415), hAPP(c_Nat_OSuc, _u6416)) = 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)), _u6416)), _u6415)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6417), _u6418) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6417, _u6418))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u6419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6420)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6419), _u6420) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6419, _u6420))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6421))) | ( 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), _u6421)) = 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), _u6421)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u6422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6422), _u6423) = 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), _u6422), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6423))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6424)), hAPP(c_Nat_OSuc, _u6425)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6424))), 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)), _u6425))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u6426, _u6427, _u6428, _u6429, _u6430) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6428, hAPP(c_Product__Type_Ofst(_u6426, _u6427), _u6430))), hAPP(_u6429, hAPP(c_Product__Type_Osnd(_u6426, _u6427), _u6430)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u6431, _u6432)) | ~hBOOL(hAPP(_u6433, _u6434)) | hBOOL(hAPP(_u6431, hAPP(c_Product__Type_Ofst(_u6435, _u6436), hAPP(hAPP(c_Product__Type_OPair(_u6435, _u6436), _u6432), _u6434)))) )).
% 12.32/12.49 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u6431, _u6432)) | ~hBOOL(hAPP(_u6433, _u6434)) | hBOOL(hAPP(_u6433, hAPP(c_Product__Type_Osnd(_u6435, _u6436), hAPP(hAPP(c_Product__Type_OPair(_u6435, _u6436), _u6432), _u6434)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6437, _u6438), _u6439)) | hBOOL(hAPP(hAPP(_u6437, hAPP(c_Product__Type_Osnd(_u6440, _u6441), hAPP(hAPP(c_Product__Type_OPair(_u6440, _u6441), _u6439), _u6438))), hAPP(c_Product__Type_Ofst(_u6440, _u6441), hAPP(hAPP(c_Product__Type_OPair(_u6440, _u6441), _u6439), _u6438)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u6442) | ( c_Orderings_Oord__class_Omin(_u6442) = c_Orderings_Oord_Omin(_u6442, c_Orderings_Oord__class_Oless__eq(_u6442))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u6443, _u6444, _u6445, _u6446, hAPP(hAPP(c_Product__Type_OPair(_u6443, _u6444), _u6447), _u6448)) = hAPP(hAPP(_u6446, _u6447), _u6448)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u6454 = _u6456) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6452, tc_HOL_Obool)), _u6454) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6452, tc_HOL_Obool)), _u6456)) )).
% 12.32/12.49 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u6455 != _u6457) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6453, tc_HOL_Obool)), _u6455) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6453, tc_HOL_Obool)), _u6457)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6458, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6458, tc_HOL_Obool)), _u6459)) = _u6459) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), _u6461), _u6462)), _u6462) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), _u6461), _u6462)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6464), _u6465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6465), _u6466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6464), _u6466)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6467), _u6468) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6467, _u6468))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6472 = 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), _u6476)), _u6474)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6476) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | 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), _u6476))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476)), _u6474)) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6475 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) )).
% 12.32/12.49 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_range ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_range-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u6478)) | 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(_u6478), _u6479))), _u6478)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6480), _u6481) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6480, 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)))), _u6481)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6482)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6483)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6483))), 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, _u6482))), 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), _u6482)), c_Int_Onat))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6484)), hAPP(c_Nat_OSuc, _u6485)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6484))), 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, _u6485))), 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)), _u6485))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6486, _u6487, _u6488, _u6489), hAPP(c_Product__Type_Oapfst(_u6490, _u6488, _u6486, _u6491), _u6492)) = hAPP(hAPP(c_Product__Type_OPair(_u6488, _u6487), hAPP(_u6491, hAPP(c_Product__Type_Ofst(_u6490, _u6486), _u6492))), hAPP(_u6489, hAPP(c_Product__Type_Osnd(_u6490, _u6486), _u6492)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6493) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6493), _u6494), _u6495)), _u6496) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), _u6494), _u6496)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), _u6495), _u6496))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6500)) )).
% 12.32/12.49 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6497) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6499)) )).
% 12.32/12.49 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6497) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6500)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6502), _u6504)) )).
% 12.32/12.49 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) )).
% 12.32/12.49 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6502), _u6504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), _u6506), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), _u6506), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6505), _u6508), _u6507))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), _u6510), _u6511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), _u6510), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6509), _u6511), _u6512))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6513) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6513), _u6514), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6513), _u6514), _u6515)) = _u6514) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6516) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6516), _u6517), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6516), _u6517), _u6518)) = _u6517) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6519) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6519), _u6521), _u6522)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), _u6521)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), _u6522))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6523) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6523), _u6525), _u6526)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6523), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), _u6525)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), _u6526))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6527) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6527), _u6528), _u6529)), _u6530) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6527), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), _u6528), _u6530)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), _u6529), _u6530))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6531) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6531), _u6532), _u6533)), _u6534) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6531), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), _u6532), _u6534)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), _u6533), _u6534))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6535) = _u6535) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6536), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6536) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6537)), hAPP(c_Nat_OSuc, _u6538)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6537), _u6538))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6542)) )).
% 12.32/12.49 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6541)) )).
% 12.32/12.49 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6542)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u6543) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6543), _u6544), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6543), _u6544), _u6545))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u6546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6546), _u6547), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6546), _u6548), _u6547))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u6549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6550), _u6551)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6549), _u6550), _u6551) = _u6551) )).
% 12.32/12.49 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u6549) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6549), _u6550), _u6551) != _u6551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6550), _u6551)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6553), _u6555)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6554), _u6555)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6553), _u6555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6554), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6556), _u6557), _u6558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6556), _u6557), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6556), _u6558), _u6559))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), _u6562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6560), _u6563), _u6562))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6564), _u6565), _u6566)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6564), _u6565), _u6566) = _u6566) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6568), _u6569)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6567), _u6569), _u6568) = _u6569) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u6570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), _u6571), _u6572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), _u6573), _u6572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6570), _u6571), _u6573)), _u6572)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u6574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), _u6575), _u6576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), _u6577), _u6576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6574), _u6575), _u6577)), _u6576)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), _u6579), _u6580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), _u6581), _u6582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6578), _u6579), _u6581)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6578), _u6580), _u6582))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u6583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6583), _u6584), _u6585)), _u6586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), _u6584), _u6586)) )).
% 12.32/12.49 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u6583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6583), _u6584), _u6585)), _u6586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), _u6585), _u6586)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6587), _u6588), _u6589)), _u6590) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), _u6588), _u6590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), _u6589), _u6590))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6591) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6592), _u6593)), _u6594) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6593), _u6594))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6595) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6596), _u6597)), _u6598) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6596), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6597), _u6598))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6599) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6600), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6601), _u6602)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6600), _u6602))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6603) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6605), _u6606)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6604), _u6606))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6607) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), _u6609)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), _u6609)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6610) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), _u6612)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), _u6612)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6613) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6613), _u6614), _u6615) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6613), _u6615), _u6614)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6616) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6617), _u6618) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6618), _u6617)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6619) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6619), _u6620), _u6620) = _u6620) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6621, _u6622, _u6623, _u6624), hAPP(hAPP(c_Product__Type_OPair(_u6621, _u6623), _u6625), _u6626)) = hAPP(hAPP(c_Product__Type_OPair(_u6622, _u6623), hAPP(_u6624, _u6625)), _u6626)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6633, _u6635, _u6637, _u6639), _u6641) != hAPP(c_Product__Type_Oapfst(_u6633, _u6635, _u6637, _u6643), _u6641)) | ( hAPP(_u6639, hAPP(c_Product__Type_Ofst(_u6633, _u6637), _u6641)) = hAPP(_u6643, hAPP(c_Product__Type_Ofst(_u6633, _u6637), _u6641))) )).
% 12.32/12.49 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u6640, hAPP(c_Product__Type_Ofst(_u6634, _u6638), _u6642)) != hAPP(_u6644, hAPP(c_Product__Type_Ofst(_u6634, _u6638), _u6642))) | ( hAPP(c_Product__Type_Oapfst(_u6634, _u6636, _u6638, _u6640), _u6642) = hAPP(c_Product__Type_Oapfst(_u6634, _u6636, _u6638, _u6644), _u6642)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6645, _u6646), hAPP(c_Product__Type_Oapfst(_u6647, _u6645, _u6646, _u6648), _u6649)) = hAPP(_u6648, hAPP(c_Product__Type_Ofst(_u6647, _u6646), _u6649))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6650, _u6651), hAPP(c_Product__Type_Oapfst(_u6652, _u6650, _u6651, _u6653), _u6654)) = hAPP(c_Product__Type_Osnd(_u6652, _u6651), _u6654)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u6655) | ~class_Orderings_Oord(_u6655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) )).
% 12.32/12.49 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u6655) | ~class_Orderings_Oord(_u6655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u6658) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), _u6660)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), _u6661))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), _u6660), _u6661)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u6662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6662), _u6664), _u6665))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6664)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6665)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6666) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6666), _u6667), _u6668)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6666), hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), _u6667)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), _u6668))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6669) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6669), _u6670), _u6671)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6669), hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), _u6670)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), _u6671))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6672), _u6673)), _u6673) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6672), _u6673)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6674, _u6675, _u6676, _u6677), hAPP(c_Product__Type_Oapfst(_u6678, _u6676, _u6674, _u6679), _u6680)) = hAPP(c_Product__Type_Oapfst(_u6678, _u6676, _u6675, _u6679), hAPP(c_Product__Type_Oapsnd(_u6674, _u6675, _u6678, _u6677), _u6680))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6681)), _u6682) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6681), 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), _u6681)), _u6682)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6683), hAPP(c_Nat_OSuc, _u6684)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6684), 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)), _u6684)), _u6683)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6685, _u6686, _u6687, _u6688), hAPP(c_Product__Type_Oapsnd(_u6689, _u6687, _u6685, _u6690), _u6691)) = hAPP(hAPP(c_Product__Type_OPair(_u6686, _u6687), hAPP(_u6688, hAPP(c_Product__Type_Ofst(_u6685, _u6689), _u6691))), hAPP(_u6690, hAPP(c_Product__Type_Osnd(_u6685, _u6689), _u6691)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u6692) | ( c_Orderings_Oord_Omin(_u6692, hAPP(c_COMBC(_u6692, _u6692, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6692))) = c_Orderings_Oord__class_Omax(_u6692)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u6693) | ( c_Orderings_Oord__class_Omax(_u6693) = c_Orderings_Oord_Omax(_u6693, c_Orderings_Oord__class_Oless__eq(_u6693))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral__decr-1, axiom, ( ( _u6694 = 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, _u6694)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6694))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u6695) = c_Nitpick_OAbs__Frac(_u6695, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6696, _u6697, _u6698, _u6699) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6696, _u6697), _u6698), _u6699))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6702) != hAPP(c_Code__Numeral_Onat__of, _u6704)) | ( _u6702 = _u6704) )).
% 12.32/12.49 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u6703 != _u6705) | ( hAPP(c_Code__Numeral_Onat__of, _u6703) = hAPP(c_Code__Numeral_Onat__of, _u6705)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6708) != hAPP(c_Code__Numeral_Onat__of, _u6710)) | ( _u6708 = _u6710) )).
% 12.32/12.49 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u6709 != _u6711) | ( hAPP(c_Code__Numeral_Onat__of, _u6709) = hAPP(c_Code__Numeral_Onat__of, _u6711)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6712)) = _u6712) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6713)) = _u6713) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6714)) = _u6714) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6717), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6717)), hAPP(c_Code__Numeral_Onat__of, _u6719))) )).
% 12.32/12.49 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, _u6718)), hAPP(c_Code__Numeral_Onat__of, _u6720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6718), _u6720)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 12.32/12.49 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), _u6721)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6721)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6724), _u6726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6724)), hAPP(c_Code__Numeral_Onat__of, _u6726))) )).
% 12.32/12.49 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, _u6725)), hAPP(c_Code__Numeral_Onat__of, _u6727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6725), _u6727)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6728) = c_Code__Numeral_Onat__of__aux(_u6728, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u6729, _u6730) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6729)), _u6730)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6731) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6732), _u6732) = _u6732) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6733) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6733), _u6734), _u6734) = _u6734) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u6735) | ( c_Orderings_Oord_Omax(_u6735, hAPP(c_COMBC(_u6735, _u6735, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6735))) = c_Orderings_Oord__class_Omin(_u6735)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u6736) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6736)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6737), _u6738) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6737)), hAPP(c_Code__Numeral_Onat__of, _u6738)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6739), _u6740) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6739)), hAPP(c_Code__Numeral_Onat__of, _u6740)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6741), _u6742) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6741)), hAPP(c_Code__Numeral_Onat__of, _u6742)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6743), _u6744) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6743)), hAPP(c_Code__Numeral_Onat__of, _u6744)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6745, _u6746) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6745), hAPP(c_Code__Numeral_Onat__of, _u6746)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u6747) = c_Nitpick_OAbs__Frac(_u6747, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u6748, _u6749) = c_Nitpick_OAbs__Frac(_u6748, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6749), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6750), _u6751), _u6752) = c_Nitpick_OAbs__Frac(_u6750, c_Nitpick_Onorm__frac(_u6751, _u6752))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_surjective__sum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_surjective__sum-1, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6753, _u6754, _u6755, hAPP(hAPP(c_COMBB(tc_sum(_u6753, _u6755), _u6754, _u6753), _u6756), c_Sum__Type_OInl(_u6753, _u6755)), hAPP(hAPP(c_COMBB(tc_sum(_u6753, _u6755), _u6754, _u6755), _u6756), c_Sum__Type_OInr(_u6755, _u6753))) = _u6756) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_iterate_Osimps-1, axiom, ( ( _u6762 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6764, _u6766, _u6762, _u6768), _u6770) = hAPP(c_Product__Type_OPair(_u6764, _u6766), _u6770)) )).
% 12.32/12.49 cnf(fact_iterate_Osimps-2, axiom, ( ( _u6763 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6765, _u6767, _u6763, _u6769), _u6771) = hAPP(hAPP(c_Product__Type_Oscomp(_u6767, _u6765, _u6767, tc_prod(_u6765, _u6767)), hAPP(_u6769, _u6771)), c_Random_Oiterate(_u6765, _u6767, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6763), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6769))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__case__KK ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__case__KK-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6772, _u6773, _u6774, hAPP(c_COMBK(_u6773, _u6772), _u6775), hAPP(c_COMBK(_u6773, _u6774), _u6775)), _u6776) = _u6775) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6778, _u6779, _u6780), hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6781, _u6782, tc_prod(_u6778, _u6779)), _u6783), _u6784)), _u6785) = hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6781, _u6782, _u6780), _u6783), hAPP(hAPP(c_COMBC(_u6781, tc_fun(_u6778, tc_fun(_u6779, _u6780)), tc_fun(_u6782, _u6780)), hAPP(hAPP(c_COMBB(tc_fun(_u6782, tc_prod(_u6778, _u6779)), tc_fun(tc_fun(_u6778, tc_fun(_u6779, _u6780)), tc_fun(_u6782, _u6780)), _u6781), c_Product__Type_Oscomp(_u6782, _u6778, _u6779, _u6780)), _u6784)), _u6785))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__case__inject ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__case__inject-1, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6789, _u6790) != c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6791, _u6792)) | ( _u6789 = _u6791) )).
% 12.32/12.49 cnf(fact_sum__case__inject-2, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6789, _u6790) != c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6791, _u6792)) | ( _u6790 = _u6792) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum__case__weak__cong ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum__case__weak__cong-1, axiom, ( ( _u6793 != _u6794) | ( hAPP(c_Sum__Type_Osum_Osum__case(_u6795, _u6796, _u6797, _u6798, _u6799), _u6793) = hAPP(c_Sum__Type_Osum_Osum__case(_u6795, _u6796, _u6797, _u6798, _u6799), _u6794)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6800, _u6801, _u6802, tc_prod(_u6801, _u6802)), _u6803), c_Product__Type_OPair(_u6801, _u6802)) = _u6803) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6804, _u6805, _u6804, _u6806), hAPP(c_Product__Type_OPair(_u6805, _u6804), _u6807)), _u6808) = hAPP(_u6808, _u6807)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6809, _u6810, _u6811, _u6812), _u6813), _u6814), _u6815) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6810, _u6811, _u6812), _u6814), hAPP(_u6813, _u6815))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum_Osimps_I6_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum_Osimps_I6_J-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6816, _u6817, _u6818, _u6819, _u6820), hAPP(c_Sum__Type_OInr(_u6818, _u6816), _u6821)) = hAPP(_u6820, _u6821)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_sum_Osimps_I5_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_sum_Osimps_I5_J-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6822, _u6823, _u6824, _u6825, _u6826), hAPP(c_Sum__Type_OInl(_u6822, _u6824), _u6827)) = hAPP(_u6825, _u6827)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6828, _u6829, _u6830, _u6831), _u6832), _u6833), _u6834) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6829, _u6830, _u6831), _u6833), hAPP(_u6832, _u6834))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6835, _u6836, _u6837, _u6838), _u6839), _u6840), _u6841) = hAPP(hAPP(_u6840, hAPP(c_Product__Type_Ofst(_u6836, _u6837), hAPP(_u6839, _u6841))), hAPP(c_Product__Type_Osnd(_u6836, _u6837), hAPP(_u6839, _u6841)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u6842, _u6843, _u6844) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6842), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6842), _u6843), hAPP(c_Nitpick_Odenom(_u6842), _u6844))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6842), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6842), tc_Int_Oint), c_Nitpick_Ofrac(_u6842)), 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(_u6842), _u6843))), 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(_u6842), _u6843))))), 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(_u6842), _u6844))), 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(_u6842), _u6844)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u6845, _u6846, _u6847) = c_Product__Type_Oprod_Oprod__case(_u6845, _u6846, _u6847)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_transfer__morphism__int__nat-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u6853 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6855, _u6857, _u6859, _u6861), _u6853) = c_Lazy__Sequence_Oempty(_u6857)) )).
% 12.32/12.49 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u6854 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6856, _u6858, _u6860, _u6862), _u6854) = c_Lazy__Sequence_Obind(_u6856, _u6858, hAPP(_u6860, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6854), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6856, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6858)), _u6862), _u6854))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u6868 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6870, _u6872, _u6874, _u6876), _u6868) = c_Lazy__Sequence_Ohit__bound(_u6872)) )).
% 12.32/12.49 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u6869 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6871, _u6873, _u6875, _u6877), _u6869) = c_Lazy__Sequence_Ohb__bind(_u6871, _u6873, hAPP(_u6875, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6869), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6871, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6873))), _u6877), _u6869))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6878, _u6879, _u6880), _u6881), hAPP(hAPP(c_Product__Type_OPair(_u6878, _u6879), _u6882), _u6883)) = hAPP(hAPP(_u6881, _u6882), _u6883)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u6884, _u6885, _u6886) = hAPP(hAPP(c_Nitpick_Ofrac(_u6884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6884), _u6885)), hAPP(c_Nitpick_Onum(_u6884), _u6886))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6884), _u6885)), hAPP(c_Nitpick_Odenom(_u6884), _u6886)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u6887) | ~class_Rings_Oring__1(_u6887) | ( c_Nitpick_Oof__frac(_u6888, _u6887, _u6889) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6887), hAPP(c_Int_Oring__1__class_Oof__int(_u6887), hAPP(c_Nitpick_Onum(_u6888), _u6889))), hAPP(c_Int_Oring__1__class_Oof__int(_u6887), hAPP(c_Nitpick_Odenom(_u6888), _u6889)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u6890, _u6891) = hAPP(hAPP(c_Nitpick_Ofrac(_u6890), hAPP(c_Nitpick_Odenom(_u6890), _u6891)), hAPP(c_Nitpick_Onum(_u6890), _u6891))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u6892, _u6893) = c_Nitpick_OAbs__Frac(_u6892, 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(_u6892), _u6893))), hAPP(c_Nitpick_Odenom(_u6892), _u6893)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6894, _u6895, _u6896, _u6897, _u6898, _u6899, _u6900) = c_New__DSequence_Opos__decr__bind(_u6894, _u6895, hAPP(hAPP(hAPP(_u6896, _u6898), _u6899), _u6900), hAPP(hAPP(c_COMBC(_u6894, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6895))), hAPP(hAPP(c_COMBC(_u6894, 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(_u6895)))), hAPP(hAPP(c_COMBC(_u6894, 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(_u6895))))), _u6897), _u6898)), _u6899)), _u6900))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u6904, _u6906, _u6908) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6904), c_Nitpick_Oplus__frac(_u6904, _u6906, c_Nitpick_Ouminus__frac(_u6904, _u6908)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6905), c_Nitpick_Oplus__frac(_u6905, _u6907, c_Nitpick_Ouminus__frac(_u6905, _u6909)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6905, _u6907, _u6909) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u6913, _u6915, _u6917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6913), c_Nitpick_Oplus__frac(_u6913, _u6915, c_Nitpick_Ouminus__frac(_u6913, _u6917)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.49 cnf(fact_Nitpick_Oless__eq__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6914), c_Nitpick_Oplus__frac(_u6914, _u6916, c_Nitpick_Ouminus__frac(_u6914, _u6918)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6914, _u6916, _u6918) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6919, _u6920, _u6921, _u6922, _u6923, _u6924, _u6925) = c_New__DSequence_Oneg__decr__bind(_u6919, _u6920, hAPP(hAPP(hAPP(_u6921, _u6923), _u6924), _u6925), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920)))), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920))))), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920)))))), _u6922), _u6923)), _u6924)), _u6925))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6926, _u6927, _u6928, _u6929), _u6930) = c_Lazy__Sequence_Ohb__bind(_u6926, _u6927, hAPP(_u6928, _u6930), hAPP(hAPP(c_COMBC(_u6926, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6927))), _u6929), _u6930))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u6931), _u6932) = c_Lazy__Sequence_Oempty(_u6931)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u6933, _u6934, _u6935, _u6936) = c_New__DSequence_Opos__empty(_u6933)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u6937, _u6938, _u6939, _u6940), _u6941), _u6942), _u6943) = c_New__DSequence_Oneg__bind(_u6937, _u6938, hAPP(hAPP(hAPP(_u6939, _u6941), _u6942), _u6943), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938)))), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938))))), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938)))))), _u6940), _u6941)), _u6942)), _u6943))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u6944, _u6945, _u6946, _u6947), _u6948) = c_Lazy__Sequence_Obind(_u6944, _u6945, hAPP(_u6946, _u6948), hAPP(hAPP(c_COMBC(_u6944, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6945)), _u6947), _u6948))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6951, _u6953), _u6954)) | hBOOL(hAPP(hAPP(_u6952, _u6953), _u6954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6949, tc_fun(_u6950, tc_HOL_Obool))), _u6951), _u6952)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6955, _u6956), _u6957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6958, tc_fun(_u6959, tc_HOL_Obool))), _u6955), _u6960)) | hBOOL(hAPP(hAPP(_u6960, _u6956), _u6957)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6962, _u6964)) | hBOOL(hAPP(_u6963, _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6961, tc_HOL_Obool)), _u6962), _u6963)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6965, _u6966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6967, tc_HOL_Obool)), _u6965), _u6968)) | hBOOL(hAPP(_u6968, _u6966)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u6969, _u6970, _u6971, _u6972), _u6973), _u6974), _u6975) = c_New__DSequence_Opos__bind(_u6969, _u6970, hAPP(hAPP(hAPP(_u6971, _u6973), _u6974), _u6975), hAPP(hAPP(c_COMBC(_u6969, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6970))), hAPP(hAPP(c_COMBC(_u6969, 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(_u6970)))), hAPP(hAPP(c_COMBC(_u6969, 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(_u6970))))), _u6972), _u6973)), _u6974)), _u6975))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_The__split ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u6976, _u6977), hAPP(c_Product__Type_Oprod_Oprod__case(_u6976, _u6977, tc_HOL_Obool), _u6978)) = c_HOL_OThe(tc_prod(_u6976, _u6977), hAPP(hAPP(c_COMBS(tc_prod(_u6976, _u6977), _u6977, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6976, tc_fun(_u6977, tc_HOL_Obool), tc_prod(_u6976, _u6977)), _u6978), c_Product__Type_Ofst(_u6976, _u6977))), c_Product__Type_Osnd(_u6976, _u6977)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6983), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6985, _u6987, _u6983, _u6989) = 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(_u6985)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6985))) )).
% 12.32/12.49 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6984), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6986, _u6988, _u6984, _u6990) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u6986, 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u6988, _u6990)), 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(_u6986)))), 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(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u6986, 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(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u6986, _u6988, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6984), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6990))), 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(_u6986)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u6986, 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(_u6986)))), 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(_u6986)))), 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(_u6986))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), 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(_u6986)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986))))), tc_prod(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u6986)), hAPP(hAPP(c_COMBB(_u6986, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), tc_prod(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u6986)), c_Product__Type_Ofst(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6993, hAPP(c_Product__Type_Osnd(_u6994, _u6995), _u6996)), hAPP(c_Product__Type_Ofst(_u6994, _u6995), _u6996))) | hBOOL(hAPP(_u6997, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6994, _u6995, _u6999), _u6998), _u6996))) | hBOOL(hAPP(hAPP(_u6993, skolem101(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)), skolem100(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993))) )).
% 12.32/12.49 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u6993, hAPP(c_Product__Type_Osnd(_u6994, _u6995), _u6996)), hAPP(c_Product__Type_Ofst(_u6994, _u6995), _u6996))) | hBOOL(hAPP(_u6997, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6994, _u6995, _u6999), _u6998), _u6996))) | ~hBOOL(hAPP(_u6997, hAPP(hAPP(_u6998, skolem100(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)), skolem101(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7000, _u7001, _u7002, _u7003), _u7004), _u7005) = hAPP(_u7003, hAPP(hAPP(c_Product__Type_OPair(_u7000, _u7001), _u7004), _u7005))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curryI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u7006, hAPP(hAPP(c_Product__Type_OPair(_u7007, _u7008), _u7009), _u7010))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7007, _u7008, tc_HOL_Obool, _u7006), _u7009), _u7010)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curryD ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7011, _u7012, tc_HOL_Obool, _u7013), _u7014), _u7015)) | hBOOL(hAPP(_u7013, hAPP(hAPP(c_Product__Type_OPair(_u7011, _u7012), _u7014), _u7015))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curryE ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7016, _u7017, tc_HOL_Obool, _u7018), _u7019), _u7020)) | hBOOL(hAPP(_u7018, hAPP(hAPP(c_Product__Type_OPair(_u7016, _u7017), _u7019), _u7020))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7021, _u7022, _u7023, _u7024), _u7025), _u7026) = hAPP(_u7024, hAPP(hAPP(c_Product__Type_OPair(_u7021, _u7022), _u7025), _u7026))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u7027, _u7028, _u7029), c_Product__Type_Ocurry(_u7027, _u7028, _u7029, _u7030)) = _u7030) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u7031, _u7032, _u7033, hAPP(c_Product__Type_Oprod_Oprod__case(_u7031, _u7032, _u7033), _u7034)) = _u7034) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u7035, _u7036), _u7037) = c_HOL_OThe(tc_prod(_u7035, _u7036), hAPP(c_Product__Type_Oprod_Oprod__case(_u7035, _u7036, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7036, tc_prod(_u7035, _u7036)), tc_fun(_u7036, tc_HOL_Obool), _u7035), hAPP(c_COMBB(tc_prod(_u7035, _u7036), tc_HOL_Obool, _u7036), _u7037)), c_Product__Type_OPair(_u7035, _u7036))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u7038, _u7039), hAPP(c_Product__Type_Oprod_Oprod__case(_u7038, _u7039, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u7038, tc_fun(_u7039, tc_HOL_Obool), tc_fun(_u7039, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7039, tc_HOL_Obool), tc_fun(_u7039, tc_HOL_Obool)), _u7038), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7039)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7038), c_fconj), hAPP(c_fequal, _u7040)))), hAPP(c_fequal, _u7041)))) = hAPP(hAPP(c_Product__Type_OPair(_u7038, _u7039), _u7040), _u7041)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u7042, _u7043) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u7042, _u7043))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u7044, _u7045, _u7046) = 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(_u7044)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7044))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u7047), _u7048), _u7049), _u7050) = 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(_u7047)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u7047), _u7048))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u7051, hAPP(hAPP(c_COMBC(_u7051, _u7051, tc_HOL_Obool), c_fequal), _u7052)) = _u7052) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u7053, hAPP(c_fequal, _u7054)) = _u7054) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u7060, _u7062), _u7064)) | ~hBOOL(hAPP(hAPP(c_member(_u7060), _u7055), _u7064)) | hBOOL(hAPP(_u7062, _u7055)) )).
% 12.32/12.49 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u7061, _u7063), _u7065)) | hBOOL(hAPP(hAPP(c_member(_u7061), skolem102(_u7065, _u7063, _u7061)), _u7065)) )).
% 12.32/12.49 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u7061, _u7063), _u7065)) | ~hBOOL(hAPP(_u7063, skolem102(_u7065, _u7063, _u7061))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7066, tc_HOL_Obool)), _u7067), _u7068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7066, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u7066, _u7067)), c_Predicate_OPowp(_u7066, _u7068))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 12.32/12.49 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), _u7069), _u7070)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7069), _u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7070), _u7071)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__cancel2 ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u7072)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7073), _u7072)), _u7072)) | ( _u7073 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.49 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)), _u7072)) | ( _u7073 != 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), _u7073), _u7072)), _u7072)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__cancel1 ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u7074)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7074), _u7075)), _u7074)) | ( _u7075 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.49 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)), _u7074)) | ( _u7075 != 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), _u7074), _u7075)), _u7074)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__mult__cancel1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__mult__cancel1-1, axiom, ( ( _u7076 = 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), _u7076), _u7077)), _u7076)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7077) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.49 cnf(fact_zdvd__mult__cancel1-2, axiom, ( ( _u7076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7077) != 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), _u7076), _u7077)), _u7076)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 12.32/12.49 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), _u7078)), 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))), _u7079))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7080))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7080)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7078), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7078), 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), _u7080), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7079))))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7081), _u7081)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7082) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7082), _u7083), c_Groups_Ozero__class_Ozero(_u7082))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 12.32/12.49 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))), _u7084)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), hAPP(c_Groups_Oabs__class_Oabs(_u7085), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7086, _u7085), _u7087), _u7088))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7086, _u7085), hAPP(hAPP(c_COMBB(_u7085, _u7085, _u7086), c_Groups_Oabs__class_Oabs(_u7085)), _u7087)), _u7088))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), c_Groups_Ozero__class_Ozero(_u7089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7090, _u7089), hAPP(hAPP(c_COMBB(_u7089, _u7089, _u7090), c_Groups_Oabs__class_Oabs(_u7089)), _u7091)), _u7092))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__antisym__abs ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__antisym__abs-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7094), _u7093)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7093) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7094)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7096), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7096 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.49 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u7097 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7097), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u7098) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7098), _u7099) != hAPP(c_Groups_Oabs__class_Oabs(_u7098), _u7100)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7098), _u7099), _u7100)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7101) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), hAPP(c_Groups_Oabs__class_Oabs(_u7101), _u7102)), _u7103)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), _u7102), _u7103)) )).
% 12.32/12.49 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7101) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), _u7102), _u7103)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), hAPP(c_Groups_Oabs__class_Oabs(_u7101), _u7102)), _u7103)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7104) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), hAPP(c_Groups_Oabs__class_Oabs(_u7104), _u7106))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), _u7106)) )).
% 12.32/12.49 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7104) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), _u7106)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), hAPP(c_Groups_Oabs__class_Oabs(_u7104), _u7106))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7107) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7107), _u7108), _u7109)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7107), hAPP(hAPP(c_Power_Opower__class_Opower(_u7107), _u7108), _u7110)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7107), _u7109), _u7110))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7111) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7111), c_Groups_Oone__class_Oone(_u7111)), _u7112)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7113) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7113), c_Groups_Ozero__class_Ozero(_u7113)), _u7114)) | ( _u7114 = c_Groups_Ozero__class_Ozero(_u7113)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7118)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7117), _u7118))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u7121 != _u7123) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7121), _u7123)) )).
% 12.32/12.49 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u7121 != _u7123) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7123), _u7121)) )).
% 12.32/12.49 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7122), _u7124)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7124), _u7122)) | ( _u7122 = _u7124) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Ole__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7127), _u7129)) | ( _u7127 = _u7129) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7129), _u7127)) )).
% 12.32/12.49 cnf(fact_dvd_Ole__less-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7128), _u7130)) | ( _u7128 != _u7130) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7133), _u7135)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7135), _u7133)) | ( _u7133 != _u7135) )).
% 12.32/12.49 cnf(fact_dvd_Oless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7134), _u7136)) | ( _u7134 = _u7136) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7136), _u7134)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u7137 = _u7138) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7137), _u7138)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7138), _u7137)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u7139 != _u7140) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7139), _u7140)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7141), _u7142)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7142), _u7141)) | ( _u7142 = _u7141) )).
% 12.32/12.49 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7141), _u7142)) | ( _u7142 != _u7141) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7142), _u7141)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7143), _u7144)) | ( _u7143 = _u7144) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7144), _u7143)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7145), _u7146)) | ( _u7145 = _u7146) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7146), _u7145)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u7147 != _u7148) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7147), _u7149)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7150), _u7151)) | ( _u7151 != _u7152) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7150), _u7152)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7153), _u7154)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7154), _u7153)) | ( _u7153 = _u7154) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oantisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7155), _u7156)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7156), _u7155)) | ( _u7155 = _u7156) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oorder__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oorder__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7157), _u7158)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7158), _u7159)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7157), _u7159)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oord__eq__less__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oord__eq__less__trans-1, axiom, ( ( _u7160 != _u7161) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7161)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7160), _u7162)) )).
% 12.32/12.49 cnf(fact_dvd_Oord__eq__less__trans-2, axiom, ( ( _u7160 != _u7161) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7160)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Ole__less__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Ole__less__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7164), _u7165)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7164)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7165)) )).
% 12.32/12.49 cnf(fact_dvd_Ole__less__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7164), _u7165)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7163)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__imp__neq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__imp__neq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7166), _u7167)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7167), _u7166)) | ( _u7166 != _u7167) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__not__sym ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__not__sym, axiom, $true).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__imp__le ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__imp__le, axiom, $true).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__imp__not__less ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__imp__not__less, axiom, $true).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__imp__not__eq ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__imp__not__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7175)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7175), _u7174)) | ( _u7174 != _u7175) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__imp__not__eq2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__imp__not__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7176), _u7177)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7177), _u7176)) | ( _u7177 != _u7176) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oord__less__eq__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oord__less__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7179)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7178)) | ( _u7179 != _u7180) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7180)) )).
% 12.32/12.49 cnf(fact_dvd_Oord__less__eq__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7179)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7178)) | ( _u7179 != _u7180) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7180), _u7178)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__le__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7182)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7181)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7183)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7183)) )).
% 12.32/12.49 cnf(fact_dvd_Oless__le__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7182)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7181)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7183)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7183), _u7181)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__asym_H ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__asym_H, axiom, $true).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7186)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7188)) )).
% 12.32/12.49 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7186)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7187)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7186)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd_Oless__asym, axiom, $true).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7191) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7192) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7193)) | ( _u7192 = _u7193) )).
% 12.32/12.49 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7191) | ( _u7192 != _u7193) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7192) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7193)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7194) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7194), _u7195), _u7195)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7196) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7197), _u7198)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7198), _u7199)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7197), _u7199)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), c_Divides_Odiv__class_Omod(_u7200, _u7202, _u7203))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), _u7203)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), _u7202)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u7204) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), _u7206)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), _u7207)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), c_Divides_Odiv__class_Omod(_u7204, _u7206, _u7207))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u7208) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7208), _u7209), _u7210)) | ( c_Divides_Odiv__class_Omod(_u7208, c_Divides_Odiv__class_Omod(_u7208, _u7211, _u7210), _u7209) = c_Divides_Odiv__class_Omod(_u7208, _u7211, _u7209)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u7212) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7214)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), c_Divides_Odiv__class_Omod(_u7212, _u7215, _u7214))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7215)) )).
% 12.32/12.49 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u7212) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7214)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7215)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), c_Divides_Odiv__class_Omod(_u7212, _u7215, _u7214))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__int ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7218), _u7220)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7218)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7220))) )).
% 12.32/12.49 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), _u7219)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7221))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7221)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_transfer__int__nat__relations_I4_J ( axiom ) converted to clauses:
% 12.32/12.49 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), _u7224)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7226))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7224), _u7226)) )).
% 12.32/12.49 cnf(fact_transfer__int__nat__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7225), _u7227)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7225)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7227))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7228) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7228), _u7229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7228), _u7229), _u7230))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7231) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7231), _u7232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7231), _u7233), _u7232))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7234) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7234), _u7235), _u7236)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7234), _u7235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7234), _u7236), _u7237))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7238) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7238), _u7239), _u7240)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7238), _u7239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7238), _u7241), _u7240))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7242) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), _u7243), _u7244)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), _u7245), _u7246)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), _u7243), _u7245)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), _u7244), _u7246))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u7247) | ( _u7248 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7247), _u7249), _u7250)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7247), _u7249), _u7248)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7251) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7251), _u7252), _u7253)), _u7254)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7251), _u7252), _u7254)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7255) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7255), _u7256), _u7257)), _u7258)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7255), _u7257), _u7258)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u7259) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7261)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7262)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7261), _u7260)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7262), _u7260))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7261), _u7262)) )).
% 12.32/12.49 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u7259) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7261)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7262)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7261), _u7262)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7261), _u7260)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7262), _u7260))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__zmod__imp__zdvd ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__zmod__imp__zdvd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7264, _u7265))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), _u7265)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), _u7264)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__zmod ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__zmod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), _u7267)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), _u7268)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7267, _u7268))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_uminus__dvd__conv_I2_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_uminus__dvd__conv_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7271), _u7273)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7271), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7273))) )).
% 12.32/12.49 cnf(fact_uminus__dvd__conv_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7272), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7274))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7272), _u7274)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_uminus__dvd__conv_I1_J ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_uminus__dvd__conv_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7277), _u7279)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7277)), _u7279)) )).
% 12.32/12.49 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), _u7278)), _u7280)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7278), _u7280)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_zdvd__zdiffD ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_zdvd__zdiffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7282), _u7283))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), _u7283)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), _u7282)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__reduce ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7286), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7288), _u7286))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7286), _u7288)) )).
% 12.32/12.49 cnf(fact_dvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7287), _u7289)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7289), _u7287))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u7290) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7290), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7291, tc_Nat_Onat), _u7292), _u7293)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7291, _u7290), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7290, _u7291), c_Nat_Osemiring__1__class_Oof__nat(_u7290)), _u7292)), _u7293)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7294) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), hAPP(c_Groups_Ouminus__class_Ouminus(_u7294), _u7296))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), _u7296)) )).
% 12.32/12.49 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u7294) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), _u7296)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), hAPP(c_Groups_Ouminus__class_Ouminus(_u7294), _u7296))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7297) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), hAPP(c_Groups_Ouminus__class_Ouminus(_u7297), _u7298)), _u7299)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), _u7298), _u7299)) )).
% 12.32/12.49 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u7297) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), _u7298), _u7299)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), hAPP(c_Groups_Ouminus__class_Ouminus(_u7297), _u7298)), _u7299)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7300) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), _u7302)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), _u7303)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7300), _u7302), _u7303))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7304) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7304), _u7305), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7306))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7304), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7304), _u7305), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7306))), hAPP(_u7305, _u7306))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u7307) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7308, tc_Int_Oint), _u7309), _u7310)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7308, _u7307), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7307, _u7308), c_Int_Oring__1__class_Oof__int(_u7307)), _u7309)), _u7310)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__diff__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), _u7312)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), _u7313)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7312), _u7313))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7314) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7315, _u7314), hAPP(hAPP(c_COMBC(_u7315, tc_fun(_u7316, tc_HOL_Obool), _u7314), hAPP(hAPP(c_COMBB(tc_fun(_u7316, _u7314), tc_fun(tc_fun(_u7316, tc_HOL_Obool), _u7314), _u7315), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7316, _u7314)), _u7317)), _u7318)), _u7319) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7316, _u7314), hAPP(hAPP(c_COMBC(_u7316, tc_fun(_u7315, tc_HOL_Obool), _u7314), hAPP(hAPP(c_COMBB(tc_fun(_u7315, _u7314), tc_fun(tc_fun(_u7315, tc_HOL_Obool), _u7314), _u7316), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7315, _u7314)), hAPP(c_COMBC(_u7315, _u7316, _u7314), _u7317))), _u7319)), _u7318)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7320) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7321, _u7320), hAPP(c_COMBK(_u7320, _u7321), c_Groups_Ozero__class_Ozero(_u7320))), _u7322) = c_Groups_Ozero__class_Ozero(_u7320)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7323) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), hAPP(hAPP(c_COMBS(_u7324, _u7323, _u7323), hAPP(hAPP(c_COMBB(_u7323, tc_fun(_u7323, _u7323), _u7324), c_Groups_Oplus__class_Oplus(_u7323)), _u7325)), _u7326)), _u7327) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7323), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), _u7325), _u7327)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), _u7326), _u7327))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7328), _u7329), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7330, _u7328), _u7331), _u7332)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7330, _u7328), hAPP(hAPP(c_COMBB(_u7328, _u7328, _u7330), hAPP(c_Groups_Otimes__class_Otimes(_u7328), _u7329)), _u7331)), _u7332)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7333) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), _u7335), _u7336)), _u7337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), hAPP(hAPP(c_COMBC(_u7334, _u7333, _u7333), hAPP(hAPP(c_COMBB(_u7333, tc_fun(_u7333, _u7333), _u7334), c_Groups_Otimes__class_Otimes(_u7333)), _u7335)), _u7337)), _u7336)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u7338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7339, _u7338), _u7340), _u7341)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7342, _u7338), _u7343), _u7344)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7339, _u7338), hAPP(hAPP(c_COMBC(_u7339, tc_fun(_u7342, tc_HOL_Obool), _u7338), hAPP(hAPP(c_COMBB(tc_fun(_u7342, _u7338), tc_fun(tc_fun(_u7342, tc_HOL_Obool), _u7338), _u7339), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7342, _u7338)), hAPP(hAPP(c_COMBC(_u7339, tc_fun(_u7342, _u7338), tc_fun(_u7342, _u7338)), hAPP(hAPP(c_COMBB(tc_fun(_u7338, _u7338), tc_fun(tc_fun(_u7342, _u7338), tc_fun(_u7342, _u7338)), _u7339), c_COMBB(_u7338, _u7338, _u7342)), hAPP(hAPP(c_COMBB(_u7338, tc_fun(_u7338, _u7338), _u7339), c_Groups_Otimes__class_Otimes(_u7338)), _u7340))), _u7343))), _u7344)), _u7341)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u7345) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), hAPP(hAPP(c_COMBS(_u7346, _u7345, _u7345), hAPP(hAPP(c_COMBB(_u7345, tc_fun(_u7345, _u7345), _u7346), c_Groups_Ominus__class_Ominus(_u7345)), _u7347)), _u7348)), _u7349) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7345), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), _u7347), _u7349)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), _u7348), _u7349))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u7350) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7351, _u7350), hAPP(hAPP(c_COMBB(_u7350, _u7350, _u7351), c_Groups_Ouminus__class_Ouminus(_u7350)), _u7352)), _u7353) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7350), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7351, _u7350), _u7352), _u7353))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u7354) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), _u7356), _u7357)), _u7358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), hAPP(hAPP(c_COMBC(_u7355, _u7354, _u7354), hAPP(hAPP(c_COMBB(_u7354, tc_fun(_u7354, _u7354), _u7355), c_Rings_Oinverse__class_Odivide(_u7354)), _u7356)), _u7358)), _u7357)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7359) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7360, _u7359), hAPP(hAPP(c_COMBB(_u7359, _u7359, _u7360), c_Groups_Oabs__class_Oabs(_u7359)), _u7361)), _u7362)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7360, _u7359), hAPP(hAPP(c_COMBB(_u7359, _u7359, _u7360), c_Groups_Oabs__class_Oabs(_u7359)), _u7361)), _u7362)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_transfer__nat__int__relations_I4_J ( axiom ) converted to clauses:
% 12.32/12.49 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)), _u7363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7364)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7363)), hAPP(c_Int_Onat, _u7364))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7363), _u7364)) )).
% 12.32/12.49 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)), _u7363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7364)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7363), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7363)), hAPP(c_Int_Onat, _u7364))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_int__dvd__iff ( axiom ) converted to clauses:
% 12.32/12.49 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), _u7367)), _u7369)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7367), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7369)))) )).
% 12.32/12.49 cnf(fact_int__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7368), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7370)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7368)), _u7370)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__int__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7373), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7375))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7373))), _u7375)) )).
% 12.32/12.49 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), _u7374))), _u7376)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7374), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7376))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7378)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7377), _u7378), _u7379)) )).
% 12.32/12.49 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7377), _u7378), _u7379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7378)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7379))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u7380) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ( _u7381 = c_Groups_Ozero__class_Ozero(_u7380)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), _u7382), _u7383)) )).
% 12.32/12.49 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u7380) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ( _u7381 != c_Groups_Ozero__class_Ozero(_u7380)) )).
% 12.32/12.49 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u7380) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), _u7382), _u7383)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u7384) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ( _u7386 = c_Groups_Ozero__class_Ozero(_u7384)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), _u7385), _u7387)) )).
% 12.32/12.49 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u7384) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ( _u7386 != c_Groups_Ozero__class_Ozero(_u7384)) )).
% 12.32/12.49 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u7384) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), _u7385), _u7387)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7388) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7388), _u7389), _u7390)) | ( c_Divides_Odiv__class_Omod(_u7388, _u7390, _u7389) = c_Groups_Ozero__class_Ozero(_u7388)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7391) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7391), _u7392), _u7393)) | ( c_Divides_Odiv__class_Omod(_u7391, _u7393, _u7392) = c_Groups_Ozero__class_Ozero(_u7391)) )).
% 12.32/12.49 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u7391) | ( c_Divides_Odiv__class_Omod(_u7391, _u7393, _u7392) != c_Groups_Ozero__class_Ozero(_u7391)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7391), _u7392), _u7393)) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7394, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7395)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7394), _u7395), _u7396)) )).
% 12.32/12.49 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7394), _u7395), _u7396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7394, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7395)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7396))) )).
% 12.32/12.49
% 12.32/12.49 % Formula: fact_div__add ( axiom ) converted to clauses:
% 12.32/12.49 cnf(fact_div__add-1, axiom, ( ~class_Divides_Osemiring__div(_u7397) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7397), _u7398), _u7399)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7397), _u7398), _u7400)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7397), _u7399), _u7400)), _u7398) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7397), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), _u7399), _u7398)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), _u7400), _u7398))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u7401) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7401), _u7402), _u7403)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7401), _u7402), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7401), _u7403), _u7402)) = _u7403) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u7404) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7404), _u7405), _u7406)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7404), _u7407), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7404), _u7406), _u7405)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7404), _u7407), _u7406)), _u7405)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7408) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7408), _u7409), _u7410)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7408), _u7410), _u7409)), _u7409) = _u7410) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7411) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7411), _u7412), _u7413)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7411), _u7413), _u7412)), _u7414) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), _u7413), _u7414)), _u7412)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u7415) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7415), _u7416), _u7417)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7415), _u7418), _u7419)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), _u7417), _u7416)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), _u7419), _u7418)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7417), _u7419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7416), _u7418))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u7420) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7420), _u7421), _u7422)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7420), _u7422), hAPP(c_Groups_Ouminus__class_Ouminus(_u7420), _u7421)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7420), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7420), _u7422), _u7421))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u7423) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7423), _u7424), _u7425)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7423), hAPP(c_Groups_Ouminus__class_Ouminus(_u7423), _u7425)), _u7424) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7423), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7423), _u7425), _u7424))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7426) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7426), hAPP(hAPP(c_Power_Opower__class_Opower(_u7426), _u7427), _u7428)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7430), _u7428)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7426), hAPP(hAPP(c_Power_Opower__class_Opower(_u7426), _u7427), _u7430)), _u7429)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7431) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7431), _u7432), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7434), _u7435)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7431), hAPP(hAPP(c_Power_Opower__class_Opower(_u7431), _u7432), _u7434)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7431), _u7433), _u7435))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7437), _u7438)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7436), hAPP(hAPP(c_Power_Opower__class_Opower(_u7436), _u7439), _u7437)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7436), _u7439), _u7438))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_div__power ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u7440) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7440), _u7441), _u7442)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7440), _u7442), _u7441)), _u7443) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7440), hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), _u7442), _u7443)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), _u7441), _u7443))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__antisym__nonneg ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7444), _u7445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7445), _u7444)) | ( _u7444 = _u7445) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__not__zless ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7446), _u7447)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7446)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd__mono-1, axiom, ( ( _u7448 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7449), _u7450)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7449)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7450))) )).
% 12.32/12.50 cnf(fact_zdvd__mono-2, axiom, ( ( _u7448 = 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), _u7448), _u7449)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7450))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7449), _u7450)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__mult__cancel ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7451), _u7453))) | ( _u7451 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7452), _u7453)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__reduce ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7457), _u7461)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7457), _u7459)) )).
% 12.32/12.50 cnf(fact_zdvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7458), _u7460)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7460), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7458), _u7462)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__period ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd__period-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), _u7464)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), _u7466))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7467), _u7464))), _u7466))) )).
% 12.32/12.50 cnf(fact_zdvd__period-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), _u7464)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7467), _u7464))), _u7466))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), _u7466))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7469), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7469 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.50 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u7470 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7470), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__dvd__not__less ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7471), _u7472)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7472), _u7471)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7476), _u7478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7476), _u7480))) | ( _u7476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7478), _u7480)) )).
% 12.32/12.50 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), _u7477), _u7479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7481))) | ( _u7477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 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), _u7477), _u7479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7481))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7479), _u7481)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd__mult__div__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7482), _u7483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7483), _u7482)) = _u7483) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zmod__eq__dvd__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zmod__eq__dvd__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7487, _u7489) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7491, _u7489)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7489), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7487), _u7491))) )).
% 12.32/12.50 cnf(fact_zmod__eq__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7490), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7488), _u7492))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7488, _u7490) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7492, _u7490)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__diffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7494), _u7495))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), _u7494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7495), _u7494)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), _u7495)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__diffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7497), _u7498))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), _u7498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7498), _u7497)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), _u7497)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd1__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7500), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7500) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.50 cnf(fact_zdvd1__eq-2, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7501) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7501), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_abs__div ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_abs__div-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7502), _u7503)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7503), _u7502)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7503)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7502))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__dvd__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_nat__dvd__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7506)), _u7508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7506)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7506), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7508))) )).
% 12.32/12.50 cnf(fact_nat__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7506)), _u7508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7506)) | ( _u7508 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_nat__dvd__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7507)) | ( _u7509 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_nat__dvd__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7507), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7509))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7507)) )).
% 12.32/12.50 cnf(fact_nat__dvd__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7507), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7509))) | ( _u7509 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7510) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), c_Groups_Oone__class_Oone(_u7510)), c_Groups_Oone__class_Oone(_u7510))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7510), hAPP(hAPP(c_COMBB(_u7510, _u7510, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u7510, _u7510), hAPP(hAPP(c_COMBB(_u7510, tc_fun(_u7510, _u7510), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u7510)), c_Nat_Osemiring__1__class_Oof__nat(_u7510))), _u7512))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7513))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7510), _u7513)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7513), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7512))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), _u7514))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7518), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7518), skolem103(_u7520, _u7519, _u7518)), c_Groups_Ozero__class_Ozero(_u7518)))) )).
% 12.32/12.50 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), _u7514))) | hBOOL(hAPP(_u7519, skolem103(_u7520, _u7519, _u7518))) )).
% 12.32/12.50 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7518), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7518), _u7516), c_Groups_Ozero__class_Ozero(_u7518)))) | ~hBOOL(hAPP(_u7519, _u7516)) | hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), skolem104(_u7520, _u7519, _u7518)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7523) | ~class_Rings_Odvd(_u7523) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), _u7525)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), _u7529), _u7526))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7523), _u7529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7523), _u7527), _u7525))), _u7526))) )).
% 12.32/12.50 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7523) | ~class_Rings_Odvd(_u7523) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), _u7525)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), _u7530), _u7526))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7523), _u7530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7523), _u7528), _u7525))), _u7526))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7533) | ~class_Rings_Odvd(_u7533) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), _u7539), _u7536))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7533), _u7539), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7533), _u7537), _u7535))), _u7536))) )).
% 12.32/12.50 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7533) | ~class_Rings_Odvd(_u7533) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), _u7535)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), _u7540), _u7536))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7533), _u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7533), _u7538), _u7535))), _u7536))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__eq__mod__eq__0__number__of ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__eq__mod__eq__0__number__of-1, axiom, ( ~class_Divides_Osemiring__div(_u7541) | ~class_Int_Onumber(_u7541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7541), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543))) | ( c_Divides_Odiv__class_Omod(_u7541, hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)) = c_Groups_Ozero__class_Ozero(_u7541)) )).
% 12.32/12.50 cnf(fact_dvd__eq__mod__eq__0__number__of-2, axiom, ( ~class_Divides_Osemiring__div(_u7541) | ~class_Int_Onumber(_u7541) | ( c_Divides_Odiv__class_Omod(_u7541, hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)) != c_Groups_Ozero__class_Ozero(_u7541)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7541), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( _u7546 = c_Groups_Ozero__class_Ozero(_u7544)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7545), _u7547)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7546), _u7548)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7547), _u7545) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7548), _u7546)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7547), _u7546) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7545), _u7548)) )).
% 12.32/12.50 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( _u7546 = c_Groups_Ozero__class_Ozero(_u7544)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7545), _u7547)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7546), _u7548)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7547), _u7546) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7545), _u7548)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7547), _u7545) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7548), _u7546)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7549) | ( _u7550 = c_Groups_Ozero__class_Ozero(_u7549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7549), _u7550), _u7551)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7549), _u7551), _u7550) != _u7552) | ( _u7551 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7549), _u7552), _u7550)) )).
% 12.32/12.50 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7549) | ( _u7550 = c_Groups_Ozero__class_Ozero(_u7549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7549), _u7550), _u7551)) | ( _u7551 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7549), _u7552), _u7550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7549), _u7551), _u7550) = _u7552) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__imp__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_zdvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7553), _u7554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7553), _u7554)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_zdvd__iff__zmod__eq__0__number__of ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7557)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.50 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), _u7560), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558)) != 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7560))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7561), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7561), _u7562)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7563), _u7564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7563), _u7565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7563)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7564), _u7565)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7568))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7567), _u7568)) )).
% 12.32/12.50 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)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7567), _u7568)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7568))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__imp__le__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__imp__le__int-1, axiom, ( ( _u7569 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7570), _u7569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7570)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7569))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd__power ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7571) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7571), _u7573), hAPP(hAPP(c_Power_Opower__class_Opower(_u7571), _u7573), _u7572))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7572)) )).
% 12.32/12.50 cnf(fact_dvd__power-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7571) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7571), _u7573), hAPP(hAPP(c_Power_Opower__class_Opower(_u7571), _u7573), _u7572))) | ( _u7573 != c_Groups_Oone__class_Oone(_u7571)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_Ostrict__monoD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_Ostrict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u7574) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7574, 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)))), _u7575) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7576), _u7577)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7577), _u7576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7574), hAPP(_u7575, _u7576)), hAPP(_u7575, _u7577))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7578)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7579))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7580))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7580), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7579))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OmonoD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OmonoD-1, axiom, ( ~class_Orderings_Oorder(_u7581) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7581, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7582) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7583), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7581), hAPP(_u7582, _u7583)), hAPP(_u7582, _u7584))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u7585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7586), _u7587)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7585), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7585, _u7585), hAPP(hAPP(c_COMBB(_u7585, tc_fun(_u7585, _u7585), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7585)), _u7588)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7585, tc_Nat_Onat), _u7588), 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, _u7586, _u7587)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7585), hAPP(_u7588, _u7586)), hAPP(_u7588, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7587), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.50 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u7585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7586), _u7587)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7585), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7585, _u7585), hAPP(hAPP(c_COMBB(_u7585, tc_fun(_u7585, _u7585), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7585)), _u7588)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7585, tc_Nat_Onat), _u7588), 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, _u7586, _u7587)) = c_Groups_Ozero__class_Ozero(_u7585)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), c_Groups_Oone__class_Oone(_u7589)), c_Groups_Oone__class_Oone(_u7589))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7589), c_Nat_Osemiring__1__class_Oof__nat(_u7589)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u7590))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7589), _u7590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7589), _u7590)), c_Groups_Oone__class_Oone(_u7589)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u7591, 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), _u7591), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7592)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7591), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7592))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_Ostrict__mono__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_Ostrict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u7593) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7593, 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)))), _u7594) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7593, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7594) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u7595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7598), _u7596)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u7595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7597), _u7599)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u7595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u7595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7598), _u7596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7597), _u7599)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7600), _u7601), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7602), hAPP(c_Nat_OSuc, _u7603))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7600), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7600, tc_Nat_Onat), _u7601), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7602, _u7603))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7604) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7604), _u7605), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7606), _u7607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7608), _u7607))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7604), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7604, tc_Nat_Onat), _u7605), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7607))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7606, _u7608))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 12.32/12.50 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(_u7609, tc_Nat_Onat), _u7610), _u7611)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7609), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7610)), _u7611)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7612, tc_Nat_Onat), _u7613), _u7614) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7612, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7612), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7613)), _u7614))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7618), _u7616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7617), _u7619)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7618), _u7616)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7617), _u7619)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7621), _u7622)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7620), _u7623), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7621, _u7622)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7620), hAPP(_u7623, _u7621)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7620), _u7623), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7621), _u7622)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7625)), _u7626)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, hAPP(c_Nat_OSuc, _u7625))) = c_Groups_Ozero__class_Ozero(_u7624)) )).
% 12.32/12.50 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7624) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7625)), _u7626)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, hAPP(c_Nat_OSuc, _u7625))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7624), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, _u7625))), hAPP(_u7627, hAPP(c_Nat_OSuc, _u7625)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7629), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7629, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), _u7632))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7628), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7629, _u7630))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), _u7632))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7634), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7639))) | hBOOL(hAPP(_u7641, _u7634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem105(_u7641, _u7639)), _u7639)) )).
% 12.32/12.50 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7634), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7639))) | hBOOL(hAPP(_u7641, _u7634)) | ~hBOOL(hAPP(_u7641, skolem105(_u7641, _u7639))) )).
% 12.32/12.50 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7636), _u7640)) | hBOOL(hAPP(_u7642, _u7636)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem106(_u7642, _u7640)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7640))) )).
% 12.32/12.50 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7636), _u7640)) | hBOOL(hAPP(_u7642, _u7636)) | ~hBOOL(hAPP(_u7642, skolem106(_u7642, _u7640))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7643), _u7649)) | ~hBOOL(hAPP(_u7651, _u7643)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem107(_u7651, _u7649)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7649))) )).
% 12.32/12.50 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7643), _u7649)) | ~hBOOL(hAPP(_u7651, _u7643)) | hBOOL(hAPP(_u7651, skolem107(_u7651, _u7649))) )).
% 12.32/12.50 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7645), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7650))) | ~hBOOL(hAPP(_u7652, _u7645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem108(_u7652, _u7650)), _u7650)) )).
% 12.32/12.50 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7645), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7650))) | ~hBOOL(hAPP(_u7652, _u7645)) | hBOOL(hAPP(_u7652, skolem108(_u7652, _u7650))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7654, skolem109(_u7656, _u7655, _u7654))), hAPP(_u7655, skolem109(_u7656, _u7655, _u7654)))) | ( 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), _u7655), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7654), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))) = 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)), _u7655)), _u7654)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u7657) | ( _u7658 = c_Groups_Oone__class_Oone(_u7657)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7657), hAPP(c_Power_Opower__class_Opower(_u7657), _u7658)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7659)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7657), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7657), hAPP(hAPP(c_Power_Opower__class_Opower(_u7657), _u7658), _u7659)), c_Groups_Oone__class_Oone(_u7657))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7657), _u7658), c_Groups_Oone__class_Oone(_u7657)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7660), _u7666)) | ~hBOOL(hAPP(_u7668, _u7660)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem110(_u7668, _u7666)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7666))) )).
% 12.32/12.50 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7660), _u7666)) | ~hBOOL(hAPP(_u7668, _u7660)) | hBOOL(hAPP(_u7668, skolem110(_u7668, _u7666))) )).
% 12.32/12.50 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7662), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7667))) | ~hBOOL(hAPP(_u7669, _u7662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem111(_u7669, _u7667)), _u7667)) )).
% 12.32/12.50 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7662), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7667))) | ~hBOOL(hAPP(_u7669, _u7662)) | hBOOL(hAPP(_u7669, skolem111(_u7669, _u7667))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7671), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7676))) | hBOOL(hAPP(_u7678, _u7671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem112(_u7678, _u7676)), _u7676)) )).
% 12.32/12.50 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7671), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7676))) | hBOOL(hAPP(_u7678, _u7671)) | ~hBOOL(hAPP(_u7678, skolem112(_u7678, _u7676))) )).
% 12.32/12.50 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7673), _u7677)) | hBOOL(hAPP(_u7679, _u7673)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem113(_u7679, _u7677)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7677))) )).
% 12.32/12.50 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7673), _u7677)) | hBOOL(hAPP(_u7679, _u7673)) | ~hBOOL(hAPP(_u7679, skolem113(_u7679, _u7677))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u7680) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7680, _u7681), _u7682) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7680, _u7683), _u7684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7680), _u7681), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7680), _u7683), _u7684)) | ( _u7682 = _u7684) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u7685) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7685, _u7686), _u7687) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7685, _u7688), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7685), _u7686), _u7687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7685), _u7688), _u7689)) | ( _u7686 = _u7688) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) | ( _u7691 = _u7693) )).
% 12.32/12.50 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) | ( _u7692 = _u7694) )).
% 12.32/12.50 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( _u7691 != _u7693) | ( _u7692 != _u7694) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7695), hAPP(c_Nat_OSuc, _u7696)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, _u7696)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7697) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7697)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7698, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7699), _u7700)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7701), _u7702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7701), _u7699)) )).
% 12.32/12.50 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7698, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7699), _u7700)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7701), _u7702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7702)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7703) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7703), _u7704), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7705)), hAPP(c_Nat_OSuc, _u7706))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7703), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7703, tc_Nat_Onat), _u7704), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7705), _u7706))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7707) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7707), _u7708), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7709), _u7710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7711), _u7710))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7707), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7707, tc_Nat_Onat), _u7708), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7710))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7709), _u7711))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u7712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7712), _u7713), _u7714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7712, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7713), _u7715)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7713), _u7714)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7714), _u7715)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7717), _u7718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7718), _u7719)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7716), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7717), _u7718))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7718), _u7719))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7717), _u7719))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u7721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7722), _u7723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7723), _u7724)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7721), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7722), _u7724))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7722), _u7723))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7723), _u7724))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7726) | ( hAPP(_u7727, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7726)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7726), _u7727), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7726), _u7727), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7728))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7730), _u7731)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7729), _u7732), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7730), _u7731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7729), hAPP(_u7732, _u7730)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7729), _u7732), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7730)), _u7731)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7734), _u7735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), hAPP(c_Nat_OSuc, _u7734))) = c_Groups_Ozero__class_Ozero(_u7733)) )).
% 12.32/12.50 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7734), _u7735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), hAPP(c_Nat_OSuc, _u7734))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), _u7734))), hAPP(_u7736, _u7734))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u7742, _u7741, _u7740, _u7739)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7740))) )).
% 12.32/12.50 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)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u7742, _u7741, _u7740, _u7739)), _u7741)) )).
% 12.32/12.50 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)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | ( _u7739 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem115(_u7742, _u7741, _u7740, _u7739)), skolem114(_u7742, _u7741, _u7740, _u7739))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u7748, _u7747, _u7746, _u7745)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7746))) )).
% 12.32/12.50 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)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem117(_u7748, _u7747, _u7746, _u7745)), _u7747)) )).
% 12.32/12.50 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)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | ( _u7745 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7748, _u7747, _u7746, _u7745)), skolem116(_u7748, _u7747, _u7746, _u7745))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.50 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)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem124(_u7766, _u7765, _u7764, _u7763)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7764))) )).
% 12.32/12.50 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)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u7766, _u7765, _u7764, _u7763)), _u7765)) )).
% 12.32/12.50 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)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | ( _u7763 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem125(_u7766, _u7765, _u7764, _u7763)), skolem124(_u7766, _u7765, _u7764, _u7763))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7767), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7768), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7767, _u7768)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem126(_u7774, _u7773, _u7772, _u7771)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7772))) )).
% 12.32/12.50 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)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u7774, _u7773, _u7772, _u7771)), _u7773)) )).
% 12.32/12.50 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)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | ( _u7771 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem127(_u7774, _u7773, _u7772, _u7771)), skolem126(_u7774, _u7773, _u7772, _u7771))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I10_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_aset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u7781, _u7780, _u7779, _u7778, _u7777)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7779))) )).
% 12.32/12.50 cnf(fact_aset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u7781, _u7780, _u7779, _u7778, _u7777)), _u7780)) )).
% 12.32/12.50 cnf(fact_aset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | ( _u7777 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem129(_u7781, _u7780, _u7779, _u7778, _u7777)), skolem128(_u7781, _u7780, _u7779, _u7778, _u7777))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I10_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u7788, _u7787, _u7786, _u7785, _u7784)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7786))) )).
% 12.32/12.50 cnf(fact_bset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u7788, _u7787, _u7786, _u7785, _u7784)), _u7787)) )).
% 12.32/12.50 cnf(fact_bset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | ( _u7784 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem131(_u7788, _u7787, _u7786, _u7785, _u7784)), skolem130(_u7788, _u7787, _u7786, _u7785, _u7784))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I9_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_aset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u7795, _u7794, _u7793, _u7792, _u7791)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7793))) )).
% 12.32/12.50 cnf(fact_aset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u7795, _u7794, _u7793, _u7792, _u7791)), _u7794)) )).
% 12.32/12.50 cnf(fact_aset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | ( _u7791 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem133(_u7795, _u7794, _u7793, _u7792, _u7791)), skolem132(_u7795, _u7794, _u7793, _u7792, _u7791))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I9_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u7802, _u7801, _u7800, _u7799, _u7798)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7800))) )).
% 12.32/12.50 cnf(fact_bset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem135(_u7802, _u7801, _u7800, _u7799, _u7798)), _u7801)) )).
% 12.32/12.50 cnf(fact_bset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | ( _u7798 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem135(_u7802, _u7801, _u7800, _u7799, _u7798)), skolem134(_u7802, _u7801, _u7800, _u7799, _u7798))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7803)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803) = 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, _u7803)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7805), _u7806)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7804), _u7807), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7805, _u7806)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7804), hAPP(_u7807, _u7805)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7804), _u7807), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7805, _u7806)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_Ostrict__monoI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_Ostrict__monoI-1, axiom, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem136(_u7811, _u7810)), skolem137(_u7811, _u7810))) )).
% 12.32/12.50 cnf(fact_dvd_Ostrict__monoI-2, axiom, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem137(_u7811, _u7810)), skolem136(_u7811, _u7810))) )).
% 12.32/12.50 cnf(fact_dvd_Ostrict__monoI-3, axiom, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7810), hAPP(_u7811, skolem136(_u7811, _u7810))), hAPP(_u7811, skolem137(_u7811, _u7810)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7812) | ( hAPP(c_Set_Oimage(_u7812, _u7812, c_Groups_Ouminus__class_Ouminus(_u7812)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7812, _u7813), _u7814)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7812, hAPP(c_Groups_Ouminus__class_Ouminus(_u7812), _u7814), hAPP(c_Groups_Ouminus__class_Ouminus(_u7812), _u7813))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7815) | ( hAPP(c_Set_Oimage(_u7815, _u7815, c_Groups_Ouminus__class_Ouminus(_u7815)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7815, _u7816, _u7817)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7815, hAPP(c_Groups_Ouminus__class_Ouminus(_u7815), _u7817)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7815), _u7816))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7825, tc_HOL_Obool)), _u7827), hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), _u7833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7829, tc_HOL_Obool)), skolem138(_u7833, _u7831, _u7829, _u7827, _u7825)), _u7833)) )).
% 12.32/12.50 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7825, tc_HOL_Obool)), _u7827), hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), _u7833))) | ( _u7827 = hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), skolem138(_u7833, _u7831, _u7829, _u7827, _u7825))) )).
% 12.32/12.50 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7830, tc_HOL_Obool)), _u7819), _u7834)) | ( _u7828 != hAPP(c_Set_Oimage(_u7830, _u7826, _u7832), _u7819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7826, tc_HOL_Obool)), _u7828), hAPP(c_Set_Oimage(_u7830, _u7826, _u7832), _u7834))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7835, tc_HOL_Obool)), _u7836), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7838, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7835, _u7838, _u7839), _u7836)), hAPP(c_Set_Oimage(_u7835, _u7838, _u7839), _u7837))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7842), _u7844)) | 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)), _u7842)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7844))) )).
% 12.32/12.50 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)), _u7843)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7843), _u7845)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__image ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u7846, _u7847, _u7848), hAPP(c_Set_Oimage(_u7849, _u7846, _u7850), _u7851)) = hAPP(c_Set_Oimage(_u7849, _u7847, hAPP(hAPP(c_COMBB(_u7846, _u7847, _u7849), _u7848), _u7850)), _u7851)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7854), _u7856)) | 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)), _u7854)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7856))) )).
% 12.32/12.50 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)), _u7855)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7855), _u7857)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u7860 != _u7862) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7860) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7862)) )).
% 12.32/12.50 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)), _u7861) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7863)) | ( _u7861 = _u7863) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7864, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7864, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), _u7867)), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), _u7868))), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7865, tc_HOL_Obool)), _u7867), _u7868)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7869) | ( hAPP(c_Set_Oimage(_u7869, _u7869, c_Groups_Ouminus__class_Ouminus(_u7869)), c_SetInterval_Oord__class_OatLeastAtMost(_u7869, _u7870, _u7871)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7869, hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7871), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7872), _u7873) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7872, _u7873)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7874) | ~class_Groups_Ocomm__monoid__mult(_u7874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7874), _u7875), _u7876) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7874), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7874, tc_Int_Oint), _u7875), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7876))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7877) | ~c_Nat__Transfer_Ois__nat(_u7878) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7877, _u7878) = 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, _u7877), hAPP(c_Int_Onat, _u7878)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7880, tc_Nat_Onat), _u7881), _u7882) != hAPP(c_Nat_OSuc, _u7883)) | hBOOL(hAPP(hAPP(c_member(_u7880), skolem139(_u7883, _u7882, _u7881, _u7880)), _u7882)) )).
% 12.32/12.50 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7880, tc_Nat_Onat), _u7881), _u7882) != hAPP(c_Nat_OSuc, _u7883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7881, skolem139(_u7883, _u7882, _u7881, _u7880)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7886), _u7888), skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885))) )).
% 12.32/12.50 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7886), skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885)), _u7890)) )).
% 12.32/12.50 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | ( hAPP(_u7891, skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885)) != hAPP(_u7892, skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7893, _u7894)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7894), _u7893)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7895) | ( hAPP(c_Set_Oimage(_u7895, _u7895, c_Groups_Ouminus__class_Ouminus(_u7895)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7895), _u7896)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7895), hAPP(c_Groups_Ouminus__class_Ouminus(_u7895), _u7896))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7897, _u7898)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7898), _u7897))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7899) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7900) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7901)) | ( _u7900 = _u7901) )).
% 12.32/12.50 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7899) | ( _u7900 != _u7901) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7900) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7901)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 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, _u7902), _u7903)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7902)), hAPP(c_Nat_OSuc, _u7903))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 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, _u7904, _u7905)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7904), hAPP(c_Nat_OSuc, _u7905))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7906)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7907), _u7908)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7907), _u7906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7908), _u7906))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7909)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7910, _u7911)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7910), _u7909), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7911), _u7909))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7912), _u7913) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7912), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7913)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7914)) = _u7914) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7916)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7915), _u7917), _u7916)) )).
% 12.32/12.50 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7915), _u7917), _u7916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7916)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7917))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u7918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7919, _u7918), hAPP(c_COMBK(_u7918, _u7919), _u7920)), _u7921) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7918), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7918), hAPP(c_Finite__Set_Ocard(_u7919), _u7921))), _u7920)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7922)) = hAPP(c_Int_Onat, _u7922)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7923), _u7924)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7924), _u7923))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7925, _u7926) = 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), _u7925), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7926)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 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), _u7927), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7928) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7927, _u7928)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u7929)), 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), _u7930), _u7929))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7929), _u7930)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7931) | ( hAPP(c_Set_Oimage(_u7931, _u7931, c_Groups_Ouminus__class_Ouminus(_u7931)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7931), _u7932)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7931), hAPP(c_Groups_Ouminus__class_Ouminus(_u7931), _u7932))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7933, _u7934)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7934), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7933), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Body__sound__lemma ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Body__sound__lemma-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u7935, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7935), tc_HOL_Obool)), _u7936), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), c_Com_Ocom_OBODY)), _u7938)), _u7939)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), 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))), _u7938)), _u7939)) | c_Hoare__Mirabelle_Ohoare__valids(_u7935, _u7936, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), c_Com_Ocom_OBODY)), _u7938)), _u7939)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7940) | ~class_Groups_Ocomm__monoid__mult(_u7940) | ~c_Nat__Transfer_Onat__set(_u7941) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7940), _u7942), _u7941) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7940), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7940, tc_Nat_Onat), _u7942), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7941))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7943) | ~c_Nat__Transfer_Onat__set(_u7944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7943), _u7944)) | 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), _u7943)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7944))) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7943) | ~c_Nat__Transfer_Onat__set(_u7944) | ~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), _u7943)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7943), _u7944)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7948, tc_HOL_Obool)), _u7947), _u7945), _u7946)) | ~hBOOL(hAPP(_u7945, _u7946)) )).
% 12.32/12.50 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7948, tc_HOL_Obool)), _u7947), _u7945), _u7946)) | ~hBOOL(hAPP(_u7947, _u7946)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u7950, _u7952)) | hBOOL(hAPP(_u7951, _u7952)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7949, tc_HOL_Obool)), _u7950), _u7951), _u7952)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7953) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7953) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7953))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7954, tc_HOL_Obool)), _u7957), _u7958)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7955, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), _u7957)), hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), _u7958))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7959)) = _u7959) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7960), _u7961), _u7962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7960), _u7961), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7960), _u7962), _u7963))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7964), _u7965), _u7966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7964), _u7965), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7964), _u7967), _u7966))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), _u7969), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), _u7971), _u7972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7968, tc_HOL_Obool)), _u7969), _u7971)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7968, tc_HOL_Obool)), _u7970), _u7972))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), _u7974), _u7975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), _u7976), _u7975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7973, tc_HOL_Obool)), _u7974), _u7976)), _u7975)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7977, tc_HOL_Obool)), _u7978), _u7979)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7977, tc_HOL_Obool)), _u7979), _u7978) = _u7979) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7980, tc_HOL_Obool)), _u7981), _u7982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7980, tc_HOL_Obool)), _u7981), _u7982) = _u7982) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7990)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7990) = _u7990) )).
% 12.32/12.50 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7987, tc_HOL_Obool)), _u7989), _u7991) != _u7991) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7987, tc_HOL_Obool)), _u7989), _u7991)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7992, tc_HOL_Obool)), _u7993), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7993))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7995, tc_HOL_Obool)), _u7996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7995, tc_HOL_Obool)), _u7996), _u7997))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u7998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7998), _u7999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7998), _u7999), _u8000))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8001) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), _u8002), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8001), _u8002), _u8003))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u8004) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8004), _u8005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8004), _u8006), _u8005))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8007) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), _u8008), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8007), _u8009), _u8008))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), _u8011), _u8012)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8010), _u8011), _u8012) = _u8012) )).
% 12.32/12.50 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8010) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8010), _u8011), _u8012) != _u8012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), _u8011), _u8012)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8014), _u8016)) )).
% 12.32/12.50 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8015), _u8016)) )).
% 12.32/12.50 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8014), _u8016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8015), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8017), _u8018), _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8017), _u8018), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8017), _u8019), _u8020))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8021), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8021), _u8022), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8021), _u8024), _u8023))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8025) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8025), _u8026), _u8027)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8025), _u8026), _u8027) = _u8027) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8028), _u8029), _u8030)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8028), _u8030), _u8029) = _u8030) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8031) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), _u8032), _u8033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), _u8034), _u8033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8031), _u8032), _u8034)), _u8033)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), _u8036), _u8037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), _u8038), _u8037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8035), _u8036), _u8038)), _u8037)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), _u8040), _u8041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), _u8042), _u8043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8039), _u8040), _u8042)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8039), _u8041), _u8043))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8044), _u8045), _u8046)), _u8047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8045), _u8047)) )).
% 12.32/12.50 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8044), _u8045), _u8046)), _u8047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8046), _u8047)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8048) | ~class_Orderings_Olinorder(_u8048) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8048) = c_Orderings_Oord__class_Omax(_u8048)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u8049) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8049), _u8050), _u8050) = _u8050) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8051, tc_HOL_Obool)), _u8052), _u8053)), _u8054) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8051, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), _u8052), _u8054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), _u8053), _u8054))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8055, tc_HOL_Obool)), _u8056), _u8057)), _u8057) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8056), _u8057)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8058, tc_HOL_Obool)), _u8059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8058, tc_HOL_Obool)), _u8060), _u8059)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8058, tc_HOL_Obool)), _u8059), _u8060)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8061) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8062, _u8061)), _u8063), _u8064), _u8065) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8061), hAPP(_u8063, _u8065)), hAPP(_u8064, _u8065))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u8066) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8067, _u8066)), _u8068), _u8069), _u8070) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8066), hAPP(_u8068, _u8070)), hAPP(_u8069, _u8070))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8071) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8072), _u8073)), _u8074) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8072), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8073), _u8074))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u8075) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8076), _u8077)), _u8078) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8076), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8077), _u8078))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8079) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8080), _u8081)), _u8082) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8080), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8081), _u8082))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8083) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8084), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8085), _u8086)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8084), _u8086))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u8087) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8088), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8089), _u8090)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8089), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8088), _u8090))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8091) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8093), _u8094)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8093), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8092), _u8094))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8095) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), _u8097)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), _u8097)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u8098) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), _u8100)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), _u8100)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8101) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), _u8103)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), _u8103)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8104) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8104), _u8105), _u8106) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8104), _u8106), _u8105)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u8107) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8107), _u8108), _u8109) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8107), _u8109), _u8108)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8110) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8110), _u8111), _u8112) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8110), _u8112), _u8111)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8113) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8113), _u8114), _u8114) = _u8114) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8115) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8115), _u8116), _u8116) = _u8116) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8127), skolem141(_u8133, _u8131, _u8129, _u8127)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8127, tc_HOL_Obool)), _u8129), _u8131))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8118), _u8129)) | hBOOL(hAPP(_u8133, _u8118)) )).
% 12.32/12.50 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8127), skolem141(_u8133, _u8131, _u8129, _u8127)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8127, tc_HOL_Obool)), _u8129), _u8131))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8119), _u8131)) | hBOOL(hAPP(_u8133, _u8119)) )).
% 12.32/12.50 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u8133, skolem141(_u8133, _u8131, _u8129, _u8127))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8118), _u8129)) | hBOOL(hAPP(_u8133, _u8118)) )).
% 12.32/12.50 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u8133, skolem141(_u8133, _u8131, _u8129, _u8127))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8119), _u8131)) | hBOOL(hAPP(_u8133, _u8119)) )).
% 12.32/12.50 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem142(_u8134, _u8132, _u8130, _u8128)), _u8130)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem143(_u8134, _u8132, _u8130, _u8128)), _u8132)) )).
% 12.32/12.50 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem142(_u8134, _u8132, _u8130, _u8128)), _u8130)) | ~hBOOL(hAPP(_u8134, skolem143(_u8134, _u8132, _u8130, _u8128))) )).
% 12.32/12.50 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | ~hBOOL(hAPP(_u8134, skolem142(_u8134, _u8132, _u8130, _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem143(_u8134, _u8132, _u8130, _u8128)), _u8132)) )).
% 12.32/12.50 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | ~hBOOL(hAPP(_u8134, skolem142(_u8134, _u8132, _u8130, _u8128))) | ~hBOOL(hAPP(_u8134, skolem143(_u8134, _u8132, _u8130, _u8128))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem144(_u8151, _u8149, _u8147, _u8145)), _u8147)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem145(_u8151, _u8149, _u8147, _u8145)), _u8149)) )).
% 12.32/12.50 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem144(_u8151, _u8149, _u8147, _u8145)), _u8147)) | hBOOL(hAPP(_u8151, skolem145(_u8151, _u8149, _u8147, _u8145))) )).
% 12.32/12.50 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(_u8151, skolem144(_u8151, _u8149, _u8147, _u8145))) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem145(_u8151, _u8149, _u8147, _u8145)), _u8149)) )).
% 12.32/12.50 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(_u8151, skolem144(_u8151, _u8149, _u8147, _u8145))) | hBOOL(hAPP(_u8151, skolem145(_u8151, _u8149, _u8147, _u8145))) )).
% 12.32/12.50 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8138), _u8148)) | ~hBOOL(hAPP(_u8152, _u8138)) | hBOOL(hAPP(hAPP(c_member(_u8146), skolem146(_u8152, _u8150, _u8148, _u8146)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8150))) )).
% 12.32/12.50 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8138), _u8148)) | ~hBOOL(hAPP(_u8152, _u8138)) | hBOOL(hAPP(_u8152, skolem146(_u8152, _u8150, _u8148, _u8146))) )).
% 12.32/12.50 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8139), _u8150)) | ~hBOOL(hAPP(_u8152, _u8139)) | hBOOL(hAPP(hAPP(c_member(_u8146), skolem146(_u8152, _u8150, _u8148, _u8146)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8150))) )).
% 12.32/12.50 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8139), _u8150)) | ~hBOOL(hAPP(_u8152, _u8139)) | hBOOL(hAPP(_u8152, skolem146(_u8152, _u8150, _u8148, _u8146))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8154), _u8155)), _u8156) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8155), _u8156))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8158), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8159), _u8160)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8158), _u8160))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), _u8163)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), _u8163)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8164, tc_HOL_Obool)), _u8165), _u8166) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8164, tc_HOL_Obool)), _u8166), _u8165)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8167, tc_HOL_Obool)), _u8168), _u8168) = _u8168) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u8169, _u8170)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8171, tc_HOL_Obool)), _u8172), _u8169), _u8170)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u8173, _u8174)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8175, tc_HOL_Obool)), _u8173), _u8176), _u8174)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8177) | ~c_Nat__Transfer_Onat__set(_u8178) | ( _u8177 != _u8178) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8177) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8178)) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8177) | ~c_Nat__Transfer_Onat__set(_u8178) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8177) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8178)) | ( _u8177 = _u8178) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u8179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8179), _u8180), _u8181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8179), _u8181), _u8182)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8179, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8179, _u8180, _u8181)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8179, _u8181), _u8182)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8179, _u8180, _u8182)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u8183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8183), _u8184), _u8185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8183), _u8185), _u8186)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8183, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8183, _u8184, _u8185)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8185, _u8186)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8184, _u8186)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u8187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8187), _u8188), _u8189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8187), _u8189), _u8190)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8187, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8188), _u8189)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8189), _u8190)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8188), _u8190)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8195, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8195, tc_HOL_Obool)), _u8197), _u8199)), _u8201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8195, tc_HOL_Obool)), _u8197), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8195, tc_HOL_Obool)), _u8199), _u8201))) )).
% 12.32/12.50 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8196, tc_HOL_Obool)), _u8198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8196, tc_HOL_Obool)), _u8200), _u8202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8196, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8196, tc_HOL_Obool)), _u8198), _u8200)), _u8202)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8203, tc_HOL_Obool)), _u8204), _u8205)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8203, tc_HOL_Obool)), _u8204), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8203, tc_HOL_Obool)), _u8205), _u8204)) = _u8205) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8206), _u8207)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8207), _u8206)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8208), _u8209), _u8210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8208), _u8210), _u8211)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8208, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8209, _u8210)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8210, _u8211)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8209, _u8211)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8212, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8212, tc_HOL_Obool)), _u8213), _u8214)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8212, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8212, tc_HOL_Obool)), _u8213)), _u8214)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u8215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8215), _u8216), _u8217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8215), _u8217), _u8218)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8215, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8215, _u8216, _u8217)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8215, _u8217, _u8218)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8215, _u8216), _u8218)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u8219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8219), _u8220), _u8221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8219), _u8221), _u8222)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8219, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8219, _u8220, _u8221)), c_SetInterval_Oord__class_OatLeastAtMost(_u8219, _u8221, _u8222)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8219, _u8220, _u8222)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8223, _u8224)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8224), _u8223)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8228) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8225), _u8228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8225)) )).
% 12.32/12.50 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u8229) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u8229)), _u8229)) )).
% 12.32/12.50 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u8229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem147(_u8229))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8230) | ( hAPP(c_Set_Oimage(_u8230, _u8230, c_Groups_Ouminus__class_Ouminus(_u8230)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8230, _u8231, _u8232)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8230, hAPP(c_Groups_Ouminus__class_Ouminus(_u8230), _u8232), hAPP(c_Groups_Ouminus__class_Ouminus(_u8230), _u8231))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u8233)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8234) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8234, _u8235)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8236, _u8237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8237)), _u8236)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u8238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8238), _u8239), _u8240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8238), _u8240), _u8241)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8238, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8238, _u8239), _u8240)), c_SetInterval_Oord__class_OatLeastAtMost(_u8238, _u8240, _u8241)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8238, _u8239, _u8241)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u8242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8242), _u8243), _u8244)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8242, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8242), _u8243)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8242, _u8243), _u8244)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8242), _u8244)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u8245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8245), _u8246), _u8247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8245), _u8247), _u8248)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8245, _u8246, _u8247)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8245, _u8247, _u8248)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8245, _u8246, _u8248)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u8249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8250), _u8251)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8249, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8249, _u8250, _u8251)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8249), _u8251)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8249), _u8250)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8252) = 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)), _u8252))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u8253), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8254), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8253))))) | ( _u8253 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8254), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8253)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u8255)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8255, _u8256)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8257) | ( 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), _u8257)) = _u8257) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 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), _u8258), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8259) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8258, _u8259)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8260) | ~c_Nat__Transfer_Onat__set(_u8261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8260), _u8261)) | 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), _u8260)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8261))) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8260) | ~c_Nat__Transfer_Onat__set(_u8261) | ~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), _u8260)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8260), _u8261)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_OBody ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_OBody-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8262, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8262), tc_HOL_Obool)), _u8263), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), c_Com_Ocom_OBODY)), _u8265)), _u8266)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), 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))), _u8265)), _u8266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8262, _u8263, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), c_Com_Ocom_OBODY)), _u8265)), _u8266)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8267) = 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), _u8267)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u8268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8268), _u8269), _u8270)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8268, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8268, _u8269, _u8270)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8268), _u8270)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8268), _u8269)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8271), _u8272), _u8273)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8271, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8271), _u8272)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8271, _u8272, _u8273)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8271), _u8273)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8274) | ~c_Nat__Transfer_Onat__set(_u8275) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8274), _u8275)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_cut ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8277, _u8278) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8279, _u8277) | c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8279, _u8278) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8280) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8281) != hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8282)) | ( _u8281 = _u8282) )).
% 12.32/12.50 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8280) | ( _u8281 != _u8282) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8281) = hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8282)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8283) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8284) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8285)) | ( _u8284 = _u8285) )).
% 12.32/12.50 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8283) | ( _u8284 != _u8285) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8284) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8285)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_thin ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8286, _u8287, _u8288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8286), tc_HOL_Obool)), _u8287), _u8289)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8286, _u8289, _u8288) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_weaken ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8290, _u8291, _u8292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8290), tc_HOL_Obool)), _u8293), _u8292)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8290, _u8291, _u8293) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_asm ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8294), tc_HOL_Obool)), _u8295), _u8296)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8294, _u8296, _u8295) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8297)) = hAPP(c_Nat_OSuc, _u8297)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8298) | ( hAPP(c_Set_Oimage(_u8298, _u8298, c_Groups_Ouminus__class_Ouminus(_u8298)), hAPP(c_SetInterval_Oord__class_OatMost(_u8298), _u8299)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8298), hAPP(c_Groups_Ouminus__class_Ouminus(_u8298), _u8299))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8300) | ( hAPP(c_Set_Oimage(_u8300, _u8300, c_Groups_Ouminus__class_Ouminus(_u8300)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8300), _u8301)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8300), hAPP(c_Groups_Ouminus__class_Ouminus(_u8300), _u8301))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8302)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8302)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u8303), _u8304) = 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)), _u8303)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8304)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8305) | ~c_Nat__Transfer_Onat__set(_u8306) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8305), _u8306) = 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), _u8305)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8306)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8307) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8307)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8308, _u8309)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8309), hAPP(c_Nat_OSuc, _u8308))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8310)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8310)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8311)), _u8312) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8311, _u8312)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8314)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8313), _u8315), _u8314)) )).
% 12.32/12.50 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8313), _u8315), _u8314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8314)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8315))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8316, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8317)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8316), _u8317), _u8318)) )).
% 12.32/12.50 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8316), _u8317), _u8318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8316, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8317)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8318))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8319), _u8320)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8320), _u8321)) = 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, _u8319), _u8320)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8320), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8320), _u8321)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8322) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8322), _u8323)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8322), _u8323)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u8324) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8324, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8324), _u8325)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8324), _u8325)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u8326) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8326, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8326), _u8327)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8326), _u8327)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u8328) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8328), _u8329)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8328), _u8329)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8330) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8330), _u8331), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8332))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8330), _u8331), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8332))), hAPP(_u8331, hAPP(c_Nat_OSuc, _u8332)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8333, _u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8333), _u8335)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8333), _u8334)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u8336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8337), _u8338)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8336, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8336), _u8337)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8336, _u8337, _u8338)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8336), _u8338)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u8339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8339), _u8340), _u8341)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8339, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8339), _u8340)), c_SetInterval_Oord__class_OatLeastAtMost(_u8339, _u8340, _u8341)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8339), _u8341)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u8342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8342), _u8343), _u8344)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8342, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8342, _u8343, _u8344)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8342), _u8344)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8342), _u8343)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8346) | ~class_Groups_Ocomm__monoid__mult(_u8346) | ( _u8347 != _u8348) | ~c_Nat__Transfer_Onat__set(_u8348) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8349), _u8347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8350), _u8348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem148(_u8350, _u8349, _u8348, _u8347, _u8346))) )).
% 12.32/12.50 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8346) | ~class_Groups_Ocomm__monoid__mult(_u8346) | ( _u8347 != _u8348) | ~c_Nat__Transfer_Onat__set(_u8348) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8349), _u8347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8350), _u8348)) | ( hAPP(_u8349, skolem148(_u8350, _u8349, _u8348, _u8347, _u8346)) != hAPP(_u8350, skolem148(_u8350, _u8349, _u8348, _u8347, _u8346))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8352)), _u8353) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8351, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8351, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8352)), _u8353)), hAPP(_u8353, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8364), _u8360)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8362)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8362)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8364), _u8360)) )).
% 12.32/12.50 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8364)) )).
% 12.32/12.50 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8359), _u8361)) )).
% 12.32/12.50 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8359)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8361), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8359), _u8363)) )).
% 12.32/12.50 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8359)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8361), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8365), _u8361)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OmonoI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OmonoI-1, axiom, ( ~class_Orderings_Oorder(_u8368) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8368, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8369) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem149(_u8369, _u8368)), skolem150(_u8369, _u8368))) )).
% 12.32/12.50 cnf(fact_dvd_OmonoI-2, axiom, ( ~class_Orderings_Oorder(_u8368) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8368, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8368), hAPP(_u8369, skolem149(_u8369, _u8368))), hAPP(_u8369, skolem150(_u8369, _u8368)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8377, tc_fun(_u8379, tc_HOL_Obool)), _u8381), _u8383), _u8385)) | hBOOL(hAPP(hAPP(c_member(_u8377), skolem151(_u8385, _u8383, _u8381, _u8379, _u8377)), _u8381)) )).
% 12.32/12.50 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8377, tc_fun(_u8379, tc_HOL_Obool)), _u8381), _u8383), _u8385)) | hBOOL(hAPP(hAPP(_u8383, skolem151(_u8385, _u8383, _u8381, _u8379, _u8377)), _u8385)) )).
% 12.32/12.50 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8378), _u8371), _u8382)) | ~hBOOL(hAPP(hAPP(_u8384, _u8371), _u8386)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8378, tc_fun(_u8380, tc_HOL_Obool)), _u8382), _u8384), _u8386)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8388)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool), tc_Nat_Onat), _u8389), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8390))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8390, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8388), _u8390))), _u8389)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 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), _u8395, _u8397)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399, _u8401))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8395), _u8397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399), _u8395)) )).
% 12.32/12.50 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), _u8395, _u8397)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399, _u8401))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8395), _u8397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8397), _u8401)) )).
% 12.32/12.50 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), _u8396, _u8398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400, _u8402))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8396), _u8398)) )).
% 12.32/12.50 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), _u8396, _u8398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400, _u8402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400), _u8396)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8398), _u8402)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8404, tc_HOL_Obool)), _u8405), _u8406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8404, _u8403), _u8405), _u8407)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8404, _u8403), _u8406), _u8407))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8409, tc_fun(_u8408, tc_HOL_Obool)), _u8410), _u8411)), _u8412) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8409, tc_fun(_u8408, tc_HOL_Obool)), _u8410), hAPP(hAPP(c_COMBC(_u8409, tc_fun(_u8408, tc_HOL_Obool), tc_fun(_u8408, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8408, tc_HOL_Obool), tc_fun(tc_fun(_u8408, tc_HOL_Obool), tc_fun(_u8408, tc_HOL_Obool)), _u8409), c_Groups_Ominus__class_Ominus(tc_fun(_u8408, tc_HOL_Obool))), _u8411)), _u8412))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8413, tc_fun(_u8414, tc_HOL_Obool)), _u8415), hAPP(hAPP(c_COMBC(_u8413, tc_fun(_u8414, tc_HOL_Obool), tc_fun(_u8414, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8414, tc_HOL_Obool), tc_fun(tc_fun(_u8414, tc_HOL_Obool), tc_fun(_u8414, tc_HOL_Obool)), _u8413), c_Groups_Ominus__class_Ominus(tc_fun(_u8414, tc_HOL_Obool))), _u8416)), _u8417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8414, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8413, tc_fun(_u8414, tc_HOL_Obool)), _u8415), _u8416)), _u8417)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8418) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8419, tc_fun(_u8420, _u8418)), _u8421), _u8422), _u8423) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8419, _u8418), _u8421), hAPP(hAPP(c_COMBC(_u8419, _u8420, _u8418), _u8422), _u8423))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8437), _u8426), _u8439)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8425), hAPP(_u8441, _u8426))) | hBOOL(hAPP(_u8443, _u8425)) | hBOOL(hAPP(hAPP(c_member(_u8435), skolem152(_u8443, _u8441, _u8439, _u8437, _u8435)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8437, tc_fun(_u8435, tc_HOL_Obool)), _u8439), _u8441))) )).
% 12.32/12.50 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8437), _u8426), _u8439)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8425), hAPP(_u8441, _u8426))) | hBOOL(hAPP(_u8443, _u8425)) | ~hBOOL(hAPP(_u8443, skolem152(_u8443, _u8441, _u8439, _u8437, _u8435))) )).
% 12.32/12.50 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | hBOOL(hAPP(hAPP(c_member(_u8438), skolem153(_u8444, _u8442, _u8440, _u8438, _u8436)), _u8440)) )).
% 12.32/12.50 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | hBOOL(hAPP(hAPP(c_member(_u8436), skolem154(_u8444, _u8442, _u8440, _u8438, _u8436)), hAPP(_u8442, skolem153(_u8444, _u8442, _u8440, _u8438, _u8436)))) )).
% 12.32/12.50 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | ~hBOOL(hAPP(_u8444, skolem154(_u8444, _u8442, _u8440, _u8438, _u8436))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8445) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8446, _u8445), _u8447), hAPP(hAPP(c_COMBB(tc_fun(_u8448, _u8445), _u8445, _u8446), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8448, _u8445), _u8449)), _u8450)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8448, _u8445), _u8449), hAPP(hAPP(c_COMBB(tc_fun(_u8446, _u8445), _u8445, _u8448), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8446, _u8445), _u8447)), hAPP(c_COMBC(_u8446, _u8448, _u8445), _u8450)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8452, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8453, tc_fun(_u8451, tc_HOL_Obool)), _u8454), _u8455)), _u8456) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8453, tc_fun(_u8452, tc_HOL_Obool)), _u8454), hAPP(hAPP(c_COMBC(_u8453, tc_fun(_u8451, tc_fun(_u8452, tc_HOL_Obool)), tc_fun(_u8452, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8451, tc_HOL_Obool), tc_fun(tc_fun(_u8451, tc_fun(_u8452, tc_HOL_Obool)), tc_fun(_u8452, tc_HOL_Obool)), _u8453), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8452, tc_HOL_Obool))), _u8455)), _u8456))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8457, tc_fun(_u8458, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8459, tc_fun(_u8457, tc_HOL_Obool)), _u8460), _u8461)), _u8462) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8459, tc_fun(_u8458, tc_HOL_Obool)), _u8460), hAPP(hAPP(c_COMBC(_u8459, tc_fun(_u8457, tc_fun(_u8458, tc_HOL_Obool)), tc_fun(_u8458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8457, tc_HOL_Obool), tc_fun(tc_fun(_u8457, tc_fun(_u8458, tc_HOL_Obool)), tc_fun(_u8458, tc_HOL_Obool)), _u8459), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8457, tc_fun(_u8458, tc_HOL_Obool))), _u8461)), _u8462))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8463, tc_fun(_u8464, tc_HOL_Obool)), _u8465), hAPP(hAPP(c_COMBC(_u8463, tc_fun(_u8466, tc_fun(_u8464, tc_HOL_Obool)), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8466, tc_HOL_Obool), tc_fun(tc_fun(_u8466, tc_fun(_u8464, tc_HOL_Obool)), tc_fun(_u8464, tc_HOL_Obool)), _u8463), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8466, tc_fun(_u8464, tc_HOL_Obool))), _u8467)), _u8468)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8466, tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8463, tc_fun(_u8466, tc_HOL_Obool)), _u8465), _u8467)), _u8468)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8469), _u8473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(_u8474, _u8469)), _u8475)) )).
% 12.32/12.50 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | hBOOL(hAPP(hAPP(c_member(_u8472), skolem155(_u8475, _u8474, _u8473, _u8472, _u8471)), _u8473)) )).
% 12.32/12.50 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(_u8474, skolem155(_u8475, _u8474, _u8473, _u8472, _u8471))), _u8475)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) | hBOOL(hAPP(hAPP(c_member(_u8480), skolem156(_u8482, _u8481, _u8480, _u8479, _u8478)), _u8481)) )).
% 12.32/12.50 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(_u8482, skolem156(_u8482, _u8481, _u8480, _u8479, _u8478)))) )).
% 12.32/12.50 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_member(_u8480), _u8477), _u8481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(_u8482, _u8477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8490, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8492, tc_fun(_u8490, tc_HOL_Obool)), _u8494), _u8496)), _u8498)) | ~hBOOL(hAPP(hAPP(c_member(_u8492), _u8483), _u8494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8490, tc_HOL_Obool)), hAPP(_u8496, _u8483)), _u8498)) )).
% 12.32/12.50 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8493, tc_fun(_u8491, tc_HOL_Obool)), _u8495), _u8497)), _u8499)) | hBOOL(hAPP(hAPP(c_member(_u8493), skolem157(_u8499, _u8497, _u8495, _u8493, _u8491)), _u8495)) )).
% 12.32/12.50 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8493, tc_fun(_u8491, tc_HOL_Obool)), _u8495), _u8497)), _u8499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(_u8497, skolem157(_u8499, _u8497, _u8495, _u8493, _u8491))), _u8499)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool)), _u8502), hAPP(hAPP(c_COMBB(_u8503, tc_fun(_u8501, tc_HOL_Obool), _u8500), _u8504), _u8505)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8503, tc_fun(_u8501, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8500, _u8503, _u8505), _u8502)), _u8504)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u8506, _u8507, _u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, tc_fun(_u8506, tc_HOL_Obool)), _u8510), _u8511)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, tc_fun(_u8507, tc_HOL_Obool)), _u8510), hAPP(hAPP(c_COMBB(tc_fun(_u8506, tc_HOL_Obool), tc_fun(_u8507, tc_HOL_Obool), _u8509), c_Set_Oimage(_u8506, _u8507, _u8508)), _u8511))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8512, tc_fun(_u8513, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8514, _u8512, _u8515), _u8516)), _u8517) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8514, tc_fun(_u8513, tc_HOL_Obool)), _u8516), hAPP(hAPP(c_COMBB(_u8512, tc_fun(_u8513, tc_HOL_Obool), _u8514), _u8517), _u8515))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8518, tc_HOL_Obool)), _u8520), _u8521)), _u8522) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8519, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), _u8520), _u8522)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), _u8521), _u8522))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), hAPP(hAPP(c_COMBS(_u8523, tc_fun(_u8524, tc_HOL_Obool), tc_fun(_u8524, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8524, tc_HOL_Obool), tc_fun(tc_fun(_u8524, tc_HOL_Obool), tc_fun(_u8524, tc_HOL_Obool)), _u8523), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8524, tc_HOL_Obool))), _u8526)), _u8527)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8524, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), _u8526)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), _u8527))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 12.32/12.50 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | 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), skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530)))) )).
% 12.32/12.50 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530))) | hBOOL(hAPP(hAPP(_u8532, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem158(_u8532, _u8531, _u8530)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem159(_u8532, _u8531, _u8530))) )).
% 12.32/12.50 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(_u8532, skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u8533, _u8533, c_COMBI(_u8533)), _u8534) = _u8534) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8535)) = 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), _u8535)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_top1I ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8536, tc_HOL_Obool)), _u8537)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u8538) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8539, _u8538)), _u8540) = c_Orderings_Otop__class_Otop(_u8538)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__code-1, axiom, ( ( _u8547 = _u8551) | hBOOL(hAPP(_u8549, _u8551)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8545), _u8547), _u8549), _u8551)) )).
% 12.32/12.50 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8546), _u8548), _u8550), _u8552)) | ( _u8548 != _u8552) )).
% 12.32/12.50 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8546), _u8548), _u8550), _u8552)) | ~hBOOL(hAPP(_u8550, _u8552)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8553), _u8554), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8555), _u8556)) = hAPP(hAPP(c_Set_Oinsert(_u8553), _u8555), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8554), _u8556))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), _u8559)) = hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), _u8559)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u8560, _u8561, _u8562), hAPP(hAPP(c_Set_Oinsert(_u8560), _u8563), _u8564)) = hAPP(hAPP(c_Set_Oinsert(_u8561), hAPP(_u8562, _u8563)), hAPP(c_Set_Oimage(_u8560, _u8561, _u8562), _u8564))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8565, tc_HOL_Obool)), _u8566), c_Orderings_Otop__class_Otop(tc_fun(_u8565, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8567, tc_HOL_Obool)), _u8568), hAPP(hAPP(c_Set_Oinsert(_u8567), _u8569), _u8568))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8570, tc_HOL_Obool)), _u8571), _u8572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8570, tc_HOL_Obool)), _u8571), hAPP(hAPP(c_Set_Oinsert(_u8570), _u8573), _u8572))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8574, tc_HOL_Obool)), _u8575), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8574, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8574), _u8577), _u8575)), hAPP(hAPP(c_Set_Oinsert(_u8574), _u8577), _u8576))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8578, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))), _u8579) = c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8580, tc_HOL_Obool)), _u8581), c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8582, tc_HOL_Obool)), _u8583), hAPP(hAPP(c_Set_Oinsert(_u8582), _u8584), _u8585)) = hAPP(hAPP(c_Set_Oinsert(_u8582), _u8584), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8582, tc_HOL_Obool)), _u8583), _u8585))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8586, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8586), _u8587), _u8588)), _u8589) = hAPP(hAPP(c_Set_Oinsert(_u8586), _u8587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8586, tc_HOL_Obool)), _u8588), _u8589))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u8590, _u8591, hAPP(hAPP(c_COMBB(_u8592, _u8591, _u8590), _u8593), _u8594)), c_Orderings_Otop__class_Otop(tc_fun(_u8590, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u8592, _u8591, _u8593), hAPP(c_Set_Oimage(_u8590, _u8592, _u8594), c_Orderings_Otop__class_Otop(tc_fun(_u8590, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u8595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8595), _u8596), c_Orderings_Otop__class_Otop(_u8595))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u8597) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8597), _u8598), c_Orderings_Otop__class_Otop(_u8597)) = c_Orderings_Otop__class_Otop(_u8597)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u8599) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8599), c_Orderings_Otop__class_Otop(_u8599)), _u8600) = c_Orderings_Otop__class_Otop(_u8599)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__lessThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), c_Orderings_Otop__class_Otop(tc_fun(_u8601, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8602, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8602, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8602, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), _u8604))), hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8601, tc_HOL_Obool)), _u8604)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8605, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8605, tc_HOL_Obool)), _u8606)), _u8606) = c_Orderings_Otop__class_Otop(tc_fun(_u8605, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8607, tc_HOL_Obool)), _u8608), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8607, tc_HOL_Obool)), _u8608)) = c_Orderings_Otop__class_Otop(tc_fun(_u8607, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8609)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8609), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8609))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8610, tc_HOL_Obool)), _u8611) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8610, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8610, tc_HOL_Obool))), _u8611)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8612)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8612)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8612))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8613, tc_fun(_u8614, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8613), _u8615), _u8616)), _u8617) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8614, tc_HOL_Obool)), hAPP(_u8617, _u8615)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8613, tc_fun(_u8614, tc_HOL_Obool)), _u8616), _u8617))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8618) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8618), hAPP(c_Groups_Ouminus__class_Ouminus(_u8618), _u8619)), _u8619) = c_Orderings_Otop__class_Otop(_u8618)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8620) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8620), _u8621), hAPP(c_Groups_Ouminus__class_Ouminus(_u8620), _u8621)) = c_Orderings_Otop__class_Otop(_u8620)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8622), hAPP(c_Nat_OSuc, _u8623))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8622, hAPP(c_Nat_OSuc, _u8623)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8623)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8622, _u8623))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, 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(_u8624, tc_HOL_Obool)), tc_fun(_u8624, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool)), tc_fun(_u8624, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8625)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8625)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem160(_u8630, _u8629, _u8628, _u8627))), _u8628)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, 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), skolem160(_u8630, _u8629, _u8628, _u8627)), _u8629))), _u8630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8628)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8630))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8634), _u8636)) | ( 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)), _u8634)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8638), _u8636)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8638), _u8634)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8636), _u8634))) )).
% 12.32/12.50 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8635), _u8637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8639), _u8637)) | ( 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)), _u8635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8639), _u8637)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8635), _u8637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8639), _u8637)) | ( 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)), _u8635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8639), _u8637)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem161(_u8644, _u8643, _u8642, _u8641))), _u8642) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, 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), skolem161(_u8644, _u8643, _u8642, _u8641)), _u8643))), _u8644)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8642) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8644)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8646, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8646, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem162(_u8648, _u8647, _u8646))), _u8647)), _u8648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8646, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8646, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8647)), _u8648)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8649, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8649, tc_HOL_Obool))), _u8650)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_singleton__inject-1, axiom, ( ( _u8652 = _u8653) | ( hAPP(hAPP(c_Set_Oinsert(_u8651), _u8652), c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u8651), _u8653), c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8661 = _u8665) | ( _u8661 = _u8667) )).
% 12.32/12.50 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8661 = _u8665) | ( _u8663 = _u8665) )).
% 12.32/12.50 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8663 = _u8667) | ( _u8661 = _u8667) )).
% 12.32/12.50 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8663 = _u8667) | ( _u8663 = _u8665) )).
% 12.32/12.50 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8664), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8660), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool))))) | ( _u8662 != _u8666) | ( _u8664 != _u8668) )).
% 12.32/12.50 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8664), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8660), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool))))) | ( _u8662 != _u8668) | ( _u8664 != _u8666) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8669), _u8670), _u8671) != c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8672, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u8672), _u8673), _u8674)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8675, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8683) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( _u8681 = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8683) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( _u8683 = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_Un__empty-3, axiom, ( ( _u8682 != c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) | ( _u8684 != c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8680, tc_HOL_Obool)), _u8682), _u8684) = c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8685, tc_HOL_Obool)), _u8686), c_Orderings_Obot__class_Obot(tc_fun(_u8685, tc_HOL_Obool))) = _u8686) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8687, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8687, tc_HOL_Obool))), _u8688) = _u8688) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8691, tc_HOL_Obool)), _u8693), c_Orderings_Obot__class_Obot(tc_fun(_u8691, tc_HOL_Obool)))) | ( _u8693 = c_Orderings_Obot__class_Obot(tc_fun(_u8691, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_subset__empty-2, axiom, ( ( _u8694 != c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8692, tc_HOL_Obool)), _u8694), c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8695, tc_HOL_Obool)), _u8696), c_Orderings_Obot__class_Obot(tc_fun(_u8695, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u8701, _u8703, _u8705), _u8707) != c_Orderings_Obot__class_Obot(tc_fun(_u8703, tc_HOL_Obool))) | ( _u8707 = c_Orderings_Obot__class_Obot(tc_fun(_u8701, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_image__is__empty-2, axiom, ( ( _u8708 != c_Orderings_Obot__class_Obot(tc_fun(_u8702, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8702, _u8704, _u8706), _u8708) = c_Orderings_Obot__class_Obot(tc_fun(_u8704, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u8709, _u8710, _u8711), c_Orderings_Obot__class_Obot(tc_fun(_u8709, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty__is__image-1, axiom, ( ( _u8722 = c_Orderings_Obot__class_Obot(tc_fun(_u8718, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8716, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u8718, _u8716, _u8720), _u8722)) )).
% 12.32/12.50 cnf(fact_empty__is__image-2, axiom, ( ( _u8723 != c_Orderings_Obot__class_Obot(tc_fun(_u8719, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8717, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u8719, _u8717, _u8721), _u8723)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8725), _u8724), c_Orderings_Obot__class_Obot(tc_fun(_u8725, tc_HOL_Obool)))) | hBOOL(hAPP(_u8726, _u8724)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8727, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool))), _u8728) = c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8729, tc_HOL_Obool)), _u8730), c_Orderings_Obot__class_Obot(tc_fun(_u8729, tc_HOL_Obool))) = _u8730) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8731, tc_HOL_Obool)), _u8732), _u8732) = c_Orderings_Obot__class_Obot(tc_fun(_u8731, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u8733) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8734, _u8733)), _u8735) = c_Orderings_Obot__class_Obot(_u8733)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u8736) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8737, _u8736)), _u8738) = c_Orderings_Obot__class_Obot(_u8736)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u8739) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8739), c_Orderings_Obot__class_Obot(_u8739)), _u8740)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8741) | ( _u8742 = c_Orderings_Obot__class_Obot(tc_fun(_u8743, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8743, _u8741), _u8742), hAPP(c_COMBK(_u8741, _u8743), _u8744)) = _u8744) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8751, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8753, tc_fun(_u8751, tc_HOL_Obool)), _u8755), _u8757)) | ~hBOOL(hAPP(hAPP(c_member(_u8753), _u8745), _u8755)) | ( hAPP(_u8757, _u8745) = c_Orderings_Obot__class_Obot(tc_fun(_u8751, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8754, tc_fun(_u8752, tc_HOL_Obool)), _u8756), _u8758)) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem163(_u8758, _u8756, _u8754, _u8752)), _u8756)) )).
% 12.32/12.50 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8754, tc_fun(_u8752, tc_HOL_Obool)), _u8756), _u8758)) | ( hAPP(_u8758, skolem163(_u8758, _u8756, _u8754, _u8752)) != c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8759, tc_fun(_u8760, tc_HOL_Obool)), _u8761), hAPP(c_COMBK(tc_fun(_u8760, tc_HOL_Obool), _u8759), c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__constant-1, axiom, ( ( _u8766 != c_Orderings_Obot__class_Obot(tc_fun(_u8768, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8768, tc_fun(_u8770, tc_HOL_Obool)), _u8766), hAPP(c_COMBK(tc_fun(_u8770, tc_HOL_Obool), _u8768), _u8772)) = c_Orderings_Obot__class_Obot(tc_fun(_u8770, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UN__constant-2, axiom, ( ( _u8767 = c_Orderings_Obot__class_Obot(tc_fun(_u8769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8769, tc_fun(_u8771, tc_HOL_Obool)), _u8767), hAPP(c_COMBK(tc_fun(_u8771, tc_HOL_Obool), _u8769), _u8773)) = _u8773) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8780, tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8786) != c_Orderings_Obot__class_Obot(tc_fun(_u8782, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8780), _u8774), _u8784)) | ( hAPP(_u8786, _u8774) = c_Orderings_Obot__class_Obot(tc_fun(_u8782, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8781, tc_fun(_u8783, tc_HOL_Obool)), _u8785), _u8787) = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8781), skolem164(_u8787, _u8785, _u8783, _u8781)), _u8785)) )).
% 12.32/12.50 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8781, tc_fun(_u8783, tc_HOL_Obool)), _u8785), _u8787) = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | ( hAPP(_u8787, skolem164(_u8787, _u8785, _u8783, _u8781)) != c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8788) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8788), c_Orderings_Obot__class_Obot(_u8788)), _u8789) = _u8789) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8790) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8790), _u8791), c_Orderings_Obot__class_Obot(_u8790)) = _u8791) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8793 = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.50 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8794 = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.50 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( _u8793 != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8794 != c_Orderings_Obot__class_Obot(_u8792)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8795) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8796, _u8795), _u8797), c_Orderings_Obot__class_Obot(tc_fun(_u8796, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u8795)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8798) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8799, _u8798), _u8800), c_Orderings_Obot__class_Obot(tc_fun(_u8799, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u8798)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8801, tc_HOL_Obool)), _u8802), hAPP(hAPP(c_Set_Oinsert(_u8801), _u8803), c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool))))) | ( _u8802 = c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool))) | ( _u8802 = hAPP(hAPP(c_Set_Oinsert(_u8801), _u8803), c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8804), _u8805), _u8806) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8804, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8804), _u8805), c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool)))), _u8806)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u8807) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8807, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u8807, _u8808, _u8809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8807), _u8808), _u8809)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u8807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8807), _u8808), _u8809)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8807, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8807, _u8808, _u8809)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u8810) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8810, _u8811, _u8812) != c_Orderings_Obot__class_Obot(tc_fun(_u8810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8810), _u8811), _u8812)) )).
% 12.32/12.50 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u8810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8810), _u8811), _u8812)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8810, _u8811, _u8812) = c_Orderings_Obot__class_Obot(tc_fun(_u8810, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u8813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8813), _u8814), _u8815)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8813, _u8815, _u8814) = c_Orderings_Obot__class_Obot(tc_fun(_u8813, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), _u8817), hAPP(hAPP(c_Set_Oinsert(_u8816), _u8818), _u8819)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), _u8817), _u8819)), hAPP(hAPP(c_Set_Oinsert(_u8816), _u8818), c_Orderings_Obot__class_Obot(tc_fun(_u8816, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), _u8821), hAPP(hAPP(c_Set_Oinsert(_u8820), _u8822), _u8823)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), _u8821), hAPP(hAPP(c_Set_Oinsert(_u8820), _u8822), c_Orderings_Obot__class_Obot(tc_fun(_u8820, tc_HOL_Obool))))), _u8823)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8824, tc_HOL_Obool)), _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), _u8826)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u8827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8827), _u8828), _u8829)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8827, _u8829), _u8828) = c_Orderings_Obot__class_Obot(tc_fun(_u8827, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u8830) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8830, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8830, _u8831), _u8832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8831), _u8832)) )).
% 12.32/12.50 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u8830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8831), _u8832)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8830, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8830, _u8831), _u8832)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u8833) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8833, _u8834), _u8835) != c_Orderings_Obot__class_Obot(tc_fun(_u8833, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8833), _u8834), _u8835)) )).
% 12.32/12.50 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u8833) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8833), _u8834), _u8835)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8833, _u8834), _u8835) = c_Orderings_Obot__class_Obot(tc_fun(_u8833, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8836, tc_HOL_Obool)), _u8837), c_Orderings_Otop__class_Otop(tc_fun(_u8836, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8836, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u8838) | ( _u8839 != _u8840) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8838, _u8839, _u8840) = hAPP(hAPP(c_Set_Oinsert(_u8838), _u8839), c_Orderings_Obot__class_Obot(tc_fun(_u8838, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u8841) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) != hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) | ( _u8842 = _u8843) )).
% 12.32/12.50 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u8841) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) != hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) | ( _u8843 = _u8844) )).
% 12.32/12.50 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u8841) | ( _u8842 != _u8843) | ( _u8843 != _u8844) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) = hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u8845) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8845, _u8846, _u8846) = hAPP(hAPP(c_Set_Oinsert(_u8845), _u8846), c_Orderings_Obot__class_Obot(tc_fun(_u8845, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8849, tc_HOL_Obool)), _u8851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8849, tc_HOL_Obool)), _u8851))) | ( _u8851 = c_Orderings_Obot__class_Obot(tc_fun(_u8849, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u8852 != c_Orderings_Obot__class_Obot(tc_fun(_u8850, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8850, tc_HOL_Obool)), _u8852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8850, tc_HOL_Obool)), _u8852))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8853, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8853, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8853, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8854, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8854, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8854, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8855), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u8856) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8856), _u8857), _u8858)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8856, _u8858, _u8857) = c_Orderings_Obot__class_Obot(tc_fun(_u8856, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u8859) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8859, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u8859, _u8860, _u8861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8859), _u8860), _u8861)) )).
% 12.32/12.50 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u8859) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8859), _u8860), _u8861)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8859, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8859, _u8860, _u8861)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u8862) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8862, _u8863, _u8864) != c_Orderings_Obot__class_Obot(tc_fun(_u8862, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8862), _u8863), _u8864)) )).
% 12.32/12.50 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u8862) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8862), _u8863), _u8864)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8862, _u8863, _u8864) = c_Orderings_Obot__class_Obot(tc_fun(_u8862, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8865), _u8866), _u8867)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u8865, _u8867, _u8866) = c_Orderings_Obot__class_Obot(tc_fun(_u8865, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__constant__conv-1, axiom, ( ( _u8872 != c_Orderings_Obot__class_Obot(tc_fun(_u8874, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8874, _u8876, hAPP(c_COMBK(_u8876, _u8874), _u8878)), _u8872) = c_Orderings_Obot__class_Obot(tc_fun(_u8876, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_image__constant__conv-2, axiom, ( ( _u8873 = c_Orderings_Obot__class_Obot(tc_fun(_u8875, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8875, _u8877, hAPP(c_COMBK(_u8877, _u8875), _u8879)), _u8873) = hAPP(hAPP(c_Set_Oinsert(_u8877), _u8879), c_Orderings_Obot__class_Obot(tc_fun(_u8877, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u8885 != c_Orderings_Obot__class_Obot(tc_fun(_u8887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u8889), _u8891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8887, tc_fun(_u8889, tc_HOL_Obool)), _u8885), _u8893)) = hAPP(hAPP(c_Set_Oinsert(_u8889), _u8891), c_Orderings_Obot__class_Obot(tc_fun(_u8889, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u8886 = c_Orderings_Obot__class_Obot(tc_fun(_u8888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u8890), _u8892), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), _u8894)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), hAPP(hAPP(c_COMBB(tc_fun(_u8890, tc_HOL_Obool), tc_fun(_u8890, tc_HOL_Obool), _u8888), hAPP(c_Set_Oinsert(_u8890), _u8892)), _u8894))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8895, tc_HOL_Obool)), _u8896), hAPP(hAPP(c_COMBC(_u8895, tc_fun(_u8895, tc_HOL_Obool), tc_fun(_u8895, tc_HOL_Obool)), c_Set_Oinsert(_u8895)), c_Orderings_Obot__class_Obot(tc_fun(_u8895, tc_HOL_Obool)))) = _u8896) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u8902 != c_Orderings_Obot__class_Obot(tc_fun(_u8904, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8904, tc_fun(_u8906, tc_HOL_Obool)), _u8902), hAPP(hAPP(c_COMBB(tc_fun(_u8906, tc_HOL_Obool), tc_fun(_u8906, tc_HOL_Obool), _u8904), hAPP(c_Set_Oinsert(_u8906), _u8908)), _u8910)) = c_Orderings_Obot__class_Obot(tc_fun(_u8906, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u8903 = c_Orderings_Obot__class_Obot(tc_fun(_u8905, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8905, tc_fun(_u8907, tc_HOL_Obool)), _u8903), hAPP(hAPP(c_COMBB(tc_fun(_u8907, tc_HOL_Obool), tc_fun(_u8907, tc_HOL_Obool), _u8905), hAPP(c_Set_Oinsert(_u8907), _u8909)), _u8911)) = hAPP(hAPP(c_Set_Oinsert(_u8907), _u8909), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8905, tc_fun(_u8907, tc_HOL_Obool)), _u8903), _u8911))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8912), _u8913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8913), _u8912)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8913, _u8912) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8916, _u8918) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8916), _u8918)) )).
% 12.32/12.50 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8917), _u8919)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8917, _u8919) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.50 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), _u8922, _u8924)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8922), _u8924)) )).
% 12.32/12.50 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8923), _u8925)) | ( 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), _u8923, _u8925)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u8931 != c_Orderings_Obot__class_Obot(tc_fun(_u8933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8935, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8935, tc_HOL_Obool)), _u8931), _u8937)), _u8939) = _u8939) )).
% 12.32/12.50 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u8932 = c_Orderings_Obot__class_Obot(tc_fun(_u8934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8934, tc_fun(_u8936, tc_HOL_Obool)), _u8932), _u8938)), _u8940) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8934, tc_fun(_u8936, tc_HOL_Obool)), _u8932), hAPP(hAPP(c_COMBC(_u8934, tc_fun(_u8936, tc_HOL_Obool), tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8936, tc_HOL_Obool), tc_fun(tc_fun(_u8936, tc_HOL_Obool), tc_fun(_u8936, tc_HOL_Obool)), _u8934), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8936, tc_HOL_Obool))), _u8938)), _u8940))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u8946 != c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8950, tc_HOL_Obool)), _u8952), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8948, tc_fun(_u8950, tc_HOL_Obool)), _u8946), _u8954)) = _u8952) )).
% 12.32/12.50 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u8947 = c_Orderings_Obot__class_Obot(tc_fun(_u8949, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8951, tc_HOL_Obool)), _u8953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8949, tc_fun(_u8951, tc_HOL_Obool)), _u8947), _u8955)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8949, tc_fun(_u8951, tc_HOL_Obool)), _u8947), hAPP(hAPP(c_COMBB(tc_fun(_u8951, tc_HOL_Obool), tc_fun(_u8951, tc_HOL_Obool), _u8949), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8951, tc_HOL_Obool)), _u8953)), _u8955))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u8961 != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8963, tc_fun(_u8965, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_COMBC(_u8963, tc_fun(_u8965, tc_HOL_Obool), tc_fun(_u8965, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8965, tc_HOL_Obool), tc_fun(tc_fun(_u8965, tc_HOL_Obool), tc_fun(_u8965, tc_HOL_Obool)), _u8963), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8965, tc_HOL_Obool))), _u8967)), _u8969)) = c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u8962 = c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8964, tc_fun(_u8966, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_COMBC(_u8964, tc_fun(_u8966, tc_HOL_Obool), tc_fun(_u8966, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8966, tc_HOL_Obool), tc_fun(tc_fun(_u8966, tc_HOL_Obool), tc_fun(_u8966, tc_HOL_Obool)), _u8964), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8966, tc_HOL_Obool))), _u8968)), _u8970)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8966, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8964, tc_fun(_u8966, tc_HOL_Obool)), _u8962), _u8968)), _u8970)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u8976 != c_Orderings_Obot__class_Obot(tc_fun(_u8978, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8978, tc_fun(_u8980, tc_HOL_Obool)), _u8976), hAPP(hAPP(c_COMBB(tc_fun(_u8980, tc_HOL_Obool), tc_fun(_u8980, tc_HOL_Obool), _u8978), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8980, tc_HOL_Obool)), _u8982)), _u8984)) = c_Orderings_Obot__class_Obot(tc_fun(_u8980, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u8977 = c_Orderings_Obot__class_Obot(tc_fun(_u8979, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8979, tc_fun(_u8981, tc_HOL_Obool)), _u8977), hAPP(hAPP(c_COMBB(tc_fun(_u8981, tc_HOL_Obool), tc_fun(_u8981, tc_HOL_Obool), _u8979), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8981, tc_HOL_Obool)), _u8983)), _u8985)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8981, tc_HOL_Obool)), _u8983), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8979, tc_fun(_u8981, tc_HOL_Obool)), _u8977), _u8985))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8986), c_Orderings_Otop__class_Otop(_u8986)) = c_Orderings_Obot__class_Obot(_u8986)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8987) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8987), c_Orderings_Obot__class_Obot(_u8987)) = c_Orderings_Otop__class_Otop(_u8987)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UNIV__option__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UNIV__option__conv-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8988), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u8988)), c_Option_Ooption_ONone(_u8988)), hAPP(c_Set_Oimage(_u8988, tc_Option_Ooption(_u8988), c_Option_Ooption_OSome(_u8988)), c_Orderings_Otop__class_Otop(tc_fun(_u8988, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u8989) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8989), _u8990)) = hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u8991, _u8992, _u8993), _u8994) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8991, tc_fun(_u8992, tc_HOL_Obool)), _u8994), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8992, tc_HOL_Obool), tc_fun(_u8992, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u8992, tc_fun(tc_fun(_u8992, tc_HOL_Obool), tc_fun(_u8992, tc_HOL_Obool)), _u8991), c_Set_Oinsert(_u8992)), _u8993)), c_Orderings_Obot__class_Obot(tc_fun(_u8992, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8995), hAPP(c_Nat_OSuc, _u8995)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8995), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8999, _u9001) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9003), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u8999 = _u9001) )).
% 12.32/12.50 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8999, _u9001) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9003), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9001 = _u9003) )).
% 12.32/12.50 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u9000 != _u9002) | ( _u9002 != _u9004) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9000, _u9002) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9004), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9005, _u9005) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9005), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u9006 != _u9007) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9006, _u9007) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9006), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9008)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u9008)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9008), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9009)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9009)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__UNIV__bool-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u9010) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9010, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9010), _u9011)), hAPP(hAPP(c_Set_Oinsert(_u9010), _u9011), c_Orderings_Obot__class_Obot(tc_fun(_u9010, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u9010), _u9011)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9014), _u9016)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9014), hAPP(c_Nat_OSuc, _u9016)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9016), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9014), _u9016))) )).
% 12.32/12.50 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9015), _u9017)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9015), hAPP(c_Nat_OSuc, _u9017)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u9018) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9018, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9018), _u9019), c_Orderings_Obot__class_Obot(tc_fun(_u9018, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9018), _u9019)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u9018), _u9019)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u9020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9020), _u9021), _u9022)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9020, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9020, _u9021), _u9022)), hAPP(hAPP(c_Set_Oinsert(_u9020), _u9022), c_Orderings_Obot__class_Obot(tc_fun(_u9020, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u9020, _u9021, _u9022)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u9023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9023), _u9024), _u9025)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9023, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9023), _u9024), c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9023, _u9024, _u9025)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9023, _u9024, _u9025)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u9026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9026), _u9027), _u9028)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9026), _u9027), c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9026, _u9027, _u9028)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9026, _u9027), _u9028)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9030), _u9031)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9029, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9029, _u9030, _u9031)), hAPP(hAPP(c_Set_Oinsert(_u9029), _u9031), c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9029, _u9030, _u9031)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u9032, _u9033) = c_HOL_OThe(_u9032, hAPP(hAPP(c_COMBB(tc_fun(_u9032, tc_HOL_Obool), tc_HOL_Obool, _u9032), hAPP(c_fequal, _u9033)), hAPP(hAPP(c_COMBC(_u9032, tc_fun(_u9032, tc_HOL_Obool), tc_fun(_u9032, tc_HOL_Obool)), c_Set_Oinsert(_u9032)), c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool)))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9034), c_Orderings_Obot__class_Obot(tc_fun(_u9034, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9035), _u9036)) | ( 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)))), _u9036, _u9035) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u9037, hAPP(hAPP(c_Set_Oinsert(_u9037), _u9038), c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool)))) = _u9038) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_derivs__insertD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_derivs__insertD-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), _u9042)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9039), tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_derivs__insertD-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), _u9042)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, _u9042) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9043)), _u9045), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9043), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, _u9046) | c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9043)), _u9045), _u9046)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9047, _u9048, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9047), tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9049, _u9050, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9049), tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__UNIV__unit-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Comp ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9053), _u9054), _u9055)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9055), _u9056), _u9057)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9053), c_Com_Ocom_OSemi(_u9054, _u9056)), _u9057)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9058, _u9059, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9058)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9058), _u9060), c_Com_Ocom_OSKIP), _u9060)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9058), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9061, _u9062, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9061)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9061), _u9063), c_Com_Ocom_OSKIP), _u9063)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9061), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9064, _u9065, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9064)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9064), hAPP(hAPP(c_COMBC(_u9064, 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)), _u9064), 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)), _u9064), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u9066))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u9067))), c_Com_Ocom_OWhile(_u9067, _u9068)), _u9066)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9064), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9071), _u9073)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9073, _u9071) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9072), _u9074)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9074, _u9072) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9074), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9074), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9072))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Ass ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Ass-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9075, _u9076, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9075)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9075), hAPP(hAPP(c_COMBC(_u9075, 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)), _u9075), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u9077)), 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), _u9078)), _u9079))), c_Com_Ocom_OAss(_u9078, _u9079)), _u9077)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9075), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_hoare__derivs_Oequations_I8_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_hoare__derivs_Oequations_I8_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9080, _u9081, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9080)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9080), hAPP(hAPP(c_COMBC(_u9080, 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)), _u9080), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u9082)), 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), _u9083)), _u9084))), c_Com_Ocom_OAss(_u9083, _u9084)), _u9082)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9080), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_weak__Body ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_weak__Body-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9085, _u9086, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9085)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9085), _u9087), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u9088))), _u9089)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9085), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9085, _u9086, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9085)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9085), _u9087), hAPP(c_Com_Ocom_OBODY, _u9088)), _u9089)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9085), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_BodyN ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_BodyN-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9090, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Com_Ocom_OBODY, _u9092)), _u9093)), _u9094), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u9092))), _u9093)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9090), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9090, _u9094, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Com_Ocom_OBODY, _u9092)), _u9093)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9090), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Body1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Body1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9095, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9095), tc_HOL_Obool)), _u9096), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u9095), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), hAPP(hAPP(c_COMBB(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u9095)), _u9097)), c_Com_Ocom_OBODY)), _u9098)), _u9099)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u9095), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), hAPP(hAPP(c_COMBB(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u9095)), _u9097)), 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))), _u9098)), _u9099)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u9100), _u9099)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9095, _u9096, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9095), hAPP(_u9097, _u9100)), hAPP(c_Com_Ocom_OBODY, _u9100)), hAPP(_u9098, _u9100))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9095), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u9101) = 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, _u9101)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Option_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Option_Oset_Osimps_I2_J-1, axiom, ( ( c_Option_Oset(_u9102, hAPP(c_Option_Ooption_OSome(_u9102), _u9103)) = hAPP(hAPP(c_Set_Oinsert(_u9102), _u9103), c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.50 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)))), _u9106, _u9108)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9106), _u9108)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9108), _u9106)) )).
% 12.32/12.50 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)))), _u9107, _u9109)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9107), _u9109)) )).
% 12.32/12.50 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)))), _u9107, _u9109)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9109), _u9107)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_equalityCE-1, axiom, ( ( _u9110 != _u9111) | hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9110)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9111)) )).
% 12.32/12.50 cnf(fact_equalityCE-2, axiom, ( ( _u9110 != _u9111) | hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9111)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9110)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9114), _u9115), _u9116)) | ~hBOOL(hAPP(hAPP(hAPP(_u9117, _u9115), _u9118), _u9119)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9114, tc_fun(_u9120, tc_fun(_u9121, tc_HOL_Obool))), _u9116), _u9117), _u9118), _u9119)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9122), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9122, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insertE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9124), _u9125), hAPP(hAPP(c_Set_Oinsert(_u9124), _u9126), _u9127))) | ( _u9125 = _u9126) | hBOOL(hAPP(hAPP(c_member(_u9124), _u9125), _u9127)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), hAPP(hAPP(c_Set_Oinsert(_u9128), _u9131), _u9130))) | ~hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), _u9130)) )).
% 12.32/12.50 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), hAPP(hAPP(c_Set_Oinsert(_u9128), _u9131), _u9130))) | ( _u9129 != _u9131) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9132, tc_HOL_Obool)), _u9133), _u9134)) | ~hBOOL(hAPP(hAPP(c_member(_u9132), _u9135), _u9133)) | hBOOL(hAPP(hAPP(c_member(_u9132), _u9135), _u9134)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9136), _u9137), c_Orderings_Otop__class_Otop(tc_fun(_u9136, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__eqI-1, axiom, ( ( _u9138 != hAPP(_u9139, _u9140)) | ~hBOOL(hAPP(hAPP(c_member(_u9141), _u9140), _u9142)) | hBOOL(hAPP(hAPP(c_member(_u9143), _u9138), hAPP(c_Set_Oimage(_u9141, _u9143, _u9139), _u9142))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9144, tc_HOL_Obool)), _u9147), _u9146))) | ~hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), _u9146)) )).
% 12.32/12.50 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9144, tc_HOL_Obool)), _u9147), _u9146))) | ~hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), _u9147)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UnE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9148, tc_HOL_Obool)), _u9150), _u9151))) | hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), _u9150)) | hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), _u9151)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), _u9154)) | hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), _u9155)) | hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9152, tc_HOL_Obool)), _u9154), _u9155))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9156, tc_HOL_Obool)), _u9158), _u9159))) | hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), _u9158)) )).
% 12.32/12.50 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9156, tc_HOL_Obool)), _u9158), _u9159))) | ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), _u9159)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9160), _u9161), _u9162)) | hBOOL(hAPP(hAPP(c_member(_u9160), _u9161), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9160, tc_HOL_Obool)), _u9162))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), _u9165)) | ~hBOOL(hAPP(hAPP(c_member(_u9166), _u9167), hAPP(_u9168, _u9164))) | hBOOL(hAPP(hAPP(c_member(_u9166), _u9167), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9163, tc_fun(_u9166, tc_HOL_Obool)), _u9165), _u9168))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9169), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(_u9172, _u9170), _u9173)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9169, tc_fun(_u9174, tc_HOL_Obool)), _u9171), _u9172), _u9173)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9175), _u9176), hAPP(hAPP(_u9177, _u9178), _u9179))) | hBOOL(hAPP(hAPP(c_member(_u9175), _u9176), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9180, _u9181, tc_fun(_u9175, tc_HOL_Obool)), _u9177), hAPP(hAPP(c_Product__Type_OPair(_u9180, _u9181), _u9178), _u9179)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9182, _u9183)), hAPP(hAPP(c_Product__Type_OPair(_u9182, _u9183), _u9184), _u9185)), _u9186)) | hBOOL(hAPP(hAPP(c_member(_u9187), hAPP(hAPP(_u9188, _u9184), _u9185)), hAPP(c_Set_Oimage(tc_prod(_u9182, _u9183), _u9187, hAPP(c_Product__Type_Oprod_Oprod__case(_u9182, _u9183, _u9187), _u9188)), _u9186))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9189), _u9190), _u9191)) | ( hAPP(hAPP(c_Set_Oinsert(_u9189), _u9190), _u9191) = _u9191) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9192), _u9193), _u9194)) | hBOOL(hAPP(hAPP(c_member(_u9192), _u9193), hAPP(hAPP(c_Set_Oinsert(_u9192), _u9195), _u9194))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9198)) | hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9199)) | ( hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9198) != hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9199)) | ( _u9198 = _u9199) )).
% 12.32/12.50 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9198)) | hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9199)) | ( _u9198 != _u9199) | ( hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9198) = hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9199)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9204), _u9206), hAPP(hAPP(c_Set_Oinsert(_u9204), _u9208), _u9210))) | ( _u9206 = _u9208) | hBOOL(hAPP(hAPP(c_member(_u9204), _u9206), _u9210)) )).
% 12.32/12.50 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), hAPP(hAPP(c_Set_Oinsert(_u9205), _u9209), _u9211))) | ( _u9207 != _u9209) )).
% 12.32/12.50 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), hAPP(hAPP(c_Set_Oinsert(_u9205), _u9209), _u9211))) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), _u9211)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9212), _u9213), hAPP(hAPP(c_Set_Oinsert(_u9212), _u9213), _u9214))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9219), skolem165(_u9221, _u9219)), _u9221)) | ( _u9221 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_all__not__in__conv-2, axiom, ( ( _u9222 != c_Orderings_Obot__class_Obot(tc_fun(_u9220, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9220), _u9216), _u9222)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9227), _u9223), _u9229)) | ( _u9229 != c_Orderings_Obot__class_Obot(tc_fun(_u9227, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_ex__in__conv-2, axiom, ( ( _u9230 = c_Orderings_Obot__class_Obot(tc_fun(_u9228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9228), skolem166(_u9230, _u9228)), _u9230)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9231), _u9232), c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_equals0D-1, axiom, ( ( _u9233 != c_Orderings_Obot__class_Obot(tc_fun(_u9234, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9234), _u9235), _u9233)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9236), _u9237), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9236, tc_HOL_Obool)), _u9238), _u9239))) | ~hBOOL(hAPP(hAPP(c_member(_u9236), _u9237), _u9239)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9240), _u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9240, tc_HOL_Obool)), _u9242), _u9243))) | hBOOL(hAPP(hAPP(c_member(_u9240), _u9241), _u9242)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9248, tc_HOL_Obool)), _u9252), _u9254))) | hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), _u9252)) )).
% 12.32/12.50 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9248, tc_HOL_Obool)), _u9252), _u9254))) | ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), _u9254)) )).
% 12.32/12.50 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), _u9253)) | hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), _u9255)) | hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9249, tc_HOL_Obool)), _u9253), _u9255))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9263), _u9265), hAPP(c_Set_Oimage(_u9267, _u9263, _u9269), _u9271))) | hBOOL(hAPP(hAPP(c_member(_u9267), skolem167(_u9271, _u9269, _u9267, _u9265)), _u9271)) )).
% 12.32/12.50 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9263), _u9265), hAPP(c_Set_Oimage(_u9267, _u9263, _u9269), _u9271))) | ( _u9265 = hAPP(_u9269, skolem167(_u9271, _u9269, _u9267, _u9265))) )).
% 12.32/12.50 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9268), _u9257), _u9272)) | ( _u9266 != hAPP(_u9270, _u9257)) | hBOOL(hAPP(hAPP(c_member(_u9264), _u9266), hAPP(c_Set_Oimage(_u9268, _u9264, _u9270), _u9272))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_imageI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9273), _u9274), _u9275)) | hBOOL(hAPP(hAPP(c_member(_u9276), hAPP(_u9277, _u9274)), hAPP(c_Set_Oimage(_u9273, _u9276, _u9277), _u9275))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9278), _u9279), _u9280)) | ( _u9281 != hAPP(_u9282, _u9279)) | hBOOL(hAPP(hAPP(c_member(_u9283), _u9281), hAPP(c_Set_Oimage(_u9278, _u9283, _u9282), _u9280))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9284), _u9285), _u9286)) | hBOOL(hAPP(hAPP(c_member(_u9284), _u9285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9284, tc_HOL_Obool)), _u9287), _u9286))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9288), _u9289), _u9290)) | hBOOL(hAPP(hAPP(c_member(_u9288), _u9289), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9288, tc_HOL_Obool)), _u9290), _u9291))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9296, tc_HOL_Obool)), _u9300), _u9302))) | hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), _u9300)) | hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), _u9302)) )).
% 12.32/12.50 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9297, tc_HOL_Obool)), _u9301), _u9303))) | ~hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), _u9301)) )).
% 12.32/12.50 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9297, tc_HOL_Obool)), _u9301), _u9303))) | ~hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), _u9303)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9304, tc_HOL_Obool)), _u9305), _u9306)) | ~hBOOL(hAPP(hAPP(c_member(_u9304), _u9307), _u9305)) | hBOOL(hAPP(hAPP(c_member(_u9304), _u9307), _u9306)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9308), _u9309), _u9310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9308, tc_HOL_Obool)), _u9310), _u9311)) | hBOOL(hAPP(hAPP(c_member(_u9308), _u9309), _u9311)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9312, tc_HOL_Obool)), _u9313), _u9314)) | ~hBOOL(hAPP(hAPP(c_member(_u9312), _u9315), _u9313)) | hBOOL(hAPP(hAPP(c_member(_u9312), _u9315), _u9314)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9319), _u9321), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9319, tc_HOL_Obool)), _u9323))) | ~hBOOL(hAPP(hAPP(c_member(_u9319), _u9321), _u9323)) )).
% 12.32/12.50 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9324)) | hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9320, tc_HOL_Obool)), _u9324))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9326), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9325, tc_HOL_Obool)), _u9327))) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9326), _u9327)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9329), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9328, tc_HOL_Obool)), _u9330))) | ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9329), _u9330)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_pred__equals__eq-1, axiom, ( ( _u9336 = _u9338) | ( hAPP(hAPP(c_COMBC(_u9334, tc_fun(_u9334, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9334)), _u9336) != hAPP(hAPP(c_COMBC(_u9334, tc_fun(_u9334, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9334)), _u9338)) )).
% 12.32/12.50 cnf(fact_pred__equals__eq-2, axiom, ( ( _u9337 != _u9339) | ( hAPP(hAPP(c_COMBC(_u9335, tc_fun(_u9335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9335)), _u9337) = hAPP(hAPP(c_COMBC(_u9335, tc_fun(_u9335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9335)), _u9339)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_eq__mem-1, axiom, ( ( _u9345 = _u9347) | ~hBOOL(hAPP(hAPP(c_member(_u9343), _u9345), hAPP(c_fequal, _u9347))) )).
% 12.32/12.50 cnf(fact_eq__mem-2, axiom, ( ( _u9346 != _u9348) | hBOOL(hAPP(hAPP(c_member(_u9344), _u9346), hAPP(c_fequal, _u9348))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u9356, _u9354)) | ~hBOOL(hAPP(hAPP(c_member(_u9352), _u9354), _u9356)) )).
% 12.32/12.50 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u9357, _u9355)) | hBOOL(hAPP(hAPP(c_member(_u9353), _u9355), _u9357)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u9358 != _u9359) | ~hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9358)) | hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9359)) )).
% 12.32/12.50 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u9358 != _u9359) | ~hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9359)) | hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9358)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u9362 != _u9363) | ~hBOOL(hAPP(hAPP(c_member(_u9364), _u9362), _u9365)) | hBOOL(hAPP(hAPP(c_member(_u9364), _u9363), _u9365)) )).
% 12.32/12.50 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u9362 != _u9363) | ~hBOOL(hAPP(hAPP(c_member(_u9364), _u9363), _u9365)) | hBOOL(hAPP(hAPP(c_member(_u9364), _u9362), _u9365)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_eq__mem__trans-1, axiom, ( ( _u9366 != _u9367) | ~hBOOL(hAPP(hAPP(c_member(_u9368), _u9367), _u9369)) | hBOOL(hAPP(hAPP(c_member(_u9368), _u9366), _u9369)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_elem__set ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_elem__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9373), _u9375), c_Option_Oset(_u9373, _u9377))) | ( _u9377 = hAPP(c_Option_Ooption_OSome(_u9373), _u9375)) )).
% 12.32/12.50 cnf(fact_elem__set-2, axiom, ( ( _u9378 != hAPP(c_Option_Ooption_OSome(_u9374), _u9376)) | hBOOL(hAPP(hAPP(c_member(_u9374), _u9376), c_Option_Oset(_u9374, _u9378))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u9381) != hAPP(c_Int_ORep__Integ, _u9383)) | ( _u9381 = _u9383) )).
% 12.32/12.50 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u9382 != _u9384) | ( hAPP(c_Int_ORep__Integ, _u9382) = hAPP(c_Int_ORep__Integ, _u9384)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9391), _u9393), c_SetInterval_Oord_OatLeastLessThan(_u9391, _u9395, _u9397, _u9399, _u9401))) | hBOOL(hAPP(hAPP(_u9395, _u9399), _u9393)) )).
% 12.32/12.50 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9391), _u9393), c_SetInterval_Oord_OatLeastLessThan(_u9391, _u9395, _u9397, _u9399, _u9401))) | hBOOL(hAPP(hAPP(_u9397, _u9393), _u9401)) )).
% 12.32/12.50 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9396, _u9400), _u9394)) | ~hBOOL(hAPP(hAPP(_u9398, _u9394), _u9402)) | hBOOL(hAPP(hAPP(c_member(_u9392), _u9394), c_SetInterval_Oord_OatLeastLessThan(_u9392, _u9396, _u9398, _u9400, _u9402))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9403, tc_HOL_Obool)), _u9404), _u9405)) | ~hBOOL(hAPP(hAPP(c_member(_u9403), _u9406), _u9404)) | hBOOL(hAPP(hAPP(c_member(_u9403), _u9406), _u9405)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)), _u9411)) | hBOOL(hAPP(hAPP(c_member(_u9409), _u9411), c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9410), _u9412), c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool)), _u9412)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9418), _u9420), c_SetInterval_Oord_OatLeastAtMost(_u9418, _u9422, _u9424, _u9426))) | hBOOL(hAPP(hAPP(_u9422, _u9424), _u9420)) )).
% 12.32/12.50 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9418), _u9420), c_SetInterval_Oord_OatLeastAtMost(_u9418, _u9422, _u9424, _u9426))) | hBOOL(hAPP(hAPP(_u9422, _u9420), _u9426)) )).
% 12.32/12.50 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9423, _u9425), _u9421)) | ~hBOOL(hAPP(hAPP(_u9423, _u9421), _u9427)) | hBOOL(hAPP(hAPP(c_member(_u9419), _u9421), c_SetInterval_Oord_OatLeastAtMost(_u9419, _u9423, _u9425, _u9427))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9431, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9431, tc_fun(_u9431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9431)), _u9433)), hAPP(hAPP(c_COMBC(_u9431, tc_fun(_u9431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9431)), _u9435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9431, tc_HOL_Obool)), _u9433), _u9435)) )).
% 12.32/12.50 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9432, tc_HOL_Obool)), _u9434), _u9436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9432, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9432, tc_fun(_u9432, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9432)), _u9434)), hAPP(hAPP(c_COMBC(_u9432, tc_fun(_u9432, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9432)), _u9436))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9441, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9441, tc_fun(_u9441, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9441)), _u9443)), hAPP(hAPP(c_COMBC(_u9441, tc_fun(_u9441, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9441)), _u9445)), _u9447)) | hBOOL(hAPP(hAPP(c_member(_u9441), _u9447), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9441, tc_HOL_Obool)), _u9443), _u9445))) )).
% 12.32/12.50 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9442), _u9448), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9442, tc_HOL_Obool)), _u9444), _u9446))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9442, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9442, tc_fun(_u9442, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9442)), _u9444)), hAPP(hAPP(c_COMBC(_u9442, tc_fun(_u9442, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9442)), _u9446)), _u9448)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9460, tc_fun(_u9456, tc_HOL_Obool)), _u9462), _u9464))) | hBOOL(hAPP(hAPP(c_member(_u9460), skolem168(_u9464, _u9462, _u9460, _u9458, _u9456)), _u9462)) )).
% 12.32/12.50 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9460, tc_fun(_u9456, tc_HOL_Obool)), _u9462), _u9464))) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(_u9464, skolem168(_u9464, _u9462, _u9460, _u9458, _u9456)))) )).
% 12.32/12.50 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9461), _u9450), _u9463)) | ~hBOOL(hAPP(hAPP(c_member(_u9457), _u9459), hAPP(_u9465, _u9450))) | hBOOL(hAPP(hAPP(c_member(_u9457), _u9459), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9461, tc_fun(_u9457, tc_HOL_Obool)), _u9463), _u9465))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_singletonE-1, axiom, ( ( _u9467 = _u9468) | ~hBOOL(hAPP(hAPP(c_member(_u9466), _u9467), hAPP(hAPP(c_Set_Oinsert(_u9466), _u9468), c_Orderings_Obot__class_Obot(tc_fun(_u9466, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_singleton__iff-1, axiom, ( ( _u9474 = _u9476) | ~hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), hAPP(hAPP(c_Set_Oinsert(_u9472), _u9476), c_Orderings_Obot__class_Obot(tc_fun(_u9472, tc_HOL_Obool))))) )).
% 12.32/12.50 cnf(fact_singleton__iff-2, axiom, ( ( _u9475 != _u9477) | hBOOL(hAPP(hAPP(c_member(_u9473), _u9475), hAPP(hAPP(c_Set_Oinsert(_u9473), _u9477), c_Orderings_Obot__class_Obot(tc_fun(_u9473, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9478), _u9479), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), hAPP(hAPP(c_Set_Oinsert(_u9478), _u9479), _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), _u9481)) )).
% 12.32/12.50 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9478), _u9479), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), _u9481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), hAPP(hAPP(c_Set_Oinsert(_u9478), _u9479), _u9481))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9490)), _u9492)) | hBOOL(hAPP(hAPP(c_member(_u9486), _u9488), _u9492)) )).
% 12.32/12.50 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9490)), _u9492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), _u9490), _u9492)) )).
% 12.32/12.50 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9487), _u9489), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9487, tc_HOL_Obool)), _u9491), _u9493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9487, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9487), _u9489), _u9491)), _u9493)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9494), _u9495), _u9496)) | ( hAPP(hAPP(c_Set_Oinsert(_u9497), hAPP(_u9498, _u9495)), hAPP(c_Set_Oimage(_u9494, _u9497, _u9498), _u9496)) = hAPP(c_Set_Oimage(_u9494, _u9497, _u9498), _u9496)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_range__eqI-1, axiom, ( ( _u9499 != hAPP(_u9500, _u9501)) | hBOOL(hAPP(hAPP(c_member(_u9502), _u9499), hAPP(c_Set_Oimage(_u9503, _u9502, _u9500), c_Orderings_Otop__class_Otop(tc_fun(_u9503, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9504), hAPP(_u9505, _u9506)), hAPP(c_Set_Oimage(_u9507, _u9504, _u9505), c_Orderings_Otop__class_Otop(tc_fun(_u9507, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9512), _u9514), _u9516)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9512, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9512), _u9514), _u9518)), _u9516) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9512, tc_HOL_Obool)), _u9518), _u9516)) )).
% 12.32/12.50 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9513), _u9515), _u9517)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9513, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9513), _u9515), _u9519)), _u9517) = hAPP(hAPP(c_Set_Oinsert(_u9513), _u9515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9513, tc_HOL_Obool)), _u9519), _u9517))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9520), _u9521), _u9522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9520, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9520), _u9521), _u9523)), _u9522) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9520, tc_HOL_Obool)), _u9523), _u9522)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u9524) | ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), hAPP(c_SetInterval_Oord__class_OlessThan(_u9524), _u9526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9524), _u9525), _u9526)) )).
% 12.32/12.50 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9524), _u9525), _u9526)) | hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), hAPP(c_SetInterval_Oord__class_OlessThan(_u9524), _u9526))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9534), c_SetInterval_Oord_OgreaterThanLessThan(_u9532, _u9536, _u9538, _u9540))) | hBOOL(hAPP(hAPP(_u9536, _u9538), _u9534)) )).
% 12.32/12.50 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9534), c_SetInterval_Oord_OgreaterThanLessThan(_u9532, _u9536, _u9538, _u9540))) | hBOOL(hAPP(hAPP(_u9536, _u9534), _u9540)) )).
% 12.32/12.50 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9537, _u9539), _u9535)) | ~hBOOL(hAPP(hAPP(_u9537, _u9535), _u9541)) | hBOOL(hAPP(hAPP(c_member(_u9533), _u9535), c_SetInterval_Oord_OgreaterThanLessThan(_u9533, _u9537, _u9539, _u9541))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u9542) | ~hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), hAPP(c_SetInterval_Oord__class_OatMost(_u9542), _u9544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9542), _u9543), _u9544)) )).
% 12.32/12.50 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u9542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9542), _u9543), _u9544)) | hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), hAPP(c_SetInterval_Oord__class_OatMost(_u9542), _u9544))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u9545) | ~hBOOL(hAPP(hAPP(c_member(_u9545), _u9546), hAPP(c_SetInterval_Oord__class_OatLeast(_u9545), _u9547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9545), _u9547), _u9546)) )).
% 12.32/12.50 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u9545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9545), _u9547), _u9546)) | hBOOL(hAPP(hAPP(c_member(_u9545), _u9546), hAPP(c_SetInterval_Oord__class_OatLeast(_u9545), _u9547))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u9548) | ~hBOOL(hAPP(hAPP(c_member(_u9548), _u9549), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9548), _u9550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9548), _u9550), _u9549)) )).
% 12.32/12.50 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u9548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9548), _u9550), _u9549)) | hBOOL(hAPP(hAPP(c_member(_u9548), _u9549), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9548), _u9550))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9551) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9553), _u9554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9551), hAPP(_u9555, _u9553)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9552, _u9551), _u9554), _u9555))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9556), _u9557), _u9558)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9556, tc_fun(_u9559, tc_HOL_Obool)), _u9558), hAPP(hAPP(c_COMBB(tc_fun(_u9559, tc_HOL_Obool), tc_fun(_u9559, tc_HOL_Obool), _u9556), hAPP(c_Set_Oinsert(_u9559), _u9560)), _u9561)) = hAPP(hAPP(c_Set_Oinsert(_u9559), _u9560), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9556, tc_fun(_u9559, tc_HOL_Obool)), _u9558), _u9561))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9563), _u9564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9565, tc_HOL_Obool)), hAPP(_u9566, _u9563)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9562, tc_fun(_u9565, tc_HOL_Obool)), _u9564), _u9566))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9571, tc_fun(_u9573, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9571, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9573, tc_HOL_Obool), tc_fun(_u9573, tc_HOL_Obool), _u9571), hAPP(c_COMBC(_u9573, tc_fun(_u9573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9573))), _u9575)), _u9577)) | hBOOL(hAPP(hAPP(c_member(_u9573), _u9577), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9571, tc_fun(_u9573, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9571, tc_HOL_Obool))), _u9575))) )).
% 12.32/12.50 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9574), _u9578), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9572, tc_fun(_u9574, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9572, tc_HOL_Obool))), _u9576))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9572, tc_fun(_u9574, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9572, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9574, tc_HOL_Obool), tc_fun(_u9574, tc_HOL_Obool), _u9572), hAPP(c_COMBC(_u9574, tc_fun(_u9574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9574))), _u9576)), _u9578)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9579), _u9580), _u9581)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9582, tc_HOL_Obool)), hAPP(_u9583, _u9580)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9579, tc_fun(_u9582, tc_HOL_Obool)), _u9581), _u9583)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9579, tc_fun(_u9582, tc_HOL_Obool)), _u9581), _u9583)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9584), _u9585), _u9586)) | ( hAPP(hAPP(c_Set_Oinsert(_u9584), _u9585), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9584, tc_HOL_Obool)), _u9586), hAPP(hAPP(c_Set_Oinsert(_u9584), _u9585), c_Orderings_Obot__class_Obot(tc_fun(_u9584, tc_HOL_Obool))))) = _u9586) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9587), _u9588), _u9589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9587, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9587), _u9588), _u9589)), hAPP(hAPP(c_Set_Oinsert(_u9587), _u9588), c_Orderings_Obot__class_Obot(tc_fun(_u9587, tc_HOL_Obool)))) = _u9589) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9591), _u9592)) | ( hAPP(c_Set_Oimage(_u9590, _u9593, hAPP(c_COMBK(_u9593, _u9590), _u9594)), _u9592) = hAPP(hAPP(c_Set_Oinsert(_u9593), _u9594), c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), _u9605))) | ~hBOOL(hAPP(hAPP(c_member(_u9599), _u9603), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), c_Orderings_Obot__class_Obot(tc_fun(_u9599, tc_HOL_Obool))))), _u9605)) )).
% 12.32/12.50 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), _u9605))) | hBOOL(hAPP(hAPP(c_member(_u9599), _u9603), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), _u9605)) )).
% 12.32/12.50 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | hBOOL(hAPP(hAPP(c_member(_u9600), _u9604), _u9602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), _u9606)) )).
% 12.32/12.50 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), c_Orderings_Obot__class_Obot(tc_fun(_u9600, tc_HOL_Obool))))), _u9606)) | ~hBOOL(hAPP(hAPP(c_member(_u9600), _u9604), _u9602)) )).
% 12.32/12.50 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), c_Orderings_Obot__class_Obot(tc_fun(_u9600, tc_HOL_Obool))))), _u9606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), _u9606)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9607, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9607, tc_HOL_Obool)), _u9608), hAPP(hAPP(c_Set_Oinsert(_u9607), _u9609), c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool))))), _u9610)) | ~hBOOL(hAPP(hAPP(c_member(_u9607), _u9609), _u9608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9607, tc_HOL_Obool)), _u9608), hAPP(hAPP(c_Set_Oinsert(_u9607), _u9609), _u9610))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | ~hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), _u9621)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | ~hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), c_Orderings_Obot__class_Obot(tc_fun(_u9615, tc_HOL_Obool))))), _u9621)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9615, tc_HOL_Obool)), _u9617), _u9621)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) )).
% 12.32/12.50 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9627), _u9629), _u9631)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9627, tc_Nat_Onat), _u9633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9627, tc_HOL_Obool)), _u9631), hAPP(hAPP(c_Set_Oinsert(_u9627), _u9629), c_Orderings_Obot__class_Obot(tc_fun(_u9627, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9627, tc_Nat_Onat), _u9633), _u9631)), hAPP(_u9633, _u9629))) )).
% 12.32/12.50 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9628), _u9630), _u9632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9628, tc_Nat_Onat), _u9634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9628, tc_HOL_Obool)), _u9632), hAPP(hAPP(c_Set_Oinsert(_u9628), _u9630), c_Orderings_Obot__class_Obot(tc_fun(_u9628, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9628, tc_Nat_Onat), _u9634), _u9632)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_set__empty__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_set__empty__eq-1, axiom, ( ( c_Option_Oset(_u9637, _u9639) != c_Orderings_Obot__class_Obot(tc_fun(_u9637, tc_HOL_Obool))) | ( _u9639 = c_Option_Ooption_ONone(_u9637)) )).
% 12.32/12.50 cnf(fact_set__empty__eq-2, axiom, ( ( _u9640 != c_Option_Ooption_ONone(_u9638)) | ( c_Option_Oset(_u9638, _u9640) = c_Orderings_Obot__class_Obot(tc_fun(_u9638, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Option_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Option_Oset_Osimps_I1_J-1, axiom, ( ( c_Option_Oset(_u9641, c_Option_Ooption_ONone(_u9641)) = c_Orderings_Obot__class_Obot(tc_fun(_u9641, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9642), _u9643)) | ( 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)))), _u9643, _u9642) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.32/12.50 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)))), _u9646, _u9648) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9646), _u9648)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9648), _u9646)) )).
% 12.32/12.50 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)))), _u9647, _u9649) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9647), _u9649)) )).
% 12.32/12.50 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)))), _u9647, _u9649) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9649), _u9647)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Int_Oint), _u9653), _u9652) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9651), c_Int_Onat), _u9653)), _u9652))) | hBOOL(hAPP(hAPP(c_member(_u9651), skolem169(_u9653, _u9652, _u9651)), _u9652)) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Int_Oint), _u9653), _u9652) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9651), c_Int_Onat), _u9653)), _u9652))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9653, skolem169(_u9653, _u9652, _u9651))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9654), _u9655), _u9656)) | ~c_Nitpick_Ofold__graph_H(_u9654, _u9657, _u9658, _u9659, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9654, tc_HOL_Obool)), _u9656), hAPP(hAPP(c_Set_Oinsert(_u9654), _u9655), c_Orderings_Obot__class_Obot(tc_fun(_u9654, tc_HOL_Obool)))), _u9660) | c_Nitpick_Ofold__graph_H(_u9654, _u9657, _u9658, _u9659, _u9656, hAPP(hAPP(_u9658, _u9655), _u9660)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9664, tc_HOL_Obool)), _u9666), hAPP(hAPP(c_Set_Oinsert(_u9664), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9664, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u9664, _u9668, _u9666) = _u9668) )).
% 12.32/12.50 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9669), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u9665, _u9669, _u9667) = c_HOL_OThe(_u9665, hAPP(hAPP(c_COMBC(_u9665, tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9665)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9669), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | ~hBOOL(hAPP(hAPP(c_member(_u9670), _u9672), _u9671)) | ( hAPP(c_Finite__Set_Ocard(_u9670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9670, tc_HOL_Obool)), _u9671), hAPP(hAPP(c_Set_Oinsert(_u9670), _u9672), c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9670), _u9671)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.50 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | hBOOL(hAPP(hAPP(c_member(_u9670), _u9672), _u9671)) | ( hAPP(c_Finite__Set_Ocard(_u9670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9670, tc_HOL_Obool)), _u9671), hAPP(hAPP(c_Set_Oinsert(_u9670), _u9672), c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9670), _u9671)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9673), _u9674))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9675, _u9676))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9677, _u9678))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9679))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u9680))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 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, _u9681), _u9682))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9683, _u9684))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9685, _u9686))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9687, _u9688))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9689, _u9690))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9691), c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9692), _u9693)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9692), hAPP(hAPP(c_Set_Oinsert(_u9692), _u9694), _u9693))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9695), _u9696)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9697), hAPP(c_Set_Oimage(_u9695, _u9697, _u9698), _u9696))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9699), _u9700)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9699, tc_HOL_Obool)), _u9700), _u9701))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u9702) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), c_Orderings_Otop__class_Otop(tc_fun(_u9702, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_infinite__UNIV__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9705, _u9707)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9705, _u9707), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9705), c_Orderings_Otop__class_Otop(tc_fun(_u9705, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9705, _u9707)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9705, _u9707), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9707), c_Orderings_Otop__class_Otop(tc_fun(_u9707, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9706), c_Orderings_Otop__class_Otop(tc_fun(_u9706, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9708), c_Orderings_Otop__class_Otop(tc_fun(_u9708, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9706, _u9708)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9706, _u9708), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9712), hAPP(hAPP(c_Set_Oinsert(_u9712), _u9714), _u9716))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9712), _u9716)) )).
% 12.32/12.50 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9717)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), _u9717))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), c_Orderings_Otop__class_Otop(tc_fun(_u9719, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9718, _u9719)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u9718, _u9719), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9720), c_Orderings_Otop__class_Otop(tc_fun(_u9720, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9721), c_Orderings_Otop__class_Otop(tc_fun(_u9721, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u9720, _u9721)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u9720, _u9721), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9722), c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | ~hBOOL(hAPP(hAPP(c_member(_u9725), _u9723), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(_u9728, _u9723))) )).
% 12.32/12.50 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | hBOOL(hAPP(hAPP(c_member(_u9725), skolem170(_u9728, _u9727, _u9726, _u9725)), _u9726)) )).
% 12.32/12.50 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(_u9728, skolem170(_u9728, _u9727, _u9726, _u9725)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9731), _u9733)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9731)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9733))) )).
% 12.32/12.50 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), _u9732)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9734))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9732), _u9734)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, tc_fun(_u9746, tc_fun(_u9748, tc_HOL_Obool))), _u9750), _u9752), _u9754), _u9756)) | hBOOL(hAPP(hAPP(c_member(_u9744), skolem171(_u9756, _u9754, _u9752, _u9750, _u9748, _u9746, _u9744)), _u9750)) )).
% 12.32/12.50 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, tc_fun(_u9746, tc_fun(_u9748, tc_HOL_Obool))), _u9750), _u9752), _u9754), _u9756)) | hBOOL(hAPP(hAPP(hAPP(_u9752, skolem171(_u9756, _u9754, _u9752, _u9750, _u9748, _u9746, _u9744)), _u9754), _u9756)) )).
% 12.32/12.50 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9745), _u9736), _u9751)) | ~hBOOL(hAPP(hAPP(hAPP(_u9753, _u9736), _u9755), _u9757)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9745, tc_fun(_u9747, tc_fun(_u9749, tc_HOL_Obool))), _u9751), _u9753), _u9755), _u9757)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9763)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9758), _u9763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9758), skolem172(_u9763))) )).
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9764)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem173(_u9764, _u9761)), _u9764)) )).
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem173(_u9764, _u9761)), _u9761)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9765), _u9770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9765), skolem174(_u9770))) )).
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9771)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem175(_u9771, _u9768)), _u9771)) )).
% 12.32/12.50 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem175(_u9771, _u9768)), _u9768)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9775, tc_HOL_Obool)), _u9777), _u9779))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), _u9777)) )).
% 12.32/12.50 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9775, tc_HOL_Obool)), _u9777), _u9779))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), _u9779)) )).
% 12.32/12.50 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9780)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9776, tc_HOL_Obool)), _u9778), _u9780))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), _u9782)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), _u9783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9781, tc_HOL_Obool)), _u9782), _u9783))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9784), _u9785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9784, tc_HOL_Obool)), _u9786), _u9785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9784), _u9786)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9787, tc_HOL_Obool)), _u9788), _u9789)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9789)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9788)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9791)) | 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)), _u9791))) )).
% 12.32/12.50 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)), _u9792))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9792)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u9793) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9793), _u9794)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u9795) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9795), _u9796)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9799)) )).
% 12.32/12.50 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9799)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9804, tc_fun(_u9806, tc_HOL_Obool))), _u9808), _u9810)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9804, _u9806)), hAPP(hAPP(c_Product__Type_OPair(_u9804, _u9806), _u9808), _u9810)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9804, _u9806), tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9805, _u9807)), hAPP(hAPP(c_Product__Type_OPair(_u9805, _u9807), _u9809), _u9811)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9805, _u9807), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9805, tc_fun(_u9807, tc_HOL_Obool))), _u9809), _u9811)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u9820 = _u9822) | ( hAPP(hAPP(c_COMBC(_u9816, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9816), c_COMBC(_u9818, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_prod(_u9816, _u9818)), tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), _u9816), hAPP(c_COMBB(tc_prod(_u9816, _u9818), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool), _u9818), c_member(tc_prod(_u9816, _u9818)))), c_Product__Type_OPair(_u9816, _u9818)))), _u9820) != hAPP(hAPP(c_COMBC(_u9816, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9816), c_COMBC(_u9818, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_prod(_u9816, _u9818)), tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), _u9816), hAPP(c_COMBB(tc_prod(_u9816, _u9818), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool), _u9818), c_member(tc_prod(_u9816, _u9818)))), c_Product__Type_OPair(_u9816, _u9818)))), _u9822)) )).
% 12.32/12.50 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u9821 != _u9823) | ( hAPP(hAPP(c_COMBC(_u9817, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), _u9817), c_COMBC(_u9819, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_prod(_u9817, _u9819)), tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), _u9817), hAPP(c_COMBB(tc_prod(_u9817, _u9819), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool), _u9819), c_member(tc_prod(_u9817, _u9819)))), c_Product__Type_OPair(_u9817, _u9819)))), _u9821) = hAPP(hAPP(c_COMBC(_u9817, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), _u9817), c_COMBC(_u9819, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_prod(_u9817, _u9819)), tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), _u9817), hAPP(c_COMBB(tc_prod(_u9817, _u9819), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool), _u9819), c_member(tc_prod(_u9817, _u9819)))), c_Product__Type_OPair(_u9817, _u9819)))), _u9823)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9830, tc_fun(_u9832, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9830, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), _u9830), c_COMBC(_u9832, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_prod(_u9830, _u9832)), tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), _u9830), hAPP(c_COMBB(tc_prod(_u9830, _u9832), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool), _u9832), c_member(tc_prod(_u9830, _u9832)))), c_Product__Type_OPair(_u9830, _u9832)))), _u9834)), hAPP(hAPP(c_COMBC(_u9830, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), _u9830), c_COMBC(_u9832, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_prod(_u9830, _u9832)), tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), _u9830), hAPP(c_COMBB(tc_prod(_u9830, _u9832), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool), _u9832), c_member(tc_prod(_u9830, _u9832)))), c_Product__Type_OPair(_u9830, _u9832)))), _u9836)), _u9838), _u9840)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9830, _u9832)), hAPP(hAPP(c_Product__Type_OPair(_u9830, _u9832), _u9838), _u9840)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool)), _u9834), _u9836))) )).
% 12.32/12.50 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9831, _u9833)), hAPP(hAPP(c_Product__Type_OPair(_u9831, _u9833), _u9839), _u9841)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool)), _u9835), _u9837))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9831, tc_fun(_u9833, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9831, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), _u9831), c_COMBC(_u9833, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_prod(_u9831, _u9833)), tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), _u9831), hAPP(c_COMBB(tc_prod(_u9831, _u9833), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool), _u9833), c_member(tc_prod(_u9831, _u9833)))), c_Product__Type_OPair(_u9831, _u9833)))), _u9835)), hAPP(hAPP(c_COMBC(_u9831, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), _u9831), c_COMBC(_u9833, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_prod(_u9831, _u9833)), tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), _u9831), hAPP(c_COMBB(tc_prod(_u9831, _u9833), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool), _u9833), c_member(tc_prod(_u9831, _u9833)))), c_Product__Type_OPair(_u9831, _u9833)))), _u9837)), _u9839), _u9841)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u9843)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u9843), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9843), c_Orderings_Otop__class_Otop(tc_fun(_u9843, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9844), c_Orderings_Otop__class_Otop(tc_fun(_u9844, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u9844)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u9844), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u9845)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9845))) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u9845)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9846) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, _u9846), _u9849), _u9848) = c_Groups_Ozero__class_Ozero(_u9846)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9850) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9851, _u9850), _u9853), _u9852) = c_Groups_Ozero__class_Ozero(_u9850)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9856, tc_HOL_Obool)), _u9857), hAPP(c_Set_Oimage(_u9854, _u9856, _u9858), _u9855))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9856), _u9857)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9863, tc_HOL_Obool)), _u9865), hAPP(hAPP(c_Set_Oinsert(_u9863), _u9867), _u9869)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9863, tc_HOL_Obool)), _u9865), _u9869))) )).
% 12.32/12.50 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9864, tc_HOL_Obool)), _u9866), _u9870))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9864, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_Set_Oinsert(_u9864), _u9868), _u9870)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9871), _u9872)) | ( hAPP(c_Finite__Set_Ocard(_u9871), _u9872) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9873) | ~c_Nat__Transfer_Onat__set(_u9874) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9873), _u9874)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9873)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9874))) )).
% 12.32/12.50 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9873) | ~c_Nat__Transfer_Onat__set(_u9874) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9873)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9874))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9873), _u9874)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9875), c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u9875), _u9876) != hAPP(c_Finite__Set_Ocard(_u9875), c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool)))) | ( _u9876 = c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), _u9878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9877, tc_HOL_Obool)), _u9878))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), c_Orderings_Otop__class_Otop(tc_fun(_u9877, tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), _u9878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), c_Orderings_Otop__class_Otop(tc_fun(_u9877, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9877, tc_HOL_Obool)), _u9878))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9881), _u9879), _u9882)) | ( hAPP(_u9883, _u9879) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9881), skolem176(_u9883, _u9882, _u9881)), _u9882)) )).
% 12.32/12.50 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u9883, skolem176(_u9883, _u9882, _u9881)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9884), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9885), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u9884) != hAPP(c_Code__Numeral_Oof__nat, _u9885)) | ( _u9884 = _u9885) )).
% 12.32/12.50 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9884), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9885), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9884 != _u9885) | ( hAPP(c_Code__Numeral_Oof__nat, _u9884) = hAPP(c_Code__Numeral_Oof__nat, _u9885)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u9886)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9887) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9888), _u9887)) | c_Nat__Transfer_Ois__nat(_u9888) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9895, tc_fun(_u9897, tc_fun(_u9899, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9895, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9897, tc_fun(_u9899, tc_HOL_Obool)), _u9895), hAPP(c_COMBC(_u9897, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9897), c_COMBC(_u9899, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_prod(_u9897, _u9899)), tc_fun(_u9899, tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), _u9897), hAPP(c_COMBB(tc_prod(_u9897, _u9899), tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool), _u9899), c_member(tc_prod(_u9897, _u9899)))), c_Product__Type_OPair(_u9897, _u9899))))), _u9901)), _u9903), _u9905)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9897, _u9899)), hAPP(hAPP(c_Product__Type_OPair(_u9897, _u9899), _u9903), _u9905)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9895, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9895, tc_HOL_Obool))), _u9901))) )).
% 12.32/12.50 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9898, _u9900)), hAPP(hAPP(c_Product__Type_OPair(_u9898, _u9900), _u9904), _u9906)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9896, tc_HOL_Obool))), _u9902))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9898, tc_fun(_u9900, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9896, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9898, tc_fun(_u9900, tc_HOL_Obool)), _u9896), hAPP(c_COMBC(_u9898, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9900, tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9900, tc_HOL_Obool)), _u9898), c_COMBC(_u9900, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9900, tc_prod(_u9898, _u9900)), tc_fun(_u9900, tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), _u9898), hAPP(c_COMBB(tc_prod(_u9898, _u9900), tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool), _u9900), c_member(tc_prod(_u9898, _u9900)))), c_Product__Type_OPair(_u9898, _u9900))))), _u9902)), _u9904), _u9906)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u9907, _u9908, _u9909, _u9910, c_Orderings_Obot__class_Obot(tc_fun(_u9907, tc_HOL_Obool)), _u9910) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u9911, _u9912, _u9913, _u9914, c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)), _u9914) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9916), _u9917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), hAPP(hAPP(c_COMBS(_u9916, _u9915, _u9915), hAPP(hAPP(c_COMBB(_u9915, tc_fun(_u9915, _u9915), _u9916), c_Groups_Oplus__class_Oplus(_u9915)), _u9918)), _u9919)), _u9917) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), _u9918), _u9917)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), _u9919), _u9917))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u9920))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9921), hAPP(c_Set_Oimage(_u9922, _u9921, _u9923), c_Orderings_Otop__class_Otop(tc_fun(_u9922, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9924), hAPP(c_Set_Oimage(_u9922, _u9924, hAPP(hAPP(c_COMBB(_u9921, _u9924, _u9922), _u9925), _u9923)), c_Orderings_Otop__class_Otop(tc_fun(_u9922, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9930, tc_fun(_u9932, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9930, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), _u9930), c_COMBC(_u9932, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_prod(_u9930, _u9932)), tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), _u9930), hAPP(c_COMBB(tc_prod(_u9930, _u9932), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool), _u9932), c_member(tc_prod(_u9930, _u9932)))), c_Product__Type_OPair(_u9930, _u9932)))), _u9934)), hAPP(hAPP(c_COMBC(_u9930, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), _u9930), c_COMBC(_u9932, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_prod(_u9930, _u9932)), tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), _u9930), hAPP(c_COMBB(tc_prod(_u9930, _u9932), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool), _u9932), c_member(tc_prod(_u9930, _u9932)))), c_Product__Type_OPair(_u9930, _u9932)))), _u9936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool)), _u9934), _u9936)) )).
% 12.32/12.50 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool)), _u9935), _u9937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9931, tc_fun(_u9933, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9931, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), _u9931), c_COMBC(_u9933, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_prod(_u9931, _u9933)), tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), _u9931), hAPP(c_COMBB(tc_prod(_u9931, _u9933), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool), _u9933), c_member(tc_prod(_u9931, _u9933)))), c_Product__Type_OPair(_u9931, _u9933)))), _u9935)), hAPP(hAPP(c_COMBC(_u9931, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), _u9931), c_COMBC(_u9933, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_prod(_u9931, _u9933)), tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), _u9931), hAPP(c_COMBB(tc_prod(_u9931, _u9933), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool), _u9933), c_member(tc_prod(_u9931, _u9933)))), c_Product__Type_OPair(_u9931, _u9933)))), _u9937))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9940), _u9942) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9942 = c_Orderings_Obot__class_Obot(tc_fun(_u9940, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9940), _u9942)) )).
% 12.32/12.50 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9941), _u9943) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9943 != c_Orderings_Obot__class_Obot(tc_fun(_u9941, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9941), _u9943) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9941), _u9943)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 12.32/12.50 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(_u9944), _u9945))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9944), _u9945)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9946), _u9947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9946), _u9947)), hAPP(c_Finite__Set_Ocard(_u9946), hAPP(hAPP(c_Set_Oinsert(_u9946), _u9948), _u9947)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9949) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9950), _u9949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9950)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9951), _u9952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9951, tc_HOL_Obool)), _u9953), _u9952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9951), _u9952)), hAPP(c_Finite__Set_Ocard(_u9951), _u9953))) | ( _u9953 = _u9952) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9954), _u9955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9954, tc_HOL_Obool)), _u9956), _u9955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9954), _u9956)), hAPP(c_Finite__Set_Ocard(_u9954), _u9955))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9957), _u9958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9959), hAPP(c_Set_Oimage(_u9957, _u9959, _u9960), _u9958))), hAPP(c_Finite__Set_Ocard(_u9957), _u9958))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u9965), skolem177(_u9967, _u9966, _u9965)), _u9966)) )).
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u9967, skolem177(_u9967, _u9966, _u9965)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9961), _u9966)) | ( skolem177(_u9967, _u9966, _u9965) = _u9961) | ( hAPP(_u9967, _u9961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u9965), skolem178(_u9967, _u9966, _u9965, _u9964)), _u9966)) )).
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9964 != skolem178(_u9967, _u9966, _u9965, _u9964)) )).
% 12.32/12.50 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u9967, skolem178(_u9967, _u9966, _u9965, _u9964)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9968, tc_HOL_Obool)), _u9970), _u9969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9968), _u9970)), hAPP(c_Finite__Set_Ocard(_u9968), _u9969))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9975), skolem179(_u9977, _u9976, _u9975)), _u9976)) )).
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9977, skolem179(_u9977, _u9976, _u9975)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9971), _u9976)) | ( skolem179(_u9977, _u9976, _u9975) = _u9971) | ( hAPP(_u9977, _u9971) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9975), skolem180(_u9977, _u9976, _u9975, _u9974)), _u9976)) )).
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u9974 != skolem180(_u9977, _u9976, _u9975, _u9974)) )).
% 12.32/12.50 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9977, skolem180(_u9977, _u9976, _u9975, _u9974)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9979), _u9980)) | ~hBOOL(hAPP(hAPP(c_member(_u9979), _u9981), _u9980)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9979, _u9978), hAPP(hAPP(c_COMBC(_u9979, _u9978, _u9978), hAPP(hAPP(c_COMBS(_u9979, _u9978, tc_fun(_u9978, _u9978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9978, tc_fun(_u9978, _u9978)), _u9979), c_If(_u9978)), hAPP(c_fequal, _u9981))), _u9982)), c_Groups_Ozero__class_Ozero(_u9978))), _u9980) = hAPP(_u9982, _u9981)) )).
% 12.32/12.50 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9979), _u9980)) | hBOOL(hAPP(hAPP(c_member(_u9979), _u9981), _u9980)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9979, _u9978), hAPP(hAPP(c_COMBC(_u9979, _u9978, _u9978), hAPP(hAPP(c_COMBS(_u9979, _u9978, tc_fun(_u9978, _u9978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9978, tc_fun(_u9978, _u9978)), _u9979), c_If(_u9978)), hAPP(c_fequal, _u9981))), _u9982)), c_Groups_Ozero__class_Ozero(_u9978))), _u9980) = c_Groups_Ozero__class_Ozero(_u9978)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9984), _u9985)) | ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9986), _u9985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9984, _u9983), hAPP(hAPP(c_COMBC(_u9984, _u9983, _u9983), hAPP(hAPP(c_COMBS(_u9984, _u9983, tc_fun(_u9983, _u9983)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9983, tc_fun(_u9983, _u9983)), _u9984), c_If(_u9983)), hAPP(hAPP(c_COMBC(_u9984, _u9984, tc_HOL_Obool), c_fequal), _u9986))), _u9987)), c_Groups_Ozero__class_Ozero(_u9983))), _u9985) = hAPP(_u9987, _u9986)) )).
% 12.32/12.50 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9984), _u9985)) | hBOOL(hAPP(hAPP(c_member(_u9984), _u9986), _u9985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9984, _u9983), hAPP(hAPP(c_COMBC(_u9984, _u9983, _u9983), hAPP(hAPP(c_COMBS(_u9984, _u9983, tc_fun(_u9983, _u9983)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9983, tc_fun(_u9983, _u9983)), _u9984), c_If(_u9983)), hAPP(hAPP(c_COMBC(_u9984, _u9984, tc_HOL_Obool), c_fequal), _u9986))), _u9987)), c_Groups_Ozero__class_Ozero(_u9983))), _u9985) = c_Groups_Ozero__class_Ozero(_u9983)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9988), 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, _u9988)) = _u9988) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9990), _u9991)) | hBOOL(hAPP(hAPP(c_member(_u9990), _u9992), _u9991)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9990, _u9989), _u9993), hAPP(hAPP(c_Set_Oinsert(_u9990), _u9992), _u9991)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9989), hAPP(_u9993, _u9992)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9990, _u9989), _u9993), _u9991))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9995), _u9996)) | hBOOL(hAPP(hAPP(c_member(_u9995), _u9997), _u9996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9995, _u9994), _u9998), hAPP(hAPP(c_Set_Oinsert(_u9995), _u9997), _u9996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9994), hAPP(_u9998, _u9997)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9995, _u9994), _u9998), _u9996))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9999), _u10000)) | ~hBOOL(hAPP(hAPP(c_member(_u9999), _u10001), _u10000)) | ( hAPP(c_Finite__Set_Ocard(_u9999), hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), _u10000)) = hAPP(c_Finite__Set_Ocard(_u9999), _u10000)) )).
% 12.32/12.50 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9999), _u10000)) | hBOOL(hAPP(hAPP(c_member(_u9999), _u10001), _u10000)) | ( hAPP(c_Finite__Set_Ocard(_u9999), hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), _u10000)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9999), _u10000))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10002), _u10003)) | hBOOL(hAPP(hAPP(c_member(_u10002), _u10004), _u10003)) | ( hAPP(c_Finite__Set_Ocard(_u10002), hAPP(hAPP(c_Set_Oinsert(_u10002), _u10004), _u10003)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10002), _u10003))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 12.32/12.50 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(_u10007), _u10009))) | ( _u10009 != c_Orderings_Obot__class_Obot(tc_fun(_u10007, tc_HOL_Obool))) )).
% 12.32/12.50 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(_u10007), _u10009))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10009)) )).
% 12.32/12.50 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u10010 = c_Orderings_Obot__class_Obot(tc_fun(_u10008, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10008), _u10010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10008), _u10010))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10011), c_Orderings_Otop__class_Otop(tc_fun(_u10011, 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(_u10011), c_Orderings_Otop__class_Otop(tc_fun(_u10011, tc_HOL_Obool))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u10012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10013), _u10014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10013, tc_HOL_Obool)), _u10015), _u10014)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10013, tc_HOL_Obool)), _u10014), _u10015)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10012), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), _u10014)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), _u10015))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10017), _u10018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10017, tc_HOL_Obool)), _u10018), _u10019)) | ( hAPP(c_Finite__Set_Ocard(_u10017), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10017, tc_HOL_Obool)), _u10019), _u10018)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10017), _u10019)), hAPP(c_Finite__Set_Ocard(_u10017), _u10018))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10020), _u10021)) | 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(_u10020), _u10022)), hAPP(c_Finite__Set_Ocard(_u10020), _u10021))), hAPP(c_Finite__Set_Ocard(_u10020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10020, tc_HOL_Obool)), _u10022), _u10021)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10023, tc_HOL_Obool)), _u10025), _u10024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10023), _u10025)), hAPP(c_Finite__Set_Ocard(_u10023), _u10024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10023, tc_HOL_Obool)), _u10025), _u10024)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10026), _u10027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10026, tc_HOL_Obool)), _u10027), _u10028)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10026, tc_HOL_Obool)), _u10028), _u10027)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), _u10028)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), _u10027))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10031), _u10032)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10031, _u10030), _u10033), hAPP(hAPP(c_Set_Oinsert(_u10031), _u10034), _u10032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10030), hAPP(_u10033, _u10034)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10031, _u10030), _u10033), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10031, tc_HOL_Obool)), _u10032), hAPP(hAPP(c_Set_Oinsert(_u10031), _u10034), c_Orderings_Obot__class_Obot(tc_fun(_u10031, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10035), _u10036)) | ( hAPP(c_Finite__Set_Ocard(_u10035), hAPP(hAPP(c_Set_Oinsert(_u10035), _u10037), _u10036)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10035, tc_HOL_Obool)), _u10036), hAPP(hAPP(c_Set_Oinsert(_u10035), _u10037), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10038), _u10039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10038), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10038, tc_HOL_Obool)), _u10039), hAPP(hAPP(c_Set_Oinsert(_u10038), _u10040), c_Orderings_Obot__class_Obot(tc_fun(_u10038, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10038), _u10039))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card_Oinsert-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(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10041), _u10042))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10045), _u10046)) | ~hBOOL(hAPP(hAPP(c_member(_u10045), _u10047), _u10046)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10045, _u10044), _u10048), _u10046) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10044), hAPP(_u10048, _u10047)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10045, _u10044), _u10048), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10045, tc_HOL_Obool)), _u10046), hAPP(hAPP(c_Set_Oinsert(_u10045), _u10047), c_Orderings_Obot__class_Obot(tc_fun(_u10045, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ~hBOOL(hAPP(hAPP(c_member(_u10050), _u10052), _u10051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10050, _u10049), _u10053), _u10051) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10049), hAPP(_u10053, _u10052)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10050, _u10049), _u10053), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10050, tc_HOL_Obool)), _u10051), hAPP(hAPP(c_Set_Oinsert(_u10050), _u10052), c_Orderings_Obot__class_Obot(tc_fun(_u10050, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u10054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10055), _u10056)) | ~hBOOL(hAPP(hAPP(c_member(_u10055), _u10057), _u10056)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10055, _u10054), _u10058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10055, tc_HOL_Obool)), _u10056), hAPP(hAPP(c_Set_Oinsert(_u10055), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10055, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10055, _u10054), _u10058), _u10056)), hAPP(_u10058, _u10057))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u10059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10060), _u10061)) | ~hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10059), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), _u10061)), hAPP(_u10063, _u10062))) )).
% 12.32/12.50 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u10059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10060), _u10061)) | hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), _u10061)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10064), _u10065)) | ~hBOOL(hAPP(hAPP(c_member(_u10064), _u10066), _u10065)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10064), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10064, tc_HOL_Obool)), _u10065), hAPP(hAPP(c_Set_Oinsert(_u10064), _u10066), c_Orderings_Obot__class_Obot(tc_fun(_u10064, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10064), _u10065)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | ~hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10067, tc_HOL_Obool)), _u10068), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), c_Orderings_Obot__class_Obot(tc_fun(_u10067, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10067), _u10068))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10070), _u10071)) | ~hBOOL(hAPP(hAPP(c_member(_u10070), _u10072), _u10071)) | ~hBOOL(hAPP(hAPP(c_member(_u10070), _u10073), _u10071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10070, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10070, tc_HOL_Obool)), _u10071), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10072), c_Orderings_Obot__class_Obot(tc_fun(_u10070, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10073), c_Orderings_Obot__class_Obot(tc_fun(_u10070, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10070), _u10071))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10074), _u10075)) | ~hBOOL(hAPP(hAPP(c_member(_u10074), _u10076), _u10075)) | hBOOL(hAPP(hAPP(c_member(_u10074), _u10076), _u10077)) | ( 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), _u10077))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10074, tc_HOL_Obool)), _u10075), _u10077))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10078), _u10079)) | ( hAPP(c_Finite__Set_Ocard(_u10078), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10080), _u10079)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10078), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10080), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10081), _u10082)) | ~hBOOL(hAPP(hAPP(c_member(_u10081), _u10083), _u10082)) | ( hAPP(c_Finite__Set_Ocard(_u10081), _u10082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10081), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10081, tc_HOL_Obool)), _u10082), hAPP(hAPP(c_Set_Oinsert(_u10081), _u10083), c_Orderings_Obot__class_Obot(tc_fun(_u10081, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10084), _u10085)) | ~hBOOL(hAPP(hAPP(c_member(_u10084), _u10086), _u10085)) | ( hAPP(c_Finite__Set_Ocard(_u10084), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10084, tc_HOL_Obool)), _u10085), hAPP(hAPP(c_Set_Oinsert(_u10084), _u10086), c_Orderings_Obot__class_Obot(tc_fun(_u10084, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10084), _u10085)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10092, _u10094, _u10096), _u10098), _u10100)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10092, _u10094)), hAPP(hAPP(c_Product__Type_OPair(_u10092, _u10094), _u10098), _u10100)), _u10096)) )).
% 12.32/12.50 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10093, _u10095)), hAPP(hAPP(c_Product__Type_OPair(_u10093, _u10095), _u10099), _u10101)), _u10097)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10093, _u10095, _u10097), _u10099), _u10101)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10102, _u10103)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10102, _u10103), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u10103), c_Orderings_Otop__class_Otop(tc_fun(_u10103, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10102), c_Orderings_Otop__class_Otop(tc_fun(_u10102, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u10108, _u10110) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10108, _u10108)), hAPP(hAPP(c_Product__Type_OPair(_u10108, _u10108), _u10104), _u10104)), _u10110)) )).
% 12.32/12.50 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10109, _u10109)), hAPP(hAPP(c_Product__Type_OPair(_u10109, _u10109), skolem181(_u10111, _u10109)), skolem181(_u10111, _u10109))), _u10111)) | c_Nitpick_Orefl_H(_u10109, _u10111) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10122, _u10118)), hAPP(_u10122, _u10120))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10116, _u10116)), hAPP(hAPP(c_Product__Type_OPair(_u10116, _u10116), _u10118), _u10120)), hAPP(c_Wellfounded_Omeasure(_u10116), _u10122))) )).
% 12.32/12.50 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10123, _u10119)), hAPP(_u10123, _u10121))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10117, _u10117)), hAPP(hAPP(c_Product__Type_OPair(_u10117, _u10117), _u10119), _u10121)), hAPP(c_Wellfounded_Omeasure(_u10117), _u10123))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10128, tc_fun(_u10129, tc_HOL_Obool))), _u10127), _u10124), _u10125), _u10126)) | ~hBOOL(hAPP(hAPP(_u10124, _u10125), _u10126)) )).
% 12.32/12.50 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10128, tc_fun(_u10129, tc_HOL_Obool))), _u10127), _u10124), _u10125), _u10126)) | ~hBOOL(hAPP(hAPP(_u10127, _u10125), _u10126)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u10132, _u10134), _u10135)) | hBOOL(hAPP(hAPP(_u10133, _u10134), _u10135)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10130, tc_fun(_u10131, tc_HOL_Obool))), _u10132), _u10133), _u10134), _u10135)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10136, tc_fun(_u10137, tc_HOL_Obool))), _u10138), _u10139)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10140, _u10141), _u10142)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10143, tc_fun(_u10144, tc_HOL_Obool))), _u10145), _u10140), _u10141), _u10142)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10146, _u10147), _u10148)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10149, tc_fun(_u10150, tc_HOL_Obool))), _u10146), _u10151), _u10147), _u10148)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_less__by__empty-1, axiom, ( ( _u10152 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10153, _u10153), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10153, _u10153), tc_HOL_Obool)), _u10152), _u10154)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u10160, _u10159, _u10158, _u10157)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10158))) )).
% 12.32/12.50 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)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u10160, _u10159, _u10158, _u10157)), _u10160)) )).
% 12.32/12.50 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)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | ( _u10157 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem183(_u10160, _u10159, _u10158, _u10157)), skolem182(_u10160, _u10159, _u10158, _u10157))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem184(_u10166, _u10165, _u10164, _u10163)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10164))) )).
% 12.32/12.50 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)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem185(_u10166, _u10165, _u10164, _u10163)), _u10166)) )).
% 12.32/12.50 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)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | ( _u10163 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem185(_u10166, _u10165, _u10164, _u10163)), skolem184(_u10166, _u10165, _u10164, _u10163))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OlessThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OlessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10169), 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)))), _u10171))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10169), _u10171)) )).
% 12.32/12.50 cnf(fact_dvd_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10169), 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)))), _u10171))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10171), _u10169)) )).
% 12.32/12.50 cnf(fact_dvd_OlessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10170), _u10172)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10172), _u10170)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10170), 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)))), _u10172))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10181, _u10179), _u10183)) | ~hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), c_SetInterval_Oord_OlessThan(_u10177, _u10181, _u10183))) )).
% 12.32/12.50 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10182, _u10180), _u10184)) | hBOOL(hAPP(hAPP(c_member(_u10178), _u10180), c_SetInterval_Oord_OlessThan(_u10178, _u10182, _u10184))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OgreaterThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10187), 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)))), _u10189))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10189), _u10187)) )).
% 12.32/12.50 cnf(fact_dvd_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10187), 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)))), _u10189))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10187), _u10189)) )).
% 12.32/12.50 cnf(fact_dvd_OgreaterThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10190), _u10188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10188), _u10190)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10188), 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)))), _u10190))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u10196, _u10195, _u10194, _u10193)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10194))) )).
% 12.32/12.50 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)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u10196, _u10195, _u10194, _u10193)), _u10196)) )).
% 12.32/12.50 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)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | ( _u10193 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem187(_u10196, _u10195, _u10194, _u10193)), skolem186(_u10196, _u10195, _u10194, _u10193))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u10202, _u10201, _u10200, _u10199)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10200))) )).
% 12.32/12.50 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)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u10202, _u10201, _u10200, _u10199)), _u10202)) )).
% 12.32/12.50 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)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | ( _u10199 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem189(_u10202, _u10201, _u10200, _u10199)), skolem188(_u10202, _u10201, _u10200, _u10199))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10211, _u10213), _u10209)) | ~hBOOL(hAPP(hAPP(c_member(_u10207), _u10209), c_SetInterval_Oord_OgreaterThan(_u10207, _u10211, _u10213))) )).
% 12.32/12.50 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10212, _u10214), _u10210)) | hBOOL(hAPP(hAPP(c_member(_u10208), _u10210), c_SetInterval_Oord_OgreaterThan(_u10208, _u10212, _u10214))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u10219, _u10218, _u10217)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10217))) )).
% 12.32/12.50 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)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10219, _u10218, _u10217)), _u10219)) )).
% 12.32/12.50 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)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | ( _u10218 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem191(_u10219, _u10218, _u10217)), skolem190(_u10219, _u10218, _u10217))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10224, _u10223, _u10222)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10222))) )).
% 12.32/12.50 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)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10224, _u10223, _u10222)), _u10224)) )).
% 12.32/12.50 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)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | ( _u10223 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10224, _u10223, _u10222)), skolem192(_u10224, _u10223, _u10222))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10230, _u10229, _u10228, _u10227)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10228))) )).
% 12.32/12.50 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)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10230, _u10229, _u10228, _u10227)), _u10230)) )).
% 12.32/12.50 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)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | ( _u10227 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem195(_u10230, _u10229, _u10228, _u10227)), skolem194(_u10230, _u10229, _u10228, _u10227))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 12.32/12.50 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)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10236, _u10235, _u10234, _u10233)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10234))) )).
% 12.32/12.50 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)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u10236, _u10235, _u10234, _u10233)), _u10236)) )).
% 12.32/12.50 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)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | ( _u10233 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem197(_u10236, _u10235, _u10234, _u10233)), skolem196(_u10236, _u10235, _u10234, _u10233))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatLeast__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatLeast__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10239), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10241))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10241), _u10239)) )).
% 12.32/12.50 cnf(fact_dvd_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10242), _u10240)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10240), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10242))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_dvd_OatMost__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_dvd_OatMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10245), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10247))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10245), _u10247)) )).
% 12.32/12.50 cnf(fact_dvd_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10246), _u10248)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10246), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10248))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10257, _u10255), _u10259)) | ~hBOOL(hAPP(hAPP(c_member(_u10253), _u10255), c_SetInterval_Oord_OatMost(_u10253, _u10257, _u10259))) )).
% 12.32/12.50 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10258, _u10256), _u10260)) | hBOOL(hAPP(hAPP(c_member(_u10254), _u10256), c_SetInterval_Oord_OatMost(_u10254, _u10258, _u10260))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10269, _u10271), _u10267)) | ~hBOOL(hAPP(hAPP(c_member(_u10265), _u10267), c_SetInterval_Oord_OatLeast(_u10265, _u10269, _u10271))) )).
% 12.32/12.50 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10270, _u10272), _u10268)) | hBOOL(hAPP(hAPP(c_member(_u10266), _u10268), c_SetInterval_Oord_OatLeast(_u10266, _u10270, _u10272))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_finite__pointwise ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_finite__pointwise-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10274), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10278)), _u10279)), _u10280)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10281)), _u10279)), _u10282)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10276), hAPP(_u10278, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10279, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10280, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10276), tc_HOL_Obool)))) )).
% 12.32/12.50 cnf(fact_finite__pointwise-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10274), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10278)), _u10279)), _u10280)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10281)), _u10279)), _u10282)), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10276), hAPP(_u10281, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10279, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10282, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10276), tc_HOL_Obool)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10283, _u10284, _u10285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10286)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10287), _u10286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ( hAPP(_u10285, _u10286) = _u10287) )).
% 12.32/12.50 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u10283, _u10284, _u10285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10286)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10287), _u10286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ( hAPP(_u10285, _u10286) = hAPP(hAPP(_u10284, _u10287), hAPP(_u10285, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10289), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(_u10289), _u10295), _u10294)) | ( hAPP(_u10293, _u10294) = hAPP(hAPP(_u10290, hAPP(_u10292, _u10295)), hAPP(_u10293, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10289, tc_HOL_Obool)), _u10294), hAPP(hAPP(c_Set_Oinsert(_u10289), _u10295), c_Orderings_Obot__class_Obot(tc_fun(_u10289, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u10288, _u10289, _u10290, _u10291, _u10292, _u10293) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u10301, c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) = _u10299) | ~c_Finite__Set_Ofolding__image__simple(_u10296, _u10297, _u10298, _u10299, _u10300, _u10301) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10302, _u10303, _u10304) | ( hAPP(_u10304, hAPP(hAPP(c_Set_Oinsert(_u10302), _u10305), c_Orderings_Obot__class_Obot(tc_fun(_u10302, tc_HOL_Obool)))) = _u10305) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10312)) | hBOOL(hAPP(hAPP(c_member(_u10307), _u10313), _u10312)) | ( hAPP(_u10311, hAPP(hAPP(c_Set_Oinsert(_u10307), _u10313), _u10312)) = hAPP(hAPP(_u10308, hAPP(_u10310, _u10313)), hAPP(_u10311, _u10312))) | ~c_Finite__Set_Ofolding__image__simple(_u10306, _u10307, _u10308, _u10309, _u10310, _u10311) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10314, _u10315, _u10316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10314), _u10317)) | hBOOL(hAPP(hAPP(c_member(_u10314), _u10318), _u10317)) | ( _u10317 = c_Orderings_Obot__class_Obot(tc_fun(_u10314, tc_HOL_Obool))) | ( hAPP(_u10316, hAPP(hAPP(c_Set_Oinsert(_u10314), _u10318), _u10317)) = hAPP(hAPP(_u10315, _u10318), hAPP(_u10316, _u10317))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10319, _u10320, _u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10319), _u10322)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))) | ( hAPP(_u10321, hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), _u10322)) = _u10323) )).
% 12.32/12.50 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u10319, _u10320, _u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10319), _u10322)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))) | ( hAPP(_u10321, hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), _u10322)) = hAPP(hAPP(_u10320, _u10323), hAPP(_u10321, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))))))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10325), _u10330)) | ( hAPP(_u10329, hAPP(hAPP(c_Set_Oinsert(_u10325), _u10331), _u10330)) = hAPP(hAPP(_u10326, hAPP(_u10328, _u10331)), hAPP(_u10329, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10325, tc_HOL_Obool)), _u10330), hAPP(hAPP(c_Set_Oinsert(_u10325), _u10331), c_Orderings_Obot__class_Obot(tc_fun(_u10325, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u10324, _u10325, _u10326, _u10327, _u10328, _u10329) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u10333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10334), _u10335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10334, tc_HOL_Obool)), _u10336), _u10335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10336)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10335))) | hBOOL(hAPP(hAPP(c_member(_u10334), skolem199(_u10337, _u10336, _u10335, _u10334, _u10333)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10334, tc_HOL_Obool)), _u10335), _u10336))) )).
% 12.32/12.50 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u10333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10334), _u10335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10334, tc_HOL_Obool)), _u10336), _u10335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10336)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10335))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), c_Groups_Ozero__class_Ozero(_u10333)), hAPP(_u10337, skolem199(_u10337, _u10336, _u10335, _u10334, _u10333)))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u10338, _u10339)), hAPP(_u10338, _u10340))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10341, _u10341)), hAPP(hAPP(c_Product__Type_OPair(_u10341, _u10341), _u10339), _u10340)), _u10342)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10341, _u10341)), hAPP(hAPP(c_Product__Type_OPair(_u10341, _u10341), _u10339), _u10340)), c_Wellfounded_Omlex__prod(_u10341, _u10338, _u10342))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10343, _u10344)), hAPP(_u10343, _u10345))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10346, _u10346)), hAPP(hAPP(c_Product__Type_OPair(_u10346, _u10346), _u10344), _u10345)), c_Wellfounded_Omlex__prod(_u10346, _u10343, _u10347))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u10349) | ~class_Rings_Osemiring__1(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10350, _u10349), _u10352), _u10351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10349), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10349), hAPP(c_Finite__Set_Ocard(_u10350), _u10351))), _u10353))) | hBOOL(hAPP(hAPP(c_member(_u10350), skolem200(_u10353, _u10352, _u10351, _u10350, _u10349)), _u10351)) )).
% 12.32/12.50 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u10349) | ~class_Rings_Osemiring__1(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10350, _u10349), _u10352), _u10351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10349), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10349), hAPP(c_Finite__Set_Ocard(_u10350), _u10351))), _u10353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(_u10352, skolem200(_u10353, _u10352, _u10351, _u10350, _u10349))), _u10353)) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( _u10363 = hAPP(hAPP(c_Set_Oinsert(_u10361), skolem201(_u10365, _u10363, _u10361)), skolem202(_u10365, _u10363, _u10361))) )).
% 12.32/12.50 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ~hBOOL(hAPP(hAPP(c_member(_u10361), skolem201(_u10365, _u10363, _u10361)), skolem202(_u10365, _u10363, _u10361))) )).
% 12.32/12.50 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( hAPP(c_Finite__Set_Ocard(_u10361), skolem202(_u10365, _u10363, _u10361)) = _u10365) )).
% 12.32/12.50 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( _u10365 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem202(_u10365, _u10363, _u10361) = c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool))) )).
% 12.32/12.50 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10362), _u10364) = hAPP(c_Nat_OSuc, _u10366)) | ( _u10364 != hAPP(hAPP(c_Set_Oinsert(_u10362), _u10357), _u10356)) | hBOOL(hAPP(hAPP(c_member(_u10362), _u10357), _u10356)) | ( hAPP(c_Finite__Set_Ocard(_u10362), _u10356) != _u10366) | ( _u10366 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.50 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10362), _u10364) = hAPP(c_Nat_OSuc, _u10366)) | ( _u10364 != hAPP(hAPP(c_Set_Oinsert(_u10362), _u10357), _u10356)) | hBOOL(hAPP(hAPP(c_member(_u10362), _u10357), _u10356)) | ( hAPP(c_Finite__Set_Ocard(_u10362), _u10356) != _u10366) | ( _u10356 != c_Orderings_Obot__class_Obot(tc_fun(_u10362, tc_HOL_Obool))) )).
% 12.32/12.50
% 12.32/12.50 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 12.32/12.50 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10368) | ~class_Groups_Oordered__ab__semigroup__add(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10369, tc_HOL_Obool)), _u10371), _u10370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10371)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10370))) | hBOOL(hAPP(hAPP(c_member(_u10369), skolem203(_u10372, _u10371, _u10370, _u10369, _u10368)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10369, tc_HOL_Obool)), _u10370), _u10371))) )).
% 12.32/12.50 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10368) | ~class_Groups_Oordered__ab__semigroup__add(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10369, tc_HOL_Obool)), _u10371), _u10370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10371)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10370))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), c_Groups_Ozero__class_Ozero(_u10368)), hAPP(_u10372, skolem203(_u10372, _u10371, _u10370, _u10369, _u10368)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10381), c_SetInterval_Oord_OgreaterThanAtMost(_u10379, _u10383, _u10385, _u10387, _u10389))) | hBOOL(hAPP(hAPP(_u10385, _u10387), _u10381)) )).
% 12.32/12.51 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10381), c_SetInterval_Oord_OgreaterThanAtMost(_u10379, _u10383, _u10385, _u10387, _u10389))) | hBOOL(hAPP(hAPP(_u10383, _u10381), _u10389)) )).
% 12.32/12.51 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u10386, _u10388), _u10382)) | ~hBOOL(hAPP(hAPP(_u10384, _u10382), _u10390)) | hBOOL(hAPP(hAPP(c_member(_u10380), _u10382), c_SetInterval_Oord_OgreaterThanAtMost(_u10380, _u10384, _u10386, _u10388, _u10390))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10392)) | hBOOL(hAPP(hAPP(c_member(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10392)), c_Nat_Osemiring__1__class_ONats(_u10391))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10395, _u10397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10395), _u10397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10397), _u10395)) )).
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10396, _u10398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10396), _u10398)) )).
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10396, _u10398)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10398), _u10396)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10399) | hBOOL(hAPP(hAPP(c_member(_u10399), c_Groups_Ozero__class_Ozero(_u10399)), c_Nat_Osemiring__1__class_ONats(_u10399))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u10400) | ~hBOOL(hAPP(hAPP(c_member(_u10400), _u10401), c_Nat_Osemiring__1__class_ONats(_u10400))) | ~hBOOL(hAPP(hAPP(c_member(_u10400), _u10402), c_Nat_Osemiring__1__class_ONats(_u10400))) | hBOOL(hAPP(hAPP(c_member(_u10400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10400), _u10401), _u10402)), c_Nat_Osemiring__1__class_ONats(_u10400))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u10403) | ~hBOOL(hAPP(hAPP(c_member(_u10403), _u10404), c_Nat_Osemiring__1__class_ONats(_u10403))) | ~hBOOL(hAPP(hAPP(c_member(_u10403), _u10405), c_Nat_Osemiring__1__class_ONats(_u10403))) | hBOOL(hAPP(hAPP(c_member(_u10403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10403), _u10404), _u10405)), c_Nat_Osemiring__1__class_ONats(_u10403))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10406) | hBOOL(hAPP(hAPP(c_member(_u10406), c_Groups_Oone__class_Oone(_u10406)), c_Nat_Osemiring__1__class_ONats(_u10406))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u10407) | hBOOL(hAPP(hAPP(c_member(_u10407), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10407), _u10408)), c_Nat_Osemiring__1__class_ONats(_u10407))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10409), _u10410)) | ( 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)))), _u10410, _u10409) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10413, _u10415) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10413), _u10415)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10415), _u10413)) )).
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10414, _u10416) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10414), _u10416)) )).
% 12.32/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u10414, _u10416) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10416), _u10414)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u10417) | ~hBOOL(hAPP(hAPP(c_member(_u10417), _u10418), c_Int_Oring__1__class_OInts(_u10417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), c_Groups_Oone__class_Oone(_u10417)), _u10418)), _u10418)), c_Groups_Ozero__class_Ozero(_u10417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), _u10418), c_Groups_Ozero__class_Ozero(_u10417))) )).
% 12.32/12.51 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u10417) | ~hBOOL(hAPP(hAPP(c_member(_u10417), _u10418), c_Int_Oring__1__class_OInts(_u10417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), _u10418), c_Groups_Ozero__class_Ozero(_u10417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), c_Groups_Oone__class_Oone(_u10417)), _u10418)), _u10418)), c_Groups_Ozero__class_Ozero(_u10417))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u10419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10419), _u10420)) | ~hBOOL(hAPP(hAPP(c_member(_u10419), _u10421), _u10420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10419, _u10420) = _u10421) )).
% 12.32/12.51 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u10419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10419), _u10420)) | ~hBOOL(hAPP(hAPP(c_member(_u10419), _u10421), _u10420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10419, _u10420) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10419), _u10421), c_Big__Operators_Olattice__class_OSup__fin(_u10419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_member(_u10422), _u10424), _u10423)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10422, _u10423) = _u10424) )).
% 12.32/12.51 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_member(_u10422), _u10424), _u10423)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10422, _u10423) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10422), _u10424), c_Big__Operators_Olinorder__class_OMax(_u10422, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10425) | ( c_Big__Operators_Olinorder__class_OMax(_u10425, hAPP(hAPP(c_Set_Oinsert(_u10425), _u10426), c_Orderings_Obot__class_Obot(tc_fun(_u10425, tc_HOL_Obool)))) = _u10426) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u10427) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10427, hAPP(hAPP(c_Set_Oinsert(_u10427), _u10428), c_Orderings_Obot__class_Obot(tc_fun(_u10427, tc_HOL_Obool)))) = _u10428) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u10429) | hBOOL(hAPP(hAPP(c_member(_u10429), c_Groups_Ozero__class_Ozero(_u10429)), c_Int_Oring__1__class_OInts(_u10429))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u10430) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10431), c_Int_Oring__1__class_OInts(_u10430))) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10432), c_Int_Oring__1__class_OInts(_u10430))) | hBOOL(hAPP(hAPP(c_member(_u10430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10430), _u10431), _u10432)), c_Int_Oring__1__class_OInts(_u10430))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u10433) | ~hBOOL(hAPP(hAPP(c_member(_u10433), _u10434), c_Int_Oring__1__class_OInts(_u10433))) | ~hBOOL(hAPP(hAPP(c_member(_u10433), _u10435), c_Int_Oring__1__class_OInts(_u10433))) | hBOOL(hAPP(hAPP(c_member(_u10433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10433), _u10434), _u10435)), c_Int_Oring__1__class_OInts(_u10433))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u10436) | ~hBOOL(hAPP(hAPP(c_member(_u10436), _u10437), c_Int_Oring__1__class_OInts(_u10436))) | ~hBOOL(hAPP(hAPP(c_member(_u10436), _u10438), c_Int_Oring__1__class_OInts(_u10436))) | hBOOL(hAPP(hAPP(c_member(_u10436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10436), _u10437), _u10438)), c_Int_Oring__1__class_OInts(_u10436))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10439) | hBOOL(hAPP(hAPP(c_member(_u10439), hAPP(c_Int_Onumber__class_Onumber__of(_u10439), _u10440)), c_Int_Oring__1__class_OInts(_u10439))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u10441) | hBOOL(hAPP(hAPP(c_member(_u10441), c_Groups_Oone__class_Oone(_u10441)), c_Int_Oring__1__class_OInts(_u10441))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u10442) | ~hBOOL(hAPP(hAPP(c_member(_u10442), _u10443), c_Int_Oring__1__class_OInts(_u10442))) | hBOOL(hAPP(hAPP(c_member(_u10442), hAPP(c_Groups_Ouminus__class_Ouminus(_u10442), _u10443)), c_Int_Oring__1__class_OInts(_u10442))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u10444) | hBOOL(hAPP(hAPP(c_member(_u10444), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10444), _u10445)), c_Int_Oring__1__class_OInts(_u10444))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u10446) | ~hBOOL(hAPP(hAPP(c_member(_u10446), _u10447), c_Int_Oring__1__class_OInts(_u10446))) | hBOOL(hAPP(hAPP(c_member(_u10446), hAPP(hAPP(c_Power_Opower__class_Opower(_u10446), _u10447), _u10448)), c_Int_Oring__1__class_OInts(_u10446))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u10449) | hBOOL(hAPP(hAPP(c_member(_u10449), hAPP(c_Int_Oring__1__class_Oof__int(_u10449), _u10450)), c_Int_Oring__1__class_OInts(_u10449))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u10451) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10451), _u10452)) | ~hBOOL(hAPP(hAPP(c_member(_u10451), _u10453), _u10452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10451), _u10453), c_Big__Operators_Olinorder__class_OMax(_u10451, _u10452))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u10454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10454), _u10455)) | ( _u10455 = c_Orderings_Obot__class_Obot(tc_fun(_u10454, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10454), c_Big__Operators_Olinorder__class_OMax(_u10454, _u10455)), _u10455)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u10456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10456), _u10457)) | ~hBOOL(hAPP(hAPP(c_member(_u10456), _u10458), _u10457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10456), _u10458), c_Big__Operators_Olattice__class_OSup__fin(_u10456, _u10457)) = c_Big__Operators_Olattice__class_OSup__fin(_u10456, _u10457)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10459), _u10460)) | ~hBOOL(hAPP(hAPP(c_member(_u10459), _u10461), _u10460)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10459), _u10461), c_Big__Operators_Olinorder__class_OMax(_u10459, _u10460)) = c_Big__Operators_Olinorder__class_OMax(_u10459, _u10460)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u10462) | ~hBOOL(hAPP(hAPP(c_member(_u10462), _u10463), c_Int_Oring__1__class_OInts(_u10462))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10462), _u10463), _u10463) != c_Groups_Ozero__class_Ozero(_u10462)) | ( _u10463 = c_Groups_Ozero__class_Ozero(_u10462)) )).
% 12.32/12.51 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u10462) | ~hBOOL(hAPP(hAPP(c_member(_u10462), _u10463), c_Int_Oring__1__class_OInts(_u10462))) | ( _u10463 != c_Groups_Ozero__class_Ozero(_u10462)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10462), _u10463), _u10463) = c_Groups_Ozero__class_Ozero(_u10462)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10464, tc_HOL_Obool)), _u10465), _u10466)) | ( _u10465 = c_Orderings_Obot__class_Obot(tc_fun(_u10464, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10464), _u10466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10464), c_Big__Operators_Olinorder__class_OMax(_u10464, _u10465)), c_Big__Operators_Olinorder__class_OMax(_u10464, _u10466))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u10467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10467), _u10468)) | ( _u10468 = c_Orderings_Obot__class_Obot(tc_fun(_u10467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10467, hAPP(hAPP(c_Set_Oinsert(_u10467), _u10469), _u10468)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10467), _u10469), c_Big__Operators_Olattice__class_OSup__fin(_u10467, _u10468))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10470), _u10471)) | ( _u10471 = c_Orderings_Obot__class_Obot(tc_fun(_u10470, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10470, hAPP(hAPP(c_Set_Oinsert(_u10470), _u10472), _u10471)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10470), _u10472), c_Big__Operators_Olinorder__class_OMax(_u10470, _u10471))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u10473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10473), _u10474)) | ( _u10475 = c_Orderings_Obot__class_Obot(tc_fun(_u10473, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10474)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10473), c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10475)), c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10474)) = c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10474)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u10476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10476), _u10477)) | ( _u10477 = c_Orderings_Obot__class_Obot(tc_fun(_u10476, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10476), _u10478)) | ( _u10478 = c_Orderings_Obot__class_Obot(tc_fun(_u10476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10476, tc_HOL_Obool)), _u10477), _u10478)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10476), c_Big__Operators_Olattice__class_OSup__fin(_u10476, _u10477)), c_Big__Operators_Olattice__class_OSup__fin(_u10476, _u10478))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( _u10481 = c_Orderings_Obot__class_Obot(tc_fun(_u10479, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10479, tc_HOL_Obool)), _u10481), _u10480)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10479), c_Big__Operators_Olinorder__class_OMax(_u10479, _u10481)), c_Big__Operators_Olinorder__class_OMax(_u10479, _u10480)) = c_Big__Operators_Olinorder__class_OMax(_u10479, _u10480)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10482), _u10483)) | ( _u10483 = c_Orderings_Obot__class_Obot(tc_fun(_u10482, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10482), _u10484)) | ( _u10484 = c_Orderings_Obot__class_Obot(tc_fun(_u10482, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10482, tc_HOL_Obool)), _u10483), _u10484)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10482), c_Big__Operators_Olinorder__class_OMax(_u10482, _u10483)), c_Big__Operators_Olinorder__class_OMax(_u10482, _u10484))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u10485) | ~hBOOL(hAPP(hAPP(c_member(_u10485), _u10486), c_Int_Oring__1__class_OInts(_u10485))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10485), c_Groups_Oone__class_Oone(_u10485)), _u10486)), _u10486) != c_Groups_Ozero__class_Ozero(_u10485)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u10487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10487), _u10488)) | hBOOL(hAPP(hAPP(c_member(_u10487), _u10489), _u10488)) | ( _u10488 = c_Orderings_Obot__class_Obot(tc_fun(_u10487, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10487, hAPP(hAPP(c_Set_Oinsert(_u10487), _u10489), _u10488)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10487), _u10489), c_Big__Operators_Olattice__class_OSup__fin(_u10487, _u10488))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10490), _u10491)) | hBOOL(hAPP(hAPP(c_member(_u10490), _u10492), _u10491)) | ( _u10491 = c_Orderings_Obot__class_Obot(tc_fun(_u10490, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10490, hAPP(hAPP(c_Set_Oinsert(_u10490), _u10492), _u10491)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10490), _u10492), c_Big__Operators_Olinorder__class_OMax(_u10490, _u10491))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u10493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), _u10494)) = _u10495) )).
% 12.32/12.51 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u10493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), _u10494)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10493), _u10495), c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10496), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), _u10497)) = _u10498) )).
% 12.32/12.51 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10496), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), _u10497)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10496), _u10498), c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10501), _u10502)) | ( _u10502 = c_Orderings_Obot__class_Obot(tc_fun(_u10501, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10501), skolem204(_u10502, _u10501)), skolem205(_u10502, _u10501))), hAPP(hAPP(c_Set_Oinsert(_u10501), skolem204(_u10502, _u10501)), hAPP(hAPP(c_Set_Oinsert(_u10501), skolem205(_u10502, _u10501)), c_Orderings_Obot__class_Obot(tc_fun(_u10501, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10501), c_Big__Operators_Olinorder__class_OMax(_u10501, _u10502)), _u10502)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u10505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10505), _u10506)) | ( _u10506 = c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10505), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10505), skolem206(_u10506, _u10505)), skolem207(_u10506, _u10505))), hAPP(hAPP(c_Set_Oinsert(_u10505), skolem206(_u10506, _u10505)), hAPP(hAPP(c_Set_Oinsert(_u10505), skolem207(_u10506, _u10505)), c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10505), c_Big__Operators_Olattice__class_OSup__fin(_u10505, _u10506)), _u10506)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10507), _u10508)) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10509), _u10508)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10507, _u10508) = _u10509) )).
% 12.32/12.51 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10507), _u10508)) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10509), _u10508)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10507, _u10508) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10507), _u10509), c_Big__Operators_Olinorder__class_OMin(_u10507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10510) | ( c_Big__Operators_Olinorder__class_OMin(_u10510, hAPP(hAPP(c_Set_Oinsert(_u10510), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10510, tc_HOL_Obool)))) = _u10511) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u10512) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10512), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(_u10512), _u10514), _u10513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10512), c_Big__Operators_Olinorder__class_OMin(_u10512, _u10513)), _u10514)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u10515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10515), _u10516)) | ( _u10516 = c_Orderings_Obot__class_Obot(tc_fun(_u10515, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10515), c_Big__Operators_Olinorder__class_OMin(_u10515, _u10516)), _u10516)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10517), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(_u10517), _u10519), _u10518)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10517), _u10519), c_Big__Operators_Olinorder__class_OMin(_u10517, _u10518)) = c_Big__Operators_Olinorder__class_OMin(_u10517, _u10518)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u10520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10520, tc_HOL_Obool)), _u10521), _u10522)) | ( _u10521 = c_Orderings_Obot__class_Obot(tc_fun(_u10520, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10520), _u10522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10520), c_Big__Operators_Olinorder__class_OMin(_u10520, _u10522)), c_Big__Operators_Olinorder__class_OMin(_u10520, _u10521))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10523), _u10524)) | ( _u10524 = c_Orderings_Obot__class_Obot(tc_fun(_u10523, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10523, hAPP(hAPP(c_Set_Oinsert(_u10523), _u10525), _u10524)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10523), _u10525), c_Big__Operators_Olinorder__class_OMin(_u10523, _u10524))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10526) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10526), _u10527)) | ( _u10528 = c_Orderings_Obot__class_Obot(tc_fun(_u10526, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10526, tc_HOL_Obool)), _u10528), _u10527)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10526), c_Big__Operators_Olinorder__class_OMin(_u10526, _u10528)), c_Big__Operators_Olinorder__class_OMin(_u10526, _u10527)) = c_Big__Operators_Olinorder__class_OMin(_u10526, _u10527)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10529), _u10530)) | ( _u10530 = c_Orderings_Obot__class_Obot(tc_fun(_u10529, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10529), _u10531)) | ( _u10531 = c_Orderings_Obot__class_Obot(tc_fun(_u10529, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10529, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10529, tc_HOL_Obool)), _u10530), _u10531)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10529), c_Big__Operators_Olinorder__class_OMin(_u10529, _u10530)), c_Big__Operators_Olinorder__class_OMin(_u10529, _u10531))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10532), _u10533)) | hBOOL(hAPP(hAPP(c_member(_u10532), _u10534), _u10533)) | ( _u10533 = c_Orderings_Obot__class_Obot(tc_fun(_u10532, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10532, hAPP(hAPP(c_Set_Oinsert(_u10532), _u10534), _u10533)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10532), _u10534), c_Big__Operators_Olinorder__class_OMin(_u10532, _u10533))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10535), _u10536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), _u10536)) = _u10537) )).
% 12.32/12.51 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10535), _u10536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), _u10536)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10535), _u10537), c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10538), _u10539)) | ( _u10539 = c_Orderings_Obot__class_Obot(tc_fun(_u10538, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10538), c_Big__Operators_Olinorder__class_OMax(_u10538, _u10539)) = c_Big__Operators_Olinorder__class_OMin(_u10538, hAPP(c_Set_Oimage(_u10538, _u10538, c_Groups_Ouminus__class_Ouminus(_u10538)), _u10539))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10540), _u10541)) | ( _u10541 = c_Orderings_Obot__class_Obot(tc_fun(_u10540, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10540), c_Big__Operators_Olinorder__class_OMin(_u10540, _u10541)) = c_Big__Operators_Olinorder__class_OMax(_u10540, hAPP(c_Set_Oimage(_u10540, _u10540, c_Groups_Ouminus__class_Ouminus(_u10540)), _u10541))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10544) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10544), _u10545)) | ( _u10545 = c_Orderings_Obot__class_Obot(tc_fun(_u10544, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10544), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10544), skolem208(_u10545, _u10544)), skolem209(_u10545, _u10544))), hAPP(hAPP(c_Set_Oinsert(_u10544), skolem208(_u10545, _u10544)), hAPP(hAPP(c_Set_Oinsert(_u10544), skolem209(_u10545, _u10544)), c_Orderings_Obot__class_Obot(tc_fun(_u10544, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10544), c_Big__Operators_Olinorder__class_OMin(_u10544, _u10545)), _u10545)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10546), _u10547), c_Orderings_Otop__class_Otop(tc_fun(_u10546, tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), _u10567)) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = hAPP(hAPP(_u10563, skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559))) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10559, tc_HOL_Obool)), _u10567), hAPP(hAPP(c_Set_Oinsert(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool)))), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | hBOOL(hAPP(hAPP(c_member(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), _u10567)) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = hAPP(hAPP(_u10563, skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559))) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10559, tc_HOL_Obool)), _u10567), hAPP(hAPP(c_Set_Oinsert(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool)))), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, _u10568, hAPP(hAPP(_u10564, _u10570), _u10572)) | ( _u10568 != c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool))) | ( hAPP(hAPP(_u10564, _u10570), _u10572) != _u10566) )).
% 12.32/12.51 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, _u10568, hAPP(hAPP(_u10564, _u10570), _u10572)) | ~hBOOL(hAPP(hAPP(c_member(_u10560), _u10551), _u10568)) | ( hAPP(hAPP(_u10564, _u10570), _u10572) != hAPP(hAPP(_u10564, _u10551), _u10550)) | ~c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10560, tc_HOL_Obool)), _u10568), hAPP(hAPP(c_Set_Oinsert(_u10560), _u10551), c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool)))), _u10550) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10585), _u10587)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10589), _u10591))), c_Wellfounded_Olex__prod(_u10581, _u10583, _u10593, _u10595))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10581, _u10581)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10581), _u10585), _u10589)), _u10593)) | ( _u10585 = _u10589) )).
% 12.32/12.51 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10585), _u10587)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10589), _u10591))), c_Wellfounded_Olex__prod(_u10581, _u10583, _u10593, _u10595))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10581, _u10581)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10581), _u10585), _u10589)), _u10593)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10583, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10583, _u10583), _u10587), _u10591)), _u10595)) )).
% 12.32/12.51 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10586), _u10588)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10590), _u10592))), c_Wellfounded_Olex__prod(_u10582, _u10584, _u10594, _u10596))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10582, _u10582)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10582), _u10586), _u10590)), _u10594)) )).
% 12.32/12.51 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10586), _u10588)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10590), _u10592))), c_Wellfounded_Olex__prod(_u10582, _u10584, _u10594, _u10596))) | ( _u10586 != _u10590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10584, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10584, _u10584), _u10588), _u10592)), _u10596)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10601), _u10603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10605), _u10607)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10601, _u10605)), c_Sum__Type_OPlus(_u10601, _u10605, _u10603, _u10607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10601), _u10603)), hAPP(c_Finite__Set_Ocard(_u10605), _u10607))) )).
% 12.32/12.51 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10602, _u10606)), c_Sum__Type_OPlus(_u10602, _u10606, _u10604, _u10608)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10602), _u10604)) )).
% 12.32/12.51 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10602, _u10606)), c_Sum__Type_OPlus(_u10602, _u10606, _u10604, _u10608)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10606), _u10608)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)), c_Wellfounded_Ofinite__psubset(_u10612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)) )).
% 12.32/12.51 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)), c_Wellfounded_Ofinite__psubset(_u10612))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10612), _u10616)) )).
% 12.32/12.51 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10613, tc_HOL_Obool)), _u10615), _u10617)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10613), _u10617)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10613, tc_HOL_Obool), tc_fun(_u10613, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10613, tc_HOL_Obool), tc_fun(_u10613, tc_HOL_Obool)), _u10615), _u10617)), c_Wellfounded_Ofinite__psubset(_u10613))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_InrI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_InrI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10618), _u10619), _u10620)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u10621, _u10618)), hAPP(c_Sum__Type_OInr(_u10618, _u10621), _u10619)), c_Sum__Type_OPlus(_u10621, _u10618, _u10622, _u10620))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_InlI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_InlI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10623), _u10624), _u10625)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u10623, _u10626)), hAPP(c_Sum__Type_OInl(_u10623, _u10626), _u10624)), c_Sum__Type_OPlus(_u10623, _u10626, _u10625, _u10627))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u10632, _u10634, _u10636, _u10638) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10632, _u10634), tc_HOL_Obool))) | ( _u10636 = c_Orderings_Obot__class_Obot(tc_fun(_u10632, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u10632, _u10634, _u10636, _u10638) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10632, _u10634), tc_HOL_Obool))) | ( _u10638 = c_Orderings_Obot__class_Obot(tc_fun(_u10634, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u10637 != c_Orderings_Obot__class_Obot(tc_fun(_u10633, tc_HOL_Obool))) | ( _u10639 != c_Orderings_Obot__class_Obot(tc_fun(_u10635, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u10633, _u10635, _u10637, _u10639) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10633, _u10635), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Plus__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Plus__def-1, axiom, ( ( c_Sum__Type_OPlus(_u10640, _u10641, _u10642, _u10643) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(_u10640, _u10641), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10640, tc_sum(_u10640, _u10641), c_Sum__Type_OInl(_u10640, _u10641)), _u10642)), hAPP(c_Set_Oimage(_u10641, tc_sum(_u10640, _u10641), c_Sum__Type_OInr(_u10641, _u10640)), _u10643))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10648, _u10650)), c_Sum__Type_OPlus(_u10648, _u10650, _u10652, _u10654))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10648), _u10652)) )).
% 12.32/12.51 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10648, _u10650)), c_Sum__Type_OPlus(_u10648, _u10650, _u10652, _u10654))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10650), _u10654)) )).
% 12.32/12.51 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10649), _u10653)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10651), _u10655)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10649, _u10651)), c_Sum__Type_OPlus(_u10649, _u10651, _u10653, _u10655))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10656), _u10657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10658), _u10659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10656, _u10658)), c_Sum__Type_OPlus(_u10656, _u10658, _u10657, _u10659))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10660, _u10661)), c_Sum__Type_OPlus(_u10660, _u10661, _u10662, _u10663))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10662)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10665), _u10667)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10664, _u10665)), c_Sum__Type_OPlus(_u10664, _u10665, _u10666, _u10667))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u10668, _u10669, c_Orderings_Otop__class_Otop(tc_fun(_u10668, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10669, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u10668, _u10669), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10670), _u10671)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10672), _u10673)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10670, _u10672)), c_Sum__Type_OPlus(_u10670, _u10672, _u10671, _u10673)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10670), _u10671)), hAPP(c_Finite__Set_Ocard(_u10672), _u10673))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u10674, _u10675)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10676, _u10676)), hAPP(hAPP(c_Product__Type_OPair(_u10676, _u10676), _u10677), _u10678)), hAPP(_u10679, _u10675))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10680, _u10676), tc_prod(_u10680, _u10676))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10680, _u10676), tc_prod(_u10680, _u10676)), hAPP(hAPP(c_Product__Type_OPair(_u10680, _u10676), _u10675), _u10677)), hAPP(hAPP(c_Product__Type_OPair(_u10680, _u10676), _u10675), _u10678))), c_Recdef_Osame__fst(_u10680, _u10676, _u10674, _u10679))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10681), _u10682)) | ~hBOOL(hAPP(hAPP(c_member(_u10681), _u10683), _u10682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), _u10682) = _u10683) )).
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10681), _u10682)) | ~hBOOL(hAPP(hAPP(c_member(_u10681), _u10683), _u10682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), _u10682) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10681), _u10683), c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ~hBOOL(hAPP(hAPP(c_member(_u10684), _u10686), _u10685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), _u10685) = _u10686) )).
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ~hBOOL(hAPP(hAPP(c_member(_u10684), _u10686), _u10685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), _u10685) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10684), _u10686), c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u10687) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10687), _u10688)) | ( _u10688 = c_Orderings_Obot__class_Obot(tc_fun(_u10687, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10687), c_Big__Operators_Olattice_OInf__fin(_u10687, c_Orderings_Oord__class_Omin(_u10687), _u10688)), c_Big__Operators_Olattice_OSup__fin(_u10687, c_Orderings_Oord__class_Omax(_u10687), _u10688))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10689), _u10690)) | ~hBOOL(hAPP(hAPP(c_member(_u10689), _u10691), _u10690)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10689), _u10691), c_Big__Operators_Olattice_OInf__fin(_u10689, c_Orderings_Oord__class_Omin(_u10689), _u10690)) = c_Big__Operators_Olattice_OInf__fin(_u10689, c_Orderings_Oord__class_Omin(_u10689), _u10690)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10692) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10692), _u10693)) | ~hBOOL(hAPP(hAPP(c_member(_u10692), _u10694), _u10693)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10692), _u10694), c_Big__Operators_Olattice_OSup__fin(_u10692, c_Orderings_Oord__class_Omax(_u10692), _u10693)) = c_Big__Operators_Olattice_OSup__fin(_u10692, c_Orderings_Oord__class_Omax(_u10692), _u10693)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10695) | ( c_Big__Operators_Olattice_OInf__fin(_u10695, c_Orderings_Oord__class_Omin(_u10695), hAPP(hAPP(c_Set_Oinsert(_u10695), _u10696), c_Orderings_Obot__class_Obot(tc_fun(_u10695, tc_HOL_Obool)))) = _u10696) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10697) | ( c_Big__Operators_Olattice_OSup__fin(_u10697, c_Orderings_Oord__class_Omax(_u10697), hAPP(hAPP(c_Set_Oinsert(_u10697), _u10698), c_Orderings_Obot__class_Obot(tc_fun(_u10697, tc_HOL_Obool)))) = _u10698) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10699), _u10700)) | ( _u10700 = c_Orderings_Obot__class_Obot(tc_fun(_u10699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10699, c_Orderings_Oord__class_Omin(_u10699), hAPP(hAPP(c_Set_Oinsert(_u10699), _u10701), _u10700)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), _u10701), c_Big__Operators_Olattice_OInf__fin(_u10699, c_Orderings_Oord__class_Omin(_u10699), _u10700))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10702), _u10703)) | ( _u10703 = c_Orderings_Obot__class_Obot(tc_fun(_u10702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10702, c_Orderings_Oord__class_Omax(_u10702), hAPP(hAPP(c_Set_Oinsert(_u10702), _u10704), _u10703)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10702), _u10704), c_Big__Operators_Olattice_OSup__fin(_u10702, c_Orderings_Oord__class_Omax(_u10702), _u10703))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10705) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10705), _u10706)) | ( _u10707 = c_Orderings_Obot__class_Obot(tc_fun(_u10705, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10705, tc_HOL_Obool)), _u10707), _u10706)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10705), c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10707)), c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10706)) = c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10706)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10708), _u10709)) | ( _u10710 = c_Orderings_Obot__class_Obot(tc_fun(_u10708, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10708, tc_HOL_Obool)), _u10710), _u10709)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10708), c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10710)), c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10709)) = c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10709)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10711) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10711), _u10712)) | ~hBOOL(hAPP(hAPP(c_member(_u10711), _u10713), _u10712)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10711), _u10713), c_Big__Operators_Olattice_OInf__fin(_u10711, c_Orderings_Oord__class_Omin(_u10711), _u10712)) = _u10713) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10714), _u10715)) | ~hBOOL(hAPP(hAPP(c_member(_u10714), _u10716), _u10715)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10714), _u10716), c_Big__Operators_Olattice_OSup__fin(_u10714, c_Orderings_Oord__class_Omax(_u10714), _u10715)) = _u10716) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10717) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10717), _u10718)) | ( _u10718 = c_Orderings_Obot__class_Obot(tc_fun(_u10717, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10717), _u10719)) | ( _u10719 = c_Orderings_Obot__class_Obot(tc_fun(_u10717, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10717, tc_HOL_Obool)), _u10718), _u10719)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10717), c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), _u10718)), c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), _u10719))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10720), _u10721)) | ( _u10721 = c_Orderings_Obot__class_Obot(tc_fun(_u10720, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10720), _u10722)) | ( _u10722 = c_Orderings_Obot__class_Obot(tc_fun(_u10720, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10720, tc_HOL_Obool)), _u10721), _u10722)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), _u10721)), c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), _u10722))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10723), _u10724)) | hBOOL(hAPP(hAPP(c_member(_u10723), _u10725), _u10724)) | ( _u10724 = c_Orderings_Obot__class_Obot(tc_fun(_u10723, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10723, c_Orderings_Oord__class_Omin(_u10723), hAPP(hAPP(c_Set_Oinsert(_u10723), _u10725), _u10724)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10723), _u10725), c_Big__Operators_Olattice_OInf__fin(_u10723, c_Orderings_Oord__class_Omin(_u10723), _u10724))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10726), _u10727)) | hBOOL(hAPP(hAPP(c_member(_u10726), _u10728), _u10727)) | ( _u10727 = c_Orderings_Obot__class_Obot(tc_fun(_u10726, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10726, c_Orderings_Oord__class_Omax(_u10726), hAPP(hAPP(c_Set_Oinsert(_u10726), _u10728), _u10727)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10726), _u10728), c_Big__Operators_Olattice_OSup__fin(_u10726, c_Orderings_Oord__class_Omax(_u10726), _u10727))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10729), _u10730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), _u10730)) = _u10731) )).
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10729), _u10730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), _u10730)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10729), _u10731), c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10732) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10732), _u10733)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), _u10733)) = _u10734) )).
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10732) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10732), _u10733)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), _u10733)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10732), _u10734), c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10737), _u10738)) | ( _u10738 = c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10737), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10737), skolem212(_u10738, _u10737)), skolem213(_u10738, _u10737))), hAPP(hAPP(c_Set_Oinsert(_u10737), skolem212(_u10738, _u10737)), hAPP(hAPP(c_Set_Oinsert(_u10737), skolem213(_u10738, _u10737)), c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10737), c_Big__Operators_Olattice_OSup__fin(_u10737, c_Orderings_Oord__class_Omax(_u10737), _u10738)), _u10738)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10741), _u10742)) | ( _u10742 = c_Orderings_Obot__class_Obot(tc_fun(_u10741, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10741), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10741), skolem214(_u10742, _u10741)), skolem215(_u10742, _u10741))), hAPP(hAPP(c_Set_Oinsert(_u10741), skolem214(_u10742, _u10741)), hAPP(hAPP(c_Set_Oinsert(_u10741), skolem215(_u10742, _u10741)), c_Orderings_Obot__class_Obot(tc_fun(_u10741, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10741), c_Big__Operators_Olattice_OInf__fin(_u10741, c_Orderings_Oord__class_Omin(_u10741), _u10742)), _u10742)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10745, _u10746, _u10747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10745), _u10748)) | ( _u10748 = c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10745), hAPP(hAPP(_u10746, skolem216(_u10748, _u10747, _u10746, _u10745)), skolem217(_u10748, _u10747, _u10746, _u10745))), hAPP(hAPP(c_Set_Oinsert(_u10745), skolem216(_u10748, _u10747, _u10746, _u10745)), hAPP(hAPP(c_Set_Oinsert(_u10745), skolem217(_u10748, _u10747, _u10746, _u10745)), c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10745), hAPP(_u10747, _u10748)), _u10748)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10755), _u10757), _u10759)) | ( hAPP(c_Set_Oimage(_u10755, _u10761, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10755, _u10761), _u10763), _u10757), _u10765)), _u10759) = hAPP(hAPP(c_Set_Oinsert(_u10761), _u10765), hAPP(c_Set_Oimage(_u10755, _u10761, _u10763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10755, tc_HOL_Obool)), _u10759), hAPP(hAPP(c_Set_Oinsert(_u10755), _u10757), c_Orderings_Obot__class_Obot(tc_fun(_u10755, tc_HOL_Obool))))))) )).
% 12.32/12.51 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10756), _u10758), _u10760)) | ( hAPP(c_Set_Oimage(_u10756, _u10762, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10756, _u10762), _u10764), _u10758), _u10766)), _u10760) = hAPP(c_Set_Oimage(_u10756, _u10762, _u10764), _u10760)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | ~hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10768, _u10767), hAPP(hAPP(c_COMBC(_u10768, _u10767, _u10767), hAPP(hAPP(c_COMBS(_u10768, _u10767, tc_fun(_u10767, _u10767)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10767, tc_fun(_u10767, _u10767)), _u10768), c_If(_u10767)), hAPP(hAPP(c_COMBC(_u10768, _u10768, tc_HOL_Obool), c_fequal), _u10770))), _u10771)), _u10772)), _u10769) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10767), hAPP(_u10771, _u10770)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10767), _u10772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10768), _u10769)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.51 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10768, _u10767), hAPP(hAPP(c_COMBC(_u10768, _u10767, _u10767), hAPP(hAPP(c_COMBS(_u10768, _u10767, tc_fun(_u10767, _u10767)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10767, tc_fun(_u10767, _u10767)), _u10768), c_If(_u10767)), hAPP(hAPP(c_COMBC(_u10768, _u10768, tc_HOL_Obool), c_fequal), _u10770))), _u10771)), _u10772)), _u10769) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10767), _u10772), hAPP(c_Finite__Set_Ocard(_u10768), _u10769))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10775), _u10776)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10775, _u10774), _u10777), _u10776) != c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_member(_u10775), _u10778), _u10776)) | ( hAPP(_u10777, _u10778) = c_Groups_Ozero__class_Ozero(_u10774)) | hBOOL(hAPP(hAPP(c_member(_u10775), skolem218(_u10778, _u10777, _u10776, _u10775, _u10774)), _u10776)) )).
% 12.32/12.51 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10775), _u10776)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10775, _u10774), _u10777), _u10776) != c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_member(_u10775), _u10778), _u10776)) | ( hAPP(_u10777, _u10778) = c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10774), c_Groups_Ozero__class_Ozero(_u10774)), hAPP(_u10777, skolem218(_u10778, _u10777, _u10776, _u10775, _u10774)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__triv-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10779, _u10780), _u10781), _u10782), hAPP(_u10781, _u10782)) = _u10781) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u10783) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10783), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10784, _u10783), _u10785), _u10786)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10784, _u10783), hAPP(hAPP(c_COMBB(_u10783, _u10783, _u10784), c_Groups_Oabs__class_Oabs(_u10783)), _u10785)), _u10786)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10787) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10788, _u10787), hAPP(c_COMBK(_u10787, _u10788), c_Groups_Oone__class_Oone(_u10787))), _u10789) = c_Groups_Oone__class_Oone(_u10787)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10790) | ~class_Rings_Oring__1(_u10790) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10790), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, tc_Int_Oint), _u10792), _u10793)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, _u10790), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10790, _u10791), c_Int_Oring__1__class_Oof__int(_u10790)), _u10792)), _u10793)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10794, tc_Nat_Onat), _u10795), _u10796) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10794, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10794), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10795)), _u10796))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10797) | ~class_Rings_Osemiring__1(_u10797) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10797), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10798, tc_Nat_Onat), _u10799), _u10800)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10798, _u10797), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10797, _u10798), c_Nat_Osemiring__1__class_Oof__nat(_u10797)), _u10799)), _u10800)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 12.32/12.51 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(_u10801, tc_Nat_Onat), _u10802), _u10803)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10801, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10801), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10802)), _u10803)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10804) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), hAPP(hAPP(c_COMBS(_u10805, _u10804, _u10804), hAPP(hAPP(c_COMBB(_u10804, tc_fun(_u10804, _u10804), _u10805), c_Groups_Otimes__class_Otimes(_u10804)), _u10806)), _u10807)), _u10808) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10804), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), _u10806), _u10808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), _u10807), _u10808))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u10809, _u10810) != _u10811) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10812, _u10813), _u10809), _u10810), _u10811) = _u10809) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__other-1, axiom, ( ( _u10814 = _u10815) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10816, _u10817), _u10818), _u10815), _u10819), _u10814) = hAPP(_u10818, _u10814)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__twist-1, axiom, ( ( _u10820 = _u10821) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), _u10824), _u10820), _u10825)), _u10821), _u10826) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), _u10824), _u10821), _u10826)), _u10820), _u10825)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__apply-1, axiom, ( ( _u10833 != _u10835) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10837, _u10839), _u10841), _u10835), _u10843), _u10833) = _u10843) )).
% 12.32/12.51 cnf(fact_fun__upd__apply-2, axiom, ( ( _u10834 = _u10836) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10838, _u10840), _u10842), _u10836), _u10844), _u10834) = hAPP(_u10842, _u10834)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10845, _u10846), _u10847), _u10848), _u10849), _u10848) = _u10849) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__upd-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), _u10852), _u10853), _u10854)), _u10853), _u10855) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), _u10852), _u10853), _u10855)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u10865, _u10867) = _u10869) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10861, _u10863), _u10865), _u10867), _u10869) != _u10865) )).
% 12.32/12.51 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u10866, _u10868) != _u10870) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10862, _u10864), _u10866), _u10868), _u10870) = _u10866) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__def-1, axiom, ( ( _u10877 != _u10879) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10881, _u10883), _u10885), _u10879), _u10887), _u10877) = _u10887) )).
% 12.32/12.51 cnf(fact_fun__upd__def-2, axiom, ( ( _u10878 = _u10880) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10882, _u10884), _u10886), _u10880), _u10888), _u10878) = hAPP(_u10886, _u10878)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10889) | ~class_Groups_Ocomm__monoid__mult(_u10889) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10889), _u10890), _u10891) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10889), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10889, tc_Int_Oint), _u10890), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10891))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10894), _u10895)) | ~hBOOL(hAPP(hAPP(c_member(_u10894), _u10892), _u10895)) | ( hAPP(_u10896, _u10892) != c_Groups_Ozero__class_Ozero(_u10893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10894, _u10893), _u10896), _u10895) = c_Groups_Ozero__class_Ozero(_u10893)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) != c_Groups_Ozero__class_Ozero(_u10899)) | hBOOL(hAPP(hAPP(c_member(_u10900), skolem219(_u10902, _u10901, _u10900, _u10899)), _u10901)) )).
% 12.32/12.51 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) != c_Groups_Ozero__class_Ozero(_u10899)) | ( hAPP(_u10902, skolem219(_u10902, _u10901, _u10900, _u10899)) = c_Groups_Ozero__class_Ozero(_u10899)) )).
% 12.32/12.51 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ~hBOOL(hAPP(hAPP(c_member(_u10900), _u10898), _u10901)) | ( hAPP(_u10902, _u10898) != c_Groups_Ozero__class_Ozero(_u10899)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) = c_Groups_Ozero__class_Ozero(_u10899)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10903) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10904, _u10903), _u10905), c_Orderings_Obot__class_Obot(tc_fun(_u10904, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10903)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10906) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10907, _u10906), _u10908), c_Orderings_Obot__class_Obot(tc_fun(_u10907, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10906)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10909) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10910), _u10911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10910, _u10909), _u10912), _u10911) = c_Groups_Oone__class_Oone(_u10909)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10913) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10914), _u10915)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10914, _u10913), _u10916), _u10915) = c_Groups_Oone__class_Oone(_u10913)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10919), _u10917), _u10920)) | ( hAPP(_u10921, _u10917) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.51 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10919), skolem220(_u10921, _u10920, _u10919)), _u10920)) )).
% 12.32/12.51 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10921, skolem220(_u10921, _u10920, _u10919)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10922) | ~class_Groups_Ocomm__monoid__mult(_u10922) | ~c_Nat__Transfer_Onat__set(_u10923) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10922), _u10924), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10922), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10922, tc_Nat_Onat), _u10924), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10923))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10926), _u10927)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), hAPP(hAPP(c_COMBS(_u10926, _u10925, _u10925), hAPP(hAPP(c_COMBB(_u10925, tc_fun(_u10925, _u10925), _u10926), c_Groups_Otimes__class_Otimes(_u10925)), _u10928)), _u10929)), _u10927) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10925), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), _u10928), _u10927)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), _u10929), _u10927))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10930) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10931), _u10932)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), hAPP(hAPP(c_COMBS(_u10931, _u10930, _u10930), hAPP(hAPP(c_COMBB(_u10930, tc_fun(_u10930, _u10930), _u10931), c_Rings_Oinverse__class_Odivide(_u10930)), _u10933)), _u10934)), _u10932) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10930), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), _u10933), _u10932)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), _u10934), _u10932))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dvd__setprod ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dvd__setprod-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10935) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10936), _u10937)) | ~hBOOL(hAPP(hAPP(c_member(_u10936), _u10938), _u10937)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10935), hAPP(_u10939, _u10938)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, _u10935), _u10939), _u10937))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | ~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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | ~hBOOL(hAPP(hAPP(c_member(_u10942), _u10940), _u10943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10944, _u10940))) )).
% 12.32/12.51 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | 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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | hBOOL(hAPP(hAPP(c_member(_u10942), skolem221(_u10944, _u10943, _u10942)), _u10943)) )).
% 12.32/12.51 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | 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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10944, skolem221(_u10944, _u10943, _u10942)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10945) | ~class_Rings_Odvd(_u10945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10946), _u10947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10946, tc_HOL_Obool)), _u10948), _u10947)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10945), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, _u10945), _u10949), _u10948)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, _u10945), _u10949), _u10947))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10952)) | ~hBOOL(hAPP(hAPP(c_member(_u10951), _u10953), _u10952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10951, _u10950), hAPP(hAPP(c_COMBC(_u10951, _u10950, _u10950), hAPP(hAPP(c_COMBS(_u10951, _u10950, tc_fun(_u10950, _u10950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10950, tc_fun(_u10950, _u10950)), _u10951), c_If(_u10950)), hAPP(hAPP(c_COMBC(_u10951, _u10951, tc_HOL_Obool), c_fequal), _u10953))), _u10954)), c_Groups_Oone__class_Oone(_u10950))), _u10952) = hAPP(_u10954, _u10953)) )).
% 12.32/12.51 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10952)) | hBOOL(hAPP(hAPP(c_member(_u10951), _u10953), _u10952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10951, _u10950), hAPP(hAPP(c_COMBC(_u10951, _u10950, _u10950), hAPP(hAPP(c_COMBS(_u10951, _u10950, tc_fun(_u10950, _u10950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10950, tc_fun(_u10950, _u10950)), _u10951), c_If(_u10950)), hAPP(hAPP(c_COMBC(_u10951, _u10951, tc_HOL_Obool), c_fequal), _u10953))), _u10954)), c_Groups_Oone__class_Oone(_u10950))), _u10952) = c_Groups_Oone__class_Oone(_u10950)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10956), _u10957)) | ~hBOOL(hAPP(hAPP(c_member(_u10956), _u10958), _u10957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10956, _u10955), hAPP(hAPP(c_COMBC(_u10956, _u10955, _u10955), hAPP(hAPP(c_COMBS(_u10956, _u10955, tc_fun(_u10955, _u10955)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10955, tc_fun(_u10955, _u10955)), _u10956), c_If(_u10955)), hAPP(c_fequal, _u10958))), _u10959)), c_Groups_Oone__class_Oone(_u10955))), _u10957) = hAPP(_u10959, _u10958)) )).
% 12.32/12.51 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10956), _u10957)) | hBOOL(hAPP(hAPP(c_member(_u10956), _u10958), _u10957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10956, _u10955), hAPP(hAPP(c_COMBC(_u10956, _u10955, _u10955), hAPP(hAPP(c_COMBS(_u10956, _u10955, tc_fun(_u10955, _u10955)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10955, tc_fun(_u10955, _u10955)), _u10956), c_If(_u10955)), hAPP(c_fequal, _u10958))), _u10959)), c_Groups_Oone__class_Oone(_u10955))), _u10957) = c_Groups_Oone__class_Oone(_u10955)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10961), _u10962)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10961, _u10960), hAPP(c_COMBK(_u10960, _u10961), _u10963)), _u10962) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10960), _u10963), hAPP(c_Finite__Set_Ocard(_u10961), _u10962))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10965), _u10966)) | hBOOL(hAPP(hAPP(c_member(_u10965), _u10967), _u10966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10965, _u10964), _u10968), hAPP(hAPP(c_Set_Oinsert(_u10965), _u10967), _u10966)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10964), hAPP(_u10968, _u10967)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10965, _u10964), _u10968), _u10966))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10970), _u10971)) | hBOOL(hAPP(hAPP(c_member(_u10970), _u10972), _u10971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10970, _u10969), _u10973), hAPP(hAPP(c_Set_Oinsert(_u10970), _u10972), _u10971)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10969), hAPP(_u10973, _u10972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10970, _u10969), _u10973), _u10971))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10975), _u10976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10975, _u10974), _u10977), hAPP(hAPP(c_Set_Oinsert(_u10975), _u10978), _u10976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10974), hAPP(_u10977, _u10978)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10975, _u10974), _u10977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10975, tc_HOL_Obool)), _u10976), hAPP(hAPP(c_Set_Oinsert(_u10975), _u10978), c_Orderings_Obot__class_Obot(tc_fun(_u10975, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10980), _u10981)) | ~hBOOL(hAPP(hAPP(c_member(_u10980), _u10982), _u10981)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10980, _u10979), _u10983), _u10981) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10979), hAPP(_u10983, _u10982)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10980, _u10979), _u10983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10980, tc_HOL_Obool)), _u10981), hAPP(hAPP(c_Set_Oinsert(_u10980), _u10982), c_Orderings_Obot__class_Obot(tc_fun(_u10980, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u10984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10985), _u10986)) | ( hAPP(_u10987, _u10988) = c_Groups_Ozero__class_Ozero(_u10984)) | ~hBOOL(hAPP(hAPP(c_member(_u10985), _u10988), _u10986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10985, tc_HOL_Obool)), _u10986), hAPP(hAPP(c_Set_Oinsert(_u10985), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10985, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10984), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), _u10986)), hAPP(_u10987, _u10988))) )).
% 12.32/12.51 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u10984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10985), _u10986)) | ( hAPP(_u10987, _u10988) = c_Groups_Ozero__class_Ozero(_u10984)) | hBOOL(hAPP(hAPP(c_member(_u10985), _u10988), _u10986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10985, tc_HOL_Obool)), _u10986), hAPP(hAPP(c_Set_Oinsert(_u10985), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10985, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), _u10986)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__range__updI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__range__updI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u10989)), hAPP(c_Set_Oimage(_u10990, tc_Option_Ooption(_u10989), _u10991), c_Orderings_Otop__class_Otop(tc_fun(_u10990, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u10989)), hAPP(c_Set_Oimage(_u10990, tc_Option_Ooption(_u10989), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10990, tc_Option_Ooption(_u10989)), _u10991), _u10992), hAPP(c_Option_Ooption_OSome(_u10989), _u10993))), c_Orderings_Otop__class_Otop(tc_fun(_u10990, tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__map__upd ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__map__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10994), _u10995), _u10996)) | ( hAPP(c_Set_Oimage(_u10994, tc_Option_Ooption(_u10997), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10994, tc_Option_Ooption(_u10997)), _u10998), _u10995), hAPP(c_Option_Ooption_OSome(_u10997), _u10999))), _u10996) = hAPP(c_Set_Oimage(_u10994, tc_Option_Ooption(_u10997), _u10998), _u10996)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_map__upd__nonempty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_map__upd__nonempty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, tc_Option_Ooption(_u11001)), _u11002), _u11003), hAPP(c_Option_Ooption_OSome(_u11001), _u11004)) != hAPP(c_COMBK(tc_Option_Ooption(_u11001), _u11000), c_Option_Ooption_ONone(_u11001))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_map__upd__Some__unfold ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_map__upd__Some__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11022 = _u11018) | ( hAPP(_u11016, _u11022) = hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) )).
% 12.32/12.51 cnf(fact_map__upd__Some__unfold-2, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11020 = _u11024) | ( _u11022 != _u11018) )).
% 12.32/12.51 cnf(fact_map__upd__Some__unfold-3, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11020 = _u11024) | ( hAPP(_u11016, _u11022) = hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) )).
% 12.32/12.51 cnf(fact_map__upd__Some__unfold-4, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11013, tc_Option_Ooption(_u11015)), _u11017), _u11019), hAPP(c_Option_Ooption_OSome(_u11015), _u11021)), _u11023) = hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) | ( _u11023 != _u11019) | ( _u11021 != _u11025) )).
% 12.32/12.51 cnf(fact_map__upd__Some__unfold-5, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11013, tc_Option_Ooption(_u11015)), _u11017), _u11019), hAPP(c_Option_Ooption_OSome(_u11015), _u11021)), _u11023) = hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) | ( _u11023 = _u11019) | ( hAPP(_u11017, _u11023) != hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_map__upd__triv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_map__upd__triv-1, axiom, ( ( hAPP(_u11026, _u11027) != hAPP(c_Option_Ooption_OSome(_u11028), _u11029)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11030, tc_Option_Ooption(_u11028)), _u11026), _u11027), hAPP(c_Option_Ooption_OSome(_u11028), _u11029)) = _u11026) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_map__upd__eqD1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_map__upd__eqD1-1, axiom, ( ( _u11035 = _u11037) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11031, tc_Option_Ooption(_u11032)), _u11033), _u11034), hAPP(c_Option_Ooption_OSome(_u11032), _u11035)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11031, tc_Option_Ooption(_u11032)), _u11036), _u11034), hAPP(c_Option_Ooption_OSome(_u11032), _u11037))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_empty__upd__none ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_empty__upd__none-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11038, tc_Option_Ooption(_u11039)), hAPP(c_COMBK(tc_Option_Ooption(_u11039), _u11038), c_Option_Ooption_ONone(_u11039))), _u11040), c_Option_Ooption_ONone(_u11039)), _u11041) = c_Option_Ooption_ONone(_u11039)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Int_Oint), _u11045), _u11044) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11043), c_Int_Onat), _u11045)), _u11044))) | hBOOL(hAPP(hAPP(c_member(_u11043), skolem222(_u11045, _u11044, _u11043)), _u11044)) )).
% 12.32/12.51 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Int_Oint), _u11045), _u11044) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11043), c_Int_Onat), _u11045)), _u11044))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11045, skolem222(_u11045, _u11044, _u11043))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ran__map__upd ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ran__map__upd-1, axiom, ( ( hAPP(_u11046, _u11047) != c_Option_Ooption_ONone(_u11048)) | ( c_Map_Oran(_u11049, _u11048, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11049, tc_Option_Ooption(_u11048)), _u11046), _u11047), hAPP(c_Option_Ooption_OSome(_u11048), _u11050))) = hAPP(hAPP(c_Set_Oinsert(_u11048), _u11050), c_Map_Oran(_u11049, _u11048, _u11046))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__None__restrict ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__None__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11056), _u11058), _u11060)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11056, tc_Option_Ooption(_u11062)), c_Map_Orestrict__map(_u11056, _u11062, _u11064, _u11060)), _u11058), c_Option_Ooption_ONone(_u11062)) = c_Map_Orestrict__map(_u11056, _u11062, _u11064, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11056, tc_HOL_Obool)), _u11060), hAPP(hAPP(c_Set_Oinsert(_u11056), _u11058), c_Orderings_Obot__class_Obot(tc_fun(_u11056, tc_HOL_Obool)))))) )).
% 12.32/12.51 cnf(fact_fun__upd__None__restrict-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11057), _u11059), _u11061)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11057, tc_Option_Ooption(_u11063)), c_Map_Orestrict__map(_u11057, _u11063, _u11065, _u11061)), _u11059), c_Option_Ooption_ONone(_u11063)) = c_Map_Orestrict__map(_u11057, _u11063, _u11065, _u11061)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__in ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11066), _u11067), _u11068)) | ( hAPP(c_Map_Orestrict__map(_u11066, _u11069, _u11070, _u11068), _u11067) = hAPP(_u11070, _u11067)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__map__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__map__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u11071, _u11072, hAPP(c_COMBK(tc_Option_Ooption(_u11072), _u11071), c_Option_Ooption_ONone(_u11072)), _u11073), _u11074) = c_Option_Ooption_ONone(_u11072)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__out ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__out-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11075), _u11076), _u11077)) | ( hAPP(c_Map_Orestrict__map(_u11075, _u11078, _u11079, _u11077), _u11076) = c_Option_Ooption_ONone(_u11078)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__map__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__map__insert-1, axiom, ( ( c_Map_Orestrict__map(_u11080, _u11081, _u11082, hAPP(hAPP(c_Set_Oinsert(_u11080), _u11083), _u11084)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11080, tc_Option_Ooption(_u11081)), c_Map_Orestrict__map(_u11080, _u11081, _u11082, _u11084)), _u11083), hAPP(_u11082, _u11083))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__map__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__map__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11090), _u11092), _u11094)) | ( hAPP(c_Map_Orestrict__map(_u11090, _u11096, _u11098, _u11094), _u11092) = hAPP(_u11098, _u11092)) )).
% 12.32/12.51 cnf(fact_restrict__map__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11091), _u11093), _u11095)) | ( hAPP(c_Map_Orestrict__map(_u11091, _u11097, _u11099, _u11095), _u11093) = c_Option_Ooption_ONone(_u11097)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__map__to__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__map__to__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u11100, _u11101, _u11102, c_Orderings_Obot__class_Obot(tc_fun(_u11100, tc_HOL_Obool))), _u11103) = c_Option_Ooption_ONone(_u11101)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ranI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ranI-1, axiom, ( ( hAPP(_u11104, _u11105) != hAPP(c_Option_Ooption_OSome(_u11106), _u11107)) | hBOOL(hAPP(hAPP(c_member(_u11106), _u11107), c_Map_Oran(_u11108, _u11106, _u11104))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__restrict ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__restrict-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11109, tc_Option_Ooption(_u11110)), c_Map_Orestrict__map(_u11109, _u11110, _u11111, _u11112)), _u11113), _u11114) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11109, tc_Option_Ooption(_u11110)), c_Map_Orestrict__map(_u11109, _u11110, _u11111, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11109, tc_HOL_Obool)), _u11112), hAPP(hAPP(c_Set_Oinsert(_u11109), _u11113), c_Orderings_Obot__class_Obot(tc_fun(_u11109, tc_HOL_Obool)))))), _u11113), _u11114)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ran__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ran__empty-1, axiom, ( ( c_Map_Oran(_u11115, _u11116, hAPP(c_COMBK(tc_Option_Ooption(_u11116), _u11115), c_Option_Ooption_ONone(_u11116))) = c_Orderings_Obot__class_Obot(tc_fun(_u11116, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__fun__upd ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__fun__upd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11123), _u11125), _u11127)) | ( c_Map_Orestrict__map(_u11123, _u11129, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11123, tc_Option_Ooption(_u11129)), _u11131), _u11125), _u11133), _u11127) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11123, tc_Option_Ooption(_u11129)), c_Map_Orestrict__map(_u11123, _u11129, _u11131, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11123, tc_HOL_Obool)), _u11127), hAPP(hAPP(c_Set_Oinsert(_u11123), _u11125), c_Orderings_Obot__class_Obot(tc_fun(_u11123, tc_HOL_Obool)))))), _u11125), _u11133)) )).
% 12.32/12.51 cnf(fact_restrict__fun__upd-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11124), _u11126), _u11128)) | ( c_Map_Orestrict__map(_u11124, _u11130, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11124, tc_Option_Ooption(_u11130)), _u11132), _u11126), _u11134), _u11128) = c_Map_Orestrict__map(_u11124, _u11130, _u11132, _u11128)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__restrict__conv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__restrict__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11135), _u11136), _u11137)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11135, tc_Option_Ooption(_u11138)), c_Map_Orestrict__map(_u11135, _u11138, _u11139, _u11137)), _u11136), _u11140) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11135, tc_Option_Ooption(_u11138)), c_Map_Orestrict__map(_u11135, _u11138, _u11139, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11135, tc_HOL_Obool)), _u11137), hAPP(hAPP(c_Set_Oinsert(_u11135), _u11136), c_Orderings_Obot__class_Obot(tc_fun(_u11135, tc_HOL_Obool)))))), _u11136), _u11140)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__complement__singleton__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__complement__singleton__eq-1, axiom, ( ( c_Map_Orestrict__map(_u11141, _u11142, _u11143, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11141, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11141), _u11144), c_Orderings_Obot__class_Obot(tc_fun(_u11141, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11141, tc_Option_Ooption(_u11142)), _u11143), _u11144), c_Option_Ooption_ONone(_u11142))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__upd__same ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__upd__same-1, axiom, ( ( c_Map_Orestrict__map(_u11145, _u11146, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11145, tc_Option_Ooption(_u11146)), _u11147), _u11148), hAPP(c_Option_Ooption_OSome(_u11146), _u11149)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11145), _u11148), c_Orderings_Obot__class_Obot(tc_fun(_u11145, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u11145, _u11146, _u11147, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11145), _u11148), c_Orderings_Obot__class_Obot(tc_fun(_u11145, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11152), _u11153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11152, _u11151), _u11154), _u11153) != _u11155) | ~hBOOL(hAPP(hAPP(c_member(_u11152), _u11156), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), hAPP(_u11154, _u11156)), _u11155)) | hBOOL(hAPP(hAPP(c_member(_u11152), skolem223(_u11156, _u11155, _u11154, _u11153, _u11152, _u11151)), _u11153)) )).
% 12.32/12.51 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11152), _u11153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11152, _u11151), _u11154), _u11153) != _u11155) | ~hBOOL(hAPP(hAPP(c_member(_u11152), _u11156), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), hAPP(_u11154, _u11156)), _u11155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), c_Groups_Ozero__class_Ozero(_u11151)), hAPP(_u11154, skolem223(_u11156, _u11155, _u11154, _u11153, _u11152, _u11151)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11157), _u11158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11159), _u11160)) | 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), _u11157), _u11159)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11158), _u11160))), c_FunDef_Opair__less)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11163) | ( hAPP(_u11164, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11163), skolem224(_u11165, _u11164, _u11163)), skolem225(_u11165, _u11164, _u11163))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11163), hAPP(_u11164, skolem224(_u11165, _u11164, _u11163))), hAPP(_u11164, skolem225(_u11165, _u11164, _u11163)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), _u11165)) | ( _u11165 = c_Orderings_Obot__class_Obot(tc_fun(_u11163, tc_HOL_Obool))) | ( hAPP(_u11164, c_Big__Operators_Olattice_OSup__fin(_u11163, c_Orderings_Oord__class_Omax(_u11163), _u11165)) = c_Big__Operators_Olattice_OSup__fin(_u11163, c_Orderings_Oord__class_Omax(_u11163), hAPP(c_Set_Oimage(_u11163, _u11163, _u11164), _u11165))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11166), _u11167)) | 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), _u11166), _u11168)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11167), _u11169))), c_FunDef_Opair__less)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11170), _u11171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11172), _u11173)) | 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), _u11170), _u11172)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11171), _u11173))), c_FunDef_Opair__leq)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11174), _u11175)) | ~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)), _u11174), _u11176)), 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)), _u11175), _u11177)), 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)), _u11175), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11176), _u11177))), c_FunDef_Omin__strict)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11178), _u11179)) | ~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)), _u11180), _u11178)), 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)), _u11181), _u11179)), 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)), _u11180), _u11181)), _u11179)), c_FunDef_Omax__strict)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_smin__emptyI-1, axiom, ( ( _u11182 = 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)), _u11182), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11183)) | ( _u11183 = 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))), _u11183)), c_FunDef_Omax__strict)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11184), _u11185)) | 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), _u11184), _u11186)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11185), _u11187))), c_FunDef_Opair__leq)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11188), _u11189)) | ~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)), _u11190), _u11188)), 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)), _u11191), _u11189)), 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)), _u11190), _u11191)), _u11189)), c_FunDef_Omax__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11192), _u11193)) | ~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)), _u11192), _u11194)), 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)), _u11193), _u11195)), 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)), _u11193), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11194), _u11195))), c_FunDef_Omin__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11196)) | 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))), _u11196)), c_FunDef_Omax__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 12.32/12.51 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)), _u11197), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__weak__def-1, axiom, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_max__weak__def-1, axiom, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_max__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_max__strict__def-1, axiom, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), _u11199), _u11200)), c_Wellfounded_Omax__ext(_u11198, _u11201))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), _u11202), _u11203)), c_Wellfounded_Omax__ext(_u11198, _u11201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11198, tc_HOL_Obool)), _u11199), _u11202)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11198, tc_HOL_Obool)), _u11200), _u11203))), c_Wellfounded_Omax__ext(_u11198, _u11201))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__strict__def-1, axiom, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11208, hAPP(hAPP(c_COMBC(_u11208, tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11208, tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), _u11208), c_COMBC(_u11208, tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11208, tc_prod(_u11208, _u11208)), tc_fun(_u11208, tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), _u11208), hAPP(c_COMBB(tc_prod(_u11208, _u11208), tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool), _u11208), c_member(tc_prod(_u11208, _u11208)))), c_Product__Type_OPair(_u11208, _u11208)))), _u11210), _u11212, _u11214) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11208, tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11208, tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), _u11212), _u11214)), c_Wellfounded_Omax__ext(_u11208, _u11210))) )).
% 12.32/12.51 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11209, tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11209, tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), _u11213), _u11215)), c_Wellfounded_Omax__ext(_u11209, _u11211))) | c_Wellfounded_Omax__extp(_u11209, hAPP(hAPP(c_COMBC(_u11209, tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11209, tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), _u11209), c_COMBC(_u11209, tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11209, tc_prod(_u11209, _u11209)), tc_fun(_u11209, tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), _u11209), hAPP(c_COMBB(tc_prod(_u11209, _u11209), tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool), _u11209), c_member(tc_prod(_u11209, _u11209)))), c_Product__Type_OPair(_u11209, _u11209)))), _u11211), _u11213, _u11215) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11218), _u11220)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11218), _u11220)) )).
% 12.32/12.51 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11219), _u11221)) | 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), _u11219), _u11221)), c_Wellfounded_Oless__than)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11226), _u11228)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11230), _u11232))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11226), _u11232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11230), _u11228)) )).
% 12.32/12.51 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11227), _u11233) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11231), _u11229)) | 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), _u11227), _u11229)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11231), _u11233))), c_Int_Ointrel)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pair__less__def-1, axiom, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u11234, _u11235, _u11236) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11234), _u11234), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11234, c_Wellfounded_Oless__than, _u11236)), hAPP(hAPP(c_COMBS(_u11234, _u11234, tc_prod(tc_Nat_Onat, _u11234)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11234, tc_prod(tc_Nat_Onat, _u11234)), _u11234), c_Product__Type_OPair(tc_Nat_Onat, _u11234)), _u11235)), c_COMBI(_u11234)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u11237, _u11238) | c_FunDef_Oreduction__pair(_u11239, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11237, _u11239), _u11238), _u11240)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11243) | ( hAPP(_u11244, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11243), skolem226(_u11245, _u11244, _u11243)), skolem227(_u11245, _u11244, _u11243))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11243), hAPP(_u11244, skolem226(_u11245, _u11244, _u11243))), hAPP(_u11244, skolem227(_u11245, _u11244, _u11243)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11245)) | ( _u11245 = c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool))) | ( hAPP(_u11244, c_Big__Operators_Olattice_OInf__fin(_u11243, c_Orderings_Oord__class_Omin(_u11243), _u11245)) = c_Big__Operators_Olattice_OInf__fin(_u11243, c_Orderings_Oord__class_Omin(_u11243), hAPP(c_Set_Oimage(_u11243, _u11243, _u11244), _u11245))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u11246, _u11247) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), c_COMBS(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(_u11247, _u11246)), c_Product__Type_OPair(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11246, _u11247))))), c_Relation_Oinv__image(_u11246, _u11247)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11260, _u11260)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11260), hAPP(_u11264, _u11256)), hAPP(_u11264, _u11258))), _u11262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11254, _u11254)), hAPP(hAPP(c_Product__Type_OPair(_u11254, _u11254), _u11256), _u11258)), hAPP(hAPP(c_Relation_Oinv__image(_u11260, _u11254), _u11262), _u11264))) )).
% 12.32/12.51 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11261, _u11261)), hAPP(hAPP(c_Product__Type_OPair(_u11261, _u11261), hAPP(_u11265, _u11257)), hAPP(_u11265, _u11259))), _u11263)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11255)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11255), _u11257), _u11259)), hAPP(hAPP(c_Relation_Oinv__image(_u11261, _u11255), _u11263), _u11265))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11268) | ( hAPP(_u11269, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11268), skolem228(_u11270, _u11269, _u11268)), skolem229(_u11270, _u11269, _u11268))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11268), hAPP(_u11269, skolem228(_u11270, _u11269, _u11268))), hAPP(_u11269, skolem229(_u11270, _u11269, _u11268)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11268), _u11270)) | ( _u11270 = c_Orderings_Obot__class_Obot(tc_fun(_u11268, tc_HOL_Obool))) | ( hAPP(_u11269, c_Big__Operators_Olinorder__class_OMax(_u11268, _u11270)) = c_Big__Operators_Olinorder__class_OMax(_u11268, hAPP(c_Set_Oimage(_u11268, _u11268, _u11269), _u11270))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11273) | ( hAPP(_u11274, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11273), skolem230(_u11275, _u11274, _u11273)), skolem231(_u11275, _u11274, _u11273))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11273), hAPP(_u11274, skolem230(_u11275, _u11274, _u11273))), hAPP(_u11274, skolem231(_u11275, _u11274, _u11273)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11273), _u11275)) | ( _u11275 = c_Orderings_Obot__class_Obot(tc_fun(_u11273, tc_HOL_Obool))) | ( hAPP(_u11274, c_Big__Operators_Olinorder__class_OMin(_u11273, _u11275)) = c_Big__Operators_Olinorder__class_OMin(_u11273, hAPP(c_Set_Oimage(_u11273, _u11273, _u11274), _u11275))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u11276) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11276), c_Wellfounded_Oless__than)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u11281, _u11283) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11281, _u11281)), hAPP(hAPP(c_Product__Type_OPair(_u11281, _u11281), _u11277), _u11277)), _u11283)) )).
% 12.32/12.51 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), skolem232(_u11284, _u11282)), skolem232(_u11284, _u11282))), _u11284)) | c_Relation_Oirrefl(_u11282, _u11284) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u11285), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11285, _u11285)), hAPP(hAPP(c_Product__Type_OPair(_u11285, _u11285), _u11286), _u11287)), _u11288)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11285, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11285), _u11286), hAPP(hAPP(c_Set_Oinsert(_u11285), _u11287), c_Orderings_Obot__class_Obot(tc_fun(_u11285, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11285), _u11288))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u11289, _u11290) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11289, tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), _u11290), hAPP(hAPP(c_COMBC(_u11289, tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool), tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11289, _u11289), tc_fun(tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool), tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), _u11289), c_Set_Oinsert(tc_prod(_u11289, _u11289))), hAPP(hAPP(c_COMBS(_u11289, _u11289, tc_prod(_u11289, _u11289)), c_Product__Type_OPair(_u11289, _u11289)), c_COMBI(_u11289)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u11291, _u11292) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11291, _u11291, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11291, tc_HOL_Obool, tc_fun(_u11291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11291, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11291, tc_HOL_Obool)), _u11291), c_COMBC(_u11291, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11291), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11291), c_fconj)), c_fequal))), _u11292))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u11293, c_Orderings_Obot__class_Obot(tc_fun(_u11293, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11293, _u11293), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u11294), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11294, _u11294), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11294, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11295, _u11295), tc_HOL_Obool)), _u11296), _u11297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11295, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11295), _u11296)), hAPP(c_Relation_OField(_u11295), _u11297))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u11298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11298, _u11298), tc_HOL_Obool)), _u11299), _u11300)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11298, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11298), _u11299)), hAPP(c_Relation_OField(_u11298), _u11300))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11301, _u11301)), _u11302)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11301), hAPP(c_Relation_OField(_u11301), _u11302))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__on__eqI-1, axiom, ( ( _u11303 != _u11304) | ~hBOOL(hAPP(hAPP(c_member(_u11305), _u11303), _u11306)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11305, _u11305)), hAPP(hAPP(c_Product__Type_OPair(_u11305, _u11305), _u11303), _u11304)), c_Relation_OId__on(_u11305, _u11306))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11311, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11311, _u11311), _u11313), _u11315)), c_Relation_OId__on(_u11311, _u11317))) | ( _u11313 = _u11315) )).
% 12.32/12.51 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11311, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11311, _u11311), _u11313), _u11315)), c_Relation_OId__on(_u11311, _u11317))) | hBOOL(hAPP(hAPP(c_member(_u11311), _u11313), _u11317)) )).
% 12.32/12.51 cnf(fact_Id__on__iff-3, axiom, ( ( _u11314 != _u11316) | ~hBOOL(hAPP(hAPP(c_member(_u11312), _u11314), _u11318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11312, _u11312)), hAPP(hAPP(c_Product__Type_OPair(_u11312, _u11312), _u11314), _u11316)), c_Relation_OId__on(_u11312, _u11318))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11320, _u11320)), _u11321), c_Relation_OId__on(_u11320, _u11322))) | hBOOL(hAPP(hAPP(c_member(_u11320), skolem233(_u11322, _u11321, _u11320)), _u11322)) )).
% 12.32/12.51 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11320, _u11320)), _u11321), c_Relation_OId__on(_u11320, _u11322))) | ( _u11321 = hAPP(hAPP(c_Product__Type_OPair(_u11320, _u11320), skolem233(_u11322, _u11321, _u11320)), skolem233(_u11322, _u11321, _u11320))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11325) | ( hAPP(_u11326, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11325), skolem234(_u11327, _u11326, _u11325)), skolem235(_u11327, _u11326, _u11325))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11325), hAPP(_u11326, skolem234(_u11327, _u11326, _u11325))), hAPP(_u11326, skolem235(_u11327, _u11326, _u11325)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11325), _u11327)) | ( _u11327 = c_Orderings_Obot__class_Obot(tc_fun(_u11325, tc_HOL_Obool))) | ( hAPP(_u11326, c_Big__Operators_Olattice__class_OSup__fin(_u11325, _u11327)) = c_Big__Operators_Olattice__class_OSup__fin(_u11325, hAPP(c_Set_Oimage(_u11325, _u11325, _u11326), _u11327))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11330), _u11331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11330, tc_HOL_Obool)), _u11332), _u11331)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11332) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11331)) | hBOOL(hAPP(hAPP(c_member(_u11330), skolem236(_u11333, _u11332, _u11331, _u11330, _u11329)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11330, tc_HOL_Obool)), _u11331), _u11332))) )).
% 12.32/12.51 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11330), _u11331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11330, tc_HOL_Obool)), _u11332), _u11331)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11332) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11331)) | ( hAPP(_u11333, skolem236(_u11333, _u11332, _u11331, _u11330, _u11329)) != c_Groups_Oone__class_Oone(_u11329)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11336), _u11337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11336, tc_HOL_Obool)), _u11338), _u11337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11338)) | hBOOL(hAPP(hAPP(c_member(_u11336), skolem237(_u11339, _u11338, _u11337, _u11336, _u11335)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11336, tc_HOL_Obool)), _u11337), _u11338))) )).
% 12.32/12.51 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11336), _u11337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11336, tc_HOL_Obool)), _u11338), _u11337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11338)) | ( hAPP(_u11339, skolem237(_u11339, _u11338, _u11337, _u11336, _u11335)) != c_Groups_Oone__class_Oone(_u11335)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11342), _u11343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11342, tc_HOL_Obool)), _u11344), _u11343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11343) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11344)) | hBOOL(hAPP(hAPP(c_member(_u11342), skolem238(_u11345, _u11344, _u11343, _u11342, _u11341)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11342, tc_HOL_Obool)), _u11343), _u11344))) )).
% 12.32/12.51 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11342), _u11343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11342, tc_HOL_Obool)), _u11344), _u11343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11343) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11344)) | ( hAPP(_u11345, skolem238(_u11345, _u11344, _u11343, _u11342, _u11341)) != c_Groups_Ozero__class_Ozero(_u11341)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11348), _u11349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11348, tc_HOL_Obool)), _u11350), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11350) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11349)) | hBOOL(hAPP(hAPP(c_member(_u11348), skolem239(_u11351, _u11350, _u11349, _u11348, _u11347)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11348, tc_HOL_Obool)), _u11349), _u11350))) )).
% 12.32/12.51 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11348), _u11349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11348, tc_HOL_Obool)), _u11350), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11350) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11349)) | ( hAPP(_u11351, skolem239(_u11351, _u11350, _u11349, _u11348, _u11347)) != c_Groups_Ozero__class_Ozero(_u11347)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11352), _u11353)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11352, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11352), _u11353)) = 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(_u11352), _u11353))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.51 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11356), skolem240(_u11358, _u11357, _u11356)), skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.51 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(_u11358, skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.51 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11358, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11356, tc_HOL_Obool)), skolem241(_u11358, _u11357, _u11356)), hAPP(hAPP(c_Set_Oinsert(_u11356), skolem240(_u11358, _u11357, _u11356)), c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_escape ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), _u11361), _u11364), _u11365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u11361, skolem242(_u11365, _u11364, _u11363, _u11362, _u11361)), skolem243(_u11365, _u11364, _u11363, _u11362, _u11361))) )).
% 12.32/12.51 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), _u11361), _u11364), _u11365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u11362), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem243(_u11365, _u11364, _u11363, _u11362, _u11361)))), _u11364), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u11362), hAPP(_u11365, skolem242(_u11365, _u11364, _u11363, _u11362, _u11361))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_PowI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11366, tc_HOL_Obool)), _u11367), _u11368)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11366, tc_HOL_Obool)), _u11367), hAPP(c_Set_OPow(_u11366), _u11368))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u11369), hAPP(hAPP(c_Set_Oinsert(_u11369), _u11370), _u11371)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11369, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11369), _u11371)), hAPP(c_Set_Oimage(tc_fun(_u11369, tc_HOL_Obool), tc_fun(_u11369, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11369), _u11370)), hAPP(c_Set_OPow(_u11369), _u11371)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11372, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11372, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11372, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11372, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11373, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11373, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11373), _u11374))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11375), _u11376) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11375, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11377, tc_HOL_Obool)), _u11378), hAPP(c_Set_OPow(_u11377), _u11378))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11382, tc_HOL_Obool)), _u11384), hAPP(c_Set_OPow(_u11382), _u11386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11382, tc_HOL_Obool)), _u11384), _u11386)) )).
% 12.32/12.51 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11383, tc_HOL_Obool)), _u11385), _u11387)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11383, tc_HOL_Obool)), _u11385), hAPP(c_Set_OPow(_u11383), _u11387))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_PowD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11388, tc_HOL_Obool)), _u11389), hAPP(c_Set_OPow(_u11388), _u11390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11388, tc_HOL_Obool)), _u11389), _u11390)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u11392, tc_fun(_u11392, tc_HOL_Obool), _u11391), _u11393) != hAPP(c_Set_OPow(_u11392), _u11393)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11394, _u11395, _u11396), _u11397) != _u11398) | ( hAPP(c_Set_Oimage(tc_fun(_u11394, tc_HOL_Obool), tc_fun(_u11395, tc_HOL_Obool), c_Set_Oimage(_u11394, _u11395, _u11396)), hAPP(c_Set_OPow(_u11394), _u11397)) = hAPP(c_Set_OPow(_u11395), _u11398)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u11399), c_Orderings_Otop__class_Otop(tc_fun(_u11399, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11399, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11402, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11402), _u11404))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11402), _u11404)) )).
% 12.32/12.51 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11403), _u11405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11403), _u11405))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11406, tc_HOL_Obool)), _u11407), _u11408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11406, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11406), _u11407)), hAPP(c_Set_OPow(_u11406), _u11408))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11409, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11409, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11409), _u11410)), hAPP(c_Set_OPow(_u11409), _u11411))), hAPP(c_Set_OPow(_u11409), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11409, tc_HOL_Obool)), _u11410), _u11411)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11413, tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool)), _u11414), hAPP(hAPP(c_COMBB(tc_fun(_u11412, tc_HOL_Obool), tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool), _u11413), c_Set_OPow(_u11412)), _u11415))), hAPP(c_Set_OPow(_u11412), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11413, tc_fun(_u11412, tc_HOL_Obool)), _u11414), _u11415)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11419, hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11419)), _u11421)), _u11423)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11419, tc_HOL_Obool)), _u11423), hAPP(c_Set_OPow(_u11419), _u11421))) )).
% 12.32/12.51 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11420, tc_HOL_Obool)), _u11424), hAPP(c_Set_OPow(_u11420), _u11422))) | hBOOL(hAPP(c_Predicate_OPowp(_u11420, hAPP(hAPP(c_COMBC(_u11420, tc_fun(_u11420, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11420)), _u11422)), _u11424)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11425, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11426, _u11425, _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11425, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11426, tc_HOL_Obool), tc_fun(_u11425, tc_HOL_Obool), c_Set_Oimage(_u11426, _u11425, _u11427)), hAPP(c_Set_OPow(_u11426), _u11428))), hAPP(c_Set_OPow(_u11425), _u11429))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11430, _u11431, _u11432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11430), _u11433)) | ( _u11433 = c_Orderings_Obot__class_Obot(tc_fun(_u11430, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11430), _u11434)) | ( _u11434 = c_Orderings_Obot__class_Obot(tc_fun(_u11430, tc_HOL_Obool))) | ( hAPP(_u11432, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11430, tc_HOL_Obool)), _u11433), _u11434)) = hAPP(hAPP(_u11431, hAPP(_u11432, _u11433)), hAPP(_u11432, _u11434))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.51 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(hAPP(c_member(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), _u11439)) )).
% 12.32/12.51 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | ~hBOOL(hAPP(hAPP(c_member(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.51 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(_u11440, skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.51 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | ~hBOOL(hAPP(_u11440, hAPP(hAPP(c_Set_Oinsert(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), skolem245(_u11440, _u11439, _u11438, _u11437)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11441, _u11442, _u11443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11441), _u11444)) | ( _u11445 = c_Orderings_Obot__class_Obot(tc_fun(_u11441, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11441, tc_HOL_Obool)), _u11445), _u11444)) | ( hAPP(hAPP(_u11442, hAPP(_u11443, _u11445)), hAPP(_u11443, _u11444)) = hAPP(_u11443, _u11444)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u11447, _u11449), _u11449) = _u11449) | ~c_Finite__Set_Ofolding__one__idem(_u11446, _u11447, _u11448) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11450, _u11451, _u11452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11450), _u11453)) | ~hBOOL(hAPP(hAPP(c_member(_u11450), _u11454), _u11453)) | ( hAPP(hAPP(_u11451, _u11454), hAPP(_u11452, _u11453)) = hAPP(_u11452, _u11453)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11455, _u11456, _u11457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11455), _u11458)) | ( _u11458 = c_Orderings_Obot__class_Obot(tc_fun(_u11455, tc_HOL_Obool))) | ( hAPP(_u11457, hAPP(hAPP(c_Set_Oinsert(_u11455), _u11459), _u11458)) = hAPP(hAPP(_u11456, _u11459), hAPP(_u11457, _u11458))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11461) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11462), _u11463)) | ( _u11463 = c_Orderings_Obot__class_Obot(tc_fun(_u11462, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11464), _u11463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11465), _u11463))) | hBOOL(hAPP(hAPP(c_member(_u11462), skolem246(_u11465, _u11464, _u11463, _u11462, _u11461)), _u11463)) )).
% 12.32/12.51 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11461) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11462), _u11463)) | ( _u11463 = c_Orderings_Obot__class_Obot(tc_fun(_u11462, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11464), _u11463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11465), _u11463))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(_u11464, skolem246(_u11465, _u11464, _u11463, _u11462, _u11461))), hAPP(_u11465, skolem246(_u11465, _u11464, _u11463, _u11462, _u11461)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 12.32/12.51 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)), _u11468), 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)), _u11470), 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)), _u11468), _u11470)), c_Int_Ointrel)) )).
% 12.32/12.51 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)), _u11469), _u11471)), 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)), _u11469), 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)), _u11471), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Plus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Plus-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11473), _u11474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11475), _u11476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(_u11473, _u11475), _u11472), _u11477), c_Sum__Type_OPlus(_u11473, _u11475, _u11474, _u11476)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11472), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), hAPP(c_Fun_Ocomp(tc_sum(_u11473, _u11475), _u11472, _u11473, _u11477), c_Sum__Type_OInl(_u11473, _u11475))), _u11474)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11475, _u11472), hAPP(c_Fun_Ocomp(tc_sum(_u11473, _u11475), _u11472, _u11475, _u11477), c_Sum__Type_OInr(_u11475, _u11473))), _u11476))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u11478, _u11479, _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11478, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11479, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11481, tc_HOL_Obool)), _u11484), _u11485)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11482, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), _u11484)), hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), _u11485))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11486, _u11487, _u11488), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11489, tc_fun(_u11486, tc_HOL_Obool)), _u11490), _u11491)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11489, tc_fun(_u11487, tc_HOL_Obool)), _u11490), hAPP(hAPP(c_COMBB(tc_fun(_u11486, tc_HOL_Obool), tc_fun(_u11487, tc_HOL_Obool), _u11489), c_Relation_OImage(_u11486, _u11487, _u11488)), _u11491))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u11492, _u11493, hAPP(c_Fun_Ocomp(_u11494, _u11493, _u11492, _u11495), _u11496)), _u11497) = hAPP(c_Set_Oimage(_u11494, _u11493, _u11495), hAPP(c_Set_Oimage(_u11492, _u11494, _u11496), _u11497))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11498, _u11499, _u11500, hAPP(c_COMBK(_u11499, _u11498), _u11501)), _u11502), _u11503) = _u11501) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u11507, hAPP(_u11508, _u11510)) = hAPP(_u11509, _u11510)) | ( hAPP(c_Fun_Ocomp(_u11504, _u11505, _u11506, _u11507), _u11508) != _u11509) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11511, _u11512, _u11513, _u11514), _u11515), _u11516) = hAPP(_u11514, hAPP(_u11515, _u11516))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11517, _u11518, _u11519, _u11520), hAPP(c_Fun_Ocomp(_u11521, _u11517, _u11519, _u11522), _u11523)) = hAPP(c_Fun_Ocomp(_u11521, _u11518, _u11519, hAPP(c_Fun_Ocomp(_u11517, _u11518, _u11521, _u11520), _u11522)), _u11523)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11524, _u11525, _u11526, _u11527), _u11528), _u11529) = hAPP(_u11527, hAPP(_u11528, _u11529))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u11533, hAPP(_u11534, _u11538)) = hAPP(_u11536, hAPP(_u11537, _u11538))) | ( hAPP(c_Fun_Ocomp(_u11530, _u11531, _u11532, _u11533), _u11534) != hAPP(c_Fun_Ocomp(_u11535, _u11531, _u11532, _u11536), _u11537)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u11543, hAPP(_u11544, _u11539)) = hAPP(_u11546, hAPP(_u11547, _u11539))) | ( hAPP(c_Fun_Ocomp(_u11540, _u11541, _u11542, _u11543), _u11544) != hAPP(c_Fun_Ocomp(_u11545, _u11541, _u11542, _u11546), _u11547)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11548, _u11549, _u11550, _u11551), hAPP(c_Product__Type_Oapfst(_u11552, _u11548, _u11550, _u11553), _u11554)) = hAPP(c_Product__Type_Oapfst(_u11552, _u11549, _u11550, hAPP(c_Fun_Ocomp(_u11548, _u11549, _u11552, _u11551), _u11553)), _u11554)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11555, _u11556, _u11557, _u11558), hAPP(c_Product__Type_Oapsnd(_u11559, _u11555, _u11557, _u11560), _u11561)) = hAPP(c_Product__Type_Oapsnd(_u11559, _u11556, _u11557, hAPP(c_Fun_Ocomp(_u11555, _u11556, _u11559, _u11558), _u11560)), _u11561)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u11562, hAPP(_u11563, _u11564)) != hAPP(_u11565, hAPP(_u11566, _u11567))) | ( hAPP(hAPP(c_Fun_Ocomp(_u11568, _u11569, _u11570, _u11562), _u11563), _u11564) = hAPP(hAPP(c_Fun_Ocomp(_u11571, _u11569, _u11572, _u11565), _u11566), _u11567)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11573, _u11574, _u11575, _u11576), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11575, _u11573), _u11577), _u11578), _u11579)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11575, _u11574), hAPP(c_Fun_Ocomp(_u11573, _u11574, _u11575, _u11576), _u11577)), _u11578), hAPP(_u11576, _u11579))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11580, _u11581, _u11582), c_Orderings_Otop__class_Otop(tc_fun(_u11580, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11581, _u11583, _u11584), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11583, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11580, _u11583, hAPP(c_Fun_Ocomp(_u11581, _u11583, _u11580, _u11584), _u11582)), c_Orderings_Otop__class_Otop(tc_fun(_u11580, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11583, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11585, _u11586), tc_HOL_Obool)), _u11587), _u11588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11585, tc_HOL_Obool)), _u11589), _u11590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11586, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11585, _u11586, _u11587), _u11589)), hAPP(c_Relation_OImage(_u11585, _u11586, _u11588), _u11590))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u11591, _u11592, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11591, _u11592), tc_HOL_Obool)), _u11593), _u11594)), _u11595) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11592, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11591, _u11592, _u11593), _u11595)), hAPP(c_Relation_OImage(_u11591, _u11592, _u11594), _u11595))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11603), _u11605), hAPP(c_Relation_OImage(_u11607, _u11603, _u11609), _u11611))) | hBOOL(hAPP(hAPP(c_member(_u11607), skolem247(_u11611, _u11609, _u11607, _u11605, _u11603)), _u11611)) )).
% 12.32/12.51 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11603), _u11605), hAPP(c_Relation_OImage(_u11607, _u11603, _u11609), _u11611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11607, _u11603)), hAPP(hAPP(c_Product__Type_OPair(_u11607, _u11603), skolem247(_u11611, _u11609, _u11607, _u11605, _u11603)), _u11605)), _u11609)) )).
% 12.32/12.51 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11608), _u11597), _u11612)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11608, _u11604)), hAPP(hAPP(c_Product__Type_OPair(_u11608, _u11604), _u11597), _u11606)), _u11610)) | hBOOL(hAPP(hAPP(c_member(_u11604), _u11606), hAPP(c_Relation_OImage(_u11608, _u11604, _u11610), _u11612))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11613), _u11614), _u11615)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11613, _u11616)), hAPP(hAPP(c_Product__Type_OPair(_u11613, _u11616), _u11614), _u11617)), _u11618)) | hBOOL(hAPP(hAPP(c_member(_u11616), _u11617), hAPP(c_Relation_OImage(_u11613, _u11616, _u11618), _u11615))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11619, _u11620, _u11621), _u11622) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11619, tc_fun(_u11620, tc_HOL_Obool)), _u11622), hAPP(hAPP(c_COMBB(tc_fun(_u11619, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool), _u11619), c_Relation_OImage(_u11619, _u11620, _u11621)), hAPP(hAPP(c_COMBC(_u11619, tc_fun(_u11619, tc_HOL_Obool), tc_fun(_u11619, tc_HOL_Obool)), c_Set_Oinsert(_u11619)), c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11628), _u11630), hAPP(c_Relation_OImage(_u11632, _u11628, _u11634), hAPP(hAPP(c_Set_Oinsert(_u11632), _u11636), c_Orderings_Obot__class_Obot(tc_fun(_u11632, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11628)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11628), _u11636), _u11630)), _u11634)) )).
% 12.32/12.51 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11629)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11629), _u11637), _u11631)), _u11635)) | hBOOL(hAPP(hAPP(c_member(_u11629), _u11631), hAPP(c_Relation_OImage(_u11633, _u11629, _u11635), hAPP(hAPP(c_Set_Oinsert(_u11633), _u11637), c_Orderings_Obot__class_Obot(tc_fun(_u11633, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_of__int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u11638) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11638), 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), _u11639), _u11640)), 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(_u11638), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11638), _u11639)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11638), _u11640))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_One__int__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_mult ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11641), _u11642)), 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), _u11643), _u11644)), 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), _u11641), _u11643)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11642), _u11644))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11641), _u11644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11642), _u11643)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11645, tc_fun(_u11646, tc_HOL_Obool)), _u11647), hAPP(c_Fun_Ocomp(_u11648, tc_fun(_u11646, tc_HOL_Obool), _u11645, _u11649), _u11650)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11648, tc_fun(_u11646, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11645, _u11648, _u11650), _u11647)), _u11649)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11651)) = _u11651) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11652, _u11653, _u11654), hAPP(c_Fun_Ocomp(_u11655, tc_fun(_u11653, _u11654), _u11652, _u11656), _u11657)), _u11658) = hAPP(hAPP(_u11656, hAPP(_u11657, hAPP(c_Product__Type_Ofst(_u11652, _u11653), _u11658))), hAPP(c_Product__Type_Osnd(_u11652, _u11653), _u11658))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_number__of__code__numeral__def-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_int__of__def-1, axiom, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_minus ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11659), _u11660)), 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), _u11660), _u11659)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Zero__int__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_int__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11661) = 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), _u11661), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_add ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11662), _u11663)), 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), _u11664), _u11665)), 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), _u11662), _u11664)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11663), _u11665))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_nat ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11666), _u11667)), 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), _u11666), _u11667)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11668) = 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, _u11668)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_less ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11673), _u11675)), 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), _u11677), _u11679)), 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), _u11673), _u11679)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11677), _u11675))) )).
% 12.32/12.51 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), _u11674), _u11680)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11678), _u11676))) | 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), _u11674), _u11676)), 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), _u11678), _u11680)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le ( axiom ) converted to clauses:
% 12.32/12.51 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), _u11685), _u11687)), 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), _u11689), _u11691)), 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), _u11685), _u11691)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11689), _u11687))) )).
% 12.32/12.51 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), _u11686), _u11692)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11690), _u11688))) | 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), _u11686), _u11688)), 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), _u11690), _u11692)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Loop__sound__lemma ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Loop__sound__lemma-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u11693, _u11694, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11693)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11693), c_Hoare__Mirabelle_Opeek__and(_u11693, _u11695, _u11696)), _u11697), _u11695)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11693), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u11693, _u11694, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11693)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11693), _u11695), c_Com_Ocom_OWhile(_u11696, _u11697)), c_Hoare__Mirabelle_Opeek__and(_u11693, _u11695, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11696)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11693), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u11698) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11698, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11698))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u11699) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11699, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11699))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11705, _u11707, _u11709), _u11711), _u11713)) | hBOOL(hAPP(hAPP(_u11707, _u11711), _u11713)) )).
% 12.32/12.51 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11705, _u11707, _u11709), _u11711), _u11713)) | hBOOL(hAPP(_u11709, _u11713)) )).
% 12.32/12.51 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u11708, _u11712), _u11714)) | ~hBOOL(hAPP(_u11710, _u11714)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11706, _u11708, _u11710), _u11712), _u11714)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Loop ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11715, _u11716, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11715)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11715), c_Hoare__Mirabelle_Opeek__and(_u11715, _u11717, _u11718)), _u11719), _u11717)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11715), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11715, _u11716, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11715)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11715), _u11717), c_Com_Ocom_OWhile(_u11718, _u11719)), c_Hoare__Mirabelle_Opeek__and(_u11715, _u11717, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11718)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11715), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), c_Hoare__Mirabelle_Opeek__and(_u11720, _u11722, _u11723)), _u11724), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), c_Hoare__Mirabelle_Opeek__and(_u11720, _u11722, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11723))), _u11726), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), _u11722), c_Com_Ocom_OCond(_u11723, _u11724, _u11726)), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u11727, _u11728, _u11729, _u11730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11727), _u11731)) | ~hBOOL(hAPP(hAPP(c_member(_u11727), _u11732), _u11731)) | ( hAPP(_u11730, _u11731) = hAPP(c_Fun_Ocomp(_u11728, _u11728, _u11728, hAPP(_u11730, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11727, tc_HOL_Obool)), _u11731), hAPP(hAPP(c_Set_Oinsert(_u11727), _u11732), c_Orderings_Obot__class_Obot(tc_fun(_u11727, tc_HOL_Obool)))))), hAPP(_u11729, _u11732))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u11735 = 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), skolem248(_u11735)), skolem249(_u11735))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u11736, _u11737, _u11738, _u11739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11736), _u11740)) | ( hAPP(_u11739, hAPP(hAPP(c_Set_Oinsert(_u11736), _u11741), _u11740)) = hAPP(c_Fun_Ocomp(_u11737, _u11737, _u11737, hAPP(_u11739, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11736, tc_HOL_Obool)), _u11740), hAPP(hAPP(c_Set_Oinsert(_u11736), _u11741), c_Orderings_Obot__class_Obot(tc_fun(_u11736, tc_HOL_Obool)))))), hAPP(_u11738, _u11741))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u11742, _u11743, _u11744, _u11745) | ( hAPP(c_Fun_Ocomp(_u11746, _u11747, _u11748, _u11749), hAPP(c_Fun_Ocomp(_u11750, _u11746, _u11748, _u11751), _u11752)) = hAPP(c_Fun_Ocomp(_u11750, _u11747, _u11748, hAPP(c_Fun_Ocomp(_u11746, _u11747, _u11750, _u11749), _u11751)), _u11752)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11754, _u11754, _u11754, hAPP(_u11755, _u11757)), hAPP(_u11755, _u11758)) = hAPP(c_Fun_Ocomp(_u11754, _u11754, _u11754, hAPP(_u11755, _u11758)), hAPP(_u11755, _u11757))) | ~c_Finite__Set_Ofolding(_u11753, _u11754, _u11755, _u11756) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11764)), hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11765)), _u11766)) = hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11765)), hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11764)), _u11766))) | ~c_Finite__Set_Ofolding(_u11759, _u11760, _u11761, _u11762) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11767, _u11768, _u11769, _u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11767), _u11771)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11767), _u11772)) | ( hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11772)), hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11771)), _u11774)) = hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11771)), hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11772)), _u11774))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11775, _u11776, _u11777, _u11778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11775), _u11779)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11775), _u11780)) | ( hAPP(c_Fun_Ocomp(_u11776, _u11776, _u11776, hAPP(_u11778, _u11780)), hAPP(_u11778, _u11779)) = hAPP(c_Fun_Ocomp(_u11776, _u11776, _u11776, hAPP(_u11778, _u11779)), hAPP(_u11778, _u11780))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11781, _u11782, _u11783, _u11784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11781), _u11785)) | ( hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11783, _u11787)), hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11784, _u11785)), _u11788)) = hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11784, _u11785)), hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11783, _u11787)), _u11788))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11789, _u11790, _u11791, _u11792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11789), _u11793)) | ( hAPP(c_Fun_Ocomp(_u11790, _u11790, _u11790, hAPP(_u11791, _u11794)), hAPP(_u11792, _u11793)) = hAPP(c_Fun_Ocomp(_u11790, _u11790, _u11790, hAPP(_u11792, _u11793)), hAPP(_u11791, _u11794))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u11795, _u11796, _u11797, _u11798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11795), _u11799)) | hBOOL(hAPP(hAPP(c_member(_u11795), _u11800), _u11799)) | ( hAPP(_u11798, hAPP(hAPP(c_Set_Oinsert(_u11795), _u11800), _u11799)) = hAPP(c_Fun_Ocomp(_u11796, _u11796, _u11796, hAPP(_u11798, _u11799)), hAPP(_u11797, _u11800))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | hBOOL(hAPP(hAPP(c_member(_u11804), skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)), _u11805)) )).
% 12.32/12.51 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | hBOOL(hAPP(hAPP(c_member(_u11804), skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)), _u11805)) )).
% 12.32/12.51 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803) != skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)) )).
% 12.32/12.51 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( hAPP(_u11806, skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)) = hAPP(_u11806, skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803))) )).
% 12.32/12.51 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( hAPP(_u11807, hAPP(_u11806, skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803))) != c_Groups_Ozero__class_Ozero(_u11803)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u11809, _u11810, _u11811, _u11812) = c_Random__Sequence_Obind(_u11809, _u11810, _u11812, hAPP(c_Fun_Ocomp(_u11810, 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(_u11810)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u11809, c_Random__Sequence_Osingle(_u11810)), _u11811))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11813), _u11814), _u11815) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11813, tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), _u11814), hAPP(hAPP(c_COMBC(_u11813, tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), _u11813), c_Set_Oinsert(tc_fun(_u11813, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_HOL_Obool), _u11813), c_Relation_OImage(_u11813, _u11813, _u11815)), hAPP(hAPP(c_COMBC(_u11813, tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_HOL_Obool)), c_Set_Oinsert(_u11813)), c_Orderings_Obot__class_Obot(tc_fun(_u11813, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11821), _u11823) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11819, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11821 = c_Orderings_Obot__class_Obot(tc_fun(_u11819, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_quotient__is__empty-2, axiom, ( ( _u11822 != c_Orderings_Obot__class_Obot(tc_fun(_u11820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11820), _u11822), _u11824) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11820, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11828, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11830), _u11832)) | ( _u11830 = c_Orderings_Obot__class_Obot(tc_fun(_u11828, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u11831 != c_Orderings_Obot__class_Obot(tc_fun(_u11829, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11829, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11829), _u11831), _u11833)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11834), c_Orderings_Obot__class_Obot(tc_fun(_u11834, tc_HOL_Obool))), _u11835) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11834, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11836), _u11837), _u11838)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11836, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11836, _u11836, _u11839), hAPP(hAPP(c_Set_Oinsert(_u11836), _u11837), c_Orderings_Obot__class_Obot(tc_fun(_u11836, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11836), _u11838), _u11839))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), hAPP(hAPP(c_Set_Oinsert(_u11840), _u11841), c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool)))), _u11842) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11840, _u11840, _u11842), hAPP(hAPP(c_Set_Oinsert(_u11840), _u11841), c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11840, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11843, _u11844, _u11845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11843, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11843, _u11843, _u11845), hAPP(hAPP(c_Set_Oinsert(_u11843), _u11846), c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11843, _u11843, _u11845), hAPP(hAPP(c_Set_Oinsert(_u11843), _u11847), c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11843), _u11846), _u11844)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11843, _u11843)), hAPP(hAPP(c_Product__Type_OPair(_u11843, _u11843), _u11847), _u11846)), _u11845)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11849, tc_HOL_Obool)), _u11850), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11849), _u11851), _u11852))) | ( _u11850 = hAPP(c_Relation_OImage(_u11849, _u11849, _u11852), hAPP(hAPP(c_Set_Oinsert(_u11849), skolem252(_u11852, _u11851, _u11850, _u11849)), c_Orderings_Obot__class_Obot(tc_fun(_u11849, tc_HOL_Obool))))) )).
% 12.32/12.51 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11849, tc_HOL_Obool)), _u11850), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11849), _u11851), _u11852))) | hBOOL(hAPP(hAPP(c_member(_u11849), skolem252(_u11852, _u11851, _u11850, _u11849)), _u11851)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11853, _u11854, _u11855) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11856), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11857), _u11854)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11857), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11856), _u11857)), _u11855)) )).
% 12.32/12.51 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11853, _u11854, _u11855) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11856), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11857), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11856), _u11857)), _u11855)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11857), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__intrel-1, axiom, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11858, _u11859, _u11860) | ~hBOOL(hAPP(hAPP(c_member(_u11858), _u11861), _u11859)) | hBOOL(hAPP(hAPP(c_member(_u11858), _u11861), hAPP(c_Relation_OImage(_u11858, _u11858, _u11860), hAPP(hAPP(c_Set_Oinsert(_u11858), _u11861), c_Orderings_Obot__class_Obot(tc_fun(_u11858, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11862, _u11863, _u11864) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11862, _u11862)), hAPP(hAPP(c_Product__Type_OPair(_u11862, _u11862), _u11865), _u11866)), _u11864)) | ( hAPP(c_Relation_OImage(_u11862, _u11862, _u11864), hAPP(hAPP(c_Set_Oinsert(_u11862), _u11865), c_Orderings_Obot__class_Obot(tc_fun(_u11862, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11862, _u11862, _u11864), hAPP(hAPP(c_Set_Oinsert(_u11862), _u11866), c_Orderings_Obot__class_Obot(tc_fun(_u11862, tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11867, _u11868, _u11869) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11867, tc_HOL_Obool)), _u11870), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11867), _u11868), _u11869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11867, tc_HOL_Obool)), _u11871), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11867), _u11868), _u11869))) | ~hBOOL(hAPP(hAPP(c_member(_u11867), _u11872), _u11870)) | ~hBOOL(hAPP(hAPP(c_member(_u11867), _u11873), _u11871)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11867, _u11867)), hAPP(hAPP(c_Product__Type_OPair(_u11867, _u11867), _u11872), _u11873)), _u11869)) | ( _u11870 = _u11871) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11877), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11879), _u11877)) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11880), _u11878)) | ( _u11877 != _u11878) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11874, _u11874)), hAPP(hAPP(c_Product__Type_OPair(_u11874, _u11874), _u11879), _u11880)), _u11876)) )).
% 12.32/12.51 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11877), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11879), _u11877)) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11880), _u11878)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11874, _u11874)), hAPP(hAPP(c_Product__Type_OPair(_u11874, _u11874), _u11879), _u11880)), _u11876)) | ( _u11877 = _u11878) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | ( hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11884), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11885), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool))))) )).
% 12.32/12.51 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11884), _u11882)) )).
% 12.32/12.51 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11885), _u11882)) )).
% 12.32/12.51 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ( hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11884), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11885), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11884), _u11882)) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11885), _u11882)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u11886, _u11886, _u11887), hAPP(hAPP(c_Set_Oinsert(_u11886), _u11888), c_Orderings_Obot__class_Obot(tc_fun(_u11886, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11886, _u11886, _u11887), hAPP(hAPP(c_Set_Oinsert(_u11886), _u11889), c_Orderings_Obot__class_Obot(tc_fun(_u11886, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11886, _u11890, _u11887) | ~hBOOL(hAPP(hAPP(c_member(_u11886), _u11889), _u11890)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11886, _u11886)), hAPP(hAPP(c_Product__Type_OPair(_u11886, _u11886), _u11888), _u11889)), _u11887)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11891, _u11892, _u11893) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11894), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11895), _u11892)) | ( hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11894), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11895), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11891, _u11891)), hAPP(hAPP(c_Product__Type_OPair(_u11891, _u11891), _u11894), _u11895)), _u11893)) )).
% 12.32/12.51 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11891, _u11892, _u11893) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11894), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11895), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11891, _u11891)), hAPP(hAPP(c_Product__Type_OPair(_u11891, _u11891), _u11894), _u11895)), _u11893)) | ( hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11894), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11895), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11896, _u11897, _u11898) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11896, _u11896)), hAPP(hAPP(c_Product__Type_OPair(_u11896, _u11896), _u11899), _u11900)), _u11898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11896, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11896, _u11896, _u11898), hAPP(hAPP(c_Set_Oinsert(_u11896), _u11899), c_Orderings_Obot__class_Obot(tc_fun(_u11896, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11896, _u11896, _u11898), hAPP(hAPP(c_Set_Oinsert(_u11896), _u11900), c_Orderings_Obot__class_Obot(tc_fun(_u11896, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11901, _u11902, _u11903) | ~c_Equiv__Relations_Ocongruent(_u11901, tc_fun(_u11904, tc_HOL_Obool), _u11903, _u11905) | ~hBOOL(hAPP(hAPP(c_member(_u11901), _u11906), _u11902)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11901, tc_fun(_u11904, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11901, _u11901, _u11903), hAPP(hAPP(c_Set_Oinsert(_u11901), _u11906), c_Orderings_Obot__class_Obot(tc_fun(_u11901, tc_HOL_Obool))))), _u11905) = hAPP(_u11905, _u11906)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11907, _u11908, _u11909) | ~c_Equiv__Relations_Oequiv(_u11910, _u11911, _u11912) | ~c_Equiv__Relations_Ocongruent2(_u11907, _u11910, tc_fun(_u11913, tc_HOL_Obool), _u11909, _u11912, _u11914) | ~hBOOL(hAPP(hAPP(c_member(_u11907), _u11915), _u11908)) | ~hBOOL(hAPP(hAPP(c_member(_u11910), _u11916), _u11911)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11907, tc_fun(_u11913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11907, _u11907, _u11909), hAPP(hAPP(c_Set_Oinsert(_u11907), _u11915), c_Orderings_Obot__class_Obot(tc_fun(_u11907, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11910, tc_fun(_u11913, tc_HOL_Obool)), tc_fun(_u11913, tc_HOL_Obool), _u11907), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11910, tc_fun(_u11913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11910, _u11910, _u11912), hAPP(hAPP(c_Set_Oinsert(_u11910), _u11916), c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool)))))), _u11914)) = hAPP(hAPP(_u11914, _u11915), _u11916)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11917, _u11918, _u11919) | ~hBOOL(hAPP(hAPP(c_member(_u11917), _u11920), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11917, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11917, _u11917, _u11919), hAPP(hAPP(c_Set_Oinsert(_u11917), _u11921), c_Orderings_Obot__class_Obot(tc_fun(_u11917, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11917, _u11917, _u11919), hAPP(hAPP(c_Set_Oinsert(_u11917), _u11922), c_Orderings_Obot__class_Obot(tc_fun(_u11917, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11917, _u11917)), hAPP(hAPP(c_Product__Type_OPair(_u11917, _u11917), _u11921), _u11922)), _u11919)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u11923, _u11924)) | ~hBOOL(hAPP(_u11925, _u11924)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11926, tc_HOL_Obool)), _u11923), _u11925), _u11924)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11927, tc_HOL_Obool)), _u11928), _u11929), _u11930)) | hBOOL(hAPP(_u11928, _u11930)) )).
% 12.32/12.51 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11927, tc_HOL_Obool)), _u11928), _u11929), _u11930)) | hBOOL(hAPP(_u11929, _u11930)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_IntI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), _u11933)) | ~hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), _u11934)) | hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11931, tc_HOL_Obool)), _u11933), _u11934))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_IntE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11935, tc_HOL_Obool)), _u11937), _u11938))) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), _u11937)) )).
% 12.32/12.51 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11935, tc_HOL_Obool)), _u11937), _u11938))) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), _u11938)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11939, tc_HOL_Obool)), _u11940), _u11941))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), _u11940)) )).
% 12.32/12.51 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11939, tc_HOL_Obool)), _u11940), _u11941))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), _u11941)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11943 = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.51 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11944 = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.51 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( _u11943 != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11944 != c_Orderings_Otop__class_Otop(_u11942)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11945) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11945), _u11946), c_Orderings_Otop__class_Otop(_u11945)) = _u11946) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11947) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11947), c_Orderings_Otop__class_Otop(_u11947)), _u11948) = _u11948) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11949, tc_HOL_Obool)), _u11950), c_Orderings_Otop__class_Otop(tc_fun(_u11949, tc_HOL_Obool))) = _u11950) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))), _u11952) = _u11952) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11957, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u11957, tc_fun(_u11957, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11957)), _u11959)), hAPP(hAPP(c_COMBC(_u11957, tc_fun(_u11957, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11957)), _u11961)), _u11963)) | hBOOL(hAPP(hAPP(c_member(_u11957), _u11963), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11957, tc_HOL_Obool)), _u11959), _u11961))) )).
% 12.32/12.51 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11958), _u11964), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11958, tc_HOL_Obool)), _u11960), _u11962))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11958, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u11958, tc_fun(_u11958, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11958)), _u11960)), hAPP(hAPP(c_COMBC(_u11958, tc_fun(_u11958, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11958)), _u11962)), _u11964)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11969, tc_HOL_Obool)), _u11973), _u11975))) | hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), _u11973)) )).
% 12.32/12.51 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11969, tc_HOL_Obool)), _u11973), _u11975))) | hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), _u11975)) )).
% 12.32/12.51 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), _u11974)) | ~hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), _u11976)) | hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11970, tc_HOL_Obool)), _u11974), _u11976))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11977), _u11978), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11977, tc_HOL_Obool)), _u11979), _u11980))) | hBOOL(hAPP(hAPP(c_member(_u11977), _u11978), _u11979)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11982), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11981, tc_HOL_Obool)), _u11983), _u11984))) | hBOOL(hAPP(hAPP(c_member(_u11981), _u11982), _u11984)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11985) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11985), _u11986), _u11987)), _u11988) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11985), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), _u11986), _u11988)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), _u11987), _u11988))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11989) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11989), _u11990), _u11991)), _u11992) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), _u11990), _u11992)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), _u11991), _u11992))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11993) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11993), _u11995), _u11996)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11993), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), _u11995)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), _u11996))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11997), _u11999), _u12000)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11997), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), _u11999)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), _u12000))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12001) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12001), _u12002), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12001), _u12002), _u12003)) = _u12002) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12004) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12004), _u12005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12004), _u12005), _u12006)) = _u12005) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12008), _u12009)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12009), _u12010))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12010), _u12008)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12008), _u12009)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12009), _u12010))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12010), _u12008))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12011, tc_HOL_Obool)), _u12012), _u12013)), _u12014) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12011, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), _u12012), _u12014)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), _u12013), _u12014))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12017)), _u12018) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12015, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12018)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), _u12017), _u12018))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12019, tc_HOL_Obool)), _u12021), _u12022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12019, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), _u12021)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), _u12022))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12023, tc_HOL_Obool)), _u12025), _u12026)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), _u12025)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), _u12026))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12027, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))), _u12028) = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12029, tc_HOL_Obool)), _u12030), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12038, tc_HOL_Obool)), _u12040), _u12042) != c_Orderings_Obot__class_Obot(tc_fun(_u12038, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12038), _u12032), _u12040)) | ~hBOOL(hAPP(hAPP(c_member(_u12038), _u12031), _u12042)) | ( _u12032 != _u12031) )).
% 12.32/12.51 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12039), skolem253(_u12043, _u12041, _u12039)), _u12041)) )).
% 12.32/12.51 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12039), skolem254(_u12043, _u12041, _u12039)), _u12043)) )).
% 12.32/12.51 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | ( skolem253(_u12043, _u12041, _u12039) = skolem254(_u12043, _u12041, _u12039)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u12044) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12044), c_Orderings_Obot__class_Obot(_u12044)), _u12045) = c_Orderings_Obot__class_Obot(_u12044)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u12046) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12046), _u12047), c_Orderings_Obot__class_Obot(_u12046)) = c_Orderings_Obot__class_Obot(_u12046)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12048, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), _u12050)), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), _u12051)) = hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12048, tc_HOL_Obool)), _u12050), _u12051))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_restrict__restrict ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_restrict__restrict-1, axiom, ( ( c_Map_Orestrict__map(_u12052, _u12053, c_Map_Orestrict__map(_u12052, _u12053, _u12054, _u12055), _u12056) = c_Map_Orestrict__map(_u12052, _u12053, _u12054, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12052, tc_HOL_Obool)), _u12055), _u12056))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12058), _u12059)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12060), _u12059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12058), _u12059)), _u12060)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063)), _u12064) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12061, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12064)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12063), _u12064))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12065, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12065, tc_HOL_Obool)), _u12066), _u12067)), _u12068) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12065, tc_HOL_Obool)), _u12066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12065, tc_HOL_Obool)), _u12067), _u12068))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12069, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), _u12071)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), _u12072))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12073) | ~c_Nat__Transfer_Onat__set(_u12074) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12073), _u12074)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u12076, _u12078)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12075, tc_HOL_Obool)), _u12076), _u12077), _u12078)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u12081, _u12082)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12079, tc_HOL_Obool)), _u12080), _u12081), _u12082)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12083, tc_HOL_Obool)), _u12084), _u12084) = _u12084) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12085, tc_HOL_Obool)), _u12086), _u12087) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12085, tc_HOL_Obool)), _u12087), _u12086)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), _u12090)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), _u12090)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12093), _u12094)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12093), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12092), _u12094))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12096), _u12097)), _u12098) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12097), _u12098))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12099) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12099), _u12100), _u12100) = _u12100) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12101) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12101), _u12102), _u12102) = _u12102) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12103) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12104), _u12105) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12105), _u12104)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u12106) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12106), _u12107), _u12108) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12106), _u12108), _u12107)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12109) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12109), _u12110), _u12111) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12109), _u12111), _u12110)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), _u12114)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), _u12114)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u12115) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), _u12117)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), _u12117)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), _u12120)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), _u12120)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12121) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), _u12124)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), _u12124))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u12125) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12127), _u12128)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12126), _u12128))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12129) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12131), _u12132)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12131), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12130), _u12132))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12133) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12134), _u12135)), _u12136) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12135), _u12136))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u12137) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12138), _u12139)), _u12140) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12138), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12139), _u12140))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12141) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12142), _u12143)), _u12144) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12142), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12143), _u12144))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u12145) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12146, _u12145)), _u12147), _u12148), _u12149) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12145), hAPP(_u12147, _u12149)), hAPP(_u12148, _u12149))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u12150) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12151, _u12150)), _u12152), _u12153), _u12154) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12150), hAPP(_u12152, _u12154)), hAPP(_u12153, _u12154))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12155) | ~class_Orderings_Olinorder(_u12155) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u12155) = c_Orderings_Oord__class_Omin(_u12155)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u12156) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12156), _u12157), _u12157) = _u12157) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12158), _u12159), _u12160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12158), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12158), _u12161), _u12159)), _u12160)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12162), _u12163), _u12164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12162), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12162), _u12163), _u12165)), _u12164)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12166), _u12168), _u12169))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), _u12168)) )).
% 12.32/12.51 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12166), _u12168), _u12169))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), _u12169)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), _u12171), _u12172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), _u12173), _u12174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12170), _u12171), _u12173)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12170), _u12172), _u12174))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), _u12177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), _u12178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12175), _u12177), _u12178))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), _u12181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), _u12182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12179), _u12181), _u12182))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12183), _u12184), _u12185)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12183), _u12185), _u12184) = _u12184) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12186), _u12187), _u12188)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), _u12187), _u12188) = _u12187) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12189), _u12190), _u12191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12189), _u12192), _u12190)), _u12191)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12193), _u12194), _u12195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12193), _u12194), _u12196)), _u12195)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12199)) )).
% 12.32/12.51 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12200)) )).
% 12.32/12.51 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12201), _u12202), _u12203)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12201), _u12202), _u12203) = _u12202) )).
% 12.32/12.51 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12201) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12201), _u12202), _u12203) != _u12202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12201), _u12202), _u12203)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12204), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12204), _u12205), _u12206)), _u12206)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u12207) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12207), _u12208), _u12209)), _u12209)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12210), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12210), _u12211), _u12212)), _u12211)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u12213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12213), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12213), _u12214), _u12215)), _u12214)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12216, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12216, tc_HOL_Obool)), _u12217), _u12218)), _u12217)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12219, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12219, tc_HOL_Obool)), _u12220), _u12221)), _u12221)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12222, tc_HOL_Obool)), _u12223), _u12224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12222, tc_HOL_Obool)), _u12223), _u12224) = _u12223) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12225, tc_HOL_Obool)), _u12226), _u12227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12225, tc_HOL_Obool)), _u12227), _u12226) = _u12226) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), _u12230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), _u12231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12228, tc_HOL_Obool)), _u12230), _u12231))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), _u12233), _u12234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), _u12235), _u12236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12232, tc_HOL_Obool)), _u12233), _u12235)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12232, tc_HOL_Obool)), _u12234), _u12236))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u12237), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12237, tc_HOL_Obool)), _u12238), _u12239)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u12237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12237), _u12238)), hAPP(c_Set_OPow(_u12237), _u12239))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12240, tc_fun(_u12241, tc_HOL_Obool)), _u12242), hAPP(hAPP(c_COMBB(tc_fun(_u12241, tc_HOL_Obool), tc_fun(_u12241, tc_HOL_Obool), _u12240), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12241, tc_HOL_Obool)), _u12243)), _u12244)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12241, tc_HOL_Obool)), _u12243), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12240, tc_fun(_u12241, tc_HOL_Obool)), _u12242), _u12244))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12245, tc_fun(_u12246, tc_HOL_Obool)), _u12247), hAPP(hAPP(c_COMBC(_u12245, tc_fun(_u12246, tc_HOL_Obool), tc_fun(_u12246, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12246, tc_HOL_Obool), tc_fun(tc_fun(_u12246, tc_HOL_Obool), tc_fun(_u12246, tc_HOL_Obool)), _u12245), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12246, tc_HOL_Obool))), _u12248)), _u12249)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12246, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12245, tc_fun(_u12246, tc_HOL_Obool)), _u12247), _u12248)), _u12249)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12252, tc_fun(_u12250, tc_HOL_Obool)), _u12253), _u12254)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12252, tc_fun(_u12250, tc_HOL_Obool)), _u12253), hAPP(hAPP(c_COMBB(tc_fun(_u12250, tc_HOL_Obool), tc_fun(_u12250, tc_HOL_Obool), _u12252), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12250, tc_HOL_Obool)), _u12251)), _u12254))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12255, tc_HOL_Obool)), _u12256), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12257, tc_fun(_u12255, tc_HOL_Obool)), _u12258), _u12259)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12257, tc_fun(_u12255, tc_HOL_Obool)), _u12258), hAPP(hAPP(c_COMBB(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool), _u12257), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12255, tc_HOL_Obool)), _u12256)), _u12259))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12261, tc_fun(_u12260, tc_HOL_Obool)), _u12262), _u12263)), _u12264) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12261, tc_fun(_u12260, tc_HOL_Obool)), _u12262), hAPP(hAPP(c_COMBC(_u12261, tc_fun(_u12260, tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_HOL_Obool), tc_fun(tc_fun(_u12260, tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), _u12261), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12260, tc_HOL_Obool))), _u12263)), _u12264))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12266, tc_fun(_u12265, tc_HOL_Obool)), _u12267), _u12268)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12269, tc_fun(_u12265, tc_HOL_Obool)), _u12270), _u12271)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12266, tc_fun(_u12265, tc_HOL_Obool)), _u12267), hAPP(hAPP(c_COMBB(tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12265, tc_HOL_Obool), _u12266), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12269, tc_fun(_u12265, tc_HOL_Obool)), _u12270)), hAPP(hAPP(c_COMBC(_u12266, tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool)), tc_fun(tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool))), _u12266), c_COMBB(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool), _u12269)), hAPP(hAPP(c_COMBB(tc_fun(_u12265, tc_HOL_Obool), tc_fun(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool)), _u12266), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool))), _u12268))), _u12271)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u12272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12272), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12272), _u12274), _u12275))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12272), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), _u12274)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), _u12275)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u12276) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12276), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), _u12278)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), _u12279))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12276), _u12278), _u12279)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12280) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12280), _u12281), hAPP(c_Groups_Ouminus__class_Ouminus(_u12280), _u12281)) = c_Orderings_Obot__class_Obot(_u12280)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12282) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12282), hAPP(c_Groups_Ouminus__class_Ouminus(_u12282), _u12283)), _u12283) = c_Orderings_Obot__class_Obot(_u12282)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12284) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12284), _u12285), _u12286) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12284), _u12285), hAPP(c_Groups_Ouminus__class_Ouminus(_u12284), _u12286))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12287) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12287), _u12288), _u12289)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12287), hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), _u12288)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), _u12289))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12290) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12290), _u12291), _u12292)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12290), hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), _u12291)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), _u12292))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12294), _u12295)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12293), _u12294), _u12296)), _u12295) = hAPP(hAPP(c_Set_Oinsert(_u12293), _u12294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, tc_HOL_Obool)), _u12296), _u12295))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12297), _u12298), _u12299)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool)), _u12299), hAPP(hAPP(c_Set_Oinsert(_u12297), _u12298), _u12300)) = hAPP(hAPP(c_Set_Oinsert(_u12297), _u12298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool)), _u12299), _u12300))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12301), _u12302), _u12303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12301, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12301), _u12302), _u12304)), _u12303) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12301, tc_HOL_Obool)), _u12304), _u12303)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12305), _u12306), _u12307)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12305, tc_HOL_Obool)), _u12307), hAPP(hAPP(c_Set_Oinsert(_u12305), _u12306), _u12308)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12305, tc_HOL_Obool)), _u12307), _u12308)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12313), _u12315), _u12317)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12313, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12313), _u12315), _u12319)), _u12317) = hAPP(hAPP(c_Set_Oinsert(_u12313), _u12315), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12313, tc_HOL_Obool)), _u12319), _u12317))) )).
% 12.32/12.51 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12314), _u12316), _u12318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12314), _u12316), _u12320)), _u12318) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), _u12320), _u12318)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12325), _u12327), _u12329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12325, tc_HOL_Obool)), _u12329), hAPP(hAPP(c_Set_Oinsert(_u12325), _u12327), _u12331)) = hAPP(hAPP(c_Set_Oinsert(_u12325), _u12327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12325, tc_HOL_Obool)), _u12329), _u12331))) )).
% 12.32/12.51 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12326), _u12328), _u12330)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12326, tc_HOL_Obool)), _u12330), hAPP(hAPP(c_Set_Oinsert(_u12326), _u12328), _u12332)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12326, tc_HOL_Obool)), _u12330), _u12332)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12333, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12334, tc_HOL_Obool)), _u12336), _u12337))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12333, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), _u12336)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), _u12337)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12338, tc_HOL_Obool)), _u12339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12338, tc_HOL_Obool)), _u12340), _u12339)) = c_Orderings_Obot__class_Obot(tc_fun(_u12338, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12341, tc_HOL_Obool)), _u12342), _u12343) != c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12341, tc_HOL_Obool)), _u12342), _u12343) = _u12342) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12348, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12348, tc_HOL_Obool)), _u12350), _u12352)), _u12354) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12348, tc_HOL_Obool)), _u12350), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12348, tc_HOL_Obool)), _u12352), _u12354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12348, tc_HOL_Obool)), _u12354), _u12350)) )).
% 12.32/12.51 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12349, tc_HOL_Obool)), _u12355), _u12351)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12349, tc_HOL_Obool)), _u12351), _u12353)), _u12355) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12349, tc_HOL_Obool)), _u12351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12349, tc_HOL_Obool)), _u12353), _u12355))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12356, tc_HOL_Obool)), _u12358), _u12359)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12356, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), _u12358)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), _u12359))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12360, tc_HOL_Obool)), _u12362), _u12363)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12360, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), _u12362)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), _u12363))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12364, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12364, tc_HOL_Obool)), _u12365), _u12366)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12364, tc_HOL_Obool)), _u12365), _u12366)) = _u12365) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u12367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12367, _u12368), _u12369)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12367, _u12369), _u12370)) = c_Orderings_Obot__class_Obot(tc_fun(_u12367, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 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)), _u12371), _u12372) = 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)), _u12371)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12372)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12373, tc_HOL_Obool)), _u12374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12373, tc_HOL_Obool)), _u12374)) = c_Orderings_Obot__class_Obot(tc_fun(_u12373, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12375, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12375, tc_HOL_Obool)), _u12376)), _u12376) = c_Orderings_Obot__class_Obot(tc_fun(_u12375, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12378, tc_HOL_Obool)), _u12380), _u12381))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), _u12380)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), _u12381)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), _u12383)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), _u12384))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12385, tc_HOL_Obool)), _u12386), _u12387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12385, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), _u12386)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), _u12387))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12388, tc_HOL_Obool)), _u12389), _u12390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12388, tc_HOL_Obool)), _u12390))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12391, tc_HOL_Obool)), _u12392), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12391, tc_HOL_Obool)), _u12393)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12391, tc_HOL_Obool)), _u12392), _u12393)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u12394) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12394, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12394, _u12395, _u12396)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12394, _u12396, _u12397)) = c_Orderings_Obot__class_Obot(tc_fun(_u12394, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u12398, _u12398, c_Relation_OId__on(_u12398, _u12399)), _u12400) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool)), _u12399), _u12400)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12401) | ~c_Nat__Transfer_Onat__set(_u12402) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12401), _u12402) = 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), _u12401)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12402)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12403, _u12404, _u12405) | ~c_Equiv__Relations_Ocongruent2(_u12403, _u12406, _u12407, _u12405, _u12408, _u12409) | ~hBOOL(hAPP(hAPP(c_member(_u12403), _u12410), _u12404)) | c_Equiv__Relations_Ocongruent(_u12406, _u12407, _u12408, hAPP(_u12409, _u12410)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_member(_u12411), _u12413), _u12412)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12411), _u12413), c_Big__Operators_Olattice__class_OSup__fin(_u12411, _u12412)) = _u12413) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12421) != c_Orderings_Obot__class_Obot(tc_fun(_u12417, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12417, tc_HOL_Obool)), _u12421))) )).
% 12.32/12.51 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12418, tc_HOL_Obool)), _u12420), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12418, tc_HOL_Obool)), _u12422))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12418, tc_HOL_Obool)), _u12420), _u12422) = c_Orderings_Obot__class_Obot(tc_fun(_u12418, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u12423) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12423, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12423, _u12424), _u12425)), c_SetInterval_Oord__class_OatLeastAtMost(_u12423, _u12425, _u12426)) = c_Orderings_Obot__class_Obot(tc_fun(_u12423, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u12427) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12427, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12427, _u12428, _u12429)), c_SetInterval_Oord__class_OatLeastAtMost(_u12427, _u12430, _u12431)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12427, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12427), _u12428), _u12430), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12427), _u12429), _u12431))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12432) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12432, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, _u12433), _u12434)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, _u12435), _u12436)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12432), _u12433), _u12435)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12432), _u12434), _u12436))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u12437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12437, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12437), _u12438)), c_SetInterval_Oord__class_OatLeastAtMost(_u12437, _u12438, _u12439)) = c_Orderings_Obot__class_Obot(tc_fun(_u12437, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u12440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12440, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12440), _u12441)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12440, _u12441), _u12442)) = c_Orderings_Obot__class_Obot(tc_fun(_u12440, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u12443) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12443, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12443, _u12444, _u12445)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12443, _u12445, _u12446)) = c_Orderings_Obot__class_Obot(tc_fun(_u12443, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u12447) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12447, _u12448, _u12449)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12447, _u12449, _u12450)) = c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u12451) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12451, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12451, _u12452, _u12453)), c_SetInterval_Oord__class_OatLeastAtMost(_u12451, _u12453, _u12454)) = c_Orderings_Obot__class_Obot(tc_fun(_u12451, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u12455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, _u12456, _u12457)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, _u12458, _u12459)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12455), _u12456), _u12458), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12455), _u12457), _u12459))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u12460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12460, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12460, _u12461, _u12462)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12460, _u12462), _u12463)) = c_Orderings_Obot__class_Obot(tc_fun(_u12460, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12464, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, _u12465, _u12466)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, _u12467, _u12468)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12464), _u12465), _u12467), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12464), _u12466), _u12468))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u12469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12469, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12469, _u12470, _u12471)), hAPP(c_SetInterval_Oord__class_OatMost(_u12469), _u12472)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12469, _u12470, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12469), _u12471), _u12472))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u12473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12473, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12473), _u12474)), c_SetInterval_Oord__class_OatLeastAtMost(_u12473, _u12475, _u12476)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12473, _u12475, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12473), _u12474), _u12476))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u12477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12477, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12477, _u12478), _u12479)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12477), _u12479)) = c_Orderings_Obot__class_Obot(tc_fun(_u12477, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u12480) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12480, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12480, _u12481, _u12482)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12480), _u12482)) = c_Orderings_Obot__class_Obot(tc_fun(_u12480, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u12483) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12483, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12483, _u12484, _u12485)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12483), _u12486)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12483, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12483), _u12484), _u12486), _u12485)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u12487) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12487), _u12488)), c_SetInterval_Oord__class_OatLeastAtMost(_u12487, _u12489, _u12490)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12487, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12487), _u12488), _u12489), _u12490)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u12491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12491), _u12492)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12491, _u12492, _u12493)) = c_Orderings_Obot__class_Obot(tc_fun(_u12491, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u12494) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12494, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12494, _u12495, _u12496)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12494, _u12496, _u12497)) = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u12498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12498, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12498), _u12499)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12498, _u12499, _u12500)) = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u12501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12501, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12501, _u12502, _u12503)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12501), _u12503)) = c_Orderings_Obot__class_Obot(tc_fun(_u12501, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u12504) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12504, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12504, _u12505, _u12506)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12504), _u12506)) = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12508), _u12513)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12508), _u12514)) | ( hAPP(hAPP(_u12509, hAPP(_u12512, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12508, tc_HOL_Obool)), _u12513), _u12514))), hAPP(_u12512, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12508, tc_HOL_Obool)), _u12513), _u12514))) = hAPP(hAPP(_u12509, hAPP(_u12512, _u12513)), hAPP(_u12512, _u12514))) | ~c_Finite__Set_Ofolding__image__simple(_u12507, _u12508, _u12509, _u12510, _u12511, _u12512) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12515) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12515), _u12516), _u12517) != c_Orderings_Obot__class_Obot(_u12515)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12515), _u12516), _u12517) != c_Orderings_Otop__class_Otop(_u12515)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12515), _u12516) = _u12517) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), _u12520)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), _u12521)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12518), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12519, tc_HOL_Obool)), _u12520), _u12521))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12519, tc_HOL_Obool)), _u12520), _u12521))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12518), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), _u12520)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), _u12521))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12524), _u12525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12524), _u12526)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12524, tc_HOL_Obool)), _u12525), _u12526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12524, tc_HOL_Obool)), _u12525), _u12526))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), _u12525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), _u12526))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12528) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12529), _u12530)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12529), _u12531)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12528), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12528), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), _u12530)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), _u12531))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12533), _u12534)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12533), _u12535)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12533), _u12534)), hAPP(c_Finite__Set_Ocard(_u12533), _u12535)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12533), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12533, tc_HOL_Obool)), _u12534), _u12535))), hAPP(c_Finite__Set_Ocard(_u12533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12533, tc_HOL_Obool)), _u12534), _u12535)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12538)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12536), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538))), hAPP(c_Finite__Set_Ocard(_u12536), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12536), _u12537)), hAPP(c_Finite__Set_Ocard(_u12536), _u12538))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541))) | ( hAPP(c_Finite__Set_Ocard(_u12539), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12539), _u12540)), hAPP(c_Finite__Set_Ocard(_u12539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12542) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), _u12544)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), _u12545), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12543, tc_HOL_Obool)), _u12544), _u12546)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), hAPP(hAPP(c_COMBC(_u12543, _u12542, _u12542), hAPP(hAPP(c_COMBS(_u12543, _u12542, tc_fun(_u12542, _u12542)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12542, tc_fun(_u12542, _u12542)), _u12543), c_If(_u12542)), hAPP(hAPP(c_COMBC(_u12543, tc_fun(_u12543, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12543)), _u12546))), _u12545)), c_Groups_Ozero__class_Ozero(_u12542))), _u12544)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u12547, _u12548, _u12549, _u12550) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12551)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12552)) | ( hAPP(c_Fun_Ocomp(_u12548, _u12548, _u12548, hAPP(_u12550, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12547, tc_HOL_Obool)), _u12551), _u12552))), hAPP(_u12550, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12547, tc_HOL_Obool)), _u12551), _u12552))) = hAPP(c_Fun_Ocomp(_u12548, _u12548, _u12548, hAPP(_u12550, _u12551)), hAPP(_u12550, _u12552))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12553, _u12554, _u12555) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12553, tc_HOL_Obool)), _u12556), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12553), _u12554), _u12555))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12553, tc_HOL_Obool)), _u12557), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12553), _u12554), _u12555))) | ( _u12556 = _u12557) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12553, tc_HOL_Obool)), _u12556), _u12557) = c_Orderings_Obot__class_Obot(tc_fun(_u12553, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u12558) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12558, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12558), _u12559)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12558), _u12559)) = hAPP(hAPP(c_Set_Oinsert(_u12558), _u12559), c_Orderings_Obot__class_Obot(tc_fun(_u12558, tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), _u12566)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), _u12567)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12561, tc_HOL_Obool)), _u12566), _u12567) != c_Orderings_Obot__class_Obot(tc_fun(_u12561, tc_HOL_Obool))) | ( hAPP(_u12565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12561, tc_HOL_Obool)), _u12566), _u12567)) = hAPP(hAPP(_u12562, hAPP(_u12565, _u12566)), hAPP(_u12565, _u12567))) | ~c_Finite__Set_Ofolding__image__simple(_u12560, _u12561, _u12562, _u12563, _u12564, _u12565) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u12568, _u12569, _u12570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12571)) | ( _u12571 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ( _u12572 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12568, tc_HOL_Obool)), _u12571), _u12572) != c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ( hAPP(_u12570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12568, tc_HOL_Obool)), _u12571), _u12572)) = hAPP(hAPP(_u12569, hAPP(_u12570, _u12571)), hAPP(_u12570, _u12572))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u12573, _u12574, _u12575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12573), _u12576)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12573), _u12577)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577) = c_Orderings_Obot__class_Obot(tc_fun(_u12573, tc_HOL_Obool))) | ( hAPP(hAPP(_u12574, hAPP(_u12575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577))), hAPP(_u12575, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577))) = hAPP(hAPP(_u12574, hAPP(_u12575, _u12576)), hAPP(_u12575, _u12577))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u12584, _u12586, _u12588, _u12590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12584, _u12584)), _u12578), _u12588)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12584, _u12584, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12584, tc_fun(_u12584, _u12586), tc_fun(_u12584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_HOL_Obool), tc_fun(tc_fun(_u12584, _u12586), tc_fun(_u12584, tc_HOL_Obool)), _u12584), c_COMBB(_u12586, tc_HOL_Obool, _u12584)), hAPP(hAPP(c_COMBB(_u12586, tc_fun(_u12586, tc_HOL_Obool), _u12584), c_fequal), _u12590))), _u12590)), _u12578)) )).
% 12.32/12.51 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u12585, _u12587, _u12589, _u12591) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12585, _u12585)), skolem255(_u12591, _u12589, _u12587, _u12585)), _u12589)) )).
% 12.32/12.51 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u12585, _u12587, _u12589, _u12591) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12585, _u12585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12585, tc_fun(_u12585, _u12587), tc_fun(_u12585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_HOL_Obool), tc_fun(tc_fun(_u12585, _u12587), tc_fun(_u12585, tc_HOL_Obool)), _u12585), c_COMBB(_u12587, tc_HOL_Obool, _u12585)), hAPP(hAPP(c_COMBB(_u12587, tc_fun(_u12587, tc_HOL_Obool), _u12585), c_fequal), _u12591))), _u12591)), skolem255(_u12591, _u12589, _u12587, _u12585))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12593), _u12594)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12593), _u12595)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12593, tc_HOL_Obool)), _u12594), _u12595) != c_Orderings_Obot__class_Obot(tc_fun(_u12593, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12593, tc_HOL_Obool)), _u12594), _u12595)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12592), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), _u12594)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), _u12595))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u12597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12598), _u12599)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12598), _u12600)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12598, tc_HOL_Obool)), _u12599), _u12600)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12597), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), _u12599)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), _u12600))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12598, tc_HOL_Obool)), _u12599), _u12600)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12605)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12603, tc_HOL_Obool)), _u12604), _u12605) != c_Orderings_Obot__class_Obot(tc_fun(_u12603, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12603, tc_HOL_Obool)), _u12604), _u12605)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12602), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), _u12604)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), _u12605))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12608), _u12609)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12608), _u12610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12608, tc_HOL_Obool)), _u12609), _u12610) != c_Orderings_Obot__class_Obot(tc_fun(_u12608, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12608, tc_HOL_Obool)), _u12609), _u12610)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), _u12609)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), _u12610))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12613)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12614)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12612, tc_HOL_Obool)), _u12613), _u12614) != c_Orderings_Obot__class_Obot(tc_fun(_u12612, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u12612), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12612, tc_HOL_Obool)), _u12613), _u12614)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12612), _u12613)), hAPP(c_Finite__Set_Ocard(_u12612), _u12614))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u12615) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12615), _u12616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12615), _u12617)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617) = c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12615), c_Big__Operators_Olattice__class_OSup__fin(_u12615, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617))), c_Big__Operators_Olattice__class_OSup__fin(_u12615, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12615), c_Big__Operators_Olattice__class_OSup__fin(_u12615, _u12616)), c_Big__Operators_Olattice__class_OSup__fin(_u12615, _u12617))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u12618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), _u12619)) | ( _u12619 = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), _u12620)) | ( _u12620 = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12618, tc_HOL_Obool)), _u12619), _u12620) != c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12618, tc_HOL_Obool)), _u12619), _u12620)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12618), c_Big__Operators_Olattice__class_OSup__fin(_u12618, _u12619)), c_Big__Operators_Olattice__class_OSup__fin(_u12618, _u12620))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12621), _u12622)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12621), _u12623)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623) = c_Orderings_Obot__class_Obot(tc_fun(_u12621, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12621), c_Big__Operators_Olinorder__class_OMin(_u12621, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623))), c_Big__Operators_Olinorder__class_OMin(_u12621, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12621), c_Big__Operators_Olinorder__class_OMin(_u12621, _u12622)), c_Big__Operators_Olinorder__class_OMin(_u12621, _u12623))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12624) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), _u12625)) | ( _u12625 = c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), _u12626)) | ( _u12626 = c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12624, tc_HOL_Obool)), _u12625), _u12626) != c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u12624, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12624, tc_HOL_Obool)), _u12625), _u12626)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12624), c_Big__Operators_Olinorder__class_OMin(_u12624, _u12625)), c_Big__Operators_Olinorder__class_OMin(_u12624, _u12626))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12627) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12628)) | ( _u12628 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12629)) | ( _u12629 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12627, tc_HOL_Obool)), _u12628), _u12629) != c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u12627, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12627, tc_HOL_Obool)), _u12628), _u12629)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), c_Big__Operators_Olinorder__class_OMax(_u12627, _u12628)), c_Big__Operators_Olinorder__class_OMax(_u12627, _u12629))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12630), _u12631)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12630), _u12632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632) = c_Orderings_Obot__class_Obot(tc_fun(_u12630, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12630), c_Big__Operators_Olinorder__class_OMax(_u12630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632))), c_Big__Operators_Olinorder__class_OMax(_u12630, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12630), c_Big__Operators_Olinorder__class_OMax(_u12630, _u12631)), c_Big__Operators_Olinorder__class_OMax(_u12630, _u12632))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12633) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12633), _u12634)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12633), _u12635)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635) = c_Orderings_Obot__class_Obot(tc_fun(_u12633, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12633), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635))), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12633), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), _u12634)), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), _u12635))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12636) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12636), _u12637)) | ( _u12637 = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12636), _u12638)) | ( _u12638 = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12636, tc_HOL_Obool)), _u12637), _u12638) != c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12636, tc_HOL_Obool)), _u12637), _u12638)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12636), c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), _u12637)), c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), _u12638))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12639), _u12640)) | ( _u12640 = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12639), _u12641)) | ( _u12641 = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12639, tc_HOL_Obool)), _u12640), _u12641) != c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12639, tc_HOL_Obool)), _u12640), _u12641)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12639), c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), _u12640)), c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), _u12641))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12642) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), _u12643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), _u12644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644) = c_Orderings_Obot__class_Obot(tc_fun(_u12642, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12642), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644))), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12642), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), _u12643)), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), _u12644))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u12645, _u12646, _u12647, _u12648, _u12649, _u12650) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12645, _u12645)), hAPP(hAPP(c_Product__Type_OPair(_u12645, _u12645), _u12651), _u12652)), _u12648)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12646, _u12646)), hAPP(hAPP(c_Product__Type_OPair(_u12646, _u12646), _u12653), _u12654)), _u12649)) | ( hAPP(hAPP(_u12650, _u12651), _u12653) = hAPP(hAPP(_u12650, _u12652), _u12654)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12656)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12657)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12655, tc_HOL_Obool)), _u12656), _u12657)) = 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(_u12655, tc_Nat_Onat), _u12658), _u12656)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), _u12657))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12655, tc_HOL_Obool)), _u12656), _u12657)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u12659, _u12660, _u12661, _u12662) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12663)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12664)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12659, tc_HOL_Obool)), _u12663), _u12664) != c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | ( hAPP(_u12662, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12659, tc_HOL_Obool)), _u12663), _u12664)) = hAPP(c_Fun_Ocomp(_u12660, _u12660, _u12660, hAPP(_u12662, _u12663)), hAPP(_u12662, _u12664))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u12665, _u12666, _u12667, _u12668) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12665, _u12665)), hAPP(hAPP(c_Product__Type_OPair(_u12665, _u12665), _u12669), _u12670)), _u12667)) | ( hAPP(_u12668, _u12669) = hAPP(_u12668, _u12670)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12671, _u12672, _u12673) | ~c_Equiv__Relations_Oequiv(_u12674, _u12675, _u12676) | ~c_Equiv__Relations_Ocongruent2(_u12671, _u12674, tc_fun(_u12677, tc_HOL_Obool), _u12673, _u12676, _u12678) | ~hBOOL(hAPP(hAPP(c_member(_u12674), _u12679), _u12675)) | c_Equiv__Relations_Ocongruent(_u12671, tc_fun(_u12677, tc_HOL_Obool), _u12673, hAPP(hAPP(c_COMBB(tc_fun(_u12674, tc_fun(_u12677, tc_HOL_Obool)), tc_fun(_u12677, tc_HOL_Obool), _u12671), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12674, tc_fun(_u12677, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12674, _u12674, _u12676), hAPP(hAPP(c_Set_Oinsert(_u12674), _u12679), c_Orderings_Obot__class_Obot(tc_fun(_u12674, tc_HOL_Obool)))))), _u12678)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), _u12683)) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), _u12683)) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | ( hAPP(_u12686, skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)) = hAPP(_u12686, skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682))) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12682, _u12682)), hAPP(hAPP(c_Product__Type_OPair(_u12682, _u12682), skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682))), _u12684)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | hBOOL(hAPP(hAPP(c_member(_u12691), skolem258(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), _u12692)) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | hBOOL(hAPP(hAPP(c_member(_u12694), skolem259(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), _u12695)) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(_u12698, skolem258(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), skolem259(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691))), _u12701)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12703, _u12704, _u12705) | ~c_Equiv__Relations_Ocongruent(_u12703, tc_fun(_u12706, tc_HOL_Obool), _u12705, _u12707) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12703, tc_HOL_Obool)), _u12708), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12703), _u12704), _u12705))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12703, tc_fun(_u12706, tc_HOL_Obool)), _u12708), _u12707)), _u12709)) | hBOOL(hAPP(hAPP(c_member(_u12703), skolem260(_u12709, _u12708, _u12707, _u12706, _u12705, _u12704, _u12703)), _u12704)) )).
% 12.32/12.51 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12703, _u12704, _u12705) | ~c_Equiv__Relations_Ocongruent(_u12703, tc_fun(_u12706, tc_HOL_Obool), _u12705, _u12707) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12703, tc_HOL_Obool)), _u12708), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12703), _u12704), _u12705))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12703, tc_fun(_u12706, tc_HOL_Obool)), _u12708), _u12707)), _u12709)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(_u12707, skolem260(_u12709, _u12708, _u12707, _u12706, _u12705, _u12704, _u12703))), _u12709)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12716, tc_fun(_u12718, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12716, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), _u12716), c_COMBC(_u12718, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_prod(_u12716, _u12718)), tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), _u12716), hAPP(c_COMBB(tc_prod(_u12716, _u12718), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool), _u12718), c_member(tc_prod(_u12716, _u12718)))), c_Product__Type_OPair(_u12716, _u12718)))), _u12720)), hAPP(hAPP(c_COMBC(_u12716, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), _u12716), c_COMBC(_u12718, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_prod(_u12716, _u12718)), tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), _u12716), hAPP(c_COMBB(tc_prod(_u12716, _u12718), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool), _u12718), c_member(tc_prod(_u12716, _u12718)))), c_Product__Type_OPair(_u12716, _u12718)))), _u12722)), _u12724), _u12726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12716, _u12718)), hAPP(hAPP(c_Product__Type_OPair(_u12716, _u12718), _u12724), _u12726)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool)), _u12720), _u12722))) )).
% 12.32/12.51 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12717, _u12719)), hAPP(hAPP(c_Product__Type_OPair(_u12717, _u12719), _u12725), _u12727)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool)), _u12721), _u12723))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12717, tc_fun(_u12719, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12717, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), _u12717), c_COMBC(_u12719, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_prod(_u12717, _u12719)), tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), _u12717), hAPP(c_COMBB(tc_prod(_u12717, _u12719), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool), _u12719), c_member(tc_prod(_u12717, _u12719)))), c_Product__Type_OPair(_u12717, _u12719)))), _u12721)), hAPP(hAPP(c_COMBC(_u12717, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), _u12717), c_COMBC(_u12719, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_prod(_u12717, _u12719)), tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), _u12717), hAPP(c_COMBB(tc_prod(_u12717, _u12719), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool), _u12719), c_member(tc_prod(_u12717, _u12719)))), c_Product__Type_OPair(_u12717, _u12719)))), _u12723)), _u12725), _u12727)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12730)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12731)) | ( hAPP(c_Finite__Set_Ocard(_u12729), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12729), _u12730)), hAPP(c_Finite__Set_Ocard(_u12729), _u12731))) | hBOOL(hAPP(hAPP(c_member(_u12729), skolem261(_u12731, _u12730, _u12729)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731))) )).
% 12.32/12.51 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12730)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12731)) | ( hAPP(c_Finite__Set_Ocard(_u12729), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12729), _u12730)), hAPP(c_Finite__Set_Ocard(_u12729), _u12731))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12736)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12736))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)))) | hBOOL(hAPP(hAPP(c_member(_u12734), skolem262(_u12737, _u12736, _u12735, _u12734, _u12733)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736))) )).
% 12.32/12.51 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12736)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12736))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)))) | ( hAPP(_u12737, skolem262(_u12737, _u12736, _u12735, _u12734, _u12733)) = c_Groups_Ozero__class_Ozero(_u12733)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Integ__def-1, axiom, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12738, _u12739), _u12740)) | ~hBOOL(hAPP(hAPP(_u12741, _u12739), _u12740)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12742, tc_fun(_u12743, tc_HOL_Obool))), _u12738), _u12741), _u12739), _u12740)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12744, tc_fun(_u12745, tc_HOL_Obool))), _u12746), _u12747), _u12748), _u12749)) | hBOOL(hAPP(hAPP(_u12746, _u12748), _u12749)) )).
% 12.32/12.51 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12744, tc_fun(_u12745, tc_HOL_Obool))), _u12746), _u12747), _u12748), _u12749)) | hBOOL(hAPP(hAPP(_u12747, _u12748), _u12749)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u12752, _u12754), _u12755)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12750, tc_fun(_u12751, tc_HOL_Obool))), _u12752), _u12753), _u12754), _u12755)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u12759, _u12760), _u12761)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12756, tc_fun(_u12757, tc_HOL_Obool))), _u12758), _u12759), _u12760), _u12761)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 12.32/12.51 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, _u12762)), c_Int_OInteg)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12766)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12764), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12766)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12767))) | hBOOL(hAPP(hAPP(c_member(_u12765), skolem263(_u12768, _u12767, _u12766, _u12765, _u12764)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767))) )).
% 12.32/12.51 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12766)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12764), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12766)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12767))) | ( hAPP(_u12768, skolem263(_u12768, _u12767, _u12766, _u12765, _u12764)) != c_Groups_Oone__class_Oone(_u12764)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12772)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12770), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12773))) | hBOOL(hAPP(hAPP(c_member(_u12771), skolem264(_u12774, _u12773, _u12772, _u12771, _u12770)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773))) )).
% 12.32/12.51 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12772)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12770), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12773))) | ( hAPP(_u12774, skolem264(_u12774, _u12773, _u12772, _u12771, _u12770)) != c_Groups_Oone__class_Oone(_u12770)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12776), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12778)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12779))) | hBOOL(hAPP(hAPP(c_member(_u12777), skolem265(_u12780, _u12779, _u12778, _u12777, _u12776)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779))) )).
% 12.32/12.51 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12776), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12778)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12779))) | ( hAPP(_u12780, skolem265(_u12780, _u12779, _u12778, _u12777, _u12776)) != c_Groups_Ozero__class_Ozero(_u12776)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12785)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12784)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12785))) | hBOOL(hAPP(hAPP(c_member(_u12783), skolem266(_u12786, _u12785, _u12784, _u12783, _u12782)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785))) )).
% 12.32/12.51 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12785)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12784)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12785))) | ( hAPP(_u12786, skolem266(_u12786, _u12785, _u12784, _u12783, _u12782)) != c_Groups_Ozero__class_Ozero(_u12782)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u12794, _u12796, _u12798) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12794, _u12794)), _u12787), _u12798)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12794, _u12794, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_fun(_u12794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12794, tc_HOL_Obool), tc_fun(_u12794, tc_HOL_Obool)), _u12794), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12794)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12794), c_fconj), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12794)), _u12796)))), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12794)), _u12796))), _u12787)) )).
% 12.32/12.51 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u12794, _u12796, _u12798) | ~hBOOL(hAPP(hAPP(c_member(_u12794), _u12788), _u12796)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12794, _u12794)), hAPP(hAPP(c_Product__Type_OPair(_u12794, _u12794), _u12788), _u12788)), _u12798)) )).
% 12.32/12.51 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), skolem267(_u12799, _u12797, _u12795)), _u12799)) | hBOOL(hAPP(hAPP(c_member(_u12795), skolem268(_u12799, _u12797, _u12795)), _u12797)) )).
% 12.32/12.51 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), skolem267(_u12799, _u12797, _u12795)), _u12799)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12795, _u12795), skolem268(_u12799, _u12797, _u12795)), skolem268(_u12799, _u12797, _u12795))), _u12799)) )).
% 12.32/12.51 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797)))), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797))), skolem267(_u12799, _u12797, _u12795))) | hBOOL(hAPP(hAPP(c_member(_u12795), skolem268(_u12799, _u12797, _u12795)), _u12797)) )).
% 12.32/12.51 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797)))), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797))), skolem267(_u12799, _u12797, _u12795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12795, _u12795), skolem268(_u12799, _u12797, _u12795)), skolem268(_u12799, _u12797, _u12795))), _u12799)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u12800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12800), _u12801)) | ~hBOOL(hAPP(hAPP(c_member(_u12800), _u12802), _u12801)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12800, _u12801) = _u12802) )).
% 12.32/12.51 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u12800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12800), _u12801)) | ~hBOOL(hAPP(hAPP(c_member(_u12800), _u12802), _u12801)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12800, _u12801) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12800), _u12802), c_Big__Operators_Olattice__class_OInf__fin(_u12800, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u12803, _u12804, c_Relation_OId__on(_u12803, _u12804)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u12805) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12805, hAPP(hAPP(c_Set_Oinsert(_u12805), _u12806), c_Orderings_Obot__class_Obot(tc_fun(_u12805, tc_HOL_Obool)))) = _u12806) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u12807, c_Orderings_Obot__class_Obot(tc_fun(_u12807, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12807, _u12807), tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u12808, _u12809, _u12810) | ~c_Relation_Orefl__on(_u12808, _u12811, _u12812) | c_Relation_Orefl__on(_u12808, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12808, tc_HOL_Obool)), _u12809), _u12811), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12808, _u12808), tc_HOL_Obool)), _u12810), _u12812)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u12813, _u12814, _u12815) | ~c_Relation_Orefl__on(_u12813, _u12816, _u12817) | c_Relation_Orefl__on(_u12813, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12813, tc_HOL_Obool)), _u12814), _u12816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12813, _u12813), tc_HOL_Obool)), _u12815), _u12817)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12818), _u12819)) | ~hBOOL(hAPP(hAPP(c_member(_u12818), _u12820), _u12819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12818), _u12820), c_Big__Operators_Olattice__class_OInf__fin(_u12818, _u12819)) = _u12820) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u12821) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12821), _u12822)) | ~hBOOL(hAPP(hAPP(c_member(_u12821), _u12823), _u12822)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12821), _u12823), c_Big__Operators_Olattice__class_OInf__fin(_u12821, _u12822)) = c_Big__Operators_Olattice__class_OInf__fin(_u12821, _u12822)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u12824, _u12825, _u12826) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12824, _u12824)), hAPP(hAPP(c_Product__Type_OPair(_u12824, _u12824), _u12827), _u12828)), _u12826)) | hBOOL(hAPP(hAPP(c_member(_u12824), _u12828), _u12825)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u12829, _u12830, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12829, _u12829)), hAPP(hAPP(c_Product__Type_OPair(_u12829, _u12829), _u12832), _u12833)), _u12831)) | hBOOL(hAPP(hAPP(c_member(_u12829), _u12832), _u12830)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u12834, _u12835, _u12836) | ~hBOOL(hAPP(hAPP(c_member(_u12834), _u12837), _u12835)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12834, _u12834)), hAPP(hAPP(c_Product__Type_OPair(_u12834, _u12834), _u12837), _u12837)), _u12836)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u12838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12838), _u12839)) | ( _u12839 = c_Orderings_Obot__class_Obot(tc_fun(_u12838, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12838, hAPP(hAPP(c_Set_Oinsert(_u12838), _u12840), _u12839)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12838), _u12840), c_Big__Operators_Olattice__class_OInf__fin(_u12838, _u12839))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u12841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12841), _u12842)) | ( _u12843 = c_Orderings_Obot__class_Obot(tc_fun(_u12841, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12841, tc_HOL_Obool)), _u12843), _u12842)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12841), c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12843)), c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12842)) = c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12842)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u12844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12844), _u12845)) | ( _u12845 = c_Orderings_Obot__class_Obot(tc_fun(_u12844, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12844), _u12846)) | ( _u12846 = c_Orderings_Obot__class_Obot(tc_fun(_u12844, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12844, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12844, tc_HOL_Obool)), _u12845), _u12846)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12844), c_Big__Operators_Olattice__class_OInf__fin(_u12844, _u12845)), c_Big__Operators_Olattice__class_OInf__fin(_u12844, _u12846))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u12847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12847), _u12848)) | ( _u12848 = c_Orderings_Obot__class_Obot(tc_fun(_u12847, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12847), c_Big__Operators_Olattice__class_OInf__fin(_u12847, _u12848)), c_Big__Operators_Olattice__class_OSup__fin(_u12847, _u12848))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u12849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12849), _u12850)) | hBOOL(hAPP(hAPP(c_member(_u12849), _u12851), _u12850)) | ( _u12850 = c_Orderings_Obot__class_Obot(tc_fun(_u12849, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12849, hAPP(hAPP(c_Set_Oinsert(_u12849), _u12851), _u12850)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12849), _u12851), c_Big__Operators_Olattice__class_OInf__fin(_u12849, _u12850))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u12852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12852), _u12853)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), _u12853)) = _u12854) )).
% 12.32/12.51 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u12852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12852), _u12853)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), _u12853)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12852), _u12854), c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u12855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12855), _u12856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12855), _u12857)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857) = c_Orderings_Obot__class_Obot(tc_fun(_u12855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12855), c_Big__Operators_Olattice__class_OInf__fin(_u12855, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857))), c_Big__Operators_Olattice__class_OInf__fin(_u12855, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12855), c_Big__Operators_Olattice__class_OInf__fin(_u12855, _u12856)), c_Big__Operators_Olattice__class_OInf__fin(_u12855, _u12857))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u12858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ( _u12859 = c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( _u12860 = c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860) != c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12858, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12858), c_Big__Operators_Olattice__class_OInf__fin(_u12858, _u12859)), c_Big__Operators_Olattice__class_OInf__fin(_u12858, _u12860))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u12863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12863), _u12864)) | ( _u12864 = c_Orderings_Obot__class_Obot(tc_fun(_u12863, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12863), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12863), skolem269(_u12864, _u12863)), skolem270(_u12864, _u12863))), hAPP(hAPP(c_Set_Oinsert(_u12863), skolem269(_u12864, _u12863)), hAPP(hAPP(c_Set_Oinsert(_u12863), skolem270(_u12864, _u12863)), c_Orderings_Obot__class_Obot(tc_fun(_u12863, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12863), c_Big__Operators_Olattice__class_OInf__fin(_u12863, _u12864)), _u12864)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equiv__imp__dvd__card ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equiv__imp__dvd__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12866), _u12867)) | ~c_Equiv__Relations_Oequiv(_u12866, _u12867, _u12868) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), _u12867))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12866, tc_HOL_Obool)), skolem271(_u12869, _u12868, _u12867, _u12866)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12866), _u12867), _u12868))) )).
% 12.32/12.51 cnf(fact_equiv__imp__dvd__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12866), _u12867)) | ~c_Equiv__Relations_Oequiv(_u12866, _u12867, _u12868) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), _u12867))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), skolem271(_u12869, _u12868, _u12867, _u12866)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u12870, _u12871, _u12872, _u12873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12870), _u12874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12870), _u12875)) | ( hAPP(_u12873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12870, tc_HOL_Obool)), _u12874), _u12875)) = hAPP(c_Fun_Ocomp(_u12871, _u12871, _u12871, hAPP(_u12873, _u12874)), hAPP(_u12873, _u12875))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), _u12882)) = hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), _u12882)) | ~c_Finite__Set_Ofolding__idem(_u12876, _u12877, _u12878, _u12879) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12884, _u12884, _u12884, hAPP(_u12885, _u12887)), hAPP(_u12885, _u12887)) = hAPP(_u12885, _u12887)) | ~c_Finite__Set_Ofolding__idem(_u12883, _u12884, _u12885, _u12886) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u12888, _u12889, _u12890, _u12891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12888), _u12892)) | ~hBOOL(hAPP(hAPP(c_member(_u12888), _u12893), _u12892)) | ( hAPP(c_Fun_Ocomp(_u12889, _u12889, _u12889, hAPP(_u12891, _u12892)), hAPP(_u12890, _u12893)) = hAPP(_u12891, _u12892)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u12894, _u12895, _u12896, _u12897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12894), _u12898)) | ( hAPP(_u12897, hAPP(hAPP(c_Set_Oinsert(_u12894), _u12899), _u12898)) = hAPP(c_Fun_Ocomp(_u12895, _u12895, _u12895, hAPP(_u12897, _u12898)), hAPP(_u12896, _u12899))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u12900, _u12901, _u12902, _u12903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12900), _u12904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12900, tc_HOL_Obool)), _u12905), _u12904)) | ( hAPP(c_Fun_Ocomp(_u12901, _u12901, _u12901, hAPP(_u12903, _u12904)), hAPP(_u12903, _u12905)) = hAPP(_u12903, _u12904)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12908, c_Orderings_Otop__class_Otop(tc_fun(_u12908, tc_HOL_Obool)), _u12910) | c_Equiv__Relations_Oequivp(_u12908, hAPP(hAPP(c_COMBC(_u12908, tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_fun(_u12908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12908, tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_fun(_u12908, tc_HOL_Obool)), _u12908), c_COMBC(_u12908, tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12908, tc_prod(_u12908, _u12908)), tc_fun(_u12908, tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), _u12908), hAPP(c_COMBB(tc_prod(_u12908, _u12908), tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool), _u12908), c_member(tc_prod(_u12908, _u12908)))), c_Product__Type_OPair(_u12908, _u12908)))), _u12910)) )).
% 12.32/12.51 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12909, hAPP(hAPP(c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_prod(_u12909, _u12909)), tc_fun(_u12909, tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_prod(_u12909, _u12909), tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool), _u12909), c_member(tc_prod(_u12909, _u12909)))), c_Product__Type_OPair(_u12909, _u12909)))), _u12911)) | c_Equiv__Relations_Oequiv(_u12909, c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)), _u12911) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12913)) | ~c_Fun_Oinj__on(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12912, tc_fun(tc_prod(_u12912, _u12912), tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12912, _u12912), tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool)), _u12912), c_Equiv__Relations_Oquotient(_u12912)), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), c_Set_Oinsert(_u12912)), c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))))), _u12914), _u12913) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12912), _u12913), _u12914)) = hAPP(c_Finite__Set_Ocard(_u12912), _u12913)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition__Integ-1, axiom, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u12915, _u12916, _u12917, c_Orderings_Obot__class_Obot(tc_fun(_u12915, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12918) | c_Fun_Oinj__on(_u12918, _u12918, c_Groups_Ouminus__class_Ouminus(_u12918), _u12919) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u12920, _u12921, _u12922, _u12923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12920, tc_HOL_Obool)), _u12924), _u12923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12920, _u12921, _u12922), _u12924)), hAPP(c_Set_Oimage(_u12920, _u12921, _u12922), _u12923))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u12925, _u12926, _u12927, _u12928) | ( hAPP(_u12927, _u12929) != hAPP(_u12927, _u12930)) | ~hBOOL(hAPP(hAPP(c_member(_u12925), _u12929), _u12928)) | ~hBOOL(hAPP(hAPP(c_member(_u12925), _u12930), _u12928)) | ( _u12929 = _u12930) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12931, _u12932, _u12933, _u12934) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12935), _u12934)) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12936), _u12934)) | ( hAPP(_u12933, _u12935) != hAPP(_u12933, _u12936)) | ( _u12935 = _u12936) )).
% 12.32/12.51 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12931, _u12932, _u12933, _u12934) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12935), _u12934)) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12936), _u12934)) | ( _u12935 != _u12936) | ( hAPP(_u12933, _u12935) = hAPP(_u12933, _u12936)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u12937, _u12938, _u12939, _u12940) | ( _u12941 = _u12942) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12941), _u12940)) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12942), _u12940)) | ( hAPP(_u12939, _u12941) != hAPP(_u12939, _u12942)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12943, _u12944, _u12945, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12943, tc_HOL_Obool)), _u12946), _u12947)) | ( hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12946) != hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12947)) | ( _u12946 = _u12947) )).
% 12.32/12.51 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12943, _u12944, _u12945, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12943, tc_HOL_Obool)), _u12946), _u12947)) | ( _u12946 != _u12947) | ( hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12946) = hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12947)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u12948, _u12949, _u12950, c_Orderings_Otop__class_Otop(tc_fun(_u12948, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u12951, _u12948, _u12952, c_Orderings_Otop__class_Otop(tc_fun(_u12951, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12951, _u12949, hAPP(c_Fun_Ocomp(_u12948, _u12949, _u12951, _u12950), _u12952), c_Orderings_Otop__class_Otop(tc_fun(_u12951, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u12953, _u12954, hAPP(c_Fun_Ocomp(_u12955, _u12954, _u12953, _u12956), _u12957), _u12958) | c_Fun_Oinj__on(_u12955, _u12954, _u12956, hAPP(c_Set_Oimage(_u12953, _u12955, _u12957), _u12958)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12959, _u12960, _u12961, _u12962) | ~c_Fun_Oinj__on(_u12960, _u12963, _u12964, hAPP(c_Set_Oimage(_u12959, _u12960, _u12961), _u12962)) | c_Fun_Oinj__on(_u12959, _u12963, hAPP(c_Fun_Ocomp(_u12960, _u12963, _u12959, _u12964), _u12961), _u12962) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12965, _u12966, _u12967, _u12968) | ~c_Fun_Oinj__on(_u12966, _u12969, _u12970, hAPP(c_Set_Oimage(_u12965, _u12966, _u12967), _u12968)) | c_Fun_Oinj__on(_u12965, _u12969, hAPP(c_Fun_Ocomp(_u12966, _u12969, _u12965, _u12970), _u12967), _u12968) )).
% 12.32/12.51 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12965, _u12966, _u12967, _u12968) | ~c_Fun_Oinj__on(_u12965, _u12969, hAPP(c_Fun_Ocomp(_u12966, _u12969, _u12965, _u12970), _u12967), _u12968) | c_Fun_Oinj__on(_u12966, _u12969, _u12970, hAPP(c_Set_Oimage(_u12965, _u12966, _u12967), _u12968)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u12971, _u12972, _u12973, _u12974) | ( hAPP(c_Finite__Set_Ocard(_u12972), hAPP(c_Set_Oimage(_u12971, _u12972, _u12973), _u12974)) = hAPP(c_Finite__Set_Ocard(_u12971), _u12974)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u12975, _u12976, _u12977, _u12978) | c_Fun_Oinj__on(_u12975, _u12976, _u12977, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12975, tc_HOL_Obool)), _u12978), _u12979)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u12980, _u12980, c_COMBI(_u12980), _u12981) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u12990, _u12992, _u12994, _u12996) | ~hBOOL(hAPP(hAPP(c_member(_u12990), _u12983), _u12996)) | ~hBOOL(hAPP(hAPP(c_member(_u12990), _u12982), _u12996)) | ( hAPP(_u12994, _u12983) != hAPP(_u12994, _u12982)) | ( _u12983 = _u12982) )).
% 12.32/12.51 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | hBOOL(hAPP(hAPP(c_member(_u12991), skolem272(_u12997, _u12995, _u12993, _u12991)), _u12997)) )).
% 12.32/12.51 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | hBOOL(hAPP(hAPP(c_member(_u12991), skolem273(_u12997, _u12995, _u12993, _u12991)), _u12997)) )).
% 12.32/12.51 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | ( hAPP(_u12995, skolem272(_u12997, _u12995, _u12993, _u12991)) = hAPP(_u12995, skolem273(_u12997, _u12995, _u12993, _u12991))) )).
% 12.32/12.51 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | ( skolem272(_u12997, _u12995, _u12993, _u12991) != skolem273(_u12997, _u12995, _u12993, _u12991)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12998, _u12999, _u13000, _u13001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12998, tc_HOL_Obool)), _u13002), _u13001)) | c_Fun_Oinj__on(_u12998, _u12999, _u13000, _u13002) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13003), hAPP(c_Set_Oimage(_u13004, _u13003, _u13005), _u13006))) | ~c_Fun_Oinj__on(_u13004, _u13003, _u13005, _u13006) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13004), _u13006)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13007, _u13008, hAPP(c_Fun_Ocomp(_u13009, _u13008, _u13007, _u13010), _u13011), _u13012) | c_Fun_Oinj__on(_u13007, _u13009, _u13011, _u13012) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u13013, c_fequal) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u13028, _u13030) | ~hBOOL(hAPP(hAPP(_u13030, _u13022), _u13020)) | ( hAPP(_u13030, _u13022) = hAPP(_u13030, _u13020)) )).
% 12.32/12.51 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u13028, _u13030) | ( hAPP(_u13030, _u13023) != hAPP(_u13030, _u13021)) | hBOOL(hAPP(hAPP(_u13030, _u13023), _u13021)) )).
% 12.32/12.51 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | hBOOL(hAPP(hAPP(_u13031, skolem274(_u13031)), skolem275(_u13031))) | ( hAPP(_u13031, skolem276(_u13031)) = hAPP(_u13031, skolem277(_u13031))) )).
% 12.32/12.51 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | hBOOL(hAPP(hAPP(_u13031, skolem274(_u13031)), skolem275(_u13031))) | ~hBOOL(hAPP(hAPP(_u13031, skolem276(_u13031)), skolem277(_u13031))) )).
% 12.32/12.51 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | ( hAPP(_u13031, skolem274(_u13031)) != hAPP(_u13031, skolem275(_u13031))) | ( hAPP(_u13031, skolem276(_u13031)) = hAPP(_u13031, skolem277(_u13031))) )).
% 12.32/12.51 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | ( hAPP(_u13031, skolem274(_u13031)) != hAPP(_u13031, skolem275(_u13031))) | ~hBOOL(hAPP(hAPP(_u13031, skolem276(_u13031)), skolem277(_u13031))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u13033, _u13034), _u13034)) | ~c_Equiv__Relations_Oequivp(_u13032, _u13033) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13036, _u13037), _u13038)) | hBOOL(hAPP(hAPP(_u13036, _u13038), _u13037)) | ~c_Equiv__Relations_Oequivp(_u13035, _u13036) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13040, _u13041), _u13042)) | ~hBOOL(hAPP(hAPP(_u13040, _u13042), _u13043)) | hBOOL(hAPP(hAPP(_u13040, _u13041), _u13043)) | ~c_Equiv__Relations_Oequivp(_u13039, _u13040) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13044, _u13045, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13044, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13047) != hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13048)) | ( _u13047 = _u13048) )).
% 12.32/12.51 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13044, _u13045, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13044, tc_HOL_Obool))) | ( _u13047 != _u13048) | ( hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13047) = hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13048)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_injD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_injD-1, axiom, ( ( hAPP(_u13051, _u13052) != hAPP(_u13051, _u13053)) | ( _u13052 = _u13053) | ~c_Fun_Oinj__on(_u13049, _u13050, _u13051, c_Orderings_Otop__class_Otop(tc_fun(_u13049, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13054, _u13055, _u13056, c_Orderings_Otop__class_Otop(tc_fun(_u13054, tc_HOL_Obool))) | ( hAPP(_u13056, _u13057) != hAPP(_u13056, _u13058)) | ( _u13057 = _u13058) )).
% 12.32/12.51 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u13054, _u13055, _u13056, c_Orderings_Otop__class_Otop(tc_fun(_u13054, tc_HOL_Obool))) | ( _u13057 != _u13058) | ( hAPP(_u13056, _u13057) = hAPP(_u13056, _u13058)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u13059, _u13060, _u13061, c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13059, tc_fun(_u13062, _u13060), hAPP(hAPP(c_COMBB(_u13060, tc_fun(_u13062, _u13060), _u13059), c_COMBK(_u13060, _u13062)), _u13061), c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13066) | ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13067) | c_Fun_Oinj__on(_u13063, _u13064, _u13065, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13063, tc_HOL_Obool)), _u13066), _u13067)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13068, _u13069, _u13070, c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13069), hAPP(_u13070, _u13071)), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), _u13072))) | hBOOL(hAPP(hAPP(c_member(_u13068), _u13071), _u13072)) )).
% 12.32/12.51 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13068, _u13069, _u13070, c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13068), _u13071), _u13072)) | hBOOL(hAPP(hAPP(c_member(_u13069), hAPP(_u13070, _u13071)), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), _u13072))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 = hAPP(_u13079, skolem278(_u13080, _u13079, _u13078, _u13077))) )).
% 12.32/12.51 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13073)) | ( _u13073 = skolem278(_u13080, _u13079, _u13078, _u13077)) )).
% 12.32/12.51 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13076)) | ( _u13080 = hAPP(_u13079, skolem279(_u13080, _u13079, _u13078, _u13077, _u13076))) )).
% 12.32/12.51 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13076)) | ( skolem279(_u13080, _u13079, _u13078, _u13077, _u13076) != _u13076) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13086, _u13087, _u13081, _u13085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13087, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13086, _u13087, _u13081), _u13085)), _u13088)) | ( hAPP(c_Set_Oimage(_u13087, _u13086, skolem280(_u13088, _u13087, _u13086, _u13085)), _u13088) = _u13085) )).
% 12.32/12.51 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13087, _u13086, _u13083), _u13088) != _u13085) | c_Fun_Oinj__on(_u13086, _u13087, skolem281(_u13088, _u13087, _u13086, _u13085), _u13085) )).
% 12.32/12.51 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13087, _u13086, _u13083), _u13088) != _u13085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13087, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13086, _u13087, skolem281(_u13088, _u13087, _u13086, _u13085)), _u13085)), _u13088)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13089), _u13090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13089, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13089, _u13089, _u13091), _u13090)), _u13090)) | ~c_Fun_Oinj__on(_u13089, _u13089, _u13091, _u13090) | ( hAPP(c_Set_Oimage(_u13089, _u13089, _u13091), _u13090) = _u13090) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13092), _u13093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13092, tc_HOL_Obool)), _u13093), hAPP(c_Set_Oimage(_u13092, _u13092, _u13094), _u13093))) | c_Fun_Oinj__on(_u13092, _u13092, _u13094, _u13093) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13095), c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u13095, _u13095, _u13096, c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13095, _u13095, _u13096), c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13097), c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u13097, _u13097, _u13098), c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13097, _u13097, _u13098, c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13099, _u13100, _u13101, c_Orderings_Otop__class_Otop(tc_fun(_u13099, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13102)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13099, tc_HOL_Obool)), _u13102), _u13103)) )).
% 12.32/12.51 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13099, _u13100, _u13101, c_Orderings_Otop__class_Otop(tc_fun(_u13099, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13099, tc_HOL_Obool)), _u13102), _u13103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13102)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13103))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13104, _u13105, _u13106, _u13107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13104, tc_HOL_Obool)), _u13108), _u13107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13104, tc_HOL_Obool)), _u13109), _u13107)) | ( hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13104, tc_HOL_Obool)), _u13108), _u13109)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13105, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), _u13108)), hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), _u13109))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13110, _u13111, _u13112, c_Orderings_Otop__class_Otop(tc_fun(_u13110, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13110, tc_HOL_Obool)), _u13113), _u13114)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13111, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), _u13113)), hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), _u13114))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13115), _u13116)) | ( hAPP(c_Finite__Set_Ocard(_u13117), hAPP(c_Set_Oimage(_u13115, _u13117, _u13118), _u13116)) != hAPP(c_Finite__Set_Ocard(_u13115), _u13116)) | c_Fun_Oinj__on(_u13115, _u13117, _u13118, _u13116) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13119), _u13120)) | ~c_Fun_Oinj__on(_u13119, _u13121, _u13122, _u13120) | ( hAPP(c_Finite__Set_Ocard(_u13121), hAPP(c_Set_Oimage(_u13119, _u13121, _u13122), _u13120)) = hAPP(c_Finite__Set_Ocard(_u13119), _u13120)) )).
% 12.32/12.51 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13119), _u13120)) | ( hAPP(c_Finite__Set_Ocard(_u13121), hAPP(c_Set_Oimage(_u13119, _u13121, _u13122), _u13120)) != hAPP(c_Finite__Set_Ocard(_u13119), _u13120)) | c_Fun_Oinj__on(_u13119, _u13121, _u13122, _u13120) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u13123, _u13124, _u13125, _u13126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13123, tc_HOL_Obool)), _u13127), _u13126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13123, tc_HOL_Obool)), _u13128), _u13126)) | ( hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13123, tc_HOL_Obool)), _u13127), _u13128)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13124, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), _u13127)), hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), _u13128))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u13129, _u13130, _u13131, c_Orderings_Otop__class_Otop(tc_fun(_u13129, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13129, tc_HOL_Obool)), _u13132), _u13133)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), _u13132)), hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), _u13133))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13134) | ~c_Fun_Oinj__on(_u13135, _u13136, _u13137, _u13138) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13136, _u13134), _u13139), hAPP(c_Set_Oimage(_u13135, _u13136, _u13137), _u13138)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13135, _u13134), hAPP(c_Fun_Ocomp(_u13136, _u13134, _u13135, _u13139), _u13137)), _u13138)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13140), hAPP(c_Set_Oimage(_u13141, _u13140, _u13142), _u13143))), hAPP(c_Finite__Set_Ocard(_u13141), _u13143))) | ~c_Fun_Oinj__on(_u13141, _u13140, _u13142, _u13143) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u13144, _u13145, _u13146, _u13147) | hBOOL(hAPP(hAPP(c_member(_u13145), _u13148), hAPP(c_Set_Oimage(_u13144, _u13145, _u13146), _u13147))) | c_Fun_Oinj__on(_u13144, _u13145, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13144, _u13145), _u13146), _u13149), _u13148), _u13147) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13150) | ~c_Fun_Oinj__on(_u13151, _u13152, _u13153, _u13154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13152, _u13150), _u13155), hAPP(c_Set_Oimage(_u13151, _u13152, _u13153), _u13154)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13151, _u13150), hAPP(c_Fun_Ocomp(_u13152, _u13150, _u13151, _u13155), _u13153)), _u13154)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13156) | ~c_Fun_Oinj__on(_u13157, _u13158, _u13159, _u13160) | ( _u13161 != hAPP(c_Set_Oimage(_u13157, _u13158, _u13159), _u13160)) | ( _u13162 != hAPP(c_Fun_Ocomp(_u13158, _u13156, _u13157, _u13163), _u13159)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13158, _u13156), _u13163), _u13161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13157, _u13156), _u13162), _u13160)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u13164, tc_fun(_u13164, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13164, tc_fun(_u13164, tc_HOL_Obool), tc_fun(_u13164, tc_HOL_Obool)), c_Set_Oinsert(_u13164)), c_Orderings_Obot__class_Obot(tc_fun(_u13164, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13164, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13166), _u13167)) | ~c_Fun_Oinj__on(_u13166, _u13166, _u13168, _u13167) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13166, _u13165), _u13169), hAPP(c_Set_Oimage(_u13166, _u13166, _u13168), _u13167)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13166, _u13165), hAPP(c_Fun_Ocomp(_u13166, _u13165, _u13166, _u13169), _u13168)), _u13167)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13170, _u13171, _u13172, _u13173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13171, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13170, _u13171, _u13172), _u13173)), _u13174)) | ~c_Fun_Oinj__on(_u13171, _u13170, _u13175, _u13174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13170, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13171, _u13170, _u13175), _u13174)), _u13173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13171), _u13174)) | ( hAPP(c_Finite__Set_Ocard(_u13170), _u13173) = hAPP(c_Finite__Set_Ocard(_u13171), _u13174)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13177), _u13178)) | ~c_Fun_Oinj__on(_u13177, _u13177, _u13179, _u13178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13177, _u13176), _u13180), hAPP(c_Set_Oimage(_u13177, _u13177, _u13179), _u13178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13177, _u13176), hAPP(c_Fun_Ocomp(_u13177, _u13176, _u13177, _u13180), _u13179)), _u13178)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u13181, _u13182, _u13183, c_Orderings_Otop__class_Otop(tc_fun(_u13181, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13182, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13181, _u13182, _u13183), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13181, tc_HOL_Obool)), _u13184))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13182, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13181, _u13182, _u13183), _u13184)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u13190, _u13192, _u13194, hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), _u13198)) | c_Fun_Oinj__on(_u13190, _u13192, _u13194, _u13198) )).
% 12.32/12.51 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u13190, _u13192, _u13194, hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), _u13198)) | ~hBOOL(hAPP(hAPP(c_member(_u13192), hAPP(_u13194, _u13196)), hAPP(c_Set_Oimage(_u13190, _u13192, _u13194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13190, tc_HOL_Obool)), _u13198), hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), c_Orderings_Obot__class_Obot(tc_fun(_u13190, tc_HOL_Obool))))))) )).
% 12.32/12.51 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u13191, _u13193, _u13195, _u13199) | hBOOL(hAPP(hAPP(c_member(_u13193), hAPP(_u13195, _u13197)), hAPP(c_Set_Oimage(_u13191, _u13193, _u13195), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13191, tc_HOL_Obool)), _u13199), hAPP(hAPP(c_Set_Oinsert(_u13191), _u13197), c_Orderings_Obot__class_Obot(tc_fun(_u13191, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u13191, _u13193, _u13195, hAPP(hAPP(c_Set_Oinsert(_u13191), _u13197), _u13199)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | c_Fun_Oinj__on(_u13205, _u13207, _u13209, _u13211) )).
% 12.32/12.51 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | c_Fun_Oinj__on(_u13205, _u13207, _u13209, _u13213) )).
% 12.32/12.51 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13207, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13205, _u13207, _u13209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213))), hAPP(c_Set_Oimage(_u13205, _u13207, _u13209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13205, tc_HOL_Obool)), _u13213), _u13211))) = c_Orderings_Obot__class_Obot(tc_fun(_u13207, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u13206, _u13208, _u13210, _u13212) | ~c_Fun_Oinj__on(_u13206, _u13208, _u13210, _u13214) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13208, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13206, _u13208, _u13210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13206, tc_HOL_Obool)), _u13212), _u13214))), hAPP(c_Set_Oimage(_u13206, _u13208, _u13210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13206, tc_HOL_Obool)), _u13214), _u13212))) != c_Orderings_Obot__class_Obot(tc_fun(_u13208, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13206, _u13208, _u13210, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13206, tc_HOL_Obool)), _u13212), _u13214)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~c_Fun_Oinj__on(_u13217, _u13219, _u13215, _u13218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13219, _u13215), _u13218)), _u13220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) )).
% 12.32/12.51 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) | c_Fun_Oinj__on(_u13217, _u13219, skolem282(_u13220, _u13219, _u13218, _u13217), _u13218) )).
% 12.32/12.51 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13219, skolem282(_u13220, _u13219, _u13218, _u13217)), _u13218)), _u13220)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u13221, _u13222, _u13223, _u13224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13222, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13221, _u13222, _u13223), _u13224)), _u13225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13222), _u13225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13221), _u13224)), hAPP(c_Finite__Set_Ocard(_u13222), _u13225))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u13226, tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13226, tc_fun(tc_prod(_u13226, _u13226), tc_HOL_Obool), tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13226, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13226, _u13226), tc_HOL_Obool), tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), _u13226), c_Equiv__Relations_Oquotient(_u13226)), hAPP(hAPP(c_COMBC(_u13226, tc_fun(_u13226, tc_HOL_Obool), tc_fun(_u13226, tc_HOL_Obool)), c_Set_Oinsert(_u13226)), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool))))), _u13227), _u13228) | ~hBOOL(hAPP(hAPP(c_member(_u13226), _u13229), _u13228)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13226, tc_HOL_Obool)), _u13228), hAPP(hAPP(c_Set_Oinsert(_u13226), _u13229), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool))))), _u13227) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), _u13228), _u13227)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), hAPP(hAPP(c_Set_Oinsert(_u13226), _u13229), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool)))), _u13227))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u13230, _u13231, _u13232, _u13233, _u13234) | ( hAPP(c_Set_Oimage(_u13231, _u13230, _u13233), _u13234) = c_Orderings_Otop__class_Otop(tc_fun(_u13230, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u13235, _u13236, _u13237, _u13238, _u13239) | ( hAPP(c_Set_Oimage(_u13235, _u13236, _u13237), c_Orderings_Otop__class_Otop(tc_fun(_u13235, tc_HOL_Obool))) = _u13239) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13240, _u13241, _u13242, _u13243, _u13244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13241), _u13245)) | ~c_Fun_Oinj__on(_u13241, _u13241, _u13246, _u13245) | ( hAPP(hAPP(_u13244, _u13247), hAPP(c_Set_Oimage(_u13241, _u13241, _u13246), _u13245)) = hAPP(hAPP(_u13244, hAPP(c_Fun_Ocomp(_u13241, _u13240, _u13241, _u13247), _u13246)), _u13245)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__Inr ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__Inr-1, axiom, ( c_Fun_Oinj__on(_u13248, tc_sum(_u13249, _u13248), c_Sum__Type_OInr(_u13248, _u13249), _u13250) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u13251) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__Some ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__Some-1, axiom, ( c_Fun_Oinj__on(_u13252, tc_Option_Ooption(_u13252), c_Option_Ooption_OSome(_u13252), _u13253) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__Inl ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__Inl-1, axiom, ( c_Fun_Oinj__on(_u13254, tc_sum(_u13254, _u13255), c_Sum__Type_OInl(_u13254, _u13255), _u13256) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 12.32/12.51 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)), _u13257), _u13258) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u13259) | c_Fun_Oinj__on(tc_Nat_Onat, _u13259, c_Nat_Osemiring__1__class_Oof__nat(_u13259), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u13260, _u13261), tc_prod(_u13261, _u13260), hAPP(c_Product__Type_Oprod_Oprod__case(_u13260, _u13261, tc_prod(_u13261, _u13260)), hAPP(c_COMBC(_u13261, _u13260, tc_prod(_u13261, _u13260)), c_Product__Type_OPair(_u13261, _u13260))), _u13262) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13263, _u13264, _u13265, _u13266, _u13267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13264), _u13268)) | ( hAPP(hAPP(_u13267, hAPP(hAPP(c_COMBS(_u13264, _u13263, _u13263), hAPP(hAPP(c_COMBB(_u13263, tc_fun(_u13263, _u13263), _u13264), _u13265), _u13269)), _u13270)), _u13268) = hAPP(hAPP(_u13265, hAPP(hAPP(_u13267, _u13269), _u13268)), hAPP(hAPP(_u13267, _u13270), _u13268))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u13274, hAPP(_u13273, _u13276)) = _u13276) | ~c_Typedef_Otype__definition(_u13271, _u13272, _u13273, _u13274, _u13275) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u13277, _u13278, _u13279, _u13280, _u13281) | ( hAPP(_u13279, _u13282) != hAPP(_u13279, _u13283)) | ( _u13282 = _u13283) )).
% 12.32/12.51 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u13277, _u13278, _u13279, _u13280, _u13281) | ( _u13282 != _u13283) | ( hAPP(_u13279, _u13282) = hAPP(_u13279, _u13283)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition__code__numeral-1, axiom, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u13284, _u13285, _u13286, _u13287, _u13288) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13289), _u13288)) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13290), _u13288)) | ( hAPP(_u13287, _u13289) != hAPP(_u13287, _u13290)) | ( _u13289 = _u13290) )).
% 12.32/12.51 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u13284, _u13285, _u13286, _u13287, _u13288) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13289), _u13288)) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13290), _u13288)) | ( _u13289 != _u13290) | ( hAPP(_u13287, _u13289) = hAPP(_u13287, _u13290)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13292), _u13296), _u13295)) | ( hAPP(_u13293, hAPP(_u13294, _u13296)) = _u13296) | ~c_Typedef_Otype__definition(_u13291, _u13292, _u13293, _u13294, _u13295) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13298), hAPP(_u13299, _u13302)), _u13301)) | ~c_Typedef_Otype__definition(_u13297, _u13298, _u13299, _u13300, _u13301) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13303, _u13304, _u13305, hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308)) | ~c_Fun_Oinj__on(_u13306, _u13303, _u13307, _u13308) | ~hBOOL(hAPP(hAPP(c_member(_u13304), _u13309), hAPP(c_Set_Oimage(_u13303, _u13304, _u13305), hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308)))) | ( hAPP(c_Fun_Othe__inv__into(_u13306, _u13304, _u13308, hAPP(c_Fun_Ocomp(_u13303, _u13304, _u13306, _u13305), _u13307)), _u13309) = hAPP(hAPP(c_Fun_Ocomp(_u13303, _u13306, _u13304, c_Fun_Othe__inv__into(_u13306, _u13303, _u13308, _u13307)), c_Fun_Othe__inv__into(_u13303, _u13304, hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308), _u13305)), _u13309)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u13310, _u13311, _u13312, _u13313) | ~hBOOL(hAPP(hAPP(c_member(_u13311), _u13314), hAPP(c_Set_Oimage(_u13310, _u13311, _u13312), _u13313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13310, tc_HOL_Obool)), _u13313), _u13315)) | hBOOL(hAPP(hAPP(c_member(_u13310), hAPP(c_Fun_Othe__inv__into(_u13310, _u13311, _u13313, _u13312), _u13314)), _u13315)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13317), _u13318)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13317), _u13319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13317, tc_HOL_Obool)), _u13318), _u13319) != c_Orderings_Obot__class_Obot(tc_fun(_u13317, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13317, tc_HOL_Obool)), _u13318), _u13319)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13316), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), _u13318)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), _u13319))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13321, _u13322, _u13323), _u13324), _u13325), c_Orderings_Obot__class_Obot(tc_fun(_u13322, tc_HOL_Obool))) = _u13325) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u13326, _u13327, _u13328, _u13329, _u13330, _u13331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13327), _u13332)) | ( hAPP(_u13331, _u13332) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13326, _u13327, _u13328), _u13330), _u13329), _u13332)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13333, _u13334, _u13335, _u13336, _u13337) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13334), _u13338)) | ( hAPP(hAPP(_u13337, _u13339), _u13338) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13333, _u13334, _u13335), _u13339), _u13336), _u13338)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13340, _u13341, _u13342, _u13343) | ( hAPP(_u13342, _u13344) != _u13345) | ~hBOOL(hAPP(hAPP(c_member(_u13340), _u13344), _u13343)) | ( hAPP(c_Fun_Othe__inv__into(_u13340, _u13341, _u13343, _u13342), _u13345) = _u13344) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u13346, _u13347, _u13348, _u13349) | ~hBOOL(hAPP(hAPP(c_member(_u13346), _u13350), _u13349)) | ( hAPP(c_Fun_Othe__inv__into(_u13346, _u13347, _u13349, _u13348), hAPP(_u13348, _u13350)) = _u13350) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u13351, _u13352, _u13353, c_Orderings_Otop__class_Otop(tc_fun(_u13351, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u13351, _u13352, c_Orderings_Otop__class_Otop(tc_fun(_u13351, tc_HOL_Obool)), _u13353), hAPP(_u13353, _u13354)) = _u13354) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u13355, _u13356, _u13357, _u13358) | c_Fun_Oinj__on(_u13356, _u13355, c_Fun_Othe__inv__into(_u13355, _u13356, _u13358, _u13357), hAPP(c_Set_Oimage(_u13355, _u13356, _u13357), _u13358)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u13359, _u13360, _u13361, _u13362) | ( hAPP(c_Set_Oimage(_u13360, _u13359, c_Fun_Othe__inv__into(_u13359, _u13360, _u13362, _u13361)), hAPP(c_Set_Oimage(_u13359, _u13360, _u13361), _u13362)) = _u13362) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), hAPP(hAPP(c_COMBS(_u13364, _u13363, _u13363), hAPP(hAPP(c_COMBB(_u13363, tc_fun(_u13363, _u13363), _u13364), c_Groups_Otimes__class_Otimes(_u13363)), _u13366)), _u13367)), c_Groups_Oone__class_Oone(_u13363)), _u13365) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13363), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), _u13366), c_Groups_Oone__class_Oone(_u13363)), _u13365)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), _u13367), c_Groups_Oone__class_Oone(_u13363)), _u13365))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u13368, _u13369, _u13370, _u13371), _u13372) = c_HOL_OThe(_u13368, hAPP(hAPP(c_COMBS(_u13368, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13368), c_fconj), hAPP(hAPP(c_COMBC(_u13368, tc_fun(_u13368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13368)), _u13370))), hAPP(hAPP(c_COMBC(_u13368, _u13369, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13369, tc_fun(_u13369, tc_HOL_Obool), _u13368), c_fequal), _u13371)), _u13372)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13374), _u13375)) | hBOOL(hAPP(hAPP(c_member(_u13374), _u13376), _u13375)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13373, _u13374, c_Groups_Otimes__class_Otimes(_u13373)), _u13377), _u13378), hAPP(hAPP(c_Set_Oinsert(_u13374), _u13376), _u13375)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13373), hAPP(_u13377, _u13376)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13373, _u13374, c_Groups_Otimes__class_Otimes(_u13373)), _u13377), _u13378), _u13375))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13380, _u13379), _u13382), _u13381) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13379, _u13380, c_Groups_Oplus__class_Oplus(_u13379)), _u13382), c_Groups_Ozero__class_Ozero(_u13379)), _u13381)) )).
% 12.32/12.51 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13379) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13380, _u13379), _u13382), _u13381) = c_Groups_Ozero__class_Ozero(_u13379)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13383) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13384), _u13385)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13384, _u13383), _u13386), _u13385) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13383, _u13384, c_Groups_Oplus__class_Oplus(_u13383)), _u13386), c_Groups_Ozero__class_Ozero(_u13383)), _u13385)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13389)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13388, _u13387), _u13390), _u13389) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13387, _u13388, c_Groups_Otimes__class_Otimes(_u13387)), _u13390), c_Groups_Oone__class_Oone(_u13387)), _u13389)) )).
% 12.32/12.51 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13387) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13389)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13388, _u13387), _u13390), _u13389) = c_Groups_Oone__class_Oone(_u13387)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13392), _u13393)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13392, _u13391), _u13394), _u13393) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13391, _u13392, c_Groups_Otimes__class_Otimes(_u13391)), _u13394), c_Groups_Oone__class_Oone(_u13391)), _u13393)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u13395, _u13396, _u13397, _u13398) | ~hBOOL(hAPP(hAPP(c_member(_u13396), _u13399), hAPP(c_Set_Oimage(_u13395, _u13396, _u13397), _u13398))) | ( hAPP(_u13397, hAPP(c_Fun_Othe__inv__into(_u13395, _u13396, _u13398, _u13397), _u13399)) = _u13399) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13401), _u13402)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13401), _u13403)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13400), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), _u13402)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), _u13403)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13400), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13401, tc_HOL_Obool)), _u13402), _u13403))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13401, tc_HOL_Obool)), _u13402), _u13403)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13406), _u13407)) | ~c_Fun_Oinj__on(_u13406, _u13408, _u13409, _u13407) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13405, _u13408, c_Groups_Otimes__class_Otimes(_u13405)), _u13410), _u13411), hAPP(c_Set_Oimage(_u13406, _u13408, _u13409), _u13407)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13405, _u13406, c_Groups_Otimes__class_Otimes(_u13405)), hAPP(c_Fun_Ocomp(_u13408, _u13405, _u13406, _u13410), _u13409)), _u13411), _u13407)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13412), _u13413)) | ( hAPP(c_Set_Oimage(_u13412, _u13414, _u13415), _u13413) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u13414, tc_HOL_Obool), _u13412, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13414, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13412, tc_fun(_u13414, tc_HOL_Obool), tc_fun(_u13414, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u13414, tc_fun(tc_fun(_u13414, tc_HOL_Obool), tc_fun(_u13414, tc_HOL_Obool)), _u13412), c_Set_Oinsert(_u13414)), _u13415)), c_Orderings_Obot__class_Obot(tc_fun(_u13414, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u13414, tc_HOL_Obool))), _u13413)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13416), _u13417)) | ( hAPP(c_Finite__Set_Ocard(_u13416), _u13417) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13416, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13416), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13417)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_card__def ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13420), _u13422)) | ( hAPP(c_Finite__Set_Ocard(_u13420), _u13422) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13420, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13420), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13422)) )).
% 12.32/12.51 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13421), _u13423)) | ( hAPP(c_Finite__Set_Ocard(_u13421), _u13423) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u13424, _u13425, _u13426, _u13427, _u13428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13425), _u13429)) | ( hAPP(hAPP(_u13428, _u13430), _u13429) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13424, _u13425, _u13426), _u13430), _u13427), _u13429)) )).
% 12.32/12.51 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u13424, _u13425, _u13426, _u13427, _u13428) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13425), _u13429)) | ( hAPP(hAPP(_u13428, _u13430), _u13429) = _u13427) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13434)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13435)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13432), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13434)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13435))) | hBOOL(hAPP(hAPP(c_member(_u13433), skolem283(_u13436, _u13435, _u13434, _u13433, _u13432)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435))) )).
% 12.32/12.51 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13434)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13435)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13432), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13434)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13435))) | ( hAPP(_u13436, skolem283(_u13436, _u13435, _u13434, _u13433, _u13432)) != c_Groups_Oone__class_Oone(_u13432)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u13437, _u13438, _u13439, c_Orderings_Otop__class_Otop(tc_fun(_u13437, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13437, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13437, _u13438, _u13439), hAPP(hAPP(c_Set_Oinsert(_u13438), _u13440), c_Orderings_Obot__class_Obot(tc_fun(_u13438, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u13437), c_HOL_OThe(_u13437, hAPP(hAPP(c_COMBC(_u13437, _u13438, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13438, tc_fun(_u13438, tc_HOL_Obool), _u13437), c_fequal), _u13439)), _u13440))), c_Orderings_Obot__class_Obot(tc_fun(_u13437, tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u13441, _u13442) != _u13443) | ~hBOOL(hAPP(hAPP(c_member(_u13444), _u13443), _u13445)) | hBOOL(hAPP(hAPP(c_member(_u13446), _u13442), hAPP(c_Set_Ovimage(_u13446, _u13444, _u13441), _u13445))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13448, tc_HOL_Obool)), _u13450), _u13451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13447, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), _u13450)), hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), _u13451))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13452, _u13453, _u13454), c_Orderings_Otop__class_Otop(tc_fun(_u13453, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13452, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13455, _u13456, hAPP(c_Fun_Ocomp(_u13457, _u13456, _u13455, _u13458), _u13459)), _u13460) = hAPP(c_Set_Ovimage(_u13455, _u13457, _u13459), hAPP(c_Set_Ovimage(_u13457, _u13456, _u13458), _u13460))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13461, _u13462, _u13463), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13464, tc_fun(_u13462, tc_HOL_Obool)), _u13465), _u13466)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13464, tc_fun(_u13461, tc_HOL_Obool)), _u13465), hAPP(hAPP(c_COMBB(tc_fun(_u13462, tc_HOL_Obool), tc_fun(_u13461, tc_HOL_Obool), _u13464), c_Set_Ovimage(_u13461, _u13462, _u13463)), _u13466))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13467, tc_HOL_Obool)), _u13468), _u13469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13470, _u13467, _u13471), _u13468)), hAPP(c_Set_Ovimage(_u13470, _u13467, _u13471), _u13469))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u13483, hAPP(_u13481, _u13485))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13477, _u13479, _u13481), _u13483), _u13485)) )).
% 12.32/12.51 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u13484, hAPP(_u13482, _u13486))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13478, _u13480, _u13482), _u13484), _u13486)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13487, _u13488, _u13489), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13488, tc_HOL_Obool)), _u13490)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13487, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13487, _u13488, _u13489), _u13490))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13491, _u13491, c_COMBI(_u13491)), _u13492) = _u13492) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13493, _u13494, _u13495), c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13493, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13497, tc_HOL_Obool)), _u13499), _u13500)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13496, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), _u13499)), hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), _u13500))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13510), hAPP(_u13512, _u13508)), _u13514)) | ~hBOOL(hAPP(hAPP(c_member(_u13506), _u13508), hAPP(c_Set_Ovimage(_u13506, _u13510, _u13512), _u13514))) )).
% 12.32/12.51 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13511), hAPP(_u13513, _u13509)), _u13515)) | hBOOL(hAPP(hAPP(c_member(_u13507), _u13509), hAPP(c_Set_Ovimage(_u13507, _u13511, _u13513), _u13515))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13518), hAPP(_u13519, _u13517)), _u13520)) | ~hBOOL(hAPP(hAPP(c_member(_u13516), _u13517), hAPP(c_Set_Ovimage(_u13516, _u13518, _u13519), _u13520))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13521), hAPP(_u13522, _u13523)), _u13524)) | hBOOL(hAPP(hAPP(c_member(_u13525), _u13523), hAPP(c_Set_Ovimage(_u13525, _u13521, _u13522), _u13524))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13526, _u13527, _u13528), c_Orderings_Otop__class_Otop(tc_fun(_u13526, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13527, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13526, _u13527, _u13528), hAPP(c_Set_Ovimage(_u13526, _u13527, _u13528), _u13529)) = _u13529) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13530, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13531, _u13530, _u13532), hAPP(c_Set_Ovimage(_u13531, _u13530, _u13532), _u13533))), _u13533)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13535, tc_HOL_Obool)), _u13537), _u13538)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13534, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), _u13537)), hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), _u13538))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u13550, _u13546) = _u13552) | ~hBOOL(hAPP(hAPP(c_member(_u13544), _u13546), hAPP(c_Set_Ovimage(_u13544, _u13548, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13548), _u13552), c_Orderings_Obot__class_Obot(tc_fun(_u13548, tc_HOL_Obool)))))) )).
% 12.32/12.51 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u13551, _u13547) != _u13553) | hBOOL(hAPP(hAPP(c_member(_u13545), _u13547), hAPP(c_Set_Ovimage(_u13545, _u13549, _u13551), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13553), c_Orderings_Obot__class_Obot(tc_fun(_u13549, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), hAPP(hAPP(c_Set_Oinsert(_u13555), _u13557), _u13558)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13554, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), hAPP(hAPP(c_Set_Oinsert(_u13555), _u13557), c_Orderings_Obot__class_Obot(tc_fun(_u13555, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), _u13558))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13559), hAPP(c_Set_Ovimage(_u13559, _u13560, _u13561), _u13562))) | ( hAPP(c_Set_Oimage(_u13559, _u13560, _u13561), c_Orderings_Otop__class_Otop(tc_fun(_u13559, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13560, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13560), _u13562)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u13563, _u13564, _u13565), c_Orderings_Otop__class_Otop(tc_fun(_u13563, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13564, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13563, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13563, _u13564, _u13565), _u13566)), _u13567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13564, tc_HOL_Obool)), _u13566), hAPP(c_Set_Oimage(_u13563, _u13564, _u13565), _u13567))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13568, _u13569, _u13570), hAPP(c_Set_Ovimage(_u13568, _u13569, _u13570), _u13571)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13569, tc_HOL_Obool)), _u13571), hAPP(c_Set_Oimage(_u13568, _u13569, _u13570), c_Orderings_Otop__class_Otop(tc_fun(_u13568, tc_HOL_Obool))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13572), _u13573)) | ~c_Fun_Oinj__on(_u13574, _u13572, _u13575, c_Orderings_Otop__class_Otop(tc_fun(_u13574, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13574), hAPP(c_Set_Ovimage(_u13574, _u13572, _u13575), _u13573))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13576, _u13577, _u13578, c_Orderings_Otop__class_Otop(tc_fun(_u13576, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13576, _u13577, _u13578), hAPP(c_Set_Oimage(_u13576, _u13577, _u13578), _u13579)) = _u13579) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13584), _u13586), _u13588)) | ( hAPP(c_Set_Ovimage(_u13590, _u13584, hAPP(c_COMBK(_u13584, _u13590), _u13586)), _u13588) = c_Orderings_Otop__class_Otop(tc_fun(_u13590, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13585), _u13587), _u13589)) | ( hAPP(c_Set_Ovimage(_u13591, _u13585, hAPP(c_COMBK(_u13585, _u13591), _u13587)), _u13589) = c_Orderings_Obot__class_Obot(tc_fun(_u13591, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13592, _u13593, _u13594), _u13595) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13593, tc_fun(_u13592, tc_HOL_Obool)), _u13595), hAPP(hAPP(c_COMBB(tc_fun(_u13593, tc_HOL_Obool), tc_fun(_u13592, tc_HOL_Obool), _u13593), c_Set_Ovimage(_u13592, _u13593, _u13594)), hAPP(hAPP(c_COMBC(_u13593, tc_fun(_u13593, tc_HOL_Obool), tc_fun(_u13593, tc_HOL_Obool)), c_Set_Oinsert(_u13593)), c_Orderings_Obot__class_Obot(tc_fun(_u13593, tc_HOL_Obool)))))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u13596, _u13597, _u13598, c_Orderings_Otop__class_Otop(tc_fun(_u13596, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13597, tc_HOL_Obool)), _u13599), hAPP(c_Set_Oimage(_u13596, _u13597, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13596, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13596, _u13597, _u13598), _u13599)), _u13600)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13609), _u13611)) | ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13613), _u13611)) | ( hAPP(c_Set_Ovimage(_u13615, _u13607, hAPP(hAPP(c_COMBC(_u13615, _u13607, _u13607), hAPP(hAPP(c_COMBC(_u13615, _u13607, tc_fun(_u13607, _u13607)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13607, tc_fun(_u13607, _u13607)), _u13615), c_If(_u13607)), hAPP(hAPP(c_COMBC(_u13615, tc_fun(_u13615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13615)), _u13617))), _u13609)), _u13613)), _u13611) = c_Orderings_Otop__class_Otop(tc_fun(_u13615, tc_HOL_Obool))) )).
% 12.32/12.51 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13609), _u13611)) | hBOOL(hAPP(hAPP(c_member(_u13607), _u13613), _u13611)) | ( hAPP(c_Set_Ovimage(_u13615, _u13607, hAPP(hAPP(c_COMBC(_u13615, _u13607, _u13607), hAPP(hAPP(c_COMBC(_u13615, _u13607, tc_fun(_u13607, _u13607)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13607, tc_fun(_u13607, _u13607)), _u13615), c_If(_u13607)), hAPP(hAPP(c_COMBC(_u13615, tc_fun(_u13615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13615)), _u13617))), _u13609)), _u13613)), _u13611) = _u13617) )).
% 12.32/12.51 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13608), _u13610), _u13612)) | ~hBOOL(hAPP(hAPP(c_member(_u13608), _u13614), _u13612)) | ( hAPP(c_Set_Ovimage(_u13616, _u13608, hAPP(hAPP(c_COMBC(_u13616, _u13608, _u13608), hAPP(hAPP(c_COMBC(_u13616, _u13608, tc_fun(_u13608, _u13608)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13608, tc_fun(_u13608, _u13608)), _u13616), c_If(_u13608)), hAPP(hAPP(c_COMBC(_u13616, tc_fun(_u13616, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13616)), _u13618))), _u13610)), _u13614)), _u13612) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13616, tc_HOL_Obool)), _u13618)) )).
% 12.32/12.51 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13608), _u13610), _u13612)) | hBOOL(hAPP(hAPP(c_member(_u13608), _u13614), _u13612)) | ( hAPP(c_Set_Ovimage(_u13616, _u13608, hAPP(hAPP(c_COMBC(_u13616, _u13608, _u13608), hAPP(hAPP(c_COMBC(_u13616, _u13608, tc_fun(_u13608, _u13608)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13608, tc_fun(_u13608, _u13608)), _u13616), c_If(_u13608)), hAPP(hAPP(c_COMBC(_u13616, tc_fun(_u13616, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13616)), _u13618))), _u13610)), _u13614)), _u13612) = c_Orderings_Obot__class_Obot(tc_fun(_u13616, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13620), _u13624)) | ( hAPP(hAPP(_u13623, _u13625), _u13624) = _u13622) | ~c_Big__Operators_Ocomm__monoid__big(_u13619, _u13620, _u13621, _u13622, _u13623) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u13628) | ( hAPP(_u13629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13628), skolem284(_u13630, _u13629, _u13628)), skolem285(_u13630, _u13629, _u13628))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13628), hAPP(_u13629, skolem284(_u13630, _u13629, _u13628))), hAPP(_u13629, skolem285(_u13630, _u13629, _u13628)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13628), _u13630)) | ( _u13630 = c_Orderings_Obot__class_Obot(tc_fun(_u13628, tc_HOL_Obool))) | ( hAPP(_u13629, c_Big__Operators_Olattice__class_OInf__fin(_u13628, _u13630)) = c_Big__Operators_Olattice__class_OInf__fin(_u13628, hAPP(c_Set_Oimage(_u13628, _u13628, _u13629), _u13630))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13632), _u13633), hAPP(c_Relation_OImage(_u13634, _u13632, _u13635), _u13636))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13634, _u13632)), hAPP(hAPP(c_Product__Type_OPair(_u13634, _u13632), skolem286(_u13636, _u13635, _u13634, _u13633, _u13632)), _u13633)), _u13635)) )).
% 12.32/12.51 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13632), _u13633), hAPP(c_Relation_OImage(_u13634, _u13632, _u13635), _u13636))) | hBOOL(hAPP(hAPP(c_member(_u13634), skolem286(_u13636, _u13635, _u13634, _u13633, _u13632)), _u13636)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13638) | ~c_Fun_Oinj__on(_u13639, _u13640, _u13641, _u13642) | ( _u13643 != hAPP(c_Set_Oimage(_u13639, _u13640, _u13641), _u13642)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13640, _u13638), _u13645), _u13643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13639, _u13638), _u13644), _u13642)) | hBOOL(hAPP(hAPP(c_member(_u13639), skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638)), _u13642)) )).
% 12.32/12.51 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13638) | ~c_Fun_Oinj__on(_u13639, _u13640, _u13641, _u13642) | ( _u13643 != hAPP(c_Set_Oimage(_u13639, _u13640, _u13641), _u13642)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13640, _u13638), _u13645), _u13643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13639, _u13638), _u13644), _u13642)) | ( hAPP(_u13644, skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638)) != hAPP(hAPP(c_Fun_Ocomp(_u13640, _u13638, _u13639, _u13645), _u13641), skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13647) | ~class_Groups_Ocomm__monoid__mult(_u13647) | ( _u13648 != _u13649) | ~c_Nat__Transfer_Onat__set(_u13649) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13650), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13651), _u13649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem288(_u13651, _u13650, _u13649, _u13648, _u13647))) )).
% 12.32/12.51 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13647) | ~class_Groups_Ocomm__monoid__mult(_u13647) | ( _u13648 != _u13649) | ~c_Nat__Transfer_Onat__set(_u13649) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13650), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13651), _u13649)) | ( hAPP(_u13650, skolem288(_u13651, _u13650, _u13649, _u13648, _u13647)) != hAPP(_u13651, skolem288(_u13651, _u13650, _u13649, _u13648, _u13647))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__eq__singleton__conv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__eq__singleton__conv-1, axiom, ( ( c_Map_Odom(_u13658, _u13660, _u13662) != hAPP(hAPP(c_Set_Oinsert(_u13658), _u13664), c_Orderings_Obot__class_Obot(tc_fun(_u13658, tc_HOL_Obool)))) | ( _u13662 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13658, tc_Option_Ooption(_u13660)), hAPP(c_COMBK(tc_Option_Ooption(_u13660), _u13658), c_Option_Ooption_ONone(_u13660))), _u13664), hAPP(c_Option_Ooption_OSome(_u13660), skolem289(_u13664, _u13662, _u13660, _u13658)))) )).
% 12.32/12.51 cnf(fact_dom__eq__singleton__conv-2, axiom, ( ( _u13663 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13659, tc_Option_Ooption(_u13661)), hAPP(c_COMBK(tc_Option_Ooption(_u13661), _u13659), c_Option_Ooption_ONone(_u13661))), _u13665), hAPP(c_Option_Ooption_OSome(_u13661), _u13653))) | ( c_Map_Odom(_u13659, _u13661, _u13663) = hAPP(hAPP(c_Set_Oinsert(_u13659), _u13665), c_Orderings_Obot__class_Obot(tc_fun(_u13659, tc_HOL_Obool)))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13666) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13666, _u13666, c_Groups_Otimes__class_Otimes(_u13666), _u13667, _u13668), _u13669)) | ~hBOOL(hAPP(hAPP(c_member(_u13666), _u13670), _u13668)) | hBOOL(hAPP(hAPP(c_member(_u13666), _u13667), _u13668)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13666, _u13666, c_Groups_Otimes__class_Otimes(_u13666), _u13670, hAPP(hAPP(c_Set_Oinsert(_u13666), _u13667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13666, tc_HOL_Obool)), _u13668), hAPP(hAPP(c_Set_Oinsert(_u13666), _u13670), c_Orderings_Obot__class_Obot(tc_fun(_u13666, tc_HOL_Obool)))))), _u13669)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13671, _u13672, _u13673, _u13674, c_Orderings_Obot__class_Obot(tc_fun(_u13671, tc_HOL_Obool))), _u13674)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13675, _u13676, _u13677, _u13678, c_Orderings_Obot__class_Obot(tc_fun(_u13675, tc_HOL_Obool))), _u13678)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u13683 = _u13682) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13679, _u13680, _u13681, _u13682, c_Orderings_Obot__class_Obot(tc_fun(_u13679, tc_HOL_Obool))), _u13683)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_finite__dom__body ( axiom ) converted to clauses:
% 12.32/12.51 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))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13684, _u13685, _u13686, _u13687, _u13688), _u13689)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13684), _u13688)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_domIff ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_domIff-1, axiom, ( ( hAPP(_u13700, _u13696) != c_Option_Ooption_ONone(_u13698)) | ~hBOOL(hAPP(hAPP(c_member(_u13694), _u13696), c_Map_Odom(_u13694, _u13698, _u13700))) )).
% 12.32/12.51 cnf(fact_domIff-2, axiom, ( ( hAPP(_u13701, _u13697) = c_Option_Ooption_ONone(_u13699)) | hBOOL(hAPP(hAPP(c_member(_u13695), _u13697), c_Map_Odom(_u13695, _u13699, _u13701))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_domI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_domI-1, axiom, ( ( hAPP(_u13702, _u13703) != hAPP(c_Option_Ooption_OSome(_u13704), _u13705)) | hBOOL(hAPP(hAPP(c_member(_u13706), _u13703), c_Map_Odom(_u13706, _u13704, _u13702))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_insert__dom ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_insert__dom-1, axiom, ( ( hAPP(_u13707, _u13708) != hAPP(c_Option_Ooption_OSome(_u13709), _u13710)) | ( hAPP(hAPP(c_Set_Oinsert(_u13711), _u13708), c_Map_Odom(_u13711, _u13709, _u13707)) = c_Map_Odom(_u13711, _u13709, _u13707)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__restrict ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__restrict-1, axiom, ( ( c_Map_Odom(_u13712, _u13713, c_Map_Orestrict__map(_u13712, _u13713, _u13714, _u13715)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13712, tc_HOL_Obool)), c_Map_Odom(_u13712, _u13713, _u13714)), _u13715)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13716), _u13717), _u13718)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13716, _u13719, _u13720, _u13721, _u13718), _u13722)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13716, _u13719, _u13720, _u13721, hAPP(hAPP(c_Set_Oinsert(_u13716), _u13717), _u13718)), hAPP(hAPP(_u13720, _u13717), _u13722))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__eq__empty__conv ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__eq__empty__conv-1, axiom, ( ( c_Map_Odom(_u13726, _u13728, _u13730) != c_Orderings_Obot__class_Obot(tc_fun(_u13726, tc_HOL_Obool))) | ( _u13730 = hAPP(c_COMBK(tc_Option_Ooption(_u13728), _u13726), c_Option_Ooption_ONone(_u13728))) )).
% 12.32/12.51 cnf(fact_dom__eq__empty__conv-2, axiom, ( ( _u13731 != hAPP(c_COMBK(tc_Option_Ooption(_u13729), _u13727), c_Option_Ooption_ONone(_u13729))) | ( c_Map_Odom(_u13727, _u13729, _u13731) = c_Orderings_Obot__class_Obot(tc_fun(_u13727, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__empty ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__empty-1, axiom, ( ( c_Map_Odom(_u13732, _u13733, hAPP(c_COMBK(tc_Option_Ooption(_u13733), _u13732), c_Option_Ooption_ONone(_u13733))) = c_Orderings_Obot__class_Obot(tc_fun(_u13732, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__const ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__const-1, axiom, ( ( c_Map_Odom(_u13734, _u13735, hAPP(hAPP(c_COMBB(_u13735, tc_Option_Ooption(_u13735), _u13734), c_Option_Ooption_OSome(_u13735)), _u13736)) = c_Orderings_Otop__class_Otop(tc_fun(_u13734, tc_HOL_Obool))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__minus ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__minus-1, axiom, ( ( hAPP(_u13737, _u13738) != c_Option_Ooption_ONone(_u13739)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13740, tc_HOL_Obool)), c_Map_Odom(_u13740, _u13739, _u13737)), hAPP(hAPP(c_Set_Oinsert(_u13740), _u13738), _u13741)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13740, tc_HOL_Obool)), c_Map_Odom(_u13740, _u13739, _u13737)), _u13741)) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13742) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13742, _u13742, c_Groups_Otimes__class_Otimes(_u13742), _u13743, _u13744), _u13745)) | hBOOL(hAPP(hAPP(c_member(_u13742), _u13743), _u13744)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13742, _u13742, c_Groups_Otimes__class_Otimes(_u13742), _u13746, hAPP(hAPP(c_Set_Oinsert(_u13742), _u13743), _u13744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13742), _u13746), _u13745))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13747, _u13748, _u13749, _u13750, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13747, tc_HOL_Obool)), _u13751), hAPP(hAPP(c_Set_Oinsert(_u13747), _u13752), c_Orderings_Obot__class_Obot(tc_fun(_u13747, tc_HOL_Obool))))), _u13753)) | ~hBOOL(hAPP(hAPP(c_member(_u13747), _u13752), _u13751)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13747, _u13748, _u13749, _u13750, _u13751), hAPP(hAPP(_u13749, _u13752), _u13753))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_dom__fun__upd ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_dom__fun__upd-1, axiom, ( ( _u13759 != c_Option_Ooption_ONone(_u13761)) | ( c_Map_Odom(_u13763, _u13761, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13763, tc_Option_Ooption(_u13761)), _u13765), _u13767), _u13759)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13763, tc_HOL_Obool)), c_Map_Odom(_u13763, _u13761, _u13765)), hAPP(hAPP(c_Set_Oinsert(_u13763), _u13767), c_Orderings_Obot__class_Obot(tc_fun(_u13763, tc_HOL_Obool))))) )).
% 12.32/12.51 cnf(fact_dom__fun__upd-2, axiom, ( ( _u13760 = c_Option_Ooption_ONone(_u13762)) | ( c_Map_Odom(_u13764, _u13762, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13764, tc_Option_Ooption(_u13762)), _u13766), _u13768), _u13760)) = hAPP(hAPP(c_Set_Oinsert(_u13764), _u13768), c_Map_Odom(_u13764, _u13762, _u13766))) )).
% 12.32/12.51
% 12.32/12.51 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 12.32/12.51 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13769, _u13769, _u13770, _u13771, _u13772), _u13773)) | hBOOL(hAPP(hAPP(c_member(_u13769), _u13771), _u13772)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13769, _u13770, hAPP(hAPP(c_Set_Oinsert(_u13769), _u13771), _u13772)), _u13773)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_ran__restrictD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_ran__restrictD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13775), _u13776), c_Map_Oran(_u13777, _u13775, c_Map_Orestrict__map(_u13777, _u13775, _u13778, _u13779)))) | hBOOL(hAPP(hAPP(c_member(_u13777), skolem290(_u13779, _u13778, _u13777, _u13776, _u13775)), _u13779)) )).
% 12.32/12.52 cnf(fact_ran__restrictD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13775), _u13776), c_Map_Oran(_u13777, _u13775, c_Map_Orestrict__map(_u13777, _u13775, _u13778, _u13779)))) | ( hAPP(_u13778, skolem290(_u13779, _u13778, _u13777, _u13776, _u13775)) = hAPP(c_Option_Ooption_OSome(_u13775), _u13776)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13783, hAPP(hAPP(c_COMBC(_u13783, tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_fun(_u13783, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13783, tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_fun(_u13783, tc_HOL_Obool)), _u13783), c_COMBC(_u13783, tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13783, tc_prod(_u13783, _u13783)), tc_fun(_u13783, tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), _u13783), hAPP(c_COMBB(tc_prod(_u13783, _u13783), tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool), _u13783), c_member(tc_prod(_u13783, _u13783)))), c_Product__Type_OPair(_u13783, _u13783)))), _u13785)), _u13787)) | hBOOL(hAPP(hAPP(c_member(_u13783), _u13787), c_Wellfounded_Oacc(_u13783, _u13785))) )).
% 12.32/12.52 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13784), _u13788), c_Wellfounded_Oacc(_u13784, _u13786))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13784, hAPP(hAPP(c_COMBC(_u13784, tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_fun(_u13784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13784, tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_fun(_u13784, tc_HOL_Obool)), _u13784), c_COMBC(_u13784, tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13784, tc_prod(_u13784, _u13784)), tc_fun(_u13784, tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), _u13784), hAPP(c_COMBB(tc_prod(_u13784, _u13784), tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool), _u13784), c_member(tc_prod(_u13784, _u13784)))), c_Product__Type_OPair(_u13784, _u13784)))), _u13786)), _u13788)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13789, _u13790, _u13791), _u13792)) | ( _u13791 != c_Orderings_Obot__class_Obot(tc_fun(_u13789, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13793, _u13794, c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool))), _u13795)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13796, _u13796), tc_HOL_Obool)), _u13797), _u13798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13796, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13796, _u13798)), c_Wellfounded_Oacc(_u13796, _u13797))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1Set__sing-1, axiom, ( ( _u13807 = _u13809) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13803, _u13805, hAPP(hAPP(c_Set_Oinsert(_u13803), _u13807), c_Orderings_Obot__class_Obot(tc_fun(_u13803, tc_HOL_Obool)))), _u13809)) )).
% 12.32/12.52 cnf(fact_fold1Set__sing-2, axiom, ( ( _u13808 != _u13810) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13804, _u13806, hAPP(hAPP(c_Set_Oinsert(_u13804), _u13808), c_Orderings_Obot__class_Obot(tc_fun(_u13804, tc_HOL_Obool)))), _u13810)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13816), _u13818), c_Wellfounded_Oacc(_u13816, _u13820))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13816, _u13816)), hAPP(hAPP(c_Product__Type_OPair(_u13816, _u13816), _u13811), _u13818)), _u13820)) | hBOOL(hAPP(hAPP(c_member(_u13816), _u13811), c_Wellfounded_Oacc(_u13816, _u13820))) )).
% 12.32/12.52 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13817), _u13819), c_Wellfounded_Oacc(_u13817, _u13821))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), skolem291(_u13821, _u13819, _u13817)), _u13819)), _u13821)) )).
% 12.32/12.52 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13817), _u13819), c_Wellfounded_Oacc(_u13817, _u13821))) | ~hBOOL(hAPP(hAPP(c_member(_u13817), skolem291(_u13821, _u13819, _u13817)), c_Wellfounded_Oacc(_u13817, _u13821))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13822), _u13823), c_Wellfounded_Oacc(_u13822, _u13824))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13825), _u13823)), _u13824)) | hBOOL(hAPP(hAPP(c_member(_u13822), _u13825), c_Wellfounded_Oacc(_u13822, _u13824))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13834), _u13838)) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13834), _u13840)) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ( _u13840 != c_Orderings_Obot__class_Obot(tc_fun(_u13834, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ~hBOOL(hAPP(hAPP(c_member(_u13834), _u13827), _u13838)) | hBOOL(hAPP(hAPP(c_member(_u13834), skolem292(_u13840, _u13838, _u13836, _u13834, _u13827)), _u13840)) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ~hBOOL(hAPP(hAPP(c_member(_u13834), _u13827), _u13838)) | hBOOL(hAPP(hAPP(_u13836, _u13827), skolem292(_u13840, _u13838, _u13836, _u13834, _u13827))) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u13835, _u13837, _u13839, _u13841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13839)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13841)) | ( _u13841 = c_Orderings_Obot__class_Obot(tc_fun(_u13835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13835), skolem293(_u13841, _u13839, _u13837, _u13835)), _u13839)) )).
% 12.32/12.52 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u13835, _u13837, _u13839, _u13841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13839)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13841)) | ( _u13841 = c_Orderings_Obot__class_Obot(tc_fun(_u13835, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13835), _u13828), _u13841)) | ~hBOOL(hAPP(hAPP(_u13837, skolem293(_u13841, _u13839, _u13837, _u13835)), _u13828)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13846)) | ( _u13846 = c_Orderings_Obot__class_Obot(tc_fun(_u13844, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool)), _u13845), _u13846)), c_Wellfounded_Omax__ext(_u13844, _u13847))) | hBOOL(hAPP(hAPP(c_member(_u13844), skolem294(_u13847, _u13846, _u13845, _u13844)), _u13845)) )).
% 12.32/12.52 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13846)) | ( _u13846 = c_Orderings_Obot__class_Obot(tc_fun(_u13844, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool)), _u13845), _u13846)), c_Wellfounded_Omax__ext(_u13844, _u13847))) | ~hBOOL(hAPP(hAPP(c_member(_u13844), _u13842), _u13846)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), skolem294(_u13847, _u13846, _u13845, _u13844)), _u13842)), _u13847)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13854)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13855)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u13854, skolem295(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850)), skolem296(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850))) )).
% 12.32/12.52 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13854)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13855)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u13855, skolem295(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850)), skolem296(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13860), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13863), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u13863, skolem297(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858)), skolem298(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858))) )).
% 12.32/12.52 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13860), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13863), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u13860, skolem297(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858)), skolem298(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | ( hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879) = hAPP(hAPP(c_Set_Oinsert(_u13873), skolem299(_u13881, _u13879, _u13877, _u13875, _u13873)), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873))) )).
% 12.32/12.52 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13873, _u13873, _u13875, skolem299(_u13881, _u13879, _u13877, _u13875, _u13873), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873)), _u13881)) )).
% 12.32/12.52 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | ~hBOOL(hAPP(hAPP(c_member(_u13873), skolem299(_u13881, _u13879, _u13877, _u13875, _u13873)), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873))) )).
% 12.32/12.52 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13874), _u13878), _u13880) != hAPP(hAPP(c_Set_Oinsert(_u13874), _u13867), _u13866)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13874, _u13874, _u13876, _u13867, _u13866), _u13882)) | hBOOL(hAPP(hAPP(c_member(_u13874), _u13867), _u13866)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13874, _u13876, hAPP(hAPP(c_Set_Oinsert(_u13874), _u13878), _u13880)), _u13882)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | ( hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888) = hAPP(hAPP(c_Set_Oinsert(_u13885), skolem301(_u13889, _u13888, _u13887, _u13886, _u13885)), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885))) )).
% 12.32/12.52 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13885, _u13885, _u13886, skolem301(_u13889, _u13888, _u13887, _u13886, _u13885), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885)), _u13889)) )).
% 12.32/12.52 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | ~hBOOL(hAPP(hAPP(c_member(_u13885), skolem301(_u13889, _u13888, _u13887, _u13886, _u13885)), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u13890, tc_prod(_u13891, _u13892), hAPP(hAPP(c_COMBS(_u13890, _u13892, tc_prod(_u13891, _u13892)), hAPP(hAPP(c_COMBB(_u13891, tc_fun(_u13892, tc_prod(_u13891, _u13892)), _u13890), c_Product__Type_OPair(_u13891, _u13892)), _u13893)), _u13894)), _u13895) = hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13892), hAPP(c_Set_Oimage(_u13890, _u13891, _u13893), _u13895)), hAPP(hAPP(c_COMBB(tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13892, tc_HOL_Obool), _u13891), c_Set_Oimage(_u13890, _u13892, _u13894)), hAPP(hAPP(c_COMBC(_u13891, tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13890, tc_HOL_Obool), tc_fun(tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool)), _u13891), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13890, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13891, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool), _u13891), c_Set_Ovimage(_u13890, _u13891, _u13893)), hAPP(hAPP(c_COMBC(_u13891, tc_fun(_u13891, tc_HOL_Obool), tc_fun(_u13891, tc_HOL_Obool)), c_Set_Oinsert(_u13891)), c_Orderings_Obot__class_Obot(tc_fun(_u13891, tc_HOL_Obool)))))), _u13895)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13897)) | ( _u13897 = c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13898)) | ( _u13898 = c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13896, tc_HOL_Obool)), _u13897), _u13898) != c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13896, tc_HOL_Obool)), _u13897), _u13898)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13896), hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), _u13897)), hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), _u13898))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u13899) | ( _u13900 = c_Orderings_Obot__class_Obot(tc_fun(_u13899, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13899, tc_HOL_Obool)), _u13900), _u13901)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13899), _u13901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13899), hAPP(c_Finite__Set_Ofold1(_u13899, c_Orderings_Oord__class_Omin(_u13899)), _u13901)), hAPP(c_Finite__Set_Ofold1(_u13899, c_Orderings_Oord__class_Omin(_u13899)), _u13900))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13902), _u13903), _u13904)) | ~hBOOL(hAPP(hAPP(c_member(_u13905), _u13906), hAPP(_u13907, _u13903))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13902, _u13905)), hAPP(hAPP(c_Product__Type_OPair(_u13902, _u13905), _u13903), _u13906)), hAPP(hAPP(c_Product__Type_OSigma(_u13902, _u13905), _u13904), _u13907))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13908, _u13909), c_Orderings_Obot__class_Obot(tc_fun(_u13908, tc_HOL_Obool))), _u13910) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13908, _u13909), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13911), _u13912), _u13913)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13915), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913)) != hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13916), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913))) | ( _u13915 = _u13916) )).
% 12.32/12.52 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13911), _u13912), _u13913)) | ( _u13915 != _u13916) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13915), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913)) = hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13916), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), hAPP(hAPP(c_COMBS(_u13917, tc_fun(_u13918, tc_HOL_Obool), tc_fun(_u13918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13918, tc_HOL_Obool), tc_fun(tc_fun(_u13918, tc_HOL_Obool), tc_fun(_u13918, tc_HOL_Obool)), _u13917), c_Groups_Ominus__class_Ominus(tc_fun(_u13918, tc_HOL_Obool))), _u13920)), _u13921)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13917, _u13918), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), _u13920)), hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), _u13921))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13922, tc_HOL_Obool)), _u13924), _u13925)), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13922, _u13923), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926))), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13925), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13927, tc_HOL_Obool)), _u13929), _u13930)), _u13931) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13927, _u13928), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13929), _u13931)), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13930), _u13931))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13932, _u13933)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13934), hAPP(c_COMBK(tc_fun(_u13933, tc_HOL_Obool), _u13932), _u13935))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13932), _u13934)), hAPP(c_Finite__Set_Ocard(_u13933), _u13935))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13936) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13937, _u13936), hAPP(hAPP(c_COMBC(_u13937, tc_fun(_u13938, tc_HOL_Obool), _u13936), hAPP(hAPP(c_COMBB(tc_fun(_u13938, _u13936), tc_fun(tc_fun(_u13938, tc_HOL_Obool), _u13936), _u13937), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13938, _u13936)), _u13939)), _u13940)), _u13941) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13937, _u13938), _u13936), hAPP(c_Product__Type_Oprod_Oprod__case(_u13937, _u13938, _u13936), _u13939)), hAPP(hAPP(c_Product__Type_OSigma(_u13937, _u13938), _u13941), hAPP(c_COMBK(tc_fun(_u13938, tc_HOL_Obool), _u13937), _u13940)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13942, _u13943), _u13944), hAPP(c_COMBK(tc_fun(_u13943, tc_HOL_Obool), _u13942), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13942, _u13943), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13949, _u13951), _u13953), hAPP(c_COMBK(tc_fun(_u13951, tc_HOL_Obool), _u13949), _u13955)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13949, _u13951), tc_HOL_Obool))) | ( _u13953 = c_Orderings_Obot__class_Obot(tc_fun(_u13949, tc_HOL_Obool))) | ( _u13955 = c_Orderings_Obot__class_Obot(tc_fun(_u13951, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13950, _u13952), _u13954), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13956)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13950, _u13952), tc_HOL_Obool))) | ( _u13954 != c_Orderings_Obot__class_Obot(tc_fun(_u13950, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13950, _u13952), _u13954), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13956)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13950, _u13952), tc_HOL_Obool))) | ( _u13956 != c_Orderings_Obot__class_Obot(tc_fun(_u13952, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13957, _u13958), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13957, _u13958), c_Orderings_Otop__class_Otop(tc_fun(_u13957, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13958, tc_HOL_Obool), _u13957), _u13959))) = hAPP(hAPP(c_Product__Type_OSigma(_u13957, _u13958), c_Orderings_Otop__class_Otop(tc_fun(_u13957, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13958, tc_HOL_Obool), _u13957), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13958, tc_HOL_Obool)), _u13959)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13960, _u13961), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13960, _u13961), _u13962), hAPP(c_COMBK(tc_fun(_u13961, tc_HOL_Obool), _u13960), c_Orderings_Otop__class_Otop(tc_fun(_u13961, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13960, _u13961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13960, tc_HOL_Obool)), _u13962)), hAPP(c_COMBK(tc_fun(_u13961, tc_HOL_Obool), _u13960), c_Orderings_Otop__class_Otop(tc_fun(_u13961, tc_HOL_Obool))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13963) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13964, _u13963), hAPP(hAPP(c_COMBC(_u13964, tc_fun(_u13965, tc_HOL_Obool), _u13963), hAPP(hAPP(c_COMBB(tc_fun(_u13965, _u13963), tc_fun(tc_fun(_u13965, tc_HOL_Obool), _u13963), _u13964), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13965, _u13963)), _u13966)), _u13967)), _u13968) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13964, _u13965), _u13963), hAPP(c_Product__Type_Oprod_Oprod__case(_u13964, _u13965, _u13963), _u13966)), hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13965), _u13968), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13964), _u13967)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), hAPP(hAPP(c_COMBS(_u13969, tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_fun(tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool)), _u13969), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13970, tc_HOL_Obool))), _u13972)), _u13973)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13969, _u13970), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), _u13972)), hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), _u13973))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13974, tc_HOL_Obool)), _u13976), _u13977)), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13974, _u13975), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), _u13976), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978))), hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), _u13977), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13979, tc_HOL_Obool)), _u13981), _u13982)), _u13983) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13979, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), _u13981), _u13983)), hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), _u13982), _u13983))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13984, _u13985), tc_prod(_u13985, _u13984), hAPP(c_Product__Type_Oprod_Oprod__case(_u13984, _u13985, tc_prod(_u13985, _u13984)), hAPP(c_COMBC(_u13985, _u13984, tc_prod(_u13985, _u13984)), c_Product__Type_OPair(_u13985, _u13984)))), hAPP(hAPP(c_Product__Type_OSigma(_u13984, _u13985), _u13986), hAPP(c_COMBK(tc_fun(_u13985, tc_HOL_Obool), _u13984), _u13987))) = hAPP(hAPP(c_Product__Type_OSigma(_u13985, _u13984), _u13987), hAPP(c_COMBK(tc_fun(_u13984, tc_HOL_Obool), _u13985), _u13986))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u13988, _u13989), hAPP(hAPP(c_Set_Oinsert(_u13988), _u13990), c_Orderings_Obot__class_Obot(tc_fun(_u13988, tc_HOL_Obool)))) = _u13990) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u13991 != c_Finite__Set_Ofold1(_u13992, _u13993)) | ( hAPP(_u13991, hAPP(hAPP(c_Set_Oinsert(_u13992), _u13994), c_Orderings_Obot__class_Obot(tc_fun(_u13992, tc_HOL_Obool)))) = _u13994) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13995), _u13996)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13997), _u13998)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13995, _u13997)), hAPP(hAPP(c_Product__Type_OSigma(_u13995, _u13997), _u13996), hAPP(c_COMBK(tc_fun(_u13997, tc_HOL_Obool), _u13995), _u13998)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13999, _u14000, _u14001) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13999, _u13999), tc_HOL_Obool)), _u14001), hAPP(hAPP(c_Product__Type_OSigma(_u13999, _u13999), _u14000), hAPP(c_COMBK(tc_fun(_u13999, tc_HOL_Obool), _u13999), _u14000)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14002, tc_HOL_Obool)), _u14004), _u14005)), _u14006) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), _u14004), _u14006)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), _u14005), _u14006))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14007, tc_HOL_Obool)), _u14009), _u14010)), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14007, _u14008), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), _u14009), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011))), hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), _u14010), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), hAPP(hAPP(c_COMBS(_u14012, tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14013, tc_HOL_Obool), tc_fun(tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), _u14012), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14013, tc_HOL_Obool))), _u14015)), _u14016)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14012, _u14013), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), _u14015)), hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), _u14016))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14017, _u14017), tc_HOL_Obool)), c_Relation_OId__on(_u14017, _u14018)), hAPP(hAPP(c_Product__Type_OSigma(_u14017, _u14017), _u14018), hAPP(c_COMBK(tc_fun(_u14017, tc_HOL_Obool), _u14017), _u14018)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), c_Orderings_Otop__class_Otop(tc_fun(_u14019, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u14020, tc_HOL_Obool), _u14019), c_Orderings_Otop__class_Otop(tc_fun(_u14020, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14019, _u14020), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14027, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14027, _u14029), _u14031), _u14033)), hAPP(hAPP(c_Product__Type_OSigma(_u14027, _u14029), _u14035), _u14037))) | hBOOL(hAPP(hAPP(c_member(_u14027), _u14031), _u14035)) )).
% 12.32/12.52 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14027, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14027, _u14029), _u14031), _u14033)), hAPP(hAPP(c_Product__Type_OSigma(_u14027, _u14029), _u14035), _u14037))) | hBOOL(hAPP(hAPP(c_member(_u14029), _u14033), hAPP(_u14037, _u14031))) )).
% 12.32/12.52 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14028), _u14032), _u14036)) | ~hBOOL(hAPP(hAPP(c_member(_u14030), _u14034), hAPP(_u14038, _u14032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14028, _u14030)), hAPP(hAPP(c_Product__Type_OPair(_u14028, _u14030), _u14032), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14028, _u14030), _u14036), _u14038))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14039, _u14040), _u14041), _u14042)), hAPP(hAPP(c_Product__Type_OSigma(_u14039, _u14040), _u14043), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14039), _u14041), _u14043)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14046), _u14048), hAPP(_u14050, _u14047))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14045, _u14046)), hAPP(hAPP(c_Product__Type_OPair(_u14045, _u14046), _u14047), _u14048)), hAPP(hAPP(c_Product__Type_OSigma(_u14045, _u14046), _u14049), _u14050))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14051, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14051, _u14052), _u14053), _u14054)), hAPP(hAPP(c_Product__Type_OSigma(_u14051, _u14052), _u14055), _u14056))) | hBOOL(hAPP(hAPP(c_member(_u14051), _u14053), _u14055)) )).
% 12.32/12.52 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14051, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14051, _u14052), _u14053), _u14054)), hAPP(hAPP(c_Product__Type_OSigma(_u14051, _u14052), _u14055), _u14056))) | hBOOL(hAPP(hAPP(c_member(_u14052), _u14054), hAPP(_u14056, _u14053))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14057, _u14058, _u14059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14057), _u14060)) | ( hAPP(_u14059, _u14060) = hAPP(c_Finite__Set_Ofold1(_u14057, _u14058), _u14060)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14061, _u14062)), hAPP(hAPP(c_Product__Type_OSigma(_u14061, _u14062), hAPP(hAPP(c_Set_Oinsert(_u14061), _u14063), c_Orderings_Obot__class_Obot(tc_fun(_u14061, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u14062, tc_HOL_Obool), _u14061), _u14064))) = hAPP(c_Finite__Set_Ocard(_u14062), _u14064)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14065), _u14066), _u14067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14068, _u14065), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14069), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067))), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14070), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14068, tc_HOL_Obool)), _u14069), _u14070)) )).
% 12.32/12.52 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14065), _u14066), _u14067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14068, tc_HOL_Obool)), _u14069), _u14070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14068, _u14065), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14069), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067))), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14070), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14072), tc_HOL_Obool)), _u14073), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14072), _u14074), hAPP(c_COMBK(tc_fun(_u14072, tc_HOL_Obool), _u14071), _u14075)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14072, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14071, _u14072, _u14073), _u14076)), _u14075)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14077, _u14078)), hAPP(hAPP(c_Product__Type_OSigma(_u14077, _u14078), _u14079), hAPP(c_COMBK(tc_fun(_u14078, tc_HOL_Obool), _u14077), _u14080)))) | ( _u14080 = c_Orderings_Obot__class_Obot(tc_fun(_u14078, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14077), _u14079)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14081, _u14082)), hAPP(hAPP(c_Product__Type_OSigma(_u14081, _u14082), _u14083), hAPP(c_COMBK(tc_fun(_u14082, tc_HOL_Obool), _u14081), _u14084)))) | ( _u14083 = c_Orderings_Obot__class_Obot(tc_fun(_u14081, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14082), _u14084)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fst__image__times-1, axiom, ( ( _u14089 != c_Orderings_Obot__class_Obot(tc_fun(_u14091, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14093, _u14091), _u14093, c_Product__Type_Ofst(_u14093, _u14091)), hAPP(hAPP(c_Product__Type_OSigma(_u14093, _u14091), _u14095), hAPP(c_COMBK(tc_fun(_u14091, tc_HOL_Obool), _u14093), _u14089))) = c_Orderings_Obot__class_Obot(tc_fun(_u14093, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_fst__image__times-2, axiom, ( ( _u14090 = c_Orderings_Obot__class_Obot(tc_fun(_u14092, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14094, _u14092), _u14094, c_Product__Type_Ofst(_u14094, _u14092)), hAPP(hAPP(c_Product__Type_OSigma(_u14094, _u14092), _u14096), hAPP(c_COMBK(tc_fun(_u14092, tc_HOL_Obool), _u14094), _u14090))) = _u14096) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_snd__image__times-1, axiom, ( ( _u14101 != c_Orderings_Obot__class_Obot(tc_fun(_u14103, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14103, _u14105), _u14105, c_Product__Type_Osnd(_u14103, _u14105)), hAPP(hAPP(c_Product__Type_OSigma(_u14103, _u14105), _u14101), hAPP(c_COMBK(tc_fun(_u14105, tc_HOL_Obool), _u14103), _u14107))) = c_Orderings_Obot__class_Obot(tc_fun(_u14105, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_snd__image__times-2, axiom, ( ( _u14102 = c_Orderings_Obot__class_Obot(tc_fun(_u14104, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14104, _u14106), _u14106, c_Product__Type_Osnd(_u14104, _u14106)), hAPP(hAPP(c_Product__Type_OSigma(_u14104, _u14106), _u14102), hAPP(c_COMBK(tc_fun(_u14106, tc_HOL_Obool), _u14104), _u14108))) = _u14108) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u14109, _u14110), _u14111) = c_HOL_OThe(_u14109, c_Finite__Set_Ofold1Set(_u14109, _u14110, _u14111))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14112), _u14113)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14112, _u14113) = hAPP(c_Finite__Set_Ofold1(_u14112, c_Lattices_Osemilattice__sup__class_Osup(_u14112)), _u14113)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14114), _u14115)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14114, _u14115) = hAPP(c_Finite__Set_Ofold1(_u14114, c_Lattices_Osemilattice__inf__class_Oinf(_u14114)), _u14115)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14116), _u14117)) | ( c_Big__Operators_Olinorder__class_OMin(_u14116, _u14117) = hAPP(c_Finite__Set_Ofold1(_u14116, c_Orderings_Oord__class_Omin(_u14116)), _u14117)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14119)) | ( c_Big__Operators_Olinorder__class_OMax(_u14118, _u14119) = hAPP(c_Finite__Set_Ofold1(_u14118, c_Orderings_Oord__class_Omax(_u14118)), _u14119)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14120), _u14121)) | ( c_Big__Operators_Olattice_OInf__fin(_u14120, c_Orderings_Oord__class_Omin(_u14120), _u14121) = hAPP(c_Finite__Set_Ofold1(_u14120, c_Orderings_Oord__class_Omin(_u14120)), _u14121)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14122), _u14123)) | ( c_Big__Operators_Olattice_OSup__fin(_u14122, c_Orderings_Oord__class_Omax(_u14122), _u14123) = hAPP(c_Finite__Set_Ofold1(_u14122, c_Orderings_Oord__class_Omax(_u14122)), _u14123)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u14129, _u14131, _u14133) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14129, _u14129), tc_HOL_Obool)), _u14133), hAPP(hAPP(c_Product__Type_OSigma(_u14129, _u14129), _u14131), hAPP(c_COMBK(tc_fun(_u14129, tc_HOL_Obool), _u14129), _u14131)))) )).
% 12.32/12.52 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u14129, _u14131, _u14133) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14124), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14124), _u14124)), _u14133)) )).
% 12.32/12.52 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u14130, _u14132, _u14134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14130, _u14130), tc_HOL_Obool)), _u14134), hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14130), _u14132), hAPP(c_COMBK(tc_fun(_u14130, tc_HOL_Obool), _u14130), _u14132)))) | hBOOL(hAPP(hAPP(c_member(_u14130), skolem303(_u14134, _u14132, _u14130)), _u14132)) )).
% 12.32/12.52 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u14130, _u14132, _u14134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14130, _u14130), tc_HOL_Obool)), _u14134), hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14130), _u14132), hAPP(c_COMBK(tc_fun(_u14130, tc_HOL_Obool), _u14130), _u14132)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), skolem303(_u14134, _u14132, _u14130)), skolem303(_u14134, _u14132, _u14130))), _u14134)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), hAPP(hAPP(c_Set_Oinsert(_u14135), _u14137), _u14138)), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), hAPP(hAPP(c_Set_Oinsert(_u14136), _u14139), _u14140))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14135, _u14136)), hAPP(hAPP(c_Product__Type_OPair(_u14135, _u14136), _u14137), _u14139)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14135, _u14136), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), _u14138), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), hAPP(hAPP(c_Set_Oinsert(_u14136), _u14139), _u14140)))), hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), hAPP(hAPP(c_Set_Oinsert(_u14135), _u14137), _u14138)), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), _u14140))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14141), _u14142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14141, _u14141), tc_HOL_Obool)), _u14143), hAPP(hAPP(c_Product__Type_OSigma(_u14141, _u14141), _u14142), hAPP(c_COMBK(tc_fun(_u14141, tc_HOL_Obool), _u14141), _u14142)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14141, tc_HOL_Obool)), _u14144), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14141), _u14142), _u14143))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14141), _u14144)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u14145, _u14146), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14145, _u14146), _u14149), hAPP(c_COMBK(tc_fun(_u14146, tc_HOL_Obool), _u14145), _u14150))), hAPP(c_Product__Type_Oprod_Oprod__case(_u14145, _u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u14145, tc_fun(_u14146, tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool))), tc_fun(_u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), tc_fun(tc_fun(_u14146, tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool))), tc_fun(_u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool))), _u14145), c_COMBB(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool), _u14146)), hAPP(hAPP(c_COMBB(tc_fun(_u14147, tc_HOL_Obool), tc_fun(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), _u14145), c_Product__Type_OSigma(_u14147, _u14148)), _u14151))), hAPP(hAPP(c_COMBB(tc_fun(_u14148, tc_HOL_Obool), tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), _u14146), c_COMBK(tc_fun(_u14148, tc_HOL_Obool), _u14147)), _u14152)))) = hAPP(hAPP(c_Product__Type_OSigma(_u14147, _u14148), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14147, tc_HOL_Obool)), _u14149), _u14151)), hAPP(c_COMBK(tc_fun(_u14148, tc_HOL_Obool), _u14147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14146, tc_fun(_u14148, tc_HOL_Obool)), _u14150), _u14152)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14153, _u14154), _u14155), _u14156) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14153, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_COMBS(_u14153, tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_HOL_Obool), tc_fun(tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14153), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14156)), hAPP(hAPP(c_COMBC(_u14153, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14153), c_COMBC(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_prod(_u14153, _u14154)), tc_fun(_u14154, tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14153), hAPP(c_COMBB(tc_prod(_u14153, _u14154), tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14154), c_Set_Oinsert(tc_prod(_u14153, _u14154)))), c_Product__Type_OPair(_u14153, _u14154)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14157), _u14158)) | ~hBOOL(hAPP(hAPP(c_member(_u14157), _u14159), _u14158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14157), hAPP(c_Finite__Set_Ofold1(_u14157, c_Lattices_Osemilattice__inf__class_Oinf(_u14157)), _u14158)), _u14159)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14160), _u14161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14160, _u14160), tc_HOL_Obool)), _u14162), hAPP(hAPP(c_Product__Type_OSigma(_u14160, _u14160), _u14161), hAPP(c_COMBK(tc_fun(_u14160, tc_HOL_Obool), _u14160), _u14161)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14160, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14160), _u14161), _u14162))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | ~hBOOL(hAPP(hAPP(c_member(_u14165), _u14163), _u14166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), _u14163)) )).
% 12.32/12.52 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | hBOOL(hAPP(hAPP(c_member(_u14165), skolem304(_u14167, _u14166, _u14165)), _u14166)) )).
% 12.32/12.52 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), skolem304(_u14167, _u14166, _u14165))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14168), _u14169)) | ~hBOOL(hAPP(hAPP(c_member(_u14168), _u14170), _u14169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14168), hAPP(c_Finite__Set_Ofold1(_u14168, c_Orderings_Oord__class_Omin(_u14168)), _u14169)), _u14170)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14171) | ( _u14172 = c_Orderings_Obot__class_Obot(tc_fun(_u14171, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14171), _u14172)) | ( hAPP(c_Finite__Set_Ofold1(_u14171, c_Groups_Otimes__class_Otimes(_u14171)), hAPP(hAPP(c_Set_Oinsert(_u14171), _u14173), _u14172)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14171), _u14173), hAPP(c_Finite__Set_Ofold1(_u14171, c_Groups_Otimes__class_Otimes(_u14171)), _u14172))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | ~hBOOL(hAPP(hAPP(c_member(_u14176), _u14174), _u14177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), _u14174)) )).
% 12.32/12.52 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | hBOOL(hAPP(hAPP(c_member(_u14176), skolem305(_u14178, _u14177, _u14176)), _u14177)) )).
% 12.32/12.52 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), skolem305(_u14178, _u14177, _u14176))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) | hBOOL(hAPP(hAPP(c_member(_u14181), skolem306(_u14183, _u14182, _u14181)), _u14182)) )).
% 12.32/12.52 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), skolem306(_u14183, _u14182, _u14181)), _u14183)) )).
% 12.32/12.52 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), _u14180), _u14182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), _u14180), _u14183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14184), _u14185)) | ( _u14185 = c_Orderings_Obot__class_Obot(tc_fun(_u14184, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14184), _u14186)) | ( _u14186 = c_Orderings_Obot__class_Obot(tc_fun(_u14184, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14184, tc_HOL_Obool)), _u14185), _u14186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14184), hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), _u14185)), hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), _u14186))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) | hBOOL(hAPP(hAPP(c_member(_u14189), skolem307(_u14191, _u14190, _u14189)), _u14190)) )).
% 12.32/12.52 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), skolem307(_u14191, _u14190, _u14189)), _u14191)) )).
% 12.32/12.52 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14189), _u14188), _u14190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), _u14188), _u14191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | ~hBOOL(hAPP(hAPP(c_member(_u14194), _u14192), _u14195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), _u14192)) )).
% 12.32/12.52 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | hBOOL(hAPP(hAPP(c_member(_u14194), skolem308(_u14196, _u14195, _u14194)), _u14195)) )).
% 12.32/12.52 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), skolem308(_u14196, _u14195, _u14194))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14197, tc_prod(_u14198, _u14199), _u14200), hAPP(hAPP(c_Product__Type_OSigma(_u14198, _u14199), _u14201), hAPP(c_COMBK(tc_fun(_u14199, tc_HOL_Obool), _u14198), _u14202))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14197, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14197, _u14198, hAPP(c_Fun_Ocomp(tc_prod(_u14198, _u14199), _u14198, _u14197, c_Product__Type_Ofst(_u14198, _u14199)), _u14200)), _u14201)), hAPP(c_Set_Ovimage(_u14197, _u14199, hAPP(c_Fun_Ocomp(tc_prod(_u14198, _u14199), _u14199, _u14197, c_Product__Type_Osnd(_u14198, _u14199)), _u14200)), _u14202))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14203) | ( _u14204 = c_Orderings_Obot__class_Obot(tc_fun(_u14203, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14203), _u14204)) | hBOOL(hAPP(hAPP(c_member(_u14203), _u14205), _u14204)) | ( hAPP(c_Finite__Set_Ofold1(_u14203, c_Groups_Otimes__class_Otimes(_u14203)), hAPP(hAPP(c_Set_Oinsert(_u14203), _u14205), _u14204)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14203), _u14205), hAPP(c_Finite__Set_Ofold1(_u14203, c_Groups_Otimes__class_Otimes(_u14203)), _u14204))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u14206, _u14207, _u14208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14206), _u14209)) | ( hAPP(_u14208, _u14209) = hAPP(c_Finite__Set_Ofold1(_u14206, _u14207), _u14209)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u14211, tc_prod(_u14212, _u14211), skolem309(_u14214, _u14213, _u14212, _u14211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14212, tc_fun(_u14211, tc_HOL_Obool)), _u14213), _u14214)) )).
% 12.32/12.52 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14212, _u14211), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14211, tc_prod(_u14212, _u14211), skolem309(_u14214, _u14213, _u14212, _u14211)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14212, tc_fun(_u14211, tc_HOL_Obool)), _u14213), _u14214))), hAPP(hAPP(c_Product__Type_OSigma(_u14212, _u14211), _u14213), _u14214))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14216, _u14216), tc_HOL_Obool)), _u14217), hAPP(hAPP(c_Product__Type_OSigma(_u14216, _u14216), _u14218), hAPP(c_COMBK(tc_fun(_u14216, tc_HOL_Obool), _u14216), _u14218)))) | c_Relation_Orefl__on(_u14216, _u14218, _u14217) | hBOOL(hAPP(hAPP(c_member(_u14216), skolem310(_u14218, _u14217, _u14216)), _u14218)) )).
% 12.32/12.52 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14216, _u14216), tc_HOL_Obool)), _u14217), hAPP(hAPP(c_Product__Type_OSigma(_u14216, _u14216), _u14218), hAPP(c_COMBK(tc_fun(_u14216, tc_HOL_Obool), _u14216), _u14218)))) | c_Relation_Orefl__on(_u14216, _u14218, _u14217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), skolem310(_u14218, _u14217, _u14216)), skolem310(_u14218, _u14217, _u14216))), _u14217)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14221), _u14222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14221, _u14220), hAPP(hAPP(c_COMBS(_u14221, tc_fun(_u14223, tc_HOL_Obool), _u14220), hAPP(hAPP(c_COMBB(tc_fun(_u14223, _u14220), tc_fun(tc_fun(_u14223, tc_HOL_Obool), _u14220), _u14221), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14223, _u14220)), _u14225)), _u14224)), _u14222) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14221, _u14223), _u14220), hAPP(c_Product__Type_Oprod_Oprod__case(_u14221, _u14223, _u14220), _u14225)), hAPP(hAPP(c_Product__Type_OSigma(_u14221, _u14223), _u14222), _u14224))) | hBOOL(hAPP(hAPP(c_member(_u14221), skolem311(_u14225, _u14224, _u14223, _u14222, _u14221, _u14220)), _u14222)) )).
% 12.32/12.52 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14221), _u14222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14221, _u14220), hAPP(hAPP(c_COMBS(_u14221, tc_fun(_u14223, tc_HOL_Obool), _u14220), hAPP(hAPP(c_COMBB(tc_fun(_u14223, _u14220), tc_fun(tc_fun(_u14223, tc_HOL_Obool), _u14220), _u14221), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14223, _u14220)), _u14225)), _u14224)), _u14222) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14221, _u14223), _u14220), hAPP(c_Product__Type_Oprod_Oprod__case(_u14221, _u14223, _u14220), _u14225)), hAPP(hAPP(c_Product__Type_OSigma(_u14221, _u14223), _u14222), _u14224))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14223), hAPP(_u14224, skolem311(_u14225, _u14224, _u14223, _u14222, _u14221, _u14220)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14228), _u14229)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14228, _u14227), hAPP(hAPP(c_COMBS(_u14228, tc_fun(_u14230, tc_HOL_Obool), _u14227), hAPP(hAPP(c_COMBB(tc_fun(_u14230, _u14227), tc_fun(tc_fun(_u14230, tc_HOL_Obool), _u14227), _u14228), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14230, _u14227)), _u14232)), _u14231)), _u14229) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14228, _u14230), _u14227), hAPP(c_Product__Type_Oprod_Oprod__case(_u14228, _u14230, _u14227), _u14232)), hAPP(hAPP(c_Product__Type_OSigma(_u14228, _u14230), _u14229), _u14231))) | hBOOL(hAPP(hAPP(c_member(_u14228), skolem312(_u14232, _u14231, _u14230, _u14229, _u14228, _u14227)), _u14229)) )).
% 12.32/12.52 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14228), _u14229)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14228, _u14227), hAPP(hAPP(c_COMBS(_u14228, tc_fun(_u14230, tc_HOL_Obool), _u14227), hAPP(hAPP(c_COMBB(tc_fun(_u14230, _u14227), tc_fun(tc_fun(_u14230, tc_HOL_Obool), _u14227), _u14228), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14230, _u14227)), _u14232)), _u14231)), _u14229) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14228, _u14230), _u14227), hAPP(c_Product__Type_Oprod_Oprod__case(_u14228, _u14230, _u14227), _u14232)), hAPP(hAPP(c_Product__Type_OSigma(_u14228, _u14230), _u14229), _u14231))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14230), hAPP(_u14231, skolem312(_u14232, _u14231, _u14230, _u14229, _u14228, _u14227)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14235), _u14236)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, _u14235, c_Groups_Otimes__class_Otimes(_u14234)), hAPP(hAPP(c_COMBS(_u14235, tc_fun(_u14237, tc_HOL_Obool), _u14234), hAPP(hAPP(c_COMBC(_u14235, _u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), hAPP(hAPP(c_COMBB(tc_fun(_u14237, _u14234), tc_fun(_u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), _u14235), c_Finite__Set_Ofold__image(_u14234, _u14237, c_Groups_Otimes__class_Otimes(_u14234))), _u14239)), c_Groups_Oone__class_Oone(_u14234))), _u14238)), c_Groups_Oone__class_Oone(_u14234)), _u14236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, tc_prod(_u14235, _u14237), c_Groups_Otimes__class_Otimes(_u14234)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14235, _u14237, _u14234), _u14239)), c_Groups_Oone__class_Oone(_u14234)), hAPP(hAPP(c_Product__Type_OSigma(_u14235, _u14237), _u14236), _u14238))) | hBOOL(hAPP(hAPP(c_member(_u14235), skolem313(_u14239, _u14238, _u14237, _u14236, _u14235, _u14234)), _u14236)) )).
% 12.32/12.52 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14235), _u14236)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, _u14235, c_Groups_Otimes__class_Otimes(_u14234)), hAPP(hAPP(c_COMBS(_u14235, tc_fun(_u14237, tc_HOL_Obool), _u14234), hAPP(hAPP(c_COMBC(_u14235, _u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), hAPP(hAPP(c_COMBB(tc_fun(_u14237, _u14234), tc_fun(_u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), _u14235), c_Finite__Set_Ofold__image(_u14234, _u14237, c_Groups_Otimes__class_Otimes(_u14234))), _u14239)), c_Groups_Oone__class_Oone(_u14234))), _u14238)), c_Groups_Oone__class_Oone(_u14234)), _u14236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, tc_prod(_u14235, _u14237), c_Groups_Otimes__class_Otimes(_u14234)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14235, _u14237, _u14234), _u14239)), c_Groups_Oone__class_Oone(_u14234)), hAPP(hAPP(c_Product__Type_OSigma(_u14235, _u14237), _u14236), _u14238))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14237), hAPP(_u14238, skolem313(_u14239, _u14238, _u14237, _u14236, _u14235, _u14234)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14241), _u14242)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14241, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14241, _u14243), _u14242), _u14244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14241, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14243, tc_HOL_Obool), tc_Nat_Onat, _u14241), c_Finite__Set_Ocard(_u14243)), _u14244)), _u14242)) | hBOOL(hAPP(hAPP(c_member(_u14241), skolem314(_u14244, _u14243, _u14242, _u14241)), _u14242)) )).
% 12.32/12.52 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14241), _u14242)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14241, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14241, _u14243), _u14242), _u14244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14241, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14243, tc_HOL_Obool), tc_Nat_Onat, _u14241), c_Finite__Set_Ocard(_u14243)), _u14244)), _u14242)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14243), hAPP(_u14244, skolem314(_u14244, _u14243, _u14242, _u14241)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14247), _u14248)) | ( _u14248 = c_Orderings_Obot__class_Obot(tc_fun(_u14247, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14247), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14247), skolem315(_u14248, _u14247)), skolem316(_u14248, _u14247))), hAPP(hAPP(c_Set_Oinsert(_u14247), skolem315(_u14248, _u14247)), hAPP(hAPP(c_Set_Oinsert(_u14247), skolem316(_u14248, _u14247)), c_Orderings_Obot__class_Obot(tc_fun(_u14247, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14247), hAPP(c_Finite__Set_Ofold1(_u14247, c_Groups_Otimes__class_Otimes(_u14247)), _u14248)), _u14248)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14250), _u14251)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14250, _u14252)), hAPP(hAPP(c_Product__Type_OSigma(_u14250, _u14252), _u14251), _u14253))) | hBOOL(hAPP(hAPP(c_member(_u14250), skolem317(_u14253, _u14252, _u14251, _u14250)), _u14251)) )).
% 12.32/12.52 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14250), _u14251)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14250, _u14252)), hAPP(hAPP(c_Product__Type_OSigma(_u14250, _u14252), _u14251), _u14253))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14252), hAPP(_u14253, skolem317(_u14253, _u14252, _u14251, _u14250)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14256) | ( hAPP(_u14257, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14256), skolem318(_u14258, _u14257, _u14256)), skolem319(_u14258, _u14257, _u14256))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14256), hAPP(_u14257, skolem318(_u14258, _u14257, _u14256))), hAPP(_u14257, skolem319(_u14258, _u14257, _u14256)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14256), _u14258)) | ( _u14258 = c_Orderings_Obot__class_Obot(tc_fun(_u14256, tc_HOL_Obool))) | ( hAPP(_u14257, hAPP(c_Finite__Set_Ofold1(_u14256, c_Groups_Otimes__class_Otimes(_u14256)), _u14258)) = hAPP(c_Finite__Set_Ofold1(_u14256, c_Groups_Otimes__class_Otimes(_u14256)), hAPP(c_Set_Oimage(_u14256, _u14256, _u14257), _u14258))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | hBOOL(hAPP(hAPP(c_member(_u14261), skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)), _u14264)) )).
% 12.32/12.52 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | hBOOL(hAPP(hAPP(c_member(_u14262), skolem321(_u14265, _u14264, _u14263, _u14262, _u14261)), hAPP(_u14265, skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)))) )).
% 12.32/12.52 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | ( _u14263 = hAPP(hAPP(c_Product__Type_OPair(_u14261, _u14262), skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)), skolem321(_u14265, _u14264, _u14263, _u14262, _u14261))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u14266, _u14267, _u14268), c_Orderings_Otop__class_Otop(tc_fun(_u14266, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14267, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14269, _u14270, _u14271), c_Orderings_Otop__class_Otop(tc_fun(_u14269, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14270, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14266, _u14269), tc_prod(_u14267, _u14270), c_Product__Type_Omap__pair(_u14266, _u14267, _u14269, _u14270, _u14268, _u14271)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14266, _u14269), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14267, _u14270), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u14272, _u14273, _u14274, _u14275) | ~c_Fun_Oinj__on(_u14276, _u14277, _u14278, _u14279) | c_Fun_Oinj__on(tc_prod(_u14272, _u14276), tc_prod(_u14273, _u14277), c_Product__Type_Omap__pair(_u14272, _u14273, _u14276, _u14277, _u14274, _u14278), hAPP(hAPP(c_Product__Type_OSigma(_u14272, _u14276), _u14275), hAPP(c_COMBK(tc_fun(_u14276, tc_HOL_Obool), _u14272), _u14279))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14280, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14280, _u14281), _u14282), _u14283)), _u14284)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14286), hAPP(_u14287, _u14282)), hAPP(_u14288, _u14283))), hAPP(c_Set_Oimage(tc_prod(_u14280, _u14281), tc_prod(_u14285, _u14286), c_Product__Type_Omap__pair(_u14280, _u14285, _u14281, _u14286, _u14287, _u14288)), _u14284))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14289, _u14290), tc_prod(_u14291, _u14292), tc_prod(_u14293, _u14294), c_Product__Type_Omap__pair(_u14289, _u14291, _u14290, _u14292, _u14295, _u14296)), c_Product__Type_Omap__pair(_u14293, _u14289, _u14294, _u14290, _u14297, _u14298)) = c_Product__Type_Omap__pair(_u14293, _u14291, _u14294, _u14292, hAPP(c_Fun_Ocomp(_u14289, _u14291, _u14293, _u14295), _u14297), hAPP(c_Fun_Ocomp(_u14290, _u14292, _u14294, _u14296), _u14298))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u14299, _u14300, _u14301, _u14302, hAPP(c_Fun_Ocomp(_u14303, _u14300, _u14299, _u14304), _u14305), hAPP(c_Fun_Ocomp(_u14306, _u14302, _u14301, _u14307), _u14308)) = hAPP(c_Fun_Ocomp(tc_prod(_u14303, _u14306), tc_prod(_u14300, _u14302), tc_prod(_u14299, _u14301), c_Product__Type_Omap__pair(_u14303, _u14300, _u14306, _u14302, _u14304, _u14307)), c_Product__Type_Omap__pair(_u14299, _u14303, _u14301, _u14306, _u14305, _u14308))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14309, _u14310, _u14311, _u14312, _u14313, _u14314), hAPP(c_Product__Type_Omap__pair(_u14315, _u14309, _u14316, _u14311, _u14317, _u14318), _u14319)) = hAPP(c_Product__Type_Omap__pair(_u14315, _u14310, _u14316, _u14312, hAPP(c_Fun_Ocomp(_u14309, _u14310, _u14315, _u14313), _u14317), hAPP(c_Fun_Ocomp(_u14311, _u14312, _u14316, _u14314), _u14318)), _u14319)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14320, _u14321), _u14321, tc_prod(_u14322, _u14323), c_Product__Type_Osnd(_u14320, _u14321)), c_Product__Type_Omap__pair(_u14322, _u14320, _u14323, _u14321, _u14324, _u14325)) = hAPP(c_Fun_Ocomp(_u14323, _u14321, tc_prod(_u14322, _u14323), _u14325), c_Product__Type_Osnd(_u14322, _u14323))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14326, _u14327), _u14326, tc_prod(_u14328, _u14329), c_Product__Type_Ofst(_u14326, _u14327)), c_Product__Type_Omap__pair(_u14328, _u14326, _u14329, _u14327, _u14330, _u14331)) = hAPP(c_Fun_Ocomp(_u14328, _u14326, tc_prod(_u14328, _u14329), _u14330), c_Product__Type_Ofst(_u14328, _u14329))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14332, _u14333, _u14334, _u14335, _u14336, _u14337), hAPP(hAPP(c_Product__Type_OPair(_u14332, _u14334), _u14338), _u14339)) = hAPP(hAPP(c_Product__Type_OPair(_u14333, _u14335), hAPP(_u14336, _u14338)), hAPP(_u14337, _u14339))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14340, _u14340, _u14341, _u14341, c_COMBI(_u14340), c_COMBI(_u14341)), _u14342) = _u14342) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u14343, _u14344), hAPP(c_Product__Type_Omap__pair(_u14345, _u14343, _u14346, _u14344, _u14347, _u14348), _u14349)) = hAPP(_u14348, hAPP(c_Product__Type_Osnd(_u14345, _u14346), _u14349))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u14350, _u14351), hAPP(c_Product__Type_Omap__pair(_u14352, _u14350, _u14353, _u14351, _u14354, _u14355), _u14356)) = hAPP(_u14354, hAPP(c_Product__Type_Ofst(_u14352, _u14353), _u14356))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u14357, _u14358, _u14359, _u14360, _u14361, _u14362) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14357, _u14359, tc_prod(_u14358, _u14360)), hAPP(hAPP(c_COMBC(_u14357, tc_fun(_u14359, _u14360), tc_fun(_u14359, tc_prod(_u14358, _u14360))), hAPP(hAPP(c_COMBB(tc_fun(_u14360, tc_prod(_u14358, _u14360)), tc_fun(tc_fun(_u14359, _u14360), tc_fun(_u14359, tc_prod(_u14358, _u14360))), _u14357), c_COMBB(_u14360, tc_prod(_u14358, _u14360), _u14359)), hAPP(hAPP(c_COMBB(_u14358, tc_fun(_u14360, tc_prod(_u14358, _u14360)), _u14357), c_Product__Type_OPair(_u14358, _u14360)), _u14361))), _u14362))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u14363, _u14364, _u14365), _u14366) != _u14367) | ( hAPP(c_Set_Oimage(_u14368, _u14369, _u14370), _u14371) != _u14372) | ( hAPP(c_Set_Oimage(tc_prod(_u14363, _u14368), tc_prod(_u14364, _u14369), c_Product__Type_Omap__pair(_u14363, _u14364, _u14368, _u14369, _u14365, _u14370)), hAPP(hAPP(c_Product__Type_OSigma(_u14363, _u14368), _u14366), hAPP(c_COMBK(tc_fun(_u14368, tc_HOL_Obool), _u14363), _u14371))) = hAPP(hAPP(c_Product__Type_OSigma(_u14364, _u14369), _u14367), hAPP(c_COMBK(tc_fun(_u14369, tc_HOL_Obool), _u14364), _u14372))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14376)), _u14377), hAPP(c_Set_Oimage(tc_prod(_u14378, _u14379), tc_prod(_u14375, _u14376), c_Product__Type_Omap__pair(_u14378, _u14375, _u14379, _u14376, _u14380, _u14381)), _u14382))) | ( _u14377 = hAPP(hAPP(c_Product__Type_OPair(_u14375, _u14376), hAPP(_u14380, skolem322(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375))), hAPP(_u14381, skolem323(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375)))) )).
% 12.32/12.52 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14376)), _u14377), hAPP(c_Set_Oimage(tc_prod(_u14378, _u14379), tc_prod(_u14375, _u14376), c_Product__Type_Omap__pair(_u14378, _u14375, _u14379, _u14376, _u14380, _u14381)), _u14382))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14378, _u14379)), hAPP(hAPP(c_Product__Type_OPair(_u14378, _u14379), skolem322(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375)), skolem323(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375))), _u14382)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | 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(_u14384, tc_Nat_Onat), _u14386), _u14385))) | hBOOL(hAPP(hAPP(c_member(_u14384), skolem324(_u14386, _u14385, _u14384)), _u14385)) )).
% 12.32/12.52 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | 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(_u14384, tc_Nat_Onat), _u14386), _u14385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14386, skolem324(_u14386, _u14385, _u14384)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14389, _u14390, _u14391) | ( hAPP(_u14392, hAPP(hAPP(_u14390, skolem325(_u14393, _u14392, _u14391, _u14390, _u14389)), skolem326(_u14393, _u14392, _u14391, _u14390, _u14389))) != hAPP(hAPP(_u14390, hAPP(_u14392, skolem325(_u14393, _u14392, _u14391, _u14390, _u14389))), hAPP(_u14392, skolem326(_u14393, _u14392, _u14391, _u14390, _u14389)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14389), _u14393)) | ( _u14393 = c_Orderings_Obot__class_Obot(tc_fun(_u14389, tc_HOL_Obool))) | ( hAPP(_u14392, hAPP(_u14391, _u14393)) = hAPP(_u14391, hAPP(c_Set_Oimage(_u14389, _u14389, _u14392), _u14393))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 12.32/12.52 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)), _u14395), c_Int_OInteg)) | ~hBOOL(hAPP(_u14396, hAPP(c_Int_ORep__Integ, skolem327(_u14396, _u14395)))) | hBOOL(hAPP(_u14396, _u14395)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 12.32/12.52 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)), _u14398), c_Int_OInteg)) | ( _u14398 = hAPP(c_Int_ORep__Integ, skolem328(_u14398))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14400, _u14401, _u14402, _u14403, _u14404, _u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14407)) | ( hAPP(_u14405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407)) = hAPP(hAPP(_u14402, hAPP(_u14405, _u14406)), hAPP(_u14405, _u14407))) | hBOOL(hAPP(hAPP(c_member(_u14401), skolem329(_u14407, _u14406, _u14405, _u14404, _u14403, _u14402, _u14401)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407))) )).
% 12.32/12.52 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14400, _u14401, _u14402, _u14403, _u14404, _u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14407)) | ( hAPP(_u14405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407)) = hAPP(hAPP(_u14402, hAPP(_u14405, _u14406)), hAPP(_u14405, _u14407))) | ( hAPP(_u14404, skolem329(_u14407, _u14406, _u14405, _u14404, _u14403, _u14402, _u14401)) != _u14403) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u14408, tc_fun(_u14408, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_HOL_Obool), tc_fun(tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), _u14408), hAPP(c_COMBC(tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14408, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14408, tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), c_Set_Oinsert(_u14408)), c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14409)) | ( 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)), _u14409))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14410)))) = 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)), _u14409))), 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, _u14410)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u14411, _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14413), _u14412), hAPP(c_Set_OCollect(_u14413), _u14411))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), hAPP(hAPP(c_COMBS(_u14414, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14414), c_fconj), _u14415)), _u14416)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), _u14415))) )).
% 12.32/12.52 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), hAPP(hAPP(c_COMBS(_u14414, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14414), c_fconj), _u14415)), _u14416)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), _u14416))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 12.32/12.52 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)), _u14417)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 12.32/12.52 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)), _u14418)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14420, _u14420, _u14420, hAPP(_u14421, _u14422)), hAPP(_u14421, _u14422)) = hAPP(_u14421, _u14422)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14419, _u14420, _u14421) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14423), _u14424), _u14425) = hAPP(c_Set_OCollect(_u14423), hAPP(hAPP(c_COMBS(_u14423, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14423), c_fdisj), hAPP(hAPP(c_COMBC(_u14423, _u14423, tc_HOL_Obool), c_fequal), _u14424))), hAPP(hAPP(c_COMBC(_u14423, tc_fun(_u14423, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14423)), _u14425)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14426), _u14427), _u14428) = hAPP(c_Set_OCollect(_u14426), hAPP(hAPP(c_COMBS(_u14426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14426), c_fdisj), hAPP(hAPP(c_COMBC(_u14426, _u14426, tc_HOL_Obool), c_fequal), _u14427))), hAPP(hAPP(c_COMBC(_u14426, tc_fun(_u14426, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14426)), _u14428)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u14429, _u14430)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14429, _u14430, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u14429, tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool)), _u14429), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14429), c_fconj), _u14431))), _u14432))) = hAPP(hAPP(c_Product__Type_OSigma(_u14429, _u14430), hAPP(c_Set_OCollect(_u14429), _u14431)), hAPP(hAPP(c_COMBB(tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool), _u14429), c_Set_OCollect(_u14430)), _u14432))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u14433, _u14434)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14433, _u14434, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14433, tc_fun(_u14434, tc_HOL_Obool), tc_fun(_u14434, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14434, tc_HOL_Obool), tc_fun(_u14434, tc_HOL_Obool)), _u14433), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14434)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14433), c_fconj), _u14435))), _u14436))) = hAPP(hAPP(c_Product__Type_OSigma(_u14433, _u14434), hAPP(c_Set_OCollect(_u14433), _u14435)), hAPP(c_COMBK(tc_fun(_u14434, tc_HOL_Obool), _u14433), hAPP(c_Set_OCollect(_u14434), _u14436)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14437, _u14438, _u14439), hAPP(c_Set_OCollect(_u14438), _u14440)) = hAPP(c_Set_OCollect(_u14437), hAPP(hAPP(c_COMBB(_u14438, tc_HOL_Obool, _u14437), _u14440), _u14439))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14441), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14441), c_fNot), _u14442)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14441, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14441), _u14442))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), hAPP(hAPP(c_COMBS(_u14446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14446), c_fdisj), _u14448)), _u14450)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), _u14448))) )).
% 12.32/12.52 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), hAPP(hAPP(c_COMBS(_u14446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14446), c_fdisj), _u14448)), _u14450)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), _u14450))) )).
% 12.32/12.52 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), _u14449))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), _u14451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), hAPP(hAPP(c_COMBS(_u14447, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14447), c_fdisj), _u14449)), _u14451)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14452), hAPP(hAPP(c_COMBS(_u14452, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14452), c_fconj), _u14453)), _u14454)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14452, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14452), _u14453)), hAPP(c_Set_OCollect(_u14452), _u14454))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14455) | c_Finite__Set_Ofun__left__comm__idem(_u14455, _u14455, c_Lattices_Osemilattice__inf__class_Oinf(_u14455)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14456, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14456), hAPP(c_COMBK(tc_HOL_Obool, _u14456), c_fTrue))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u14457, tc_fun(_u14457, tc_HOL_Obool), c_Set_Oinsert(_u14457)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u14458), _u14459) = _u14459) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u14462, _u14463), hAPP(hAPP(_u14462, _u14463), _u14464)) = hAPP(hAPP(_u14462, _u14463), _u14464)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14460, _u14461, _u14462) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14465, _u14466, _u14467) | c_Finite__Set_Ofun__left__comm__idem(_u14468, _u14466, hAPP(hAPP(c_COMBB(_u14465, tc_fun(_u14466, _u14466), _u14468), _u14467), _u14469)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14470), _u14471), hAPP(c_Set_OCollect(_u14470), _u14472)) = hAPP(c_Set_OCollect(_u14470), hAPP(hAPP(c_COMBS(_u14470, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14470), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14470), c_fNot), hAPP(hAPP(c_COMBC(_u14470, _u14470, tc_HOL_Obool), c_fequal), _u14471)))), _u14472))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14473, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14473), hAPP(c_COMBK(tc_HOL_Obool, _u14473), c_fFalse))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u14480, _u14474)) | ( hAPP(c_Set_OCollect(_u14478), _u14480) != c_Orderings_Obot__class_Obot(tc_fun(_u14478, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u14481, skolem330(_u14481))) | ( hAPP(c_Set_OCollect(_u14479), _u14481) = c_Orderings_Obot__class_Obot(tc_fun(_u14479, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u14488, _u14482)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14486, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u14486), _u14488)) )).
% 12.32/12.52 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u14489, skolem331(_u14489))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14487, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14487), _u14489)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14490), hAPP(hAPP(c_COMBS(_u14490, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14490), c_fdisj), _u14491)), _u14492)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14490, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14490), _u14491)), hAPP(c_Set_OCollect(_u14490), _u14492))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14493) | c_Finite__Set_Ofun__left__comm__idem(_u14493, _u14493, c_Lattices_Osemilattice__sup__class_Osup(_u14493)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14494) | c_Finite__Set_Ofun__left__comm__idem(_u14494, _u14494, c_Groups_Otimes__class_Otimes(_u14494)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14495), hAPP(hAPP(c_COMBC(_u14495, tc_fun(_u14495, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14495)), _u14496)) = _u14496) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u14504, _u14502)) | ~hBOOL(hAPP(hAPP(c_member(_u14500), _u14502), hAPP(c_Set_OCollect(_u14500), _u14504))) )).
% 12.32/12.52 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u14505, _u14503)) | hBOOL(hAPP(hAPP(c_member(_u14501), _u14503), hAPP(c_Set_OCollect(_u14501), _u14505))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u14508, _u14507)) | ~hBOOL(hAPP(hAPP(c_member(_u14506), _u14507), hAPP(c_Set_OCollect(_u14506), _u14508))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u14511, _u14510)) | ~hBOOL(hAPP(hAPP(c_member(_u14509), _u14510), hAPP(c_Set_OCollect(_u14509), _u14511))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14512) | c_Finite__Set_Ofun__left__comm__idem(_u14512, _u14512, c_Orderings_Oord__class_Omax(_u14512)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u14513) | c_Finite__Set_Ofun__left__comm__idem(_u14513, _u14513, c_Orderings_Oord__class_Omin(_u14513)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14514, tc_HOL_Obool)), _u14515), _u14516) = hAPP(c_Set_OCollect(_u14514), hAPP(hAPP(c_COMBS(_u14514, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14514), c_fdisj), hAPP(hAPP(c_COMBC(_u14514, tc_fun(_u14514, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14514)), _u14515))), hAPP(hAPP(c_COMBC(_u14514, tc_fun(_u14514, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14514)), _u14516)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14521, tc_HOL_Obool)), _u14525), hAPP(c_Set_OCollect(_u14521), _u14527)))) | hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), _u14525)) )).
% 12.32/12.52 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14521, tc_HOL_Obool)), _u14525), hAPP(c_Set_OCollect(_u14521), _u14527)))) | hBOOL(hAPP(_u14527, _u14523)) )).
% 12.32/12.52 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14522), _u14524), _u14526)) | ~hBOOL(hAPP(_u14528, _u14524)) | hBOOL(hAPP(hAPP(c_member(_u14522), _u14524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14522, tc_HOL_Obool)), _u14526), hAPP(c_Set_OCollect(_u14522), _u14528)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14529, tc_HOL_Obool)), _u14530), _u14531) = hAPP(c_Set_OCollect(_u14529), hAPP(hAPP(c_COMBS(_u14529, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14529), c_fconj), hAPP(hAPP(c_COMBC(_u14529, tc_fun(_u14529, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14529)), _u14530))), hAPP(hAPP(c_COMBC(_u14529, tc_fun(_u14529, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14529)), _u14531)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u14532), hAPP(c_fequal, _u14533)) = hAPP(hAPP(c_Set_Oinsert(_u14532), _u14533), c_Orderings_Obot__class_Obot(tc_fun(_u14532, tc_HOL_Obool)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u14534), hAPP(hAPP(c_COMBC(_u14534, _u14534, tc_HOL_Obool), c_fequal), _u14535)) = hAPP(hAPP(c_Set_Oinsert(_u14534), _u14535), c_Orderings_Obot__class_Obot(tc_fun(_u14534, tc_HOL_Obool)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u14539, _u14541)) | ( hAPP(c_Set_OCollect(_u14543), hAPP(hAPP(c_COMBS(_u14543, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14543), c_fconj), hAPP(c_fequal, _u14541))), _u14539)) = hAPP(hAPP(c_Set_Oinsert(_u14543), _u14541), c_Orderings_Obot__class_Obot(tc_fun(_u14543, tc_HOL_Obool)))) )).
% 12.32/12.52 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u14540, _u14542)) | ( hAPP(c_Set_OCollect(_u14544), hAPP(hAPP(c_COMBS(_u14544, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14544), c_fconj), hAPP(c_fequal, _u14542))), _u14540)) = c_Orderings_Obot__class_Obot(tc_fun(_u14544, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u14548, _u14550)) | ( hAPP(c_Set_OCollect(_u14552), hAPP(hAPP(c_COMBS(_u14552, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14552), c_fconj), hAPP(hAPP(c_COMBC(_u14552, _u14552, tc_HOL_Obool), c_fequal), _u14550))), _u14548)) = hAPP(hAPP(c_Set_Oinsert(_u14552), _u14550), c_Orderings_Obot__class_Obot(tc_fun(_u14552, tc_HOL_Obool)))) )).
% 12.32/12.52 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u14549, _u14551)) | ( hAPP(c_Set_OCollect(_u14553), hAPP(hAPP(c_COMBS(_u14553, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14553), c_fconj), hAPP(hAPP(c_COMBC(_u14553, _u14553, tc_HOL_Obool), c_fequal), _u14551))), _u14549)) = c_Orderings_Obot__class_Obot(tc_fun(_u14553, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14554, tc_HOL_Obool)), _u14555), _u14556) = hAPP(c_Set_OCollect(_u14554), hAPP(hAPP(c_COMBS(_u14554, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14554), c_fconj), hAPP(hAPP(c_COMBC(_u14554, tc_fun(_u14554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14554)), _u14555))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14554), c_fNot), hAPP(hAPP(c_COMBC(_u14554, tc_fun(_u14554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14554)), _u14556))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), _u14558))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14557), c_fNot), _u14558)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), c_Orderings_Otop__class_Otop(tc_fun(_u14557, tc_HOL_Obool)))) )).
% 12.32/12.52 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), _u14558))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), c_Orderings_Otop__class_Otop(tc_fun(_u14557, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14557), c_fNot), _u14558)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14559), _u14560), _u14561) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14559, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14559), hAPP(hAPP(c_COMBC(_u14559, _u14559, tc_HOL_Obool), c_fequal), _u14560))), _u14561)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14562, tc_HOL_Obool)), _u14563) = hAPP(c_Set_OCollect(_u14562), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14562), c_fNot), hAPP(hAPP(c_COMBC(_u14562, tc_fun(_u14562, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14562)), _u14563)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14564, _u14565, _u14566), _u14567) = hAPP(c_Set_OCollect(_u14564), hAPP(hAPP(c_COMBC(_u14564, tc_fun(_u14565, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14565, tc_fun(tc_fun(_u14565, tc_HOL_Obool), tc_HOL_Obool), _u14564), c_member(_u14565)), _u14566)), _u14567))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14568), hAPP(hAPP(c_COMBS(_u14568, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14568), c_fimplies), _u14569)), _u14570)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14568), _u14569))), hAPP(c_Set_OCollect(_u14568), _u14570))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_dom__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_dom__def-1, axiom, ( ( c_Map_Odom(_u14571, _u14572, _u14573) = hAPP(c_Set_OCollect(_u14571), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14571), c_fNot), hAPP(hAPP(c_COMBC(_u14571, tc_Option_Ooption(_u14572), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14572), tc_fun(tc_Option_Ooption(_u14572), tc_HOL_Obool), _u14571), c_fequal), _u14573)), c_Option_Ooption_ONone(_u14572))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 12.32/12.52 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), _u14574)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14575))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14577), _u14578)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14579), _u14580)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14577, _u14576), hAPP(hAPP(c_COMBS(_u14577, tc_fun(_u14579, tc_HOL_Obool), _u14576), hAPP(hAPP(c_COMBB(tc_fun(_u14579, _u14576), tc_fun(tc_fun(_u14579, tc_HOL_Obool), _u14576), _u14577), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14579, _u14576)), _u14581)), hAPP(hAPP(c_COMBB(tc_fun(_u14579, tc_HOL_Obool), tc_fun(_u14579, tc_HOL_Obool), _u14577), c_Set_OCollect(_u14579)), hAPP(hAPP(c_COMBB(tc_fun(_u14579, tc_HOL_Obool), tc_fun(_u14579, tc_HOL_Obool), _u14577), hAPP(c_COMBS(_u14579, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14579), c_fconj), hAPP(hAPP(c_COMBC(_u14579, tc_fun(_u14579, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14579)), _u14580)))), _u14582)))), _u14578) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14579, _u14576), hAPP(hAPP(c_COMBS(_u14579, tc_fun(_u14577, tc_HOL_Obool), _u14576), hAPP(hAPP(c_COMBB(tc_fun(_u14577, _u14576), tc_fun(tc_fun(_u14577, tc_HOL_Obool), _u14576), _u14579), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14577, _u14576)), hAPP(c_COMBC(_u14577, _u14579, _u14576), _u14581))), hAPP(hAPP(c_COMBB(tc_fun(_u14577, tc_HOL_Obool), tc_fun(_u14577, tc_HOL_Obool), _u14579), c_Set_OCollect(_u14577)), hAPP(hAPP(c_COMBB(tc_fun(_u14577, tc_HOL_Obool), tc_fun(_u14577, tc_HOL_Obool), _u14579), hAPP(c_COMBS(_u14577, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14577), c_fconj), hAPP(hAPP(c_COMBC(_u14577, tc_fun(_u14577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14577)), _u14578)))), hAPP(c_COMBC(_u14577, _u14579, tc_HOL_Obool), _u14582))))), _u14580)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u14583, _u14584, hAPP(hAPP(c_COMBS(_u14583, _u14584, _u14584), hAPP(hAPP(c_COMBS(_u14583, _u14584, tc_fun(_u14584, _u14584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14584, tc_fun(_u14584, _u14584)), _u14583), c_If(_u14584)), _u14585)), _u14586)), _u14587)), _u14588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14584, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14583, _u14584, _u14586), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14583, tc_HOL_Obool)), _u14588), hAPP(c_Set_OCollect(_u14583), _u14585)))), hAPP(c_Set_Oimage(_u14583, _u14584, _u14587), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14583, tc_HOL_Obool)), _u14588), hAPP(c_Set_OCollect(_u14583), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14583), c_fNot), _u14585)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_dom__if ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_dom__if-1, axiom, ( ( c_Map_Odom(_u14589, _u14590, hAPP(hAPP(c_COMBS(_u14589, tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590)), hAPP(hAPP(c_COMBS(_u14589, tc_Option_Ooption(_u14590), tc_fun(tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u14590), tc_fun(tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590))), _u14589), c_If(tc_Option_Ooption(_u14590))), _u14591)), _u14592)), _u14593)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14589, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14589, tc_HOL_Obool)), c_Map_Odom(_u14589, _u14590, _u14592)), hAPP(c_Set_OCollect(_u14589), _u14591))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14589, tc_HOL_Obool)), c_Map_Odom(_u14589, _u14590, _u14593)), hAPP(c_Set_OCollect(_u14589), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14589), c_fNot), _u14591))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u14594 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14595, _u14596), 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)), _u14597)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14595), _u14594)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14598) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14599), _u14600)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14599, _u14598), _u14601), hAPP(c_Set_OCollect(_u14599), hAPP(hAPP(c_COMBS(_u14599, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14599), c_fconj), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14600))), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14602)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14599, _u14598), hAPP(hAPP(c_COMBC(_u14599, _u14598, _u14598), hAPP(hAPP(c_COMBS(_u14599, _u14598, tc_fun(_u14598, _u14598)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14598, tc_fun(_u14598, _u14598)), _u14599), c_If(_u14598)), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14602))), _u14601)), c_Groups_Ozero__class_Ozero(_u14598))), _u14600)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), _u14605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14604, _u14603), _u14606), _u14605) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14607, _u14603), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), _u14603, _u14607), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14604, _u14603), _u14606)), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), tc_fun(_u14604, tc_HOL_Obool), _u14607), c_Set_OCollect(_u14604)), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), tc_fun(_u14604, tc_HOL_Obool), _u14607), hAPP(c_COMBS(_u14604, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14604), c_fconj), hAPP(hAPP(c_COMBC(_u14604, tc_fun(_u14604, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14604)), _u14605)))), hAPP(c_COMBC(_u14604, _u14607, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14607, tc_fun(_u14607, tc_HOL_Obool), _u14604), c_fequal), _u14608)))))), hAPP(c_Set_Oimage(_u14604, _u14607, _u14608), _u14605))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u14609, _u14610, _u14611), hAPP(hAPP(c_Set_Oinsert(_u14609), _u14612), c_Orderings_Obot__class_Obot(tc_fun(_u14609, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u14610), hAPP(hAPP(c_COMBC(_u14610, tc_fun(tc_prod(_u14609, _u14610), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14609, _u14610), tc_fun(tc_fun(tc_prod(_u14609, _u14610), tc_HOL_Obool), tc_HOL_Obool), _u14610), c_member(tc_prod(_u14609, _u14610))), hAPP(c_Product__Type_OPair(_u14609, _u14610), _u14612))), _u14611))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14614), _u14615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), hAPP(hAPP(c_COMBS(_u14614, _u14613, _u14613), hAPP(hAPP(c_COMBS(_u14614, _u14613, tc_fun(_u14613, _u14613)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14613, tc_fun(_u14613, _u14613)), _u14614), c_If(_u14613)), _u14616)), _u14617)), _u14618)), _u14615) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14613), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), _u14617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14614, tc_HOL_Obool)), _u14615), hAPP(c_Set_OCollect(_u14614), _u14616)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), _u14618), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14614, tc_HOL_Obool)), _u14615), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14614, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14614), _u14616)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14619)) | ( 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)), _u14619))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14620))))) = 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)), _u14619))), 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, _u14620)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card__less ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14621)) | ( 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)), _u14621))), 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, _u14622))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_dom__override__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_dom__override__on-1, axiom, ( ( c_Map_Odom(_u14623, _u14624, c_Fun_Ooverride__on(_u14623, tc_Option_Ooption(_u14624), _u14625, _u14626, _u14627)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14623, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14623, tc_HOL_Obool)), c_Map_Odom(_u14623, _u14624, _u14625)), hAPP(c_Set_OCollect(_u14623), hAPP(hAPP(c_COMBC(_u14623, tc_fun(_u14623, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14623)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14623, tc_HOL_Obool)), _u14627), c_Map_Odom(_u14623, _u14624, _u14626)))))), hAPP(c_Set_OCollect(_u14623), hAPP(hAPP(c_COMBC(_u14623, tc_fun(_u14623, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14623)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14623, tc_HOL_Obool)), _u14627), c_Map_Odom(_u14623, _u14624, _u14626)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14629), _u14630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14631), _u14632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14629, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_Nat_Onat, _u14629), c_Finite__Set_Ocard(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), c_Set_OCollect(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), hAPP(c_COMBS(_u14631, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14631), c_fconj), hAPP(hAPP(c_COMBC(_u14631, tc_fun(_u14631, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14631)), _u14632)))), _u14633)))), _u14630) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14634), hAPP(c_Finite__Set_Ocard(_u14631), _u14632))) | hBOOL(hAPP(hAPP(c_member(_u14631), skolem332(_u14634, _u14633, _u14632, _u14631, _u14630, _u14629)), _u14632)) )).
% 12.32/12.52 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14629), _u14630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14631), _u14632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14629, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_Nat_Onat, _u14629), c_Finite__Set_Ocard(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), c_Set_OCollect(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), hAPP(c_COMBS(_u14631, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14631), c_fconj), hAPP(hAPP(c_COMBC(_u14631, tc_fun(_u14631, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14631)), _u14632)))), _u14633)))), _u14630) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14634), hAPP(c_Finite__Set_Ocard(_u14631), _u14632))) | ( hAPP(c_Finite__Set_Ocard(_u14629), hAPP(c_Set_OCollect(_u14629), hAPP(hAPP(c_COMBS(_u14629, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14629), c_fconj), hAPP(hAPP(c_COMBC(_u14629, tc_fun(_u14629, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14629)), _u14630))), hAPP(hAPP(c_COMBC(_u14629, _u14631, tc_HOL_Obool), _u14633), skolem332(_u14634, _u14633, _u14632, _u14631, _u14630, _u14629))))) != _u14634) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14635), _u14636)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14635, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u14635, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14635, tc_HOL_Obool), tc_fun(_u14635, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14635, tc_HOL_Obool))), _u14636)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u14637), _u14638) = hAPP(c_Set_OCollect(tc_fun(_u14637, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14637, tc_HOL_Obool), tc_fun(_u14637, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14637, tc_HOL_Obool))), _u14638))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14639), _u14640), _u14641)) | ( hAPP(c_Fun_Ooverride__on(_u14639, _u14642, _u14643, _u14644, _u14641), _u14640) = hAPP(_u14643, _u14640)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14645), _u14646), _u14647)) | ( hAPP(c_Fun_Ooverride__on(_u14645, _u14648, _u14649, _u14650, _u14647), _u14646) = hAPP(_u14650, _u14646)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u14651, _u14652, _u14653, _u14654, c_Orderings_Obot__class_Obot(tc_fun(_u14651, tc_HOL_Obool))) = _u14653) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u14655, _u14656), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(_u14655, _u14656)), c_Set_OCollect(tc_prod(_u14655, _u14656))), hAPP(hAPP(c_COMBB(tc_fun(_u14655, tc_fun(_u14656, tc_HOL_Obool)), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(_u14655, _u14656)), c_Product__Type_Oprod_Oprod__case(_u14655, _u14656, tc_HOL_Obool)), hAPP(c_COMBB(_u14656, tc_fun(_u14656, tc_HOL_Obool), _u14655), hAPP(c_COMBC(_u14656, _u14656, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u14655, _u14656), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 12.32/12.52 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)))), _u14657))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14664), _u14666), _u14668)) | ( hAPP(c_Fun_Ooverride__on(_u14664, _u14670, _u14672, _u14674, _u14668), _u14666) = hAPP(_u14674, _u14666)) )).
% 12.32/12.52 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14665), _u14667), _u14669)) | ( hAPP(c_Fun_Ooverride__on(_u14665, _u14671, _u14673, _u14675, _u14669), _u14667) = hAPP(_u14673, _u14667)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u14676) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14676, tc_HOL_Obool)), c_COMBS(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14676, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u14676, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u14676))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u14677, _u14678), _u14679), _u14680) = hAPP(c_Set_OCollect(tc_prod(_u14678, _u14678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14678, _u14678, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14678, tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool)), _u14678), c_COMBC(_u14678, tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_prod(_u14677, _u14677)), tc_fun(_u14678, tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), _u14678), hAPP(c_COMBB(tc_prod(_u14677, _u14677), tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool), _u14678), c_member(tc_prod(_u14677, _u14677)))), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, _u14677), tc_fun(_u14678, tc_prod(_u14677, _u14677))), hAPP(hAPP(c_COMBB(tc_fun(_u14677, tc_prod(_u14677, _u14677)), tc_fun(tc_fun(_u14678, _u14677), tc_fun(_u14678, tc_prod(_u14677, _u14677))), _u14678), c_COMBB(_u14677, tc_prod(_u14677, _u14677), _u14678)), hAPP(hAPP(c_COMBB(_u14677, tc_fun(_u14677, tc_prod(_u14677, _u14677)), _u14678), c_Product__Type_OPair(_u14677, _u14677)), _u14680))), _u14680)))), _u14679)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 12.32/12.52 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)))), _u14681)) = 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), _u14681), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u14682) = 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), _u14682), c_Int_Onat))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u14683, _u14684, _u14685, _u14686) = hAPP(c_Set_OCollect(tc_prod(_u14683, _u14684)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14683, _u14684, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14683, tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool)), _u14683), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14684)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14683), c_fconj), hAPP(hAPP(c_COMBC(_u14683, tc_fun(_u14683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14683)), _u14685)))), hAPP(hAPP(c_COMBC(_u14684, tc_fun(_u14684, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14684)), _u14686))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u14687) = 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), _u14687)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u14688) = 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), _u14688)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u14691, _u14693) | c_Relation_Orefl__on(_u14691, c_Orderings_Otop__class_Otop(tc_fun(_u14691, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14691, _u14691)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14691, _u14691, tc_HOL_Obool), _u14693))) )).
% 12.32/12.52 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u14692, c_Orderings_Otop__class_Otop(tc_fun(_u14692, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14692, _u14692)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14692, _u14692, tc_HOL_Obool), _u14694))) | c_Predicate_Oreflp(_u14692, _u14694) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u14696, _u14697), _u14697)) | ~c_Predicate_Oreflp(_u14695, _u14696) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14698), _u14699)) | ( _u14699 = c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14698), _u14700)) | ( _u14700 = c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14698), c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), _u14699)), c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), _u14700)) = c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), hAPP(c_Set_OCollect(_u14698), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool, _u14698), c_HOL_OEx(_u14698)), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_HOL_Obool), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool, _u14698), c_HOL_OEx(_u14698))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), tc_fun(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), _u14698), c_COMBS(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14698, tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBS(_u14698, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14698), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14698), c_fconj))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_fun(_u14698, _u14698)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool)), tc_fun(tc_fun(_u14698, tc_fun(_u14698, _u14698)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), _u14698), c_COMBB(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool), _u14698)), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_fun(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBB(_u14698, tc_HOL_Obool, _u14698)), c_fequal))), c_Orderings_Oord__class_Omin(_u14698)))))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14698)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14698), c_fconj), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14698)), _u14699)))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14698)), _u14700)))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14701), _u14702)) | ( _u14702 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14701), _u14703)) | ( _u14703 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14701), c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), _u14702)), c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), _u14703)) = c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), hAPP(c_Set_OCollect(_u14701), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool, _u14701), c_HOL_OEx(_u14701)), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_HOL_Obool), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool, _u14701), c_HOL_OEx(_u14701))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), tc_fun(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), _u14701), c_COMBS(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14701, tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBS(_u14701, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14701), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14701), c_fconj))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_fun(_u14701, _u14701)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool)), tc_fun(tc_fun(_u14701, tc_fun(_u14701, _u14701)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), _u14701), c_COMBB(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool), _u14701)), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_fun(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBB(_u14701, tc_HOL_Obool, _u14701)), c_fequal))), c_Orderings_Oord__class_Omax(_u14701)))))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14701)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14701), c_fconj), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14701)), _u14702)))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14701)), _u14703)))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14704), hAPP(c_Set_OCollect(_u14704), _u14705))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14706), hAPP(c_Set_OCollect(_u14706), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_HOL_Obool), tc_HOL_Obool, _u14706), c_HOL_OEx(_u14704)), hAPP(hAPP(c_COMBC(_u14706, tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_HOL_Obool)), _u14706), c_COMBS(_u14704, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14706), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14704), c_fconj)), hAPP(hAPP(c_COMBC(_u14706, tc_fun(_u14704, _u14706), tc_fun(_u14704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14706, tc_HOL_Obool), tc_fun(tc_fun(_u14704, _u14706), tc_fun(_u14704, tc_HOL_Obool)), _u14706), c_COMBB(_u14706, tc_HOL_Obool, _u14704)), c_fequal)), _u14707)))), _u14705))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | ~hBOOL(hAPP(_u14711, _u14708)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBC(_u14712, _u14710, tc_HOL_Obool), _u14713), _u14708)))) )).
% 12.32/12.52 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | hBOOL(hAPP(_u14711, skolem333(_u14713, _u14712, _u14711, _u14710))) )).
% 12.32/12.52 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBC(_u14712, _u14710, tc_HOL_Obool), _u14713), skolem333(_u14713, _u14712, _u14711, _u14710))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_ran__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_ran__def-1, axiom, ( ( c_Map_Oran(_u14714, _u14715, _u14716) = hAPP(c_Set_OCollect(_u14715), hAPP(hAPP(c_COMBB(tc_fun(_u14714, tc_HOL_Obool), tc_HOL_Obool, _u14715), c_HOL_OEx(_u14714)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14715), tc_fun(_u14714, tc_HOL_Obool), _u14715), hAPP(c_COMBC(_u14714, tc_Option_Ooption(_u14715), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14715), tc_fun(tc_Option_Ooption(_u14715), tc_HOL_Obool), _u14714), c_fequal), _u14716))), c_Option_Ooption_OSome(_u14715))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u14717), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14717, tc_HOL_Obool)), _u14718)) = hAPP(c_Set_OCollect(tc_fun(_u14717, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u14717, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), c_COMBS(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), c_COMBB(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14717, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u14717, tc_HOL_Obool)), _u14718)), c_Set_OPow(_u14717)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14719), _u14720)) | ( _u14720 = c_Orderings_Obot__class_Obot(tc_fun(_u14719, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14719), _u14721), c_Big__Operators_Olinorder__class_OMax(_u14719, _u14720)) = c_Big__Operators_Olinorder__class_OMax(_u14719, hAPP(c_Set_OCollect(_u14719), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_HOL_Obool, _u14719), c_HOL_OEx(_u14719)), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool)), _u14719), c_COMBS(_u14719, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14719), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14719), c_fconj)), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, _u14719), tc_fun(_u14719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(tc_fun(_u14719, _u14719), tc_fun(_u14719, tc_HOL_Obool)), _u14719), c_COMBB(_u14719, tc_HOL_Obool, _u14719)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14719), _u14721))))), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14719)), _u14720)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14722), _u14723)) | ( _u14723 = c_Orderings_Obot__class_Obot(tc_fun(_u14722, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14722), _u14724), c_Big__Operators_Olinorder__class_OMin(_u14722, _u14723)) = c_Big__Operators_Olinorder__class_OMin(_u14722, hAPP(c_Set_OCollect(_u14722), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_HOL_Obool, _u14722), c_HOL_OEx(_u14722)), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_HOL_Obool)), _u14722), c_COMBS(_u14722, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14722), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14722), c_fconj)), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, _u14722), tc_fun(_u14722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_fun(tc_fun(_u14722, _u14722), tc_fun(_u14722, tc_HOL_Obool)), _u14722), c_COMBB(_u14722, tc_HOL_Obool, _u14722)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14722), _u14724))))), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14722)), _u14723)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14725), _u14726)) | ( _u14726 = c_Orderings_Obot__class_Obot(tc_fun(_u14725, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14725), _u14727)) | ( _u14727 = c_Orderings_Obot__class_Obot(tc_fun(_u14725, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14725), c_Big__Operators_Olattice__class_OInf__fin(_u14725, _u14726)), c_Big__Operators_Olattice__class_OInf__fin(_u14725, _u14727)) = c_Big__Operators_Olattice__class_OInf__fin(_u14725, hAPP(c_Set_OCollect(_u14725), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool, _u14725), c_HOL_OEx(_u14725)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_HOL_Obool), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool, _u14725), c_HOL_OEx(_u14725))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), tc_fun(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), _u14725), c_COMBS(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14725, tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBS(_u14725, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14725), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14725), c_fconj))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_fun(_u14725, _u14725)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool)), tc_fun(tc_fun(_u14725, tc_fun(_u14725, _u14725)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), _u14725), c_COMBB(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool), _u14725)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_fun(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBB(_u14725, tc_HOL_Obool, _u14725)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14725)))))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14725)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14725), c_fconj), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14725)), _u14726)))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14725)), _u14727)))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14728) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14728), _u14729)) | ( _u14729 = c_Orderings_Obot__class_Obot(tc_fun(_u14728, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14728), _u14730), c_Big__Operators_Olattice__class_OInf__fin(_u14728, _u14729)) = c_Big__Operators_Olattice__class_OInf__fin(_u14728, hAPP(c_Set_OCollect(_u14728), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_HOL_Obool, _u14728), c_HOL_OEx(_u14728)), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_HOL_Obool)), _u14728), c_COMBS(_u14728, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14728), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14728), c_fconj)), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, _u14728), tc_fun(_u14728, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_fun(tc_fun(_u14728, _u14728), tc_fun(_u14728, tc_HOL_Obool)), _u14728), c_COMBB(_u14728, tc_HOL_Obool, _u14728)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14728), _u14730))))), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14728)), _u14729)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14731), _u14732)) | ( _u14732 = c_Orderings_Obot__class_Obot(tc_fun(_u14731, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14731), _u14733), c_Big__Operators_Olattice__class_OSup__fin(_u14731, _u14732)) = c_Big__Operators_Olattice__class_OSup__fin(_u14731, hAPP(c_Set_OCollect(_u14731), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool, _u14731), c_HOL_OEx(_u14731)), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), _u14731), c_COMBS(_u14731, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14731), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14731), c_fconj)), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, _u14731), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_fun(tc_fun(_u14731, _u14731), tc_fun(_u14731, tc_HOL_Obool)), _u14731), c_COMBB(_u14731, tc_HOL_Obool, _u14731)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14731), _u14733))))), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14731)), _u14732)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14734), _u14735)) | ( _u14735 = c_Orderings_Obot__class_Obot(tc_fun(_u14734, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14734), _u14736)) | ( _u14736 = c_Orderings_Obot__class_Obot(tc_fun(_u14734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14734), c_Big__Operators_Olattice__class_OSup__fin(_u14734, _u14735)), c_Big__Operators_Olattice__class_OSup__fin(_u14734, _u14736)) = c_Big__Operators_Olattice__class_OSup__fin(_u14734, hAPP(c_Set_OCollect(_u14734), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool, _u14734), c_HOL_OEx(_u14734)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_HOL_Obool), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool, _u14734), c_HOL_OEx(_u14734))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), tc_fun(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), _u14734), c_COMBS(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14734, tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBS(_u14734, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14734), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14734), c_fconj))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_fun(_u14734, _u14734)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool)), tc_fun(tc_fun(_u14734, tc_fun(_u14734, _u14734)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), _u14734), c_COMBB(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool), _u14734)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBB(_u14734, tc_HOL_Obool, _u14734)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14734)))))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14734)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14734), c_fconj), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14734)), _u14735)))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14734)), _u14736)))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14737), _u14738)) | ( _u14738 = c_Orderings_Obot__class_Obot(tc_fun(_u14737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14737), _u14739), c_Big__Operators_Olattice_OInf__fin(_u14737, c_Orderings_Oord__class_Omin(_u14737), _u14738)) = c_Big__Operators_Olattice_OInf__fin(_u14737, c_Orderings_Oord__class_Omin(_u14737), hAPP(c_Set_OCollect(_u14737), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_HOL_Obool, _u14737), c_HOL_OEx(_u14737)), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_HOL_Obool)), _u14737), c_COMBS(_u14737, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14737), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14737), c_fconj)), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, _u14737), tc_fun(_u14737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_fun(tc_fun(_u14737, _u14737), tc_fun(_u14737, tc_HOL_Obool)), _u14737), c_COMBB(_u14737, tc_HOL_Obool, _u14737)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14737), _u14739))))), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14737)), _u14738)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14740), _u14741)) | ( _u14741 = c_Orderings_Obot__class_Obot(tc_fun(_u14740, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14740), _u14742), c_Big__Operators_Olattice_OSup__fin(_u14740, c_Orderings_Oord__class_Omax(_u14740), _u14741)) = c_Big__Operators_Olattice_OSup__fin(_u14740, c_Orderings_Oord__class_Omax(_u14740), hAPP(c_Set_OCollect(_u14740), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_HOL_Obool, _u14740), c_HOL_OEx(_u14740)), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_HOL_Obool)), _u14740), c_COMBS(_u14740, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14740), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14740), c_fconj)), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, _u14740), tc_fun(_u14740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_fun(tc_fun(_u14740, _u14740), tc_fun(_u14740, tc_HOL_Obool)), _u14740), c_COMBB(_u14740, tc_HOL_Obool, _u14740)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14740), _u14742))))), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14740)), _u14741)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u14743) | ~c_Fun_Oinj__on(tc_prod(_u14744, _u14745), _u14743, hAPP(c_Product__Type_Oprod_Oprod__case(_u14744, _u14745, _u14743), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, _u14743), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), _u14744), c_COMBB(_u14743, _u14743, _u14745)), hAPP(hAPP(c_COMBB(_u14743, tc_fun(_u14743, _u14743), _u14744), c_Groups_Otimes__class_Otimes(_u14743)), _u14746))), _u14747)), hAPP(hAPP(c_Product__Type_OSigma(_u14744, _u14745), _u14748), hAPP(c_COMBK(tc_fun(_u14745, tc_HOL_Obool), _u14744), _u14749))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14743), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14744, _u14743), _u14746), _u14748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14745, _u14743), _u14747), _u14749)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14743, _u14743), c_Fun_Oid(_u14743)), hAPP(c_Set_OCollect(_u14743), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool, _u14743), c_HOL_OEx(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_HOL_Obool), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14744), c_HOL_OEx(_u14745))), hAPP(hAPP(c_COMBC(_u14743, tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), tc_fun(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), _u14743), c_COMBS(_u14744, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14744, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), _u14744), c_COMBS(_u14745, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14744), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj))), hAPP(hAPP(c_COMBC(_u14743, tc_fun(_u14744, tc_fun(_u14745, _u14743)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool)), tc_fun(tc_fun(_u14744, tc_fun(_u14745, _u14743)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), _u14743), c_COMBB(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool), _u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, tc_HOL_Obool), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool)), _u14743), c_COMBB(_u14743, tc_HOL_Obool, _u14745)), c_fequal))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, _u14743), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), _u14744), c_COMBB(_u14743, _u14743, _u14745)), hAPP(hAPP(c_COMBB(_u14743, tc_fun(_u14743, _u14743), _u14744), c_Groups_Otimes__class_Otimes(_u14743)), _u14746))), _u14747)))))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), _u14744), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14745)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14744), c_fconj), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744)), _u14748)))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14749)))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14751), _u14752)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), _u14754)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14751, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_Nat_Onat, _u14751), c_Finite__Set_Ocard(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), c_Set_OCollect(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), hAPP(c_COMBS(_u14753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14753), c_fconj), hAPP(hAPP(c_COMBC(_u14753, tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14753)), _u14754)))), _u14755)))), _u14752) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14753, tc_Nat_Onat), _u14756), _u14754)) | hBOOL(hAPP(hAPP(c_member(_u14753), skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751)), _u14754)) )).
% 12.32/12.52 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14751), _u14752)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), _u14754)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14751, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_Nat_Onat, _u14751), c_Finite__Set_Ocard(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), c_Set_OCollect(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), hAPP(c_COMBS(_u14753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14753), c_fconj), hAPP(hAPP(c_COMBC(_u14753, tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14753)), _u14754)))), _u14755)))), _u14752) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14753, tc_Nat_Onat), _u14756), _u14754)) | ( hAPP(c_Finite__Set_Ocard(_u14751), hAPP(c_Set_OCollect(_u14751), hAPP(hAPP(c_COMBS(_u14751, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14751), c_fconj), hAPP(hAPP(c_COMBC(_u14751, tc_fun(_u14751, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14751)), _u14752))), hAPP(hAPP(c_COMBC(_u14751, _u14753, tc_HOL_Obool), _u14755), skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751))))) != hAPP(_u14756, skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u14757, _u14757, c_Fun_Oid(_u14757), _u14758) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u14759, _u14759, _u14760, _u14760, c_COMBI(_u14759), c_COMBI(_u14760)) = c_Fun_Oid(tc_prod(_u14759, _u14760))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u14761, _u14761, _u14762, _u14762, c_Fun_Oid(_u14761), c_Fun_Oid(_u14762)) = c_Fun_Oid(tc_prod(_u14761, _u14762))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_id__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u14763), _u14764) = _u14764) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u14765), _u14766) = _u14766) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u14767, _u14767, _u14768, c_Fun_Oid(_u14767)) = c_Fun_Oid(tc_prod(_u14767, _u14768))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u14769, _u14769, _u14770, c_Fun_Oid(_u14769)) = c_Fun_Oid(tc_prod(_u14770, _u14769))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14771, _u14771, c_Fun_Oid(_u14771)), _u14772) = _u14772) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u14776, hAPP(_u14777, _u14779)) = hAPP(_u14778, _u14779)) | ( hAPP(c_Fun_Ocomp(_u14773, _u14774, _u14775, _u14776), _u14777) != hAPP(c_Fun_Ocomp(_u14774, _u14774, _u14775, c_Fun_Oid(_u14774)), _u14778)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_id__o ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14780, _u14780, _u14781, c_Fun_Oid(_u14780)), _u14782) = _u14782) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_o__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14783, _u14784, _u14783, _u14785), c_Fun_Oid(_u14783)) = _u14785) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14786, _u14786, c_Fun_Oid(_u14786)), c_Orderings_Otop__class_Otop(tc_fun(_u14786, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14786, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_image__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14787, _u14787, c_Fun_Oid(_u14787)), _u14788) = _u14788) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u14789, _u14790, _u14791, _u14792) | ( hAPP(_u14792, c_Orderings_Obot__class_Obot(tc_fun(_u14789, tc_HOL_Obool))) = c_Fun_Oid(_u14790)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u14793, _u14794, _u14795, _u14796) = c_Product__Type_Omap__pair(_u14793, _u14794, _u14795, _u14795, _u14796, c_Fun_Oid(_u14795))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u14797, _u14798, _u14799, _u14800) = c_Product__Type_Omap__pair(_u14799, _u14799, _u14797, _u14798, c_Fun_Oid(_u14799), _u14800)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14801, _u14802, tc_prod(_u14801, _u14802)), c_Product__Type_OPair(_u14801, _u14802)) = c_Fun_Oid(tc_prod(_u14801, _u14802))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14803) | ~c_Fun_Oinj__on(_u14804, _u14803, _u14805, _u14806) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14804, _u14803), _u14805), _u14806) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14803, _u14803), c_Fun_Oid(_u14803)), hAPP(c_Set_Oimage(_u14804, _u14803, _u14805), _u14806))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14807) | ~c_Fun_Oinj__on(_u14808, _u14807, _u14809, _u14810) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14808, _u14807), _u14809), _u14810) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14807, _u14807), c_Fun_Oid(_u14807)), hAPP(c_Set_Oimage(_u14808, _u14807, _u14809), _u14810))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14817), _u14819)) | ( _u14819 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14817, skolem336(_u14819, _u14817)), 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)), skolem335(_u14819, _u14817))))) )).
% 12.32/12.52 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u14820 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14818, _u14813), 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)), _u14814)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14818), _u14820)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14821, _u14822, _u14823), _u14824), _u14825) = hAPP(c_Set_OCollect(tc_prod(_u14821, _u14823)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14821, _u14823, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_HOL_Obool), _u14821), hAPP(c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_HOL_Obool, _u14823), c_HOL_OEx(_u14822))), hAPP(hAPP(c_COMBC(_u14821, tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), tc_fun(tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool))), _u14821), c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool), _u14823)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14821), c_COMBS(_u14822, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14821), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14822), c_fconj)), hAPP(hAPP(c_COMBC(_u14821, tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14821), c_COMBC(_u14822, tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_prod(_u14821, _u14822)), tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), _u14821), hAPP(c_COMBB(tc_prod(_u14821, _u14822), tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool), _u14822), c_member(tc_prod(_u14821, _u14822)))), c_Product__Type_OPair(_u14821, _u14822)))), _u14824))))), hAPP(hAPP(c_COMBC(_u14823, tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14823), c_COMBC(_u14822, tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_prod(_u14822, _u14823)), tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), _u14823), hAPP(c_COMBB(tc_prod(_u14822, _u14823), tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool), _u14822), c_member(tc_prod(_u14822, _u14823)))), hAPP(c_COMBC(_u14822, _u14823, tc_prod(_u14822, _u14823)), c_Product__Type_OPair(_u14822, _u14823))))), _u14825)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14826, _u14827)), hAPP(hAPP(c_Product__Type_OPair(_u14826, _u14827), _u14828), _u14829)), _u14830)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14827, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14827, _u14831), _u14829), _u14832)), _u14833)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14826, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14826, _u14831), _u14828), _u14832)), hAPP(hAPP(c_Relation_Orel__comp(_u14826, _u14827, _u14831), _u14830), _u14833))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14834, _u14835, _u14836), _u14837), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14838, tc_fun(tc_prod(_u14835, _u14836), tc_HOL_Obool)), _u14839), _u14840)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14838, tc_fun(tc_prod(_u14834, _u14836), tc_HOL_Obool)), _u14839), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14835, _u14836), tc_HOL_Obool), tc_fun(tc_prod(_u14834, _u14836), tc_HOL_Obool), _u14838), hAPP(c_Relation_Orel__comp(_u14834, _u14835, _u14836), _u14837)), _u14840))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14841, _u14842, _u14843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14844, tc_fun(tc_prod(_u14841, _u14842), tc_HOL_Obool)), _u14845), _u14846)), _u14847) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14844, tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBC(_u14844, tc_fun(tc_prod(_u14842, _u14843), tc_HOL_Obool), tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14841, _u14842), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14842, _u14843), tc_HOL_Obool), tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), _u14844), c_Relation_Orel__comp(_u14841, _u14842, _u14843)), _u14846)), _u14847))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14849, _u14850), hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14851, _u14849), _u14852), _u14853)), _u14854) = hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14851, _u14850), _u14852), hAPP(hAPP(c_Relation_Orel__comp(_u14851, _u14849, _u14850), _u14853), _u14854))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14855, _u14856), tc_HOL_Obool)), _u14857), _u14858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14856, _u14859), tc_HOL_Obool)), _u14860), _u14861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14855, _u14859), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14856, _u14859), _u14857), _u14860)), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14856, _u14859), _u14858), _u14861))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14863, _u14864), tc_HOL_Obool)), _u14866), _u14867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14862, _u14864), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), _u14867))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool)), _u14871), _u14872)), _u14873) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14868, _u14870), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14871), _u14873)), hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14872), _u14873))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14874, _u14875, _u14876), _u14877), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14875, _u14876), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14874, _u14876), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14878, _u14879, _u14880), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14878, _u14879), tc_HOL_Obool))), _u14881) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14878, _u14880), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), _u14883), _u14884) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), _u14885), _u14884) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool)), _u14883), _u14885)), _u14884) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), _u14888) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), _u14889) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool)), _u14888), _u14889)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14890, _u14891), tc_HOL_Obool)), _u14892), hAPP(hAPP(c_Product__Type_OSigma(_u14890, _u14891), _u14893), hAPP(c_COMBK(tc_fun(_u14891, tc_HOL_Obool), _u14890), _u14894)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14891, _u14895), tc_HOL_Obool)), _u14896), hAPP(hAPP(c_Product__Type_OSigma(_u14891, _u14895), _u14894), hAPP(c_COMBK(tc_fun(_u14895, tc_HOL_Obool), _u14891), _u14897)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14890, _u14895), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14890, _u14891, _u14895), _u14892), _u14896)), hAPP(hAPP(c_Product__Type_OSigma(_u14890, _u14895), _u14893), hAPP(c_COMBK(tc_fun(_u14895, tc_HOL_Obool), _u14890), _u14897)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14898, _u14898), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14898, _u14898, _u14898), _u14899), _u14900)), _u14899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14898, _u14899)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14898, _u14900)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14898, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14898, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14898, _u14899))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14901, _u14901), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14901, _u14901), _u14902), _u14903)), _u14902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14901, _u14902)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14901, _u14903)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14901, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14901, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14901, _u14902))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~c_Predicate_Opred__comp(_u14911, _u14913, _u14915, hAPP(hAPP(c_COMBC(_u14911, tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_fun(_u14913, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14913, tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_fun(_u14913, tc_HOL_Obool)), _u14911), c_COMBC(_u14913, tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14913, tc_prod(_u14911, _u14913)), tc_fun(_u14913, tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), _u14911), hAPP(c_COMBB(tc_prod(_u14911, _u14913), tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool), _u14913), c_member(tc_prod(_u14911, _u14913)))), c_Product__Type_OPair(_u14911, _u14913)))), _u14917), hAPP(hAPP(c_COMBC(_u14913, tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14913), c_COMBC(_u14915, tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14913, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14913), hAPP(c_COMBB(tc_prod(_u14913, _u14915), tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14913, _u14915)))), c_Product__Type_OPair(_u14913, _u14915)))), _u14919), _u14921, _u14923) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14911, _u14915)), hAPP(hAPP(c_Product__Type_OPair(_u14911, _u14915), _u14921), _u14923)), hAPP(hAPP(c_Relation_Orel__comp(_u14911, _u14913, _u14915), _u14917), _u14919))) )).
% 12.32/12.52 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14912, _u14916)), hAPP(hAPP(c_Product__Type_OPair(_u14912, _u14916), _u14922), _u14924)), hAPP(hAPP(c_Relation_Orel__comp(_u14912, _u14914, _u14916), _u14918), _u14920))) | c_Predicate_Opred__comp(_u14912, _u14914, _u14916, hAPP(hAPP(c_COMBC(_u14912, tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14912), c_COMBC(_u14914, tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14912, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14912), hAPP(c_COMBB(tc_prod(_u14912, _u14914), tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14912, _u14914)))), c_Product__Type_OPair(_u14912, _u14914)))), _u14918), hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_fun(_u14916, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14916, tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_fun(_u14916, tc_HOL_Obool)), _u14914), c_COMBC(_u14916, tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14916, tc_prod(_u14914, _u14916)), tc_fun(_u14916, tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14916), tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool), _u14916), c_member(tc_prod(_u14914, _u14916)))), c_Product__Type_OPair(_u14914, _u14916)))), _u14920), _u14922, _u14924) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u14925, _u14926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14925, _u14925, _u14925), _u14926), _u14927)), _u14926)) | c_FunDef_Oreduction__pair(_u14925, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool), tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool)), _u14926), _u14927)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14928, _u14929), _u14930)) | ~hBOOL(hAPP(hAPP(_u14931, _u14930), _u14932)) | c_Predicate_Opred__comp(_u14933, _u14934, _u14935, _u14928, _u14931, _u14929, _u14932) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u14936, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14936, _u14936), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u14937, _u14938) | c_Wellfounded_Owf(_u14939, hAPP(hAPP(c_Relation_Oinv__image(_u14937, _u14939), _u14938), _u14940)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u14941, _u14942) | ~c_Wellfounded_Owf(_u14943, _u14944) | c_Wellfounded_Owf(tc_prod(_u14941, _u14943), c_Wellfounded_Olex__prod(_u14941, _u14943, _u14942, _u14944)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u14945, hAPP(c_Wellfounded_Omeasure(_u14945), _u14946)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u14949, _u14951) | c_Wellfounded_Owf(_u14949, hAPP(hAPP(c_Relation_Orel__comp(_u14949, _u14949, _u14949), _u14951), _u14951)) )).
% 12.32/12.52 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u14950, hAPP(hAPP(c_Relation_Orel__comp(_u14950, _u14950, _u14950), _u14952), _u14952)) | c_Wellfounded_Owf(_u14950, _u14952) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14953, _u14953, _u14953), _u14954), _u14954) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14953, _u14953), tc_HOL_Obool))) | c_Wellfounded_Owf(_u14953, _u14954) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u14958, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), _u14960), _u14962)) | c_Wellfounded_Owf(_u14958, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14958, _u14958), _u14960), _u14960)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14958, _u14958), _u14962), _u14960))), _u14962)) )).
% 12.32/12.52 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u14959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14959, _u14959), _u14961), _u14961)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14959, _u14959), _u14963), _u14961))), _u14963)) | c_Wellfounded_Owf(_u14959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), _u14961), _u14963)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__less-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u14964)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u14965, _u14966) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14965, _u14965)), hAPP(hAPP(c_Product__Type_OPair(_u14965, _u14965), _u14967), _u14967)), _u14966)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u14968, _u14969) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14968, _u14968)), hAPP(hAPP(c_Product__Type_OPair(_u14968, _u14968), _u14970), _u14971)), _u14969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14968, _u14968)), hAPP(hAPP(c_Product__Type_OPair(_u14968, _u14968), _u14971), _u14970)), _u14969)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u14972, _u14973) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14972, _u14972)), hAPP(hAPP(c_Product__Type_OPair(_u14972, _u14972), _u14974), _u14975)), _u14973)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14972, _u14972)), hAPP(hAPP(c_Product__Type_OPair(_u14972, _u14972), _u14975), _u14974)), _u14973)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u14976, _u14977) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14976, _u14976)), hAPP(hAPP(c_Product__Type_OPair(_u14976, _u14976), _u14978), _u14978)), _u14977)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u14979, _u14980) | c_Wellfounded_Owf(_u14979, c_Wellfounded_Omlex__prod(_u14979, _u14981, _u14980)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u14982, _u14983) | c_Wellfounded_Owf(tc_fun(_u14982, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u14982, _u14983)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pred__comp_Oequations-1, axiom, ( ~c_Predicate_Opred__comp(_u14993, _u14995, _u14997, _u14999, _u15001, _u15003, _u15005) | hBOOL(hAPP(hAPP(_u14999, _u15003), skolem337(_u15005, _u15003, _u15001, _u14999))) )).
% 12.32/12.52 cnf(fact_pred__comp_Oequations-2, axiom, ( ~c_Predicate_Opred__comp(_u14993, _u14995, _u14997, _u14999, _u15001, _u15003, _u15005) | hBOOL(hAPP(hAPP(_u15001, skolem337(_u15005, _u15003, _u15001, _u14999)), _u15005)) )).
% 12.32/12.52 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15000, _u15004), _u14985)) | ~hBOOL(hAPP(hAPP(_u15002, _u14985), _u15006)) | c_Predicate_Opred__comp(_u14994, _u14996, _u14998, _u15000, _u15002, _u15004, _u15006) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u15007, _u15008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15007, _u15007), tc_HOL_Obool)), _u15009), _u15008)) | c_Wellfounded_Owf(_u15007, _u15009) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u15010, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u15010)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u15011, _u15012) | c_Wellfounded_Owf(tc_fun(_u15011, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u15011, _u15012)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u15013, _u15014) | c_Wellfounded_Owf(_u15013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15013, _u15013), tc_HOL_Obool)), _u15015), _u15014)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u15016, _u15017) | c_Wellfounded_Owf(_u15016, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15016, _u15016), tc_HOL_Obool)), _u15017), _u15018)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u15023, _u15025) | hBOOL(hAPP(hAPP(c_member(_u15023), _u15019), c_Wellfounded_Oacc(_u15023, _u15025))) )).
% 12.32/12.52 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15024), skolem338(_u15026, _u15024)), c_Wellfounded_Oacc(_u15024, _u15026))) | c_Wellfounded_Owf(_u15024, _u15026) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u15027, _u15028) | hBOOL(hAPP(hAPP(c_member(_u15027), _u15029), c_Wellfounded_Oacc(_u15027, _u15028))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u15030)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u15037, _u15039) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15037, _u15037)), hAPP(hAPP(c_Product__Type_OPair(_u15037, _u15037), hAPP(_u15032, hAPP(c_Nat_OSuc, skolem339(_u15039, _u15037, _u15032)))), hAPP(_u15032, skolem339(_u15039, _u15037, _u15032)))), _u15039)) )).
% 12.32/12.52 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15038, _u15038)), hAPP(hAPP(c_Product__Type_OPair(_u15038, _u15038), hAPP(skolem340(_u15040, _u15038), hAPP(c_Nat_OSuc, _u15033))), hAPP(skolem340(_u15040, _u15038), _u15033))), _u15040)) | c_Wellfounded_Owf(_u15038, _u15040) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u15041, _u15042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15041, tc_HOL_Obool)), _u15043), hAPP(c_Relation_OImage(_u15041, _u15041, _u15042), _u15043))) | ( _u15043 = c_Orderings_Obot__class_Obot(tc_fun(_u15041, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u15044, _u15045) | ~c_Wellfounded_Owf(_u15044, _u15046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15044, _u15044), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15044, _u15044, _u15044), _u15045), _u15046)), _u15045)) | c_Wellfounded_Owf(_u15044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15044, _u15044), tc_HOL_Obool)), _u15045), _u15046)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u15047) | c_Wellfounded_Owf(_u15047, hAPP(c_Set_OCollect(tc_prod(_u15047, _u15047)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15047, _u15047, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u15047)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u15050, _u15052) | c_Wellfounded_Owf(_u15050, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052)) )).
% 12.32/12.52 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u15050, _u15052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15050, _u15050, _u15050), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052))) )).
% 12.32/12.52 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u15051, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15051, _u15051, _u15051), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053))) | c_FunDef_Oreduction__pair(_u15051, _u15053) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u15054, _u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15056), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15057), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15055))) | ~c_Wellfounded_Owf(_u15054, _u15057) | c_Wellfounded_Owf(_u15054, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15056), _u15057)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u15058, _u15059) | ~c_Fun_Oinj__on(_u15058, _u15060, _u15061, c_Orderings_Otop__class_Otop(tc_fun(_u15058, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15060, hAPP(c_Set_Oimage(tc_prod(_u15058, _u15058), tc_prod(_u15060, _u15060), c_Product__Type_Omap__pair(_u15058, _u15060, _u15058, _u15060, _u15061, _u15061)), _u15059)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u15062, _u15063) | c_Wellfounded_Owf(tc_List_Olist(_u15062), c_List_Olenlex(_u15062, _u15063)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u15068, hAPP(c_Set_OCollect(tc_prod(_u15068, _u15068)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15068, _u15068, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(_u15068, tc_HOL_Obool), _u15068), hAPP(c_COMBS(_u15068, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15068), c_fconj), _u15065))), hAPP(hAPP(c_COMBC(_u15068, tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), _u15068), c_COMBB(_u15068, tc_HOL_Obool, _u15068)), c_fequal)), _u15067))))) | hBOOL(hAPP(_u15065, skolem341(_u15068, _u15067, _u15066, _u15065))) )).
% 12.32/12.52 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u15068, hAPP(c_Set_OCollect(tc_prod(_u15068, _u15068)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15068, _u15068, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(_u15068, tc_HOL_Obool), _u15068), hAPP(c_COMBS(_u15068, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15068), c_fconj), _u15065))), hAPP(hAPP(c_COMBC(_u15068, tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), _u15068), c_COMBB(_u15068, tc_HOL_Obool, _u15068)), c_fequal)), _u15067))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15066, hAPP(_u15067, skolem341(_u15068, _u15067, _u15066, _u15065)))), hAPP(_u15066, skolem341(_u15068, _u15067, _u15066, _u15065)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pred__nat__def-1, axiom, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u15069, _u15070) | c_Wellfounded_Owf(tc_List_Olist(_u15069), c_List_Olex(_u15069, _u15070)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u15071, _u15072) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u15071), tc_List_Olist(_u15071)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u15071, _u15072))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u15073, _u15074) | c_Wellfounded_Owf(tc_List_Olist(_u15073), hAPP(c_List_Olexn(_u15073, _u15074), _u15075)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u15076, _u15077), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u15082, _u15080), c_Recdef_Osame__fst(_u15082, _u15080, _u15079, _u15081)) | hBOOL(hAPP(_u15079, skolem342(_u15082, _u15081, _u15080, _u15079))) )).
% 12.32/12.52 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u15082, _u15080), c_Recdef_Osame__fst(_u15082, _u15080, _u15079, _u15081)) | ~c_Wellfounded_Owf(_u15080, hAPP(_u15081, skolem342(_u15082, _u15081, _u15080, _u15079))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u15083, _u15084), hAPP(c_Set_OCollect(tc_prod(_u15083, _u15084)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15083, _u15084, tc_HOL_Obool), _u15085))) = hAPP(c_Set_OCollect(_u15084), hAPP(hAPP(c_COMBB(tc_fun(_u15083, tc_HOL_Obool), tc_HOL_Obool, _u15084), c_HOL_OEx(_u15083)), hAPP(c_COMBC(_u15083, _u15084, tc_HOL_Obool), _u15085)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15086, _u15087)), hAPP(hAPP(c_Product__Type_OPair(_u15086, _u15087), _u15088), _u15089)), _u15090)) | hBOOL(hAPP(hAPP(c_member(_u15087), _u15089), hAPP(c_Relation_ORange(_u15086, _u15087), _u15090))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u15091, _u15091), c_Relation_OId__on(_u15091, _u15092)) = _u15092) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u15093, _u15094), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15093, _u15094), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15094, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u15098, _u15100), _u15102) != c_Orderings_Obot__class_Obot(tc_fun(_u15100, tc_HOL_Obool))) | ( _u15102 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15098, _u15100), tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Range__empty__iff-2, axiom, ( ( _u15103 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15099, _u15101), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u15099, _u15101), _u15103) = c_Orderings_Obot__class_Obot(tc_fun(_u15101, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u15104, _u15105), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15104, _u15105), tc_HOL_Obool)), _u15106), _u15107)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15105, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15104, _u15105), _u15106)), hAPP(c_Relation_ORange(_u15104, _u15105), _u15107))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15108, _u15109)), _u15110)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15109), hAPP(c_Relation_ORange(_u15108, _u15109), _u15110))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u15111, _u15112), _u15112, c_Product__Type_Osnd(_u15111, _u15112)), _u15113) = hAPP(c_Relation_ORange(_u15111, _u15112), _u15113)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15120), _u15122), hAPP(c_Relation_ORange(_u15124, _u15120), _u15126))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15124, _u15120)), hAPP(hAPP(c_Product__Type_OPair(_u15124, _u15120), skolem343(_u15126, _u15124, _u15122, _u15120)), _u15122)), _u15126)) )).
% 12.32/12.52 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15125, _u15121)), hAPP(hAPP(c_Product__Type_OPair(_u15125, _u15121), _u15115), _u15123)), _u15127)) | hBOOL(hAPP(hAPP(c_member(_u15121), _u15123), hAPP(c_Relation_ORange(_u15125, _u15121), _u15127))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u15128, _u15129), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15128, _u15129)), hAPP(hAPP(c_Product__Type_OPair(_u15128, _u15129), _u15130), _u15131)), _u15132)) = hAPP(hAPP(c_Set_Oinsert(_u15129), _u15131), hAPP(c_Relation_ORange(_u15128, _u15129), _u15132))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15133, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15134, _u15133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15134, _u15133), tc_HOL_Obool)), _u15135), _u15136))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15133, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15134, _u15133), _u15135)), hAPP(c_Relation_ORange(_u15134, _u15133), _u15136)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15137, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15138, _u15137), _u15139)), hAPP(c_Relation_ORange(_u15138, _u15137), _u15140))), hAPP(c_Relation_ORange(_u15138, _u15137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15138, _u15137), tc_HOL_Obool)), _u15139), _u15140)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u15145, _u15147, hAPP(hAPP(c_COMBC(_u15145, tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_fun(_u15147, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15147, tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_fun(_u15147, tc_HOL_Obool)), _u15145), c_COMBC(_u15147, tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15147, tc_prod(_u15145, _u15147)), tc_fun(_u15147, tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), _u15145), hAPP(c_COMBB(tc_prod(_u15145, _u15147), tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool), _u15147), c_member(tc_prod(_u15145, _u15147)))), c_Product__Type_OPair(_u15145, _u15147)))), _u15149)), _u15151)) | hBOOL(hAPP(hAPP(c_member(_u15147), _u15151), hAPP(c_Relation_ORange(_u15145, _u15147), _u15149))) )).
% 12.32/12.52 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15148), _u15152), hAPP(c_Relation_ORange(_u15146, _u15148), _u15150))) | hBOOL(hAPP(c_Predicate_ORangeP(_u15146, _u15148, hAPP(hAPP(c_COMBC(_u15146, tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_fun(_u15148, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15148, tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_fun(_u15148, tc_HOL_Obool)), _u15146), c_COMBC(_u15148, tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15148, tc_prod(_u15146, _u15148)), tc_fun(_u15148, tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), _u15146), hAPP(c_COMBB(tc_prod(_u15146, _u15148), tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool), _u15148), c_member(tc_prod(_u15146, _u15148)))), c_Product__Type_OPair(_u15146, _u15148)))), _u15150)), _u15152)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15154), _u15155), hAPP(c_Relation_ORange(_u15156, _u15154), _u15157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15156, _u15154)), hAPP(hAPP(c_Product__Type_OPair(_u15156, _u15154), skolem344(_u15157, _u15156, _u15155, _u15154)), _u15155)), _u15157)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15158, _u15159), _u15160)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15161, _u15162, _u15158), _u15160)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u15173, skolem345(_u15175, _u15173)), _u15175)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u15169, _u15171, _u15173), _u15175)) )).
% 12.32/12.52 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u15174, _u15164), _u15176)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15170, _u15172, _u15174), _u15176)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u15177, _u15178) | ~c_Wellfounded_Owf(_u15177, _u15179) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15177, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15177, _u15177), _u15178)), hAPP(c_Relation_ORange(_u15177, _u15177), _u15179)) != c_Orderings_Obot__class_Obot(tc_fun(_u15177, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15177, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15177, _u15177), tc_HOL_Obool)), _u15178), _u15179)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u15182, _u15184) | c_Wellfounded_Owf(_u15182, hAPP(c_Set_OCollect(tc_prod(_u15182, _u15182)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15182, _u15182, tc_HOL_Obool), _u15184))) )).
% 12.32/12.52 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u15183, hAPP(c_Set_OCollect(tc_prod(_u15183, _u15183)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15183, _u15183, tc_HOL_Obool), _u15185))) | c_Wellfounded_OwfP(_u15183, _u15185) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u15186, hAPP(c_COMBK(tc_fun(_u15186, tc_HOL_Obool), _u15186), hAPP(c_COMBK(tc_HOL_Obool, _u15186), c_fFalse))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15187, _u15188)), hAPP(hAPP(c_Product__Type_OPair(_u15187, _u15188), _u15189), _u15190)), _u15191)) | hBOOL(hAPP(hAPP(c_member(_u15187), _u15189), hAPP(c_Relation_ODomain(_u15187, _u15188), _u15191))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u15192, _u15193) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15192, _u15193), _u15194)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u15199, _u15201) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15199, _u15201), _u15195)) )).
% 12.32/12.52 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u15200, _u15202), skolem346(_u15202, _u15200))) | c_Wellfounded_OwfP(_u15200, _u15202) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15203, _u15203), c_Relation_OId__on(_u15203, _u15204)) = _u15204) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u15205, _u15206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15205, tc_fun(_u15205, tc_HOL_Obool))), _u15207), _u15206)) | c_Wellfounded_OwfP(_u15205, _u15207) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15208, _u15209), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15208, _u15209), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15208, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15213, _u15215), _u15217) != c_Orderings_Obot__class_Obot(tc_fun(_u15213, tc_HOL_Obool))) | ( _u15217 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15213, _u15215), tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u15218 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15214, _u15216), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u15214, _u15216), _u15218) = c_Orderings_Obot__class_Obot(tc_fun(_u15214, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15219, _u15220), tc_HOL_Obool)), _u15221), _u15222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15219, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15219, _u15220), _u15221)), hAPP(c_Relation_ODomain(_u15219, _u15220), _u15222))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15223, _u15224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15223, _u15224), tc_HOL_Obool)), _u15225), _u15226)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15223, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15223, _u15224), _u15225)), hAPP(c_Relation_ODomain(_u15223, _u15224), _u15226))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15227, _u15228)), _u15229)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15227), hAPP(c_Relation_ODomain(_u15227, _u15228), _u15229))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u15230, _u15231), _u15230, c_Product__Type_Ofst(_u15230, _u15231)), _u15232) = hAPP(c_Relation_ODomain(_u15230, _u15231), _u15232)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15239), _u15241), hAPP(c_Relation_ODomain(_u15239, _u15243), _u15245))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15239, _u15243)), hAPP(hAPP(c_Product__Type_OPair(_u15239, _u15243), _u15241), skolem347(_u15245, _u15243, _u15241, _u15239))), _u15245)) )).
% 12.32/12.52 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15240, _u15244)), hAPP(hAPP(c_Product__Type_OPair(_u15240, _u15244), _u15242), _u15234)), _u15246)) | hBOOL(hAPP(hAPP(c_member(_u15240), _u15242), hAPP(c_Relation_ODomain(_u15240, _u15244), _u15246))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15247, _u15248), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15247, _u15248)), hAPP(hAPP(c_Product__Type_OPair(_u15247, _u15248), _u15249), _u15250)), _u15251)) = hAPP(hAPP(c_Set_Oinsert(_u15247), _u15249), hAPP(c_Relation_ODomain(_u15247, _u15248), _u15251))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15252, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15252, _u15253), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15252, _u15253), tc_HOL_Obool)), _u15254), _u15255))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15252, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15252, _u15253), _u15254)), hAPP(c_Relation_ODomain(_u15252, _u15253), _u15255)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15256, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15256, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15256, _u15257), _u15258)), hAPP(c_Relation_ODomain(_u15256, _u15257), _u15259))), hAPP(c_Relation_ODomain(_u15256, _u15257), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15256, _u15257), tc_HOL_Obool)), _u15258), _u15259)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u15260), _u15261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15260, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15260, _u15260), _u15261)), hAPP(c_Relation_ORange(_u15260, _u15260), _u15261))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u15262, _u15263) | c_Wellfounded_OwfP(_u15262, c_FunDef_Oin__rel(_u15262, _u15262, _u15263)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u15266, hAPP(hAPP(c_COMBC(_u15266, tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_fun(_u15266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15266, tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_fun(_u15266, tc_HOL_Obool)), _u15266), c_COMBC(_u15266, tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15266, tc_prod(_u15266, _u15266)), tc_fun(_u15266, tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), _u15266), hAPP(c_COMBB(tc_prod(_u15266, _u15266), tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool), _u15266), c_member(tc_prod(_u15266, _u15266)))), c_Product__Type_OPair(_u15266, _u15266)))), _u15268)) | c_Wellfounded_Owf(_u15266, _u15268) )).
% 12.32/12.52 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u15267, _u15269) | c_Wellfounded_OwfP(_u15267, hAPP(hAPP(c_COMBC(_u15267, tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_fun(_u15267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15267, tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_fun(_u15267, tc_HOL_Obool)), _u15267), c_COMBC(_u15267, tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15267, tc_prod(_u15267, _u15267)), tc_fun(_u15267, tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), _u15267), hAPP(c_COMBB(tc_prod(_u15267, _u15267), tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool), _u15267), c_member(tc_prod(_u15267, _u15267)))), c_Product__Type_OPair(_u15267, _u15267)))), _u15269)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15270, _u15271), hAPP(c_Set_OCollect(tc_prod(_u15270, _u15271)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15270, _u15271, tc_HOL_Obool), _u15272))) = hAPP(c_Set_OCollect(_u15270), hAPP(hAPP(c_COMBB(tc_fun(_u15271, tc_HOL_Obool), tc_HOL_Obool, _u15270), c_HOL_OEx(_u15271)), _u15272))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u15277, _u15279, hAPP(hAPP(c_COMBC(_u15277, tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_fun(_u15279, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15279, tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_fun(_u15279, tc_HOL_Obool)), _u15277), c_COMBC(_u15279, tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15279, tc_prod(_u15277, _u15279)), tc_fun(_u15279, tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), _u15277), hAPP(c_COMBB(tc_prod(_u15277, _u15279), tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool), _u15279), c_member(tc_prod(_u15277, _u15279)))), c_Product__Type_OPair(_u15277, _u15279)))), _u15281)), _u15283)) | hBOOL(hAPP(hAPP(c_member(_u15277), _u15283), hAPP(c_Relation_ODomain(_u15277, _u15279), _u15281))) )).
% 12.32/12.52 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15278), _u15284), hAPP(c_Relation_ODomain(_u15278, _u15280), _u15282))) | hBOOL(hAPP(c_Predicate_ODomainP(_u15278, _u15280, hAPP(hAPP(c_COMBC(_u15278, tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_fun(_u15280, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15280, tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_fun(_u15280, tc_HOL_Obool)), _u15278), c_COMBC(_u15280, tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15280, tc_prod(_u15278, _u15280)), tc_fun(_u15280, tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), _u15278), hAPP(c_COMBB(tc_prod(_u15278, _u15280), tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool), _u15280), c_member(tc_prod(_u15278, _u15280)))), c_Product__Type_OPair(_u15278, _u15280)))), _u15282)), _u15284)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15286), _u15287), hAPP(c_Relation_ODomain(_u15286, _u15288), _u15289))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15286, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15286, _u15288), _u15287), skolem348(_u15289, _u15288, _u15287, _u15286))), _u15289)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15290, _u15291), _u15292)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15293, _u15294, _u15290), _u15291)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u15305, _u15307), skolem349(_u15307, _u15305))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u15301, _u15303, _u15305), _u15307)) )).
% 12.32/12.52 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u15306, _u15308), _u15296)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15302, _u15304, _u15306), _u15308)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u15309, _u15310) | c_Wellfounded_Oacyclic(_u15309, hAPP(c_Set_OCollect(tc_prod(_u15309, _u15309)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15309, _u15309, tc_HOL_Obool), _u15310))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u15311, _u15312, _u15313, _u15314) = c_New__Random__Sequence_Oneg__bind(_u15311, _u15312, _u15314, hAPP(c_Fun_Ocomp(_u15312, 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(_u15312)))))), _u15311, c_New__Random__Sequence_Oneg__single(_u15312)), _u15313))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u15315, _u15316) | c_Wellfounded_Oacyclic(_u15315, _u15316) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15317, _u15318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15317, _u15317), tc_HOL_Obool)), _u15319), _u15318)) | c_Wellfounded_Oacyclic(_u15317, _u15319) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15320, _u15320)), _u15321)) | ~c_Wellfounded_Oacyclic(_u15320, _u15321) | c_Wellfounded_Owf(_u15320, _u15321) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15322, _u15322)), _u15323)) | ~c_Wellfounded_Owf(_u15322, _u15323) | c_Wellfounded_Oacyclic(_u15322, _u15323) )).
% 12.32/12.52 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15322, _u15322)), _u15323)) | ~c_Wellfounded_Oacyclic(_u15322, _u15323) | c_Wellfounded_Owf(_u15322, _u15323) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15324), _u15325), _u15326), _u15327), _u15328) = c_New__DSequence_Oneg__single(_u15324, _u15325)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u15329, _u15330, _u15331, _u15332) = c_New__Random__Sequence_Opos__bind(_u15329, _u15330, _u15332, hAPP(c_Fun_Ocomp(_u15330, 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(_u15330))))), _u15329, c_New__Random__Sequence_Opos__single(_u15330)), _u15331))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u15333, _u15334), _u15335) = c_Lazy__Sequence_Ohb__single(_u15333, _u15334)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15336), _u15337), _u15338), _u15339), _u15340) = c_New__DSequence_Opos__single(_u15336, _u15337)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u15341, _u15342), _u15343) = c_Lazy__Sequence_Osingle(_u15341, _u15342)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u15346, _u15348) | c_Wellfounded_Oacyclic(_u15346, _u15348) )).
% 12.32/12.52 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u15346, _u15348) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15346, _u15346)), _u15348)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.32/12.52 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u15347, _u15349) | ~c_Wellfounded_Oacyclic(_u15347, _u15349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15347, _u15347)), _u15349)) )).
% 12.32/12.52 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u15347, _u15349) | ~c_Wellfounded_Oacyclic(_u15347, _u15349) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), _u15352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), hAPP(c_Set_Oimage(_u15351, _u15353, _u15354), _u15352))) | hBOOL(hAPP(hAPP(c_member(_u15351), skolem350(_u15354, _u15353, _u15352, _u15351)), _u15352)) )).
% 12.32/12.52 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), _u15352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), hAPP(c_Set_Oimage(_u15351, _u15353, _u15354), _u15352))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), hAPP(c_Set_OCollect(_u15351), hAPP(hAPP(c_COMBS(_u15351, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15351), c_fconj), hAPP(hAPP(c_COMBC(_u15351, tc_fun(_u15351, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15351)), _u15352))), hAPP(hAPP(c_COMBC(_u15351, _u15353, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15353, tc_fun(_u15353, tc_HOL_Obool), _u15351), c_fequal), _u15354)), hAPP(_u15354, skolem350(_u15354, _u15353, _u15352, _u15351))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u15356 = hAPP(c_Int_OAbs__Integ, skolem351(_u15356))) )).
% 12.32/12.52 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)), skolem351(_u15356)), c_Int_OInteg)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u15358, _u15359)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem352(_u15359, _u15358)), c_Int_OInteg)) )).
% 12.32/12.52 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u15358, _u15359)) | ~hBOOL(hAPP(_u15358, hAPP(c_Int_OAbs__Integ, skolem352(_u15359, _u15358)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15361), _u15362)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15361, tc_fun(_u15363, tc_HOL_Obool)), _u15362), _u15364))) | hBOOL(hAPP(hAPP(c_member(_u15361), skolem353(_u15364, _u15363, _u15362, _u15361)), _u15362)) )).
% 12.32/12.52 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15361), _u15362)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15361, tc_fun(_u15363, tc_HOL_Obool)), _u15362), _u15364))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(_u15364, skolem353(_u15364, _u15363, _u15362, _u15361)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 12.32/12.52 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)), _u15367), _u15366) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem354(_u15367, _u15366)), _u15366)) )).
% 12.32/12.52 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)), _u15367), _u15366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15367), skolem354(_u15367, _u15366))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u15371, hAPP(_u15372, skolem355(_u15373, _u15372, _u15371))) | c_Wellfounded_OwfP(_u15371, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15373, tc_fun(_u15371, tc_fun(_u15371, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15373, tc_HOL_Obool))), _u15372)) | ( hAPP(_u15372, skolem356(_u15373, _u15372, _u15371)) != hAPP(_u15372, skolem357(_u15373, _u15372, _u15371))) )).
% 12.32/12.52 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u15371, hAPP(_u15372, skolem355(_u15373, _u15372, _u15371))) | c_Wellfounded_OwfP(_u15371, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15373, tc_fun(_u15371, tc_fun(_u15371, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15373, tc_HOL_Obool))), _u15372)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15371, tc_HOL_Obool)), c_Predicate_ODomainP(_u15371, _u15371, hAPP(_u15372, skolem356(_u15373, _u15372, _u15371)))), c_Predicate_ORangeP(_u15371, _u15371, hAPP(_u15372, skolem357(_u15373, _u15372, _u15371)))) != c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__map__freshness ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__map__freshness-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15375), c_Map_Odom(_u15375, _u15376, _u15377))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15375), c_Orderings_Otop__class_Otop(tc_fun(_u15375, tc_HOL_Obool)))) | ( hAPP(_u15377, skolem358(_u15377, _u15376, _u15375)) = c_Option_Ooption_ONone(_u15376)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15381, _u15382, tc_fun(_u15383, tc_HOL_Obool)), _u15385), _u15380))) | ( _u15380 = hAPP(hAPP(c_Product__Type_OPair(_u15381, _u15382), skolem359(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)), skolem360(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380))) )).
% 12.32/12.52 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15381, _u15382, tc_fun(_u15383, tc_HOL_Obool)), _u15385), _u15380))) | ~hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(_u15385, skolem359(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)), skolem360(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15390, _u15391, tc_fun(_u15388, tc_HOL_Obool)), _u15392), _u15393))) | ( _u15393 = hAPP(hAPP(c_Product__Type_OPair(_u15390, _u15391), skolem361(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)), skolem362(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388))) )).
% 12.32/12.52 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15390, _u15391, tc_fun(_u15388, tc_HOL_Obool)), _u15392), _u15393))) | hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(_u15392, skolem361(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)), skolem362(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15394, _u15395), hAPP(c_Product__Type_Oprod_Oprod__case(_u15394, _u15395, tc_HOL_Obool), _u15396)) = c_Hilbert__Choice_OEps(tc_prod(_u15394, _u15395), hAPP(hAPP(c_COMBS(tc_prod(_u15394, _u15395), _u15395, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15394, tc_fun(_u15395, tc_HOL_Obool), tc_prod(_u15394, _u15395)), _u15396), c_Product__Type_Ofst(_u15394, _u15395))), c_Product__Type_Osnd(_u15394, _u15395)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15397, hAPP(c_fequal, _u15398)) = _u15398) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15399, hAPP(hAPP(c_COMBC(_u15399, _u15399, tc_HOL_Obool), c_fequal), _u15400)) = _u15400) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u15405, c_Hilbert__Choice_OEps(_u15407, _u15405))) | hBOOL(hAPP(_u15405, skolem363(_u15407, _u15405))) )).
% 12.32/12.52 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u15406, _u15402)) | hBOOL(hAPP(_u15406, c_Hilbert__Choice_OEps(_u15408, _u15406))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u15410, _u15409)) | hBOOL(hAPP(_u15410, c_Hilbert__Choice_OEps(_u15411, _u15410))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u15413, _u15412)) | hBOOL(hAPP(_u15413, c_Hilbert__Choice_OEps(_u15414, _u15413))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_someI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u15415, _u15416)) | hBOOL(hAPP(_u15415, c_Hilbert__Choice_OEps(_u15417, _u15415))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u15419, _u15418)) | ( _u15420 != c_Hilbert__Choice_OEps(_u15421, _u15419)) | hBOOL(hAPP(_u15419, _u15420)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15422, _u15423), _u15424) = c_Hilbert__Choice_OEps(tc_prod(_u15422, _u15423), hAPP(c_Product__Type_Oprod_Oprod__case(_u15422, _u15423, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15423, tc_prod(_u15422, _u15423)), tc_fun(_u15423, tc_HOL_Obool), _u15422), hAPP(c_COMBB(tc_prod(_u15422, _u15423), tc_HOL_Obool, _u15423), _u15424)), c_Product__Type_OPair(_u15422, _u15423))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15425, _u15426), hAPP(c_Product__Type_Oprod_Oprod__case(_u15425, _u15426, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15425, tc_fun(_u15426, tc_HOL_Obool), tc_fun(_u15426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15426, tc_HOL_Obool), tc_fun(_u15426, tc_HOL_Obool)), _u15425), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15426)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15425), c_fconj), hAPP(c_fequal, _u15427)))), hAPP(c_fequal, _u15428)))) = hAPP(hAPP(c_Product__Type_OPair(_u15425, _u15426), _u15427), _u15428)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u15430, _u15431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15430, tc_HOL_Obool)), skolem364(_u15431, _u15430)), hAPP(c_Relation_OImage(_u15430, _u15430, _u15431), skolem364(_u15431, _u15430)))) )).
% 12.32/12.52 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u15430, _u15431) | ( skolem364(_u15431, _u15430) != c_Orderings_Obot__class_Obot(tc_fun(_u15430, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15433, tc_HOL_Obool)), _u15434), _u15435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15433, _u15436), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15434), _u15437)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15435), _u15438))) | hBOOL(hAPP(hAPP(c_member(_u15433), skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433)), _u15434)) )).
% 12.32/12.52 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15433, tc_HOL_Obool)), _u15434), _u15435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15433, _u15436), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15434), _u15437)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15435), _u15438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15436, tc_HOL_Obool)), hAPP(_u15437, skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433))), hAPP(_u15438, skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15440), _u15441), c_Wellfounded_Oacc(_u15440, _u15442))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15440, _u15440)), hAPP(hAPP(c_Product__Type_OPair(_u15440, _u15440), skolem366(_u15442, _u15441, _u15440)), _u15441)), _u15442)) )).
% 12.32/12.52 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15440), _u15441), c_Wellfounded_Oacc(_u15440, _u15442))) | ~hBOOL(hAPP(hAPP(c_member(_u15440), skolem366(_u15442, _u15441, _u15440)), c_Wellfounded_Oacc(_u15440, _u15442))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15444), _u15445), c_Wellfounded_Oacc(_u15444, _u15446))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15444, _u15444)), hAPP(hAPP(c_Product__Type_OPair(_u15444, _u15444), skolem367(_u15446, _u15445, _u15444)), _u15445)), _u15446)) )).
% 12.32/12.52 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15444), _u15445), c_Wellfounded_Oacc(_u15444, _u15446))) | ~hBOOL(hAPP(hAPP(c_member(_u15444), skolem367(_u15446, _u15445, _u15444)), c_Wellfounded_Oacc(_u15444, _u15446))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15448, _u15449, c_Groups_Otimes__class_Otimes(_u15448)), _u15451), c_Groups_Oone__class_Oone(_u15448)), _u15450) = c_Groups_Oone__class_Oone(_u15448)) | hBOOL(hAPP(hAPP(c_member(_u15449), skolem368(_u15451, _u15450, _u15449, _u15448)), _u15450)) )).
% 12.32/12.52 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15448, _u15449, c_Groups_Otimes__class_Otimes(_u15448)), _u15451), c_Groups_Oone__class_Oone(_u15448)), _u15450) = c_Groups_Oone__class_Oone(_u15448)) | ( hAPP(_u15451, skolem368(_u15451, _u15450, _u15449, _u15448)) != c_Groups_Oone__class_Oone(_u15448)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15453), _u15454)) | ( hAPP(c_Finite__Set_Ocard(_u15453), _u15454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15453), skolem369(_u15454, _u15453)), _u15454)) )).
% 12.32/12.52 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15453), _u15454)) | ( hAPP(c_Finite__Set_Ocard(_u15453), _u15454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15463), _u15465)) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15463), _u15467)) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ( _u15467 != c_Orderings_Obot__class_Obot(tc_fun(_u15463, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ~hBOOL(hAPP(hAPP(c_member(_u15463), _u15456), _u15465)) | hBOOL(hAPP(hAPP(c_member(_u15463), skolem370(_u15469, _u15467, _u15465, _u15463, _u15456)), _u15467)) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ~hBOOL(hAPP(hAPP(c_member(_u15463), _u15456), _u15465)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15463, _u15463)), hAPP(hAPP(c_Product__Type_OPair(_u15463, _u15463), _u15456), skolem370(_u15469, _u15467, _u15465, _u15463, _u15456))), _u15469)) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool)), _u15466), _u15468)), c_Wellfounded_Omax__ext(_u15464, _u15470))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15468)) | ( _u15468 = c_Orderings_Obot__class_Obot(tc_fun(_u15464, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15464), skolem371(_u15470, _u15468, _u15466, _u15464)), _u15466)) )).
% 12.32/12.52 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool)), _u15466), _u15468)), c_Wellfounded_Omax__ext(_u15464, _u15470))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15468)) | ( _u15468 = c_Orderings_Obot__class_Obot(tc_fun(_u15464, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15464), _u15457), _u15468)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15464, _u15464)), hAPP(hAPP(c_Product__Type_OPair(_u15464, _u15464), skolem371(_u15470, _u15468, _u15466, _u15464)), _u15457)), _u15470)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15473), _u15474)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15475), _u15477), _u15474) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15476), _u15477), _u15474)) | hBOOL(hAPP(hAPP(c_member(_u15473), skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472)), _u15474)) )).
% 12.32/12.52 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15473), _u15474)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15475), _u15477), _u15474) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15476), _u15477), _u15474)) | ( hAPP(_u15475, skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472)) != hAPP(_u15476, skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setprod__dvd__setprod__subset2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setprod__dvd__setprod__subset2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15480), _u15481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15480, tc_HOL_Obool)), _u15482), _u15481)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15483), _u15482)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15484), _u15481))) | hBOOL(hAPP(hAPP(c_member(_u15480), skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479)), _u15482)) )).
% 12.32/12.52 cnf(fact_setprod__dvd__setprod__subset2-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15480), _u15481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15480, tc_HOL_Obool)), _u15482), _u15481)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15483), _u15482)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15484), _u15481))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(_u15483, skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479))), hAPP(_u15484, skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15486), _u15487)) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15488), _u15487)) | ( c_Big__Operators_Olinorder__class_OMin(_u15486, _u15487) = _u15488) | hBOOL(hAPP(hAPP(c_member(_u15486), skolem374(_u15488, _u15487, _u15486)), _u15487)) )).
% 12.32/12.52 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15486), _u15487)) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15488), _u15487)) | ( c_Big__Operators_Olinorder__class_OMin(_u15486, _u15487) = _u15488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15486), _u15488), skolem374(_u15488, _u15487, _u15486))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15490), _u15491)) | ~hBOOL(hAPP(hAPP(c_member(_u15490), _u15492), _u15491)) | ( c_Big__Operators_Olinorder__class_OMax(_u15490, _u15491) = _u15492) | hBOOL(hAPP(hAPP(c_member(_u15490), skolem375(_u15492, _u15491, _u15490)), _u15491)) )).
% 12.32/12.52 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15490), _u15491)) | ~hBOOL(hAPP(hAPP(c_member(_u15490), _u15492), _u15491)) | ( c_Big__Operators_Olinorder__class_OMax(_u15490, _u15491) = _u15492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15490), skolem375(_u15492, _u15491, _u15490)), _u15492)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u15494, _u15495) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15494, _u15494)), hAPP(hAPP(c_Product__Type_OPair(_u15494, _u15494), hAPP(_u15496, hAPP(c_Nat_OSuc, skolem376(_u15496, _u15495, _u15494)))), hAPP(_u15496, skolem376(_u15496, _u15495, _u15494)))), _u15495)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15498) | ~c_Fun_Oinj__on(_u15499, _u15500, _u15501, _u15502) | ( _u15503 != hAPP(c_Set_Oimage(_u15499, _u15500, _u15501), _u15502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15500, _u15498), _u15505), _u15503) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15499, _u15498), _u15504), _u15502)) | hBOOL(hAPP(hAPP(c_member(_u15499), skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)), _u15502)) )).
% 12.32/12.52 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15498) | ~c_Fun_Oinj__on(_u15499, _u15500, _u15501, _u15502) | ( _u15503 != hAPP(c_Set_Oimage(_u15499, _u15500, _u15501), _u15502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15500, _u15498), _u15505), _u15503) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15499, _u15498), _u15504), _u15502)) | ( hAPP(_u15504, skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)) != hAPP(_u15505, hAPP(_u15501, skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 12.32/12.52 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), _u15508), _u15510)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15508), _u15510)) )).
% 12.32/12.52 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), _u15511)) | 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), _u15509), _u15511)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15512, _u15513) | c_Wellfounded_Owf(_u15512, c_Transitive__Closure_Otrancl(_u15512, _u15513)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15518, _u15520) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15518, _u15518)), hAPP(hAPP(c_Product__Type_OPair(_u15518, _u15518), _u15514), _u15514)), c_Transitive__Closure_Otrancl(_u15518, _u15520))) )).
% 12.32/12.52 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15519, _u15519)), hAPP(hAPP(c_Product__Type_OPair(_u15519, _u15519), skolem378(_u15521, _u15519)), skolem378(_u15521, _u15519))), c_Transitive__Closure_Otrancl(_u15519, _u15521))) | c_Wellfounded_Oacyclic(_u15519, _u15521) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15522, _u15522)), hAPP(hAPP(c_Product__Type_OPair(_u15522, _u15522), _u15523), _u15524)), _u15525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15522, _u15522)), hAPP(hAPP(c_Product__Type_OPair(_u15522, _u15522), _u15523), _u15524)), c_Transitive__Closure_Otrancl(_u15522, _u15525))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15526, _u15526), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15526, _u15527)), hAPP(hAPP(c_Product__Type_OSigma(_u15526, _u15526), hAPP(c_Relation_OField(_u15526), _u15527)), hAPP(c_COMBK(tc_fun(_u15526, tc_HOL_Obool), _u15526), hAPP(c_Relation_OField(_u15526), _u15527))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), _u15529), _u15530)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), _u15529), c_Transitive__Closure_Otrancl(_u15528, _u15530))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15531, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15531, _u15531), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15531, _u15531), tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15532, _u15532), c_Transitive__Closure_Otrancl(_u15532, _u15533)) = hAPP(c_Relation_ODomain(_u15532, _u15532), _u15533)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u15534, _u15534), c_Transitive__Closure_Otrancl(_u15534, _u15535)) = hAPP(c_Relation_ORange(_u15534, _u15534), _u15535)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15538, _u15538)), c_Transitive__Closure_Otrancl(_u15538, _u15540))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15538, _u15538)), _u15540)) )).
% 12.32/12.52 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15539, _u15539)), _u15541)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15539, _u15539)), c_Transitive__Closure_Otrancl(_u15539, _u15541))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15543), _u15544)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15544), _u15546)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15543), _u15546)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15548), _u15549)), c_Transitive__Closure_Otrancl(_u15547, _u15550))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15549), _u15551)), _u15550)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15548), _u15551)), c_Transitive__Closure_Otrancl(_u15547, _u15550))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15553), _u15554)), _u15555)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15554), _u15556)), c_Transitive__Closure_Otrancl(_u15552, _u15555))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15553), _u15556)), c_Transitive__Closure_Otrancl(_u15552, _u15555))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15558), _u15559)), _u15560)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15559), _u15561)), _u15560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15558), _u15561)), c_Transitive__Closure_Otrancl(_u15557, _u15560))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15562, _u15562)), _u15563), c_Transitive__Closure_Otrancl(_u15562, _u15564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15562, _u15562), tc_HOL_Obool)), _u15564), _u15565)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15562, _u15562)), _u15563), c_Transitive__Closure_Otrancl(_u15562, _u15565))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15566, _u15567) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15566, _u15566), tc_HOL_Obool)), _u15567), hAPP(hAPP(c_Relation_Orel__comp(_u15566, _u15566, _u15566), c_Transitive__Closure_Otrancl(_u15566, _u15567)), _u15567))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15568, _u15568), tc_HOL_Obool)), _u15569), hAPP(hAPP(c_Product__Type_OSigma(_u15568, _u15568), _u15570), hAPP(c_COMBK(tc_fun(_u15568, tc_HOL_Obool), _u15568), _u15570)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15568, _u15568), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15568, _u15569)), hAPP(hAPP(c_Product__Type_OSigma(_u15568, _u15568), _u15570), hAPP(c_COMBK(tc_fun(_u15568, tc_HOL_Obool), _u15568), _u15570)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), _u15572), _u15573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15571, _u15571, _u15571), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15571, _u15572)), _u15573)), _u15572)), _u15573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15571, _u15572)), _u15573)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15574, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), _u15575), _u15576)), _u15577)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15574, _u15577)), hAPP(c_Set_OCollect(tc_prod(_u15574, _u15574)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15574, _u15574, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15574, tc_fun(_u15574, tc_HOL_Obool), tc_fun(_u15574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15574, tc_HOL_Obool), tc_fun(_u15574, tc_HOL_Obool)), _u15574), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15574)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15574), c_fconj), hAPP(hAPP(c_COMBC(_u15574, tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15574, _u15574), tc_fun(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), _u15574), c_member(tc_prod(_u15574, _u15574))), hAPP(hAPP(c_COMBC(_u15574, _u15574, tc_prod(_u15574, _u15574)), c_Product__Type_OPair(_u15574, _u15574)), _u15575))), c_Transitive__Closure_Ortrancl(_u15574, _u15577))))), hAPP(hAPP(c_COMBC(_u15574, tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15574, _u15574), tc_fun(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), _u15574), c_member(tc_prod(_u15574, _u15574))), hAPP(c_Product__Type_OPair(_u15574, _u15574), _u15576))), c_Transitive__Closure_Ortrancl(_u15574, _u15577))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15582, tc_fun(_u15582, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15582, tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_fun(_u15582, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15582, tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_fun(_u15582, tc_HOL_Obool)), _u15582), c_COMBC(_u15582, tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15582, tc_prod(_u15582, _u15582)), tc_fun(_u15582, tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), _u15582), hAPP(c_COMBB(tc_prod(_u15582, _u15582), tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool), _u15582), c_member(tc_prod(_u15582, _u15582)))), c_Product__Type_OPair(_u15582, _u15582)))), _u15584)), c_fequal), _u15586), _u15588)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15582, _u15582)), hAPP(hAPP(c_Product__Type_OPair(_u15582, _u15582), _u15586), _u15588)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool)), _u15584), c_Relation_OId(_u15582)))) )).
% 12.32/12.52 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15583, _u15583)), hAPP(hAPP(c_Product__Type_OPair(_u15583, _u15583), _u15587), _u15589)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool)), _u15585), c_Relation_OId(_u15583)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15583, tc_fun(_u15583, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15583, tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_fun(_u15583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15583, tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_fun(_u15583, tc_HOL_Obool)), _u15583), c_COMBC(_u15583, tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15583, tc_prod(_u15583, _u15583)), tc_fun(_u15583, tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), _u15583), hAPP(c_COMBB(tc_prod(_u15583, _u15583), tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool), _u15583), c_member(tc_prod(_u15583, _u15583)))), c_Product__Type_OPair(_u15583, _u15583)))), _u15585)), c_fequal), _u15587), _u15589)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), _u15591), _u15592)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), _u15591), c_Transitive__Closure_Ortrancl(_u15590, _u15592))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15593, _u15593)), hAPP(hAPP(c_Product__Type_OPair(_u15593, _u15593), _u15594), _u15594)), c_Transitive__Closure_Ortrancl(_u15593, _u15595))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_IdI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15596, _u15596)), hAPP(hAPP(c_Product__Type_OPair(_u15596, _u15596), _u15597), _u15597)), c_Relation_OId(_u15596))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15598, _u15598)), hAPP(hAPP(c_Product__Type_OPair(_u15598, _u15598), _u15599), _u15600)), c_Transitive__Closure_Otrancl(_u15598, _u15601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15598, _u15598)), hAPP(hAPP(c_Product__Type_OPair(_u15598, _u15598), _u15599), _u15600)), c_Transitive__Closure_Ortrancl(_u15598, _u15601))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15602, _u15603) = hAPP(hAPP(c_Relation_Orel__comp(_u15602, _u15602, _u15602), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15603))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15604, _u15605) = hAPP(hAPP(c_Relation_Orel__comp(_u15604, _u15604, _u15604), c_Transitive__Closure_Ortrancl(_u15604, _u15605)), _u15605)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), _u15607), c_Relation_OId(_u15606))) = c_Transitive__Closure_Ortrancl(_u15606, _u15607)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15608, _u15608), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15608, _u15609)), c_Relation_OId(_u15608)) = c_Transitive__Closure_Ortrancl(_u15608, _u15609)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15610, c_Transitive__Closure_Ortrancl(_u15610, _u15611)) = c_Transitive__Closure_Ortrancl(_u15610, _u15611)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15612, c_Transitive__Closure_Otrancl(_u15612, _u15613)) = c_Transitive__Closure_Ortrancl(_u15612, _u15613)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15615), _u15616)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15616), _u15618)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15615), _u15618)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15620), _u15621)), c_Transitive__Closure_Ortrancl(_u15619, _u15622))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15621), _u15623)), _u15622)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15620), _u15623)), c_Transitive__Closure_Ortrancl(_u15619, _u15622))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15625), _u15626)), _u15627)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15626), _u15628)), c_Transitive__Closure_Ortrancl(_u15624, _u15627))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15625), _u15628)), c_Transitive__Closure_Ortrancl(_u15624, _u15627))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15629, c_Transitive__Closure_Ortrancl(_u15629, _u15630)) = c_Transitive__Closure_Ortrancl(_u15629, _u15630)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u15631, c_Orderings_Otop__class_Otop(tc_fun(_u15631, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15631, _u15632)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15633, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15633, _u15633), tc_HOL_Obool)), _u15634), c_Relation_OId(_u15633))) = c_Transitive__Closure_Ortrancl(_u15633, _u15634)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15635, _u15635), tc_HOL_Obool)), _u15636), _u15637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15635, _u15635), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15635, _u15636)), c_Transitive__Closure_Ortrancl(_u15635, _u15637))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15638, _u15638), tc_HOL_Obool)), _u15639), _u15640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15638, _u15638), tc_HOL_Obool)), _u15640), c_Transitive__Closure_Ortrancl(_u15638, _u15639))) | ( c_Transitive__Closure_Ortrancl(_u15638, _u15640) = c_Transitive__Closure_Ortrancl(_u15638, _u15639)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15641, _u15641), tc_HOL_Obool)), _u15642), c_Transitive__Closure_Ortrancl(_u15641, _u15643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15641, _u15641), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15641, _u15642)), c_Transitive__Closure_Ortrancl(_u15641, _u15643))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15644, _u15644), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15644, _u15645)), c_Relation_OId(_u15644)) = c_Transitive__Closure_Ortrancl(_u15644, _u15645)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15646, _u15646), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15646, _u15647)), c_Transitive__Closure_Ortrancl(_u15646, _u15648))) = c_Transitive__Closure_Ortrancl(_u15646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15646, _u15646), tc_HOL_Obool)), _u15647), _u15648))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15649, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15649, _u15649), tc_HOL_Obool)), _u15650), c_Relation_OId(_u15649))) = c_Transitive__Closure_Ortrancl(_u15649, _u15650)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15651, _u15652)), c_Transitive__Closure_Ortrancl(_u15651, _u15653))), c_Transitive__Closure_Ortrancl(_u15651, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), _u15652), _u15653)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15654, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15654, _u15654, _u15655), _u15656)), _u15656)) | ( hAPP(c_Relation_OImage(_u15654, _u15654, c_Transitive__Closure_Ortrancl(_u15654, _u15655)), _u15656) = _u15656) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15657, _u15657), tc_HOL_Obool)), _u15659), _u15660)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, _u15659))) )).
% 12.32/12.52 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15657, _u15657), tc_HOL_Obool)), _u15659), _u15660)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, _u15660))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15661, _u15662) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15661, _u15661), tc_HOL_Obool)), c_Relation_OId(_u15661)), hAPP(hAPP(c_Relation_Orel__comp(_u15661, _u15661, _u15661), c_Transitive__Closure_Ortrancl(_u15661, _u15662)), _u15662))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15663, _u15663, _u15663), c_Transitive__Closure_Ortrancl(_u15663, _u15664)), c_Transitive__Closure_Ortrancl(_u15663, _u15664)) = c_Transitive__Closure_Ortrancl(_u15663, _u15664)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15665, _u15665, _u15665), _u15666), c_Transitive__Closure_Ortrancl(_u15665, _u15666)) = hAPP(hAPP(c_Relation_Orel__comp(_u15665, _u15665, _u15665), c_Transitive__Closure_Ortrancl(_u15665, _u15666)), _u15666)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Relation_OId(_u15667)), _u15668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15667, _u15667, _u15667), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15667, _u15669)), _u15668)), _u15669)), _u15668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15667, _u15669)), _u15668)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15670, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15670, _u15670), tc_HOL_Obool))) = c_Relation_OId(_u15670)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u15671, _u15671), c_Transitive__Closure_Ortrancl(_u15671, _u15672)) = c_Orderings_Otop__class_Otop(tc_fun(_u15671, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15673, _u15673), c_Transitive__Closure_Ortrancl(_u15673, _u15674)) = c_Orderings_Otop__class_Otop(tc_fun(_u15673, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15675, _u15676, _u15676), _u15677), c_Relation_OId(_u15676)) = _u15677) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15678, _u15678, _u15679), c_Relation_OId(_u15678)), _u15680) = _u15680) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u15681, _u15681, c_Relation_OId(_u15681)), _u15682) = _u15682) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u15688 = _u15690) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15686, _u15686)), hAPP(hAPP(c_Product__Type_OPair(_u15686, _u15686), _u15688), _u15690)), c_Relation_OId(_u15686))) )).
% 12.32/12.52 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u15689 != _u15691) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15689), _u15691)), c_Relation_OId(_u15687))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15693), _u15694)), c_Transitive__Closure_Ortrancl(_u15692, _u15695))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15694), _u15696)), c_Transitive__Closure_Otrancl(_u15692, _u15695))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15693), _u15696)), c_Transitive__Closure_Otrancl(_u15692, _u15695))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15698), _u15699)), c_Transitive__Closure_Otrancl(_u15697, _u15700))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15699), _u15701)), c_Transitive__Closure_Ortrancl(_u15697, _u15700))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15698), _u15701)), c_Transitive__Closure_Otrancl(_u15697, _u15700))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15703), _u15704)), c_Transitive__Closure_Ortrancl(_u15702, _u15705))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15704), _u15706)), _u15705)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15703), _u15706)), c_Transitive__Closure_Otrancl(_u15702, _u15705))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15707, _u15707)), hAPP(hAPP(c_Product__Type_OPair(_u15707, _u15707), _u15708), _u15709)), c_Transitive__Closure_Ortrancl(_u15707, _u15710))) | ( _u15708 = _u15709) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15707, _u15707)), hAPP(hAPP(c_Product__Type_OPair(_u15707, _u15707), _u15708), _u15709)), c_Transitive__Closure_Otrancl(_u15707, _u15710))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15712), _u15713)), _u15714)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15713), _u15715)), c_Transitive__Closure_Ortrancl(_u15711, _u15714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15712), _u15715)), c_Transitive__Closure_Otrancl(_u15711, _u15714))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15720, _u15720)), hAPP(hAPP(c_Product__Type_OPair(_u15720, _u15720), _u15722), _u15724)), c_Transitive__Closure_Ortrancl(_u15720, _u15726))) | ( _u15722 = _u15724) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15720, _u15720)), hAPP(hAPP(c_Product__Type_OPair(_u15720, _u15720), _u15722), _u15724)), c_Transitive__Closure_Otrancl(_u15720, _u15726))) )).
% 12.32/12.52 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Ortrancl(_u15721, _u15727))) | ( _u15723 != _u15725) )).
% 12.32/12.52 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Ortrancl(_u15721, _u15727))) | ( _u15723 = _u15725) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Otrancl(_u15721, _u15727))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15728, _u15728), c_Relation_OId(_u15728)) = c_Orderings_Otop__class_Otop(tc_fun(_u15728, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u15729, _u15729), c_Relation_OId(_u15729)) = c_Orderings_Otop__class_Otop(tc_fun(_u15729, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u15730, c_Orderings_Otop__class_Otop(tc_fun(_u15730, tc_HOL_Obool)), c_Relation_OId(_u15730)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_pair__leq__def-1, axiom, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15731), _u15732), hAPP(c_Relation_ODomain(_u15731, _u15731), _u15733))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), hAPP(hAPP(c_Product__Type_OPair(_u15731, _u15731), _u15732), _u15734)), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) | ( _u15732 = _u15734) )).
% 12.32/12.52 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15731), _u15732), hAPP(c_Relation_ODomain(_u15731, _u15731), _u15733))) | ( _u15732 != _u15734) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), hAPP(hAPP(c_Product__Type_OPair(_u15731, _u15731), _u15732), _u15734)), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15735, _u15735)), hAPP(hAPP(c_Product__Type_OPair(_u15735, _u15735), _u15736), _u15737)), c_Transitive__Closure_Ortrancl(_u15735, _u15738))) | ~hBOOL(hAPP(hAPP(c_member(_u15735), _u15737), c_Wellfounded_Oacc(_u15735, _u15738))) | hBOOL(hAPP(hAPP(c_member(_u15735), _u15736), c_Wellfounded_Oacc(_u15735, _u15738))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15739), _u15740), c_Wellfounded_Oacc(_u15739, _u15741))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15739, _u15739)), hAPP(hAPP(c_Product__Type_OPair(_u15739, _u15739), _u15742), _u15740)), c_Transitive__Closure_Ortrancl(_u15739, _u15741))) | hBOOL(hAPP(hAPP(c_member(_u15739), _u15742), c_Wellfounded_Oacc(_u15739, _u15741))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u15747, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15749), _u15751)), _u15753)) | c_Wellfounded_Owf(_u15747, _u15753) )).
% 12.32/12.52 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u15747, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15749), _u15751)), _u15753)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15751), _u15749)), c_Transitive__Closure_Ortrancl(_u15747, _u15753))) )).
% 12.32/12.52 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u15748, _u15754) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15748, _u15748)), hAPP(hAPP(c_Product__Type_OPair(_u15748, _u15748), _u15752), _u15750)), c_Transitive__Closure_Ortrancl(_u15748, _u15754))) | c_Wellfounded_Owf(_u15748, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15748, _u15748)), hAPP(hAPP(c_Product__Type_OPair(_u15748, _u15748), _u15750), _u15752)), _u15754)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15759, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), _u15765)) | c_Wellfounded_Oacyclic(_u15759, _u15765) )).
% 12.32/12.52 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15759, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), _u15765)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15763), _u15761)), c_Transitive__Closure_Ortrancl(_u15759, _u15765))) )).
% 12.32/12.52 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u15760, _u15766) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15760, _u15760)), hAPP(hAPP(c_Product__Type_OPair(_u15760, _u15760), _u15764), _u15762)), c_Transitive__Closure_Ortrancl(_u15760, _u15766))) | c_Wellfounded_Oacyclic(_u15760, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15760, _u15760)), hAPP(hAPP(c_Product__Type_OPair(_u15760, _u15760), _u15762), _u15764)), _u15766)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u15767, c_Orderings_Otop__class_Otop(tc_fun(_u15767, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15767, _u15767), tc_HOL_Obool)), _u15768), c_Relation_OId(_u15767))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u15769) = hAPP(c_Set_OCollect(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_COMBB(tc_fun(_u15769, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15769, _u15769)), c_HOL_OEx(_u15769)), hAPP(hAPP(c_COMBC(tc_prod(_u15769, _u15769), tc_fun(_u15769, tc_prod(_u15769, _u15769)), tc_fun(_u15769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15769, _u15769), tc_HOL_Obool), tc_fun(tc_fun(_u15769, tc_prod(_u15769, _u15769)), tc_fun(_u15769, tc_HOL_Obool)), tc_prod(_u15769, _u15769)), c_COMBB(tc_prod(_u15769, _u15769), tc_HOL_Obool, _u15769)), c_fequal)), hAPP(hAPP(c_COMBS(_u15769, _u15769, tc_prod(_u15769, _u15769)), c_Product__Type_OPair(_u15769, _u15769)), c_COMBI(_u15769)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u15770, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15770, _u15770), tc_HOL_Obool)), _u15771), c_Relation_OId(_u15770))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 12.32/12.52 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), _u15774), _u15776)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15774), _u15776)) )).
% 12.32/12.52 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15775), _u15777)) | 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), _u15775), _u15777)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15778, _u15778)), hAPP(hAPP(c_Product__Type_OPair(_u15778, _u15778), _u15779), _u15780)), c_Transitive__Closure_Ortrancl(_u15778, _u15781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15778, _u15778), tc_HOL_Obool)), _u15781), hAPP(hAPP(c_Product__Type_OSigma(_u15778, _u15778), _u15782), hAPP(c_COMBK(tc_fun(_u15778, tc_HOL_Obool), _u15778), _u15782)))) | ( _u15779 = _u15780) | hBOOL(hAPP(hAPP(c_member(_u15778), _u15779), _u15782)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15783, _u15783), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15783, _u15783), _u15784)), c_Transitive__Closure_Ortrancl(_u15783, _u15784)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15783, _u15783), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15783, _u15783)), hAPP(hAPP(c_Product__Type_OPair(_u15783, _u15783), _u15785), _u15785)), c_Transitive__Closure_Otrancl(_u15783, _u15784))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15787, _u15787)), hAPP(hAPP(c_Product__Type_OPair(_u15787, _u15787), hAPP(_u15788, hAPP(c_Nat_OSuc, skolem379(_u15791, _u15790, _u15789, _u15788, _u15787)))), hAPP(_u15788, skolem379(_u15791, _u15790, _u15789, _u15788, _u15787)))), c_Transitive__Closure_Ortrancl(_u15787, _u15789))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15787, _u15787)), hAPP(hAPP(c_Product__Type_OPair(_u15787, _u15787), hAPP(_u15788, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15790), _u15791))), hAPP(_u15788, _u15790))), c_Transitive__Closure_Ortrancl(_u15787, _u15789))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15792, hAPP(c_Relation_Oconverse(_u15792, _u15792), _u15793)) = hAPP(c_Relation_Oconverse(_u15792, _u15792), c_Transitive__Closure_Ortrancl(_u15792, _u15793))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15794, _u15794), c_Relation_OId(_u15794)) = c_Relation_OId(_u15794)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15795, _u15796, _u15797) | ( hAPP(hAPP(c_Relation_Orel__comp(_u15795, _u15795, _u15795), hAPP(c_Relation_Oconverse(_u15795, _u15795), _u15797)), _u15797) = _u15797) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15798, _u15799), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(tc_prod(_u15798, _u15799), tc_HOL_Obool)), _u15801), _u15802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(tc_prod(_u15799, _u15798), tc_HOL_Obool)), _u15801), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15798, _u15799), tc_HOL_Obool), tc_fun(tc_prod(_u15799, _u15798), tc_HOL_Obool), _u15800), c_Relation_Oconverse(_u15798, _u15799)), _u15802))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converseD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15803, _u15804)), hAPP(hAPP(c_Product__Type_OPair(_u15803, _u15804), _u15805), _u15806)), hAPP(c_Relation_Oconverse(_u15804, _u15803), _u15807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15804, _u15803)), hAPP(hAPP(c_Product__Type_OPair(_u15804, _u15803), _u15806), _u15805)), _u15807)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converseI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15808, _u15809)), hAPP(hAPP(c_Product__Type_OPair(_u15808, _u15809), _u15810), _u15811)), _u15812)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15809, _u15808)), hAPP(hAPP(c_Product__Type_OPair(_u15809, _u15808), _u15811), _u15810)), hAPP(c_Relation_Oconverse(_u15808, _u15809), _u15812))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15818, _u15820)), hAPP(hAPP(c_Product__Type_OPair(_u15818, _u15820), _u15822), _u15824)), hAPP(c_Relation_Oconverse(_u15820, _u15818), _u15826))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15820, _u15818)), hAPP(hAPP(c_Product__Type_OPair(_u15820, _u15818), _u15824), _u15822)), _u15826)) )).
% 12.32/12.52 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15821, _u15819)), hAPP(hAPP(c_Product__Type_OPair(_u15821, _u15819), _u15825), _u15823)), _u15827)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15819, _u15821)), hAPP(hAPP(c_Product__Type_OPair(_u15819, _u15821), _u15823), _u15825)), hAPP(c_Relation_Oconverse(_u15821, _u15819), _u15827))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15828, _u15828), hAPP(hAPP(c_Relation_Oinv__image(_u15829, _u15828), _u15830), _u15831)) = hAPP(hAPP(c_Relation_Oinv__image(_u15829, _u15828), hAPP(c_Relation_Oconverse(_u15829, _u15829), _u15830)), _u15831)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15832, _u15832), c_Relation_OId__on(_u15832, _u15833)) = c_Relation_OId__on(_u15832, _u15833)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u15834), hAPP(c_Relation_Oconverse(_u15834, _u15834), _u15835)) = hAPP(c_Relation_OField(_u15834), _u15835)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15836, _u15837), hAPP(c_Relation_Oconverse(_u15837, _u15836), _u15838)) = _u15838) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15839, _u15840), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15839, _u15840), tc_HOL_Obool)), _u15841), _u15842)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15840, _u15839), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15839, _u15840), _u15841)), hAPP(c_Relation_Oconverse(_u15839, _u15840), _u15842))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u15846, _u15848, hAPP(c_Relation_Oconverse(_u15846, _u15846), _u15850)) | c_Relation_Orefl__on(_u15846, _u15848, _u15850) )).
% 12.32/12.52 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u15847, _u15849, _u15851) | c_Relation_Orefl__on(_u15847, _u15849, hAPP(c_Relation_Oconverse(_u15847, _u15847), _u15851)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15855, _u15857)), hAPP(c_Relation_Oconverse(_u15857, _u15855), _u15859))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15857, _u15855)), _u15859)) )).
% 12.32/12.52 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15858, _u15856)), _u15860)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15856, _u15858)), hAPP(c_Relation_Oconverse(_u15858, _u15856), _u15860))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15861, _u15862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15861, _u15862), tc_HOL_Obool)), _u15863), _u15864)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15862, _u15861), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15861, _u15862), _u15863)), hAPP(c_Relation_Oconverse(_u15861, _u15862), _u15864))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15865, _u15866), hAPP(hAPP(c_Relation_Orel__comp(_u15865, _u15867, _u15866), _u15868), _u15869)) = hAPP(hAPP(c_Relation_Orel__comp(_u15866, _u15867, _u15865), hAPP(c_Relation_Oconverse(_u15867, _u15866), _u15869)), hAPP(c_Relation_Oconverse(_u15865, _u15867), _u15868))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15872, hAPP(c_Relation_Oconverse(_u15872, _u15872), _u15874)) | c_Wellfounded_Oacyclic(_u15872, _u15874) )).
% 12.32/12.52 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15873, _u15875) | c_Wellfounded_Oacyclic(_u15873, hAPP(c_Relation_Oconverse(_u15873, _u15873), _u15875)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u15876, _u15877), hAPP(c_Relation_Oconverse(_u15877, _u15876), _u15878)) = hAPP(c_Relation_ODomain(_u15877, _u15876), _u15878)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15879, _u15880), hAPP(c_Relation_Oconverse(_u15880, _u15879), _u15881)) = hAPP(c_Relation_ORange(_u15880, _u15879), _u15881)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u15882, _u15883), _u15884) = hAPP(c_Relation_ODomain(_u15883, _u15882), hAPP(c_Relation_Oconverse(_u15882, _u15883), _u15884))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15885, hAPP(c_Relation_Oconverse(_u15885, _u15885), _u15886)) | c_Wellfounded_Owf(_u15885, hAPP(c_Relation_Oconverse(_u15885, _u15885), c_Transitive__Closure_Otrancl(_u15885, _u15886))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15887, hAPP(c_Relation_Oconverse(_u15887, _u15887), _u15888)) = hAPP(c_Relation_Oconverse(_u15887, _u15887), c_Transitive__Closure_Otrancl(_u15887, _u15888))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15889, _u15889)), hAPP(hAPP(c_Product__Type_OPair(_u15889, _u15889), _u15890), _u15891)), c_Transitive__Closure_Ortrancl(_u15889, _u15892))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15889, _u15889)), hAPP(hAPP(c_Product__Type_OPair(_u15889, _u15889), _u15891), _u15890)), c_Transitive__Closure_Ortrancl(_u15889, hAPP(c_Relation_Oconverse(_u15889, _u15889), _u15892)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15893, _u15893)), hAPP(hAPP(c_Product__Type_OPair(_u15893, _u15893), _u15894), _u15895)), c_Transitive__Closure_Ortrancl(_u15893, hAPP(c_Relation_Oconverse(_u15893, _u15893), _u15896)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15893, _u15893)), hAPP(hAPP(c_Product__Type_OPair(_u15893, _u15893), _u15895), _u15894)), c_Transitive__Closure_Ortrancl(_u15893, _u15896))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15897, _u15897)), hAPP(hAPP(c_Product__Type_OPair(_u15897, _u15897), _u15898), _u15899)), hAPP(c_Relation_Oconverse(_u15897, _u15897), c_Transitive__Closure_Otrancl(_u15897, _u15900)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15897, _u15897)), hAPP(hAPP(c_Product__Type_OPair(_u15897, _u15897), _u15898), _u15899)), c_Transitive__Closure_Otrancl(_u15897, hAPP(c_Relation_Oconverse(_u15897, _u15897), _u15900)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15901, _u15901)), hAPP(hAPP(c_Product__Type_OPair(_u15901, _u15901), _u15902), _u15903)), c_Transitive__Closure_Otrancl(_u15901, hAPP(c_Relation_Oconverse(_u15901, _u15901), _u15904)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15901, _u15901)), hAPP(hAPP(c_Product__Type_OPair(_u15901, _u15901), _u15902), _u15903)), hAPP(c_Relation_Oconverse(_u15901, _u15901), c_Transitive__Closure_Otrancl(_u15901, _u15904)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15910, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15912, _u15910, _u15914), _u15916)), _u15918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15912, tc_HOL_Obool)), _u15916), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15912, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15910, _u15912, hAPP(c_Relation_Oconverse(_u15912, _u15910), _u15914)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15910, tc_HOL_Obool)), _u15918))))) )).
% 12.32/12.52 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15913, tc_HOL_Obool)), _u15917), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15911, _u15913, hAPP(c_Relation_Oconverse(_u15913, _u15911), _u15915)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15911, tc_HOL_Obool)), _u15919))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15911, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15913, _u15911, _u15915), _u15917)), _u15919)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u15920, _u15921, _u15922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15920, _u15920), tc_HOL_Obool)), _u15922), hAPP(hAPP(c_Relation_Orel__comp(_u15920, _u15920, _u15920), hAPP(c_Relation_Oconverse(_u15920, _u15920), _u15922)), _u15922))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15923, _u15923, _u15923), hAPP(c_Relation_Oconverse(_u15923, _u15923), _u15924)), _u15924) != _u15924) | ( hAPP(c_Relation_ODomain(_u15923, _u15923), _u15924) != _u15925) | c_Equiv__Relations_Oequiv(_u15923, _u15925, _u15924) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15926, _u15926)), _u15927)) | ~c_Wellfounded_Oacyclic(_u15926, _u15927) | c_Wellfounded_Owf(_u15926, hAPP(c_Relation_Oconverse(_u15926, _u15926), _u15927)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15928, _u15929), _u15930) = hAPP(c_Set_OCollect(tc_prod(_u15929, _u15928)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15929, _u15928, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15929, tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_fun(_u15928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15928, tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_fun(_u15928, tc_HOL_Obool)), _u15929), c_COMBC(_u15928, tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15928, tc_prod(_u15928, _u15929)), tc_fun(_u15928, tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), _u15929), hAPP(c_COMBB(tc_prod(_u15928, _u15929), tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool), _u15928), c_member(tc_prod(_u15928, _u15929)))), hAPP(c_COMBC(_u15928, _u15929, tc_prod(_u15928, _u15929)), c_Product__Type_OPair(_u15928, _u15929))))), _u15930)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u15934, _u15936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15934, _u15934), tc_HOL_Obool)), _u15938), c_Relation_OId(_u15934))) | c_Relation_Ototal__on(_u15934, _u15936, _u15938) )).
% 12.32/12.52 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u15935, _u15937, _u15939) | c_Relation_Ototal__on(_u15935, _u15937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15935, _u15935), tc_HOL_Obool)), _u15939), c_Relation_OId(_u15935))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15940, _u15940)), _u15941), c_Transitive__Closure_Ortrancl(_u15940, _u15942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15940, _u15940)), _u15941), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u15940, _u15940), 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(_u15940, _u15940), tc_HOL_Obool), tc_fun(tc_prod(_u15940, _u15940), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u15940, _u15940), tc_HOL_Obool)), _u15942)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15948, _u15948)), _u15950), c_Transitive__Closure_Ortrancl(_u15948, _u15952))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15948, _u15948)), _u15950), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15948, _u15948), tc_HOL_Obool), skolem380(_u15952, _u15950, _u15948)), _u15952))) )).
% 12.32/12.52 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15949, _u15949)), _u15951), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15949, _u15949), tc_HOL_Obool), _u15944), _u15953))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15949, _u15949)), _u15951), c_Transitive__Closure_Ortrancl(_u15949, _u15953))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15954)), _u15955), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15954, _u15954), tc_HOL_Obool), _u15956), _u15957))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15954)), _u15955), c_Transitive__Closure_Ortrancl(_u15954, _u15957))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15958, _u15958), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15959) = c_Relation_OId(_u15958)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15960, _u15960), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u15961) = _u15961) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15963), _u15964)), _u15965) = hAPP(hAPP(c_Relation_Orel__comp(_u15962, _u15962, _u15962), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), _u15963), _u15965)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), _u15964), _u15965))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15966, _u15966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u15967)), _u15968) = hAPP(hAPP(c_Relation_Orel__comp(_u15966, _u15966, _u15966), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15966, _u15966), tc_HOL_Obool), _u15967), _u15968)), _u15968)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15969, _u15969, _u15969), _u15970), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15969, _u15969), tc_HOL_Obool), _u15971), _u15970)) = hAPP(hAPP(c_Relation_Orel__comp(_u15969, _u15969, _u15969), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15969, _u15969), tc_HOL_Obool), _u15971), _u15970)), _u15970)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u15972, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u15973, _u15973), _u15974), _u15972), _u15975)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u15973, _u15973), _u15974), _u15972), hAPP(_u15972, _u15975))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), _u15977), hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), _u15978), _u15979)) = hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15978), _u15977)), _u15979)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u15980, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15980, _u15980), tc_HOL_Obool), _u15981), _u15982)) | c_Wellfounded_Owf(_u15980, _u15982) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u15983, _u15984), tc_fun(_u15983, _u15984)), _u15985), c_Fun_Ocomp(_u15984, _u15984, _u15983, _u15986)) = c_Fun_Ocomp(_u15984, _u15984, _u15983, hAPP(hAPP(c_Nat_Ocompow(_u15984, _u15984), _u15985), _u15986))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u15987, c_Orderings_Obot__class_Obot(tc_fun(_u15987, tc_HOL_Obool)), _u15988) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u15992, _u15994, hAPP(c_Relation_Oconverse(_u15992, _u15992), _u15996)) | c_Relation_Ototal__on(_u15992, _u15994, _u15996) )).
% 12.32/12.52 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u15993, _u15995, _u15997) | c_Relation_Ototal__on(_u15993, _u15995, hAPP(c_Relation_Oconverse(_u15993, _u15993), _u15997)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15998, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15998, _u15998), _u15999), _u15999)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15998, _u15998), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16000))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u16002 = _u16003) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16001, _u16001)), hAPP(hAPP(c_Product__Type_OPair(_u16001, _u16001), _u16002), _u16003)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16001, _u16001), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16004))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16006), _u16007)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16005, _u16005), tc_HOL_Obool), _u16008), _u16009))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16007), _u16010)), _u16009)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16006), _u16010)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16005, _u16005), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16008)), _u16009))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16012), _u16013)), _u16014)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16013), _u16015)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16011, _u16011), tc_HOL_Obool), _u16016), _u16014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16012), _u16015)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16011, _u16011), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16016)), _u16014))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16017, _u16017), hAPP(c_Nat_OSuc, _u16018)), _u16019) = hAPP(c_Fun_Ocomp(_u16017, _u16017, _u16017, _u16019), hAPP(hAPP(c_Nat_Ocompow(_u16017, _u16017), _u16018), _u16019))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16021), _u16022)), _u16023) = hAPP(c_Fun_Ocomp(_u16020, _u16020, _u16020, hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), _u16021), _u16023)), hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), _u16022), _u16023))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16024, _u16024), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16025) = c_Fun_Oid(_u16024)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), c_Transitive__Closure_Otrancl(_u16031, _u16035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem381(_u16035, _u16033, _u16031))) )).
% 12.32/12.52 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), c_Transitive__Closure_Otrancl(_u16031, _u16035))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16031, _u16031), tc_HOL_Obool), skolem381(_u16035, _u16033, _u16031)), _u16035))) )).
% 12.32/12.52 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)), _u16027)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16032, _u16032)), _u16034), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16032, _u16032), tc_HOL_Obool), _u16027), _u16036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16032, _u16032)), _u16034), c_Transitive__Closure_Otrancl(_u16032, _u16036))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u16044, _u16046, _u16048) | ~hBOOL(hAPP(hAPP(c_member(_u16044), _u16038), _u16046)) | ~hBOOL(hAPP(hAPP(c_member(_u16044), _u16037), _u16046)) | ( _u16038 = _u16037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16044, _u16044)), hAPP(hAPP(c_Product__Type_OPair(_u16044, _u16044), _u16038), _u16037)), _u16048)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16044, _u16044)), hAPP(hAPP(c_Product__Type_OPair(_u16044, _u16044), _u16037), _u16038)), _u16048)) )).
% 12.32/12.52 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | hBOOL(hAPP(hAPP(c_member(_u16045), skolem382(_u16049, _u16047, _u16045)), _u16047)) )).
% 12.32/12.52 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | hBOOL(hAPP(hAPP(c_member(_u16045), skolem383(_u16049, _u16047, _u16045)), _u16047)) )).
% 12.32/12.52 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ( skolem382(_u16049, _u16047, _u16045) != skolem383(_u16049, _u16047, _u16045)) )).
% 12.32/12.52 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16045, _u16045)), hAPP(hAPP(c_Product__Type_OPair(_u16045, _u16045), skolem382(_u16049, _u16047, _u16045)), skolem383(_u16049, _u16047, _u16045))), _u16049)) )).
% 12.32/12.52 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16045, _u16045)), hAPP(hAPP(c_Product__Type_OPair(_u16045, _u16045), skolem383(_u16049, _u16047, _u16045)), skolem382(_u16049, _u16047, _u16045))), _u16049)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16050, _u16051) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16050, _u16050), 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(_u16050, _u16050), tc_HOL_Obool), tc_fun(tc_prod(_u16050, _u16050), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16050, _u16050), tc_HOL_Obool)), _u16051))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u16052) = c_Nat_Ocompow(_u16052, _u16052)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16058 = hAPP(c_Nat_OSuc, skolem385(_u16059, _u16058, _u16057, _u16056, _u16055))) )).
% 12.32/12.52 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), skolem385(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16059))) )).
% 12.32/12.52 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16057)), _u16059)) )).
% 12.32/12.52 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | ( _u16058 = hAPP(c_Nat_OSuc, skolem385(_u16059, _u16058, _u16057, _u16056, _u16055))) )).
% 12.32/12.52 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), skolem385(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16059))) )).
% 12.32/12.52 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16057)), _u16059)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16065 = hAPP(c_Nat_OSuc, skolem387(_u16066, _u16065, _u16064, _u16063, _u16062))) )).
% 12.32/12.52 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062))), _u16066)) )).
% 12.32/12.52 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), skolem387(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16066))) )).
% 12.32/12.52 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | ( _u16065 = hAPP(c_Nat_OSuc, skolem387(_u16066, _u16065, _u16064, _u16063, _u16062))) )).
% 12.32/12.52 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062))), _u16066)) )).
% 12.32/12.52 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), skolem387(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16066))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16068, _u16068)), hAPP(hAPP(c_Product__Type_OPair(_u16068, _u16068), skolem388(_u16069, _u16068)), skolem388(_u16069, _u16068))), c_Transitive__Closure_Otrancl(_u16068, _u16069))) | c_Wellfounded_Oacyclic(_u16068, _u16069) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16070, _u16071, hAPP(c_Relation_Oconverse(_u16071, _u16070), _u16072)) | ( hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16071, tc_HOL_Obool)), _u16073), _u16074)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16070, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), _u16073)), hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), _u16074))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), skolem389(_u16081, _u16080, _u16079, _u16078, _u16077)), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) )).
% 12.32/12.52 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), skolem390(_u16081, _u16080, _u16079, _u16078, _u16077)), skolem389(_u16081, _u16080, _u16079, _u16078, _u16077))), _u16081)) )).
% 12.32/12.52 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | ( skolem390(_u16081, _u16080, _u16079, _u16078, _u16077) != skolem389(_u16081, _u16080, _u16079, _u16078, _u16077)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u16082, _u16082, c_Relation_OId__on(_u16082, _u16083)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16084, _u16085), tc_HOL_Obool)), _u16086), _u16087)) | ~c_Relation_Osingle__valued(_u16084, _u16085, _u16087) | c_Relation_Osingle__valued(_u16084, _u16085, _u16086) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u16088, _u16089, _u16090) | ~c_Relation_Osingle__valued(_u16089, _u16091, _u16092) | c_Relation_Osingle__valued(_u16088, _u16091, hAPP(hAPP(c_Relation_Orel__comp(_u16088, _u16089, _u16091), _u16090), _u16092)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u16093, _u16093, c_Relation_OId(_u16093)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u16094, _u16094, _u16095) | c_Relation_Osingle__valued(_u16094, _u16094, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16094, _u16094), tc_HOL_Obool), _u16096), _u16095)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u16106, _u16108, _u16110) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16099), _u16098)), _u16110)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16099), _u16097)), _u16110)) | ( _u16098 = _u16097) )).
% 12.32/12.52 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), skolem391(_u16111, _u16109, _u16107)), skolem392(_u16111, _u16109, _u16107))), _u16111)) )).
% 12.32/12.52 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), skolem391(_u16111, _u16109, _u16107)), skolem393(_u16111, _u16109, _u16107))), _u16111)) )).
% 12.32/12.52 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | ( skolem392(_u16111, _u16109, _u16107) != skolem393(_u16111, _u16109, _u16107)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u16112, _u16113, _u16114) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16112, _u16113)), hAPP(hAPP(c_Product__Type_OPair(_u16112, _u16113), _u16115), _u16116)), _u16114)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16112, _u16113)), hAPP(hAPP(c_Product__Type_OPair(_u16112, _u16113), _u16115), _u16117)), _u16114)) | ( _u16116 = _u16117) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u16118, _u16118, _u16119) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16120), _u16121)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16120), _u16122)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16121), _u16122)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16122), _u16121)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), skolem394(_u16129, _u16128, _u16127, _u16126, _u16125))), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) )).
% 12.32/12.52 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), skolem394(_u16129, _u16128, _u16127, _u16126, _u16125)), skolem395(_u16129, _u16128, _u16127, _u16126, _u16125))), _u16129)) )).
% 12.32/12.52 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | ( skolem394(_u16129, _u16128, _u16127, _u16126, _u16125) != skolem395(_u16129, _u16128, _u16127, _u16126, _u16125)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), _u16133)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16134)), _u16135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), skolem396(_u16135, _u16134, _u16133, _u16132, _u16131))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), _u16134), _u16135))) )).
% 12.32/12.52 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), _u16133)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16134)), _u16135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), skolem396(_u16135, _u16134, _u16133, _u16132, _u16131)), _u16133)), _u16135)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16140)), _u16141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), skolem397(_u16141, _u16140, _u16139, _u16138, _u16137))), _u16141)) )).
% 12.32/12.52 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16140)), _u16141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), skolem397(_u16141, _u16140, _u16139, _u16138, _u16137)), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), _u16140), _u16141))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16146)), _u16147))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), skolem398(_u16147, _u16146, _u16145, _u16144, _u16143))), _u16147)) )).
% 12.32/12.52 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16146)), _u16147))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), skolem398(_u16147, _u16146, _u16145, _u16144, _u16143)), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), _u16146), _u16147))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), _u16151)), c_Transitive__Closure_Otrancl(_u16149, _u16152))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), skolem399(_u16152, _u16151, _u16150, _u16149))), c_Transitive__Closure_Ortrancl(_u16149, _u16152))) )).
% 12.32/12.52 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), _u16151)), c_Transitive__Closure_Otrancl(_u16149, _u16152))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), skolem399(_u16152, _u16151, _u16150, _u16149)), _u16151)), _u16152)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), _u16156)), c_Transitive__Closure_Otrancl(_u16154, _u16157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), skolem400(_u16157, _u16156, _u16155, _u16154))), _u16157)) )).
% 12.32/12.52 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), _u16156)), c_Transitive__Closure_Otrancl(_u16154, _u16157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), skolem400(_u16157, _u16156, _u16155, _u16154)), _u16156)), c_Transitive__Closure_Ortrancl(_u16154, _u16157))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_IdE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16159, _u16159)), _u16160), c_Relation_OId(_u16159))) | ( _u16160 = hAPP(hAPP(c_Product__Type_OPair(_u16159, _u16159), skolem401(_u16160, _u16159)), skolem401(_u16160, _u16159))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16161), _u16162)) | hBOOL(hAPP(hAPP(c_member(_u16161), _u16163), _u16162)) | ( c_Big__Operators_Olattice_OSup__fin(_u16161, c_Orderings_Oord__class_Omax(_u16161), hAPP(hAPP(c_Set_Oinsert(_u16161), _u16163), _u16162)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16161, _u16161, c_Orderings_Oord__class_Omax(_u16161)), _u16163), _u16162)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u16164, _u16165, _u16166, _u16167) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16164), _u16168)) | ( hAPP(hAPP(_u16167, _u16168), _u16169) = hAPP(hAPP(c_Finite__Set_Ofold(_u16164, _u16165, _u16166), _u16169), _u16168)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u16170, _u16171, _u16172), _u16173) = c_Finite__Set_Ofold(_u16171, _u16170, hAPP(hAPP(c_COMBB(_u16170, tc_fun(_u16170, _u16170), _u16171), _u16172), _u16173))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16174, _u16175, _u16176), _u16177), c_Orderings_Obot__class_Obot(tc_fun(_u16174, tc_HOL_Obool))) = _u16177) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16178, _u16179, _u16180), _u16181), _u16182) = c_HOL_OThe(_u16179, c_Finite__Set_Ofold__graph(_u16178, _u16179, _u16180, _u16181, _u16182))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16183), _u16184)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16183, tc_HOL_Obool)), _u16184), _u16185) = hAPP(hAPP(c_Finite__Set_Ofold(_u16183, tc_fun(_u16183, tc_HOL_Obool), c_Set_Oinsert(_u16183)), _u16185), _u16184)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u16186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16186), _u16187)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16186, _u16186, c_Lattices_Osemilattice__sup__class_Osup(_u16186)), _u16188), hAPP(hAPP(c_Set_Oinsert(_u16186), _u16189), _u16187)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16186), _u16189), hAPP(hAPP(c_Finite__Set_Ofold(_u16186, _u16186, c_Lattices_Osemilattice__sup__class_Osup(_u16186)), _u16188), _u16187))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u16190) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16190), _u16191)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16190, _u16190, c_Lattices_Osemilattice__inf__class_Oinf(_u16190)), _u16192), hAPP(hAPP(c_Set_Oinsert(_u16190), _u16193), _u16191)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16190), _u16193), hAPP(hAPP(c_Finite__Set_Ofold(_u16190, _u16190, c_Lattices_Osemilattice__inf__class_Oinf(_u16190)), _u16192), _u16191))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16194), _u16195)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16194, _u16194, c_Orderings_Oord__class_Omin(_u16194)), _u16196), hAPP(hAPP(c_Set_Oinsert(_u16194), _u16197), _u16195)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16194), _u16197), hAPP(hAPP(c_Finite__Set_Ofold(_u16194, _u16194, c_Orderings_Oord__class_Omin(_u16194)), _u16196), _u16195))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16198), _u16199)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16198, _u16198, c_Orderings_Oord__class_Omax(_u16198)), _u16200), hAPP(hAPP(c_Set_Oinsert(_u16198), _u16201), _u16199)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16198), _u16201), hAPP(hAPP(c_Finite__Set_Ofold(_u16198, _u16198, c_Orderings_Oord__class_Omax(_u16198)), _u16200), _u16199))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16202, _u16203, _u16204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16202), _u16205)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16202, _u16203, _u16204), _u16206), hAPP(hAPP(c_Set_Oinsert(_u16202), _u16207), _u16205)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16202, _u16203, _u16204), hAPP(hAPP(_u16204, _u16207), _u16206)), _u16205)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16208, _u16209, _u16210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16208), _u16211)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16208, _u16209, _u16210), _u16212), hAPP(hAPP(c_Set_Oinsert(_u16208), _u16213), _u16211)) = hAPP(hAPP(_u16210, _u16213), hAPP(hAPP(c_Finite__Set_Ofold(_u16208, _u16209, _u16210), _u16212), _u16211))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16215), _u16216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16214), _u16217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16215, _u16214), _u16216), _u16218)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16215, _u16214, hAPP(hAPP(c_COMBB(_u16214, tc_fun(_u16214, _u16214), _u16215), c_Lattices_Osemilattice__sup__class_Osup(_u16214)), _u16218)), _u16217), _u16216)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u16219, _u16220, _u16221) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16219), _u16222)) | ( hAPP(_u16221, hAPP(hAPP(c_Set_Oinsert(_u16219), _u16223), _u16222)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16219, _u16219, _u16220), _u16223), _u16222)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u16224) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16224), _u16225)) | ~hBOOL(hAPP(hAPP(c_member(_u16224), _u16226), _u16225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16224), _u16226), _u16227)), hAPP(hAPP(c_Finite__Set_Ofold(_u16224, _u16224, c_Lattices_Osemilattice__sup__class_Osup(_u16224)), _u16227), _u16225))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u16228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16228), _u16229)) | ~hBOOL(hAPP(hAPP(c_member(_u16228), _u16230), _u16229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16228), hAPP(hAPP(c_Finite__Set_Ofold(_u16228, _u16228, c_Lattices_Osemilattice__inf__class_Oinf(_u16228)), _u16231), _u16229)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16228), _u16230), _u16231))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u16232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16232), _u16233)) | ~hBOOL(hAPP(hAPP(c_member(_u16232), _u16234), _u16233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16232), hAPP(hAPP(c_Finite__Set_Ofold(_u16232, _u16232, c_Orderings_Oord__class_Omin(_u16232)), _u16235), _u16233)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16232), _u16234), _u16235))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u16236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16236), _u16237)) | ~hBOOL(hAPP(hAPP(c_member(_u16236), _u16238), _u16237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16236), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16236), _u16238), _u16239)), hAPP(hAPP(c_Finite__Set_Ofold(_u16236, _u16236, c_Orderings_Oord__class_Omax(_u16236)), _u16239), _u16237))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16240) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16240), _u16241)) | ( hAPP(c_Finite__Set_Ofold1(_u16240, c_Groups_Otimes__class_Otimes(_u16240)), hAPP(hAPP(c_Set_Oinsert(_u16240), _u16242), _u16241)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16240, _u16240, c_Groups_Otimes__class_Otimes(_u16240)), _u16242), _u16241)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u16243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16243), _u16244)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16243, hAPP(hAPP(c_Set_Oinsert(_u16243), _u16245), _u16244)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16243, _u16243, c_Lattices_Osemilattice__sup__class_Osup(_u16243)), _u16245), _u16244)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u16246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16246), _u16247)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16246, hAPP(hAPP(c_Set_Oinsert(_u16246), _u16248), _u16247)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16246, _u16246, c_Lattices_Osemilattice__inf__class_Oinf(_u16246)), _u16248), _u16247)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16249), _u16250)) | ( c_Big__Operators_Olinorder__class_OMin(_u16249, hAPP(hAPP(c_Set_Oinsert(_u16249), _u16251), _u16250)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16249, _u16249, c_Orderings_Oord__class_Omin(_u16249)), _u16251), _u16250)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16252), _u16253)) | ( c_Big__Operators_Olinorder__class_OMax(_u16252, hAPP(hAPP(c_Set_Oinsert(_u16252), _u16254), _u16253)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16252, _u16252, c_Orderings_Oord__class_Omax(_u16252)), _u16254), _u16253)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16255), _u16256)) | ( c_Big__Operators_Olattice_OInf__fin(_u16255, c_Orderings_Oord__class_Omin(_u16255), hAPP(hAPP(c_Set_Oinsert(_u16255), _u16257), _u16256)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16255, _u16255, c_Orderings_Oord__class_Omin(_u16255)), _u16257), _u16256)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16258) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16258), _u16259)) | ( c_Big__Operators_Olattice_OSup__fin(_u16258, c_Orderings_Oord__class_Omax(_u16258), hAPP(hAPP(c_Set_Oinsert(_u16258), _u16260), _u16259)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16258, _u16258, c_Orderings_Oord__class_Omax(_u16258)), _u16260), _u16259)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16261), _u16262)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16261, tc_HOL_Obool)), _u16263), _u16262) = hAPP(hAPP(c_Finite__Set_Ofold(_u16261, tc_fun(_u16261, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16261, tc_HOL_Obool), tc_fun(tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), _u16261), hAPP(c_COMBC(tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u16261, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u16261, tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), c_Set_Oinsert(_u16261)), c_Orderings_Obot__class_Obot(tc_fun(_u16261, tc_HOL_Obool))))), _u16263), _u16262)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u16264, _u16265, _u16266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16264), _u16267)) | hBOOL(hAPP(hAPP(c_member(_u16264), _u16268), _u16267)) | ( hAPP(_u16266, hAPP(hAPP(c_Set_Oinsert(_u16264), _u16268), _u16267)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16264, _u16264, _u16265), _u16268), _u16267)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16269) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16270), _u16271)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16270, _u16269), _u16271), _u16272) = hAPP(hAPP(c_Finite__Set_Ofold(_u16270, _u16269, hAPP(hAPP(c_COMBB(_u16269, tc_fun(_u16269, _u16269), _u16270), c_Lattices_Osemilattice__sup__class_Osup(_u16269)), _u16272)), c_Orderings_Obot__class_Obot(_u16269)), _u16271)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u16273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16273), _u16274)) | hBOOL(hAPP(hAPP(c_member(_u16273), _u16275), _u16274)) | ( hAPP(c_Finite__Set_Ofold1(_u16273, c_Groups_Otimes__class_Otimes(_u16273)), hAPP(hAPP(c_Set_Oinsert(_u16273), _u16275), _u16274)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16273, _u16273, c_Groups_Otimes__class_Otimes(_u16273)), _u16275), _u16274)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u16276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16276), _u16277)) | hBOOL(hAPP(hAPP(c_member(_u16276), _u16278), _u16277)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16276, hAPP(hAPP(c_Set_Oinsert(_u16276), _u16278), _u16277)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16276, _u16276, c_Lattices_Osemilattice__sup__class_Osup(_u16276)), _u16278), _u16277)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u16279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16279), _u16280)) | hBOOL(hAPP(hAPP(c_member(_u16279), _u16281), _u16280)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16279, hAPP(hAPP(c_Set_Oinsert(_u16279), _u16281), _u16280)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16279, _u16279, c_Lattices_Osemilattice__inf__class_Oinf(_u16279)), _u16281), _u16280)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16282), _u16283)) | hBOOL(hAPP(hAPP(c_member(_u16282), _u16284), _u16283)) | ( c_Big__Operators_Olinorder__class_OMin(_u16282, hAPP(hAPP(c_Set_Oinsert(_u16282), _u16284), _u16283)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16282, _u16282, c_Orderings_Oord__class_Omin(_u16282)), _u16284), _u16283)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16285), _u16286)) | hBOOL(hAPP(hAPP(c_member(_u16285), _u16287), _u16286)) | ( c_Big__Operators_Olinorder__class_OMax(_u16285, hAPP(hAPP(c_Set_Oinsert(_u16285), _u16287), _u16286)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16285, _u16285, c_Orderings_Oord__class_Omax(_u16285)), _u16287), _u16286)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16288), _u16289)) | hBOOL(hAPP(hAPP(c_member(_u16288), _u16290), _u16289)) | ( c_Big__Operators_Olattice_OInf__fin(_u16288, c_Orderings_Oord__class_Omin(_u16288), hAPP(hAPP(c_Set_Oinsert(_u16288), _u16290), _u16289)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16288, _u16288, c_Orderings_Oord__class_Omin(_u16288)), _u16290), _u16289)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16291, _u16292, _u16293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16291), _u16294)) | ~hBOOL(hAPP(hAPP(c_member(_u16291), _u16295), _u16294)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16291, _u16292, _u16293), _u16296), _u16294) = hAPP(hAPP(_u16293, _u16295), hAPP(hAPP(c_Finite__Set_Ofold(_u16291, _u16292, _u16293), _u16296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16291, tc_HOL_Obool)), _u16294), hAPP(hAPP(c_Set_Oinsert(_u16291), _u16295), c_Orderings_Obot__class_Obot(tc_fun(_u16291, tc_HOL_Obool))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16297, _u16298, _u16299) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16297), _u16300)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16298, _u16299), _u16301), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16302), _u16300)) = hAPP(hAPP(_u16299, _u16302), hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16298, _u16299), _u16301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16297, tc_HOL_Obool)), _u16300), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16302), c_Orderings_Obot__class_Obot(tc_fun(_u16297, tc_HOL_Obool))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u16303) | c_Finite__Set_Ofun__left__comm(_u16303, _u16303, c_Groups_Otimes__class_Otimes(_u16303)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u16306, _u16307), hAPP(hAPP(_u16306, _u16308), _u16309)) = hAPP(hAPP(_u16306, _u16308), hAPP(hAPP(_u16306, _u16307), _u16309))) | ~c_Finite__Set_Ofun__left__comm(_u16304, _u16305, _u16306) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16310, _u16311, _u16312) | c_Finite__Set_Ofun__left__comm(_u16313, _u16311, hAPP(hAPP(c_COMBB(_u16310, tc_fun(_u16311, _u16311), _u16313), _u16312), _u16314)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16315, _u16316, _u16317) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16315, _u16316, _u16317, _u16318, _u16319), _u16320)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16315, _u16316, _u16317, _u16318, _u16319), _u16321)) | ( _u16321 = _u16320) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u16323, _u16323, _u16323, hAPP(_u16324, _u16325)), hAPP(_u16324, _u16326)) = hAPP(c_Fun_Ocomp(_u16323, _u16323, _u16323, hAPP(_u16324, _u16326)), hAPP(_u16324, _u16325))) | ~c_Finite__Set_Ofun__left__comm(_u16322, _u16323, _u16324) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16327, _u16328, _u16329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16327), _u16330)) | ( hAPP(hAPP(_u16329, _u16331), hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16328, _u16329), _u16332), _u16330)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16328, _u16329), hAPP(hAPP(_u16329, _u16331), _u16332)), _u16330)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16333, _u16334, _u16335) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16333, _u16334, _u16335, _u16336, _u16337), _u16338)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16333, _u16334, _u16335), _u16336), _u16337) = _u16338) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16339, _u16340, _u16341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16339), _u16342)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16339, _u16340, _u16341, _u16343, _u16342), hAPP(hAPP(c_Finite__Set_Ofold(_u16339, _u16340, _u16341), _u16343), _u16342))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16344, _u16345, _u16346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16344), _u16347)) | hBOOL(hAPP(hAPP(c_member(_u16344), _u16348), _u16347)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16344, _u16345, _u16346), _u16349), hAPP(hAPP(c_Set_Oinsert(_u16344), _u16348), _u16347)) = hAPP(hAPP(_u16346, _u16348), hAPP(hAPP(c_Finite__Set_Ofold(_u16344, _u16345, _u16346), _u16349), _u16347))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16350, _u16351, _u16352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16350), _u16353)) | hBOOL(hAPP(hAPP(c_member(_u16350), _u16354), _u16353)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16350, _u16351, _u16352), _u16355), hAPP(hAPP(c_Set_Oinsert(_u16350), _u16354), _u16353)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16350, _u16351, _u16352), hAPP(hAPP(_u16352, _u16354), _u16355)), _u16353)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16357, _u16358, _u16359) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, _u16361), _u16362)) | ~hBOOL(hAPP(hAPP(c_member(_u16357), _u16363), _u16361)) | ( _u16362 = hAPP(hAPP(_u16359, _u16363), skolem402(_u16363, _u16362, _u16361, _u16360, _u16359, _u16358, _u16357))) )).
% 12.32/12.52 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16357, _u16358, _u16359) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, _u16361), _u16362)) | ~hBOOL(hAPP(hAPP(c_member(_u16357), _u16363), _u16361)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16357, tc_HOL_Obool)), _u16361), hAPP(hAPP(c_Set_Oinsert(_u16357), _u16363), c_Orderings_Obot__class_Obot(tc_fun(_u16357, tc_HOL_Obool))))), skolem402(_u16363, _u16362, _u16361, _u16360, _u16359, _u16358, _u16357))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16365), _u16366)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16365, _u16364), _u16366), _u16367) = hAPP(hAPP(c_Finite__Set_Ofold(_u16365, _u16364, hAPP(hAPP(c_COMBB(_u16364, tc_fun(_u16364, _u16364), _u16365), c_Lattices_Osemilattice__inf__class_Oinf(_u16364)), _u16367)), c_Orderings_Otop__class_Otop(_u16364)), _u16366)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16368, tc_fun(_u16369, tc_fun(_u16370, tc_HOL_Obool))), _u16371), _u16372), _u16373), _u16374)) | hBOOL(hAPP(hAPP(hAPP(_u16372, _u16375), _u16373), _u16374)) | ~hBOOL(hAPP(hAPP(c_member(_u16368), _u16375), _u16371)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16376, tc_fun(_u16377, tc_fun(_u16378, tc_HOL_Obool))), _u16379), _u16380), _u16381), _u16382)) | ~hBOOL(hAPP(hAPP(c_member(_u16376), _u16383), _u16379)) | hBOOL(hAPP(hAPP(hAPP(_u16380, _u16383), _u16381), _u16382)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16384, tc_fun(_u16385, tc_HOL_Obool)), _u16386), _u16387), _u16388)) | ~hBOOL(hAPP(hAPP(c_member(_u16384), _u16389), _u16386)) | hBOOL(hAPP(hAPP(_u16387, _u16389), _u16388)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16390, tc_fun(_u16391, tc_HOL_Obool)), _u16392), _u16393), _u16394)) | hBOOL(hAPP(hAPP(_u16393, _u16395), _u16394)) | ~hBOOL(hAPP(hAPP(c_member(_u16390), _u16395), _u16392)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16396), _u16397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16398, tc_fun(_u16396, tc_HOL_Obool)), _u16399), _u16400))) | ~hBOOL(hAPP(hAPP(c_member(_u16398), _u16401), _u16399)) | hBOOL(hAPP(hAPP(c_member(_u16396), _u16397), hAPP(_u16400, _u16401))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16402), _u16403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16404, tc_fun(_u16402, tc_HOL_Obool)), _u16405), _u16406))) | hBOOL(hAPP(hAPP(c_member(_u16402), _u16403), hAPP(_u16406, _u16407))) | ~hBOOL(hAPP(hAPP(c_member(_u16404), _u16407), _u16405)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16409), _u16408), _u16410)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16411), hAPP(_u16412, _u16408))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16411), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16409, tc_fun(_u16411, tc_HOL_Obool)), _u16410), _u16412))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16413, tc_HOL_Obool)), _u16414), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16415, tc_fun(_u16413, tc_HOL_Obool)), _u16416), _u16417)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16415, tc_fun(_u16413, tc_HOL_Obool)), _u16416), hAPP(hAPP(c_COMBB(tc_fun(_u16413, tc_HOL_Obool), tc_fun(_u16413, tc_HOL_Obool), _u16415), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16413, tc_HOL_Obool)), _u16414)), _u16417))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16418, tc_fun(_u16419, tc_HOL_Obool)), _u16420), hAPP(hAPP(c_COMBB(tc_fun(_u16419, tc_HOL_Obool), tc_fun(_u16419, tc_HOL_Obool), _u16418), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16419, tc_HOL_Obool)), _u16421)), _u16422)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16419, tc_HOL_Obool)), _u16421), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16418, tc_fun(_u16419, tc_HOL_Obool)), _u16420), _u16422))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16423, tc_fun(_u16424, tc_HOL_Obool)), _u16425), hAPP(hAPP(c_COMBC(_u16423, tc_fun(_u16426, tc_fun(_u16424, tc_HOL_Obool)), tc_fun(_u16424, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16426, tc_HOL_Obool), tc_fun(tc_fun(_u16426, tc_fun(_u16424, tc_HOL_Obool)), tc_fun(_u16424, tc_HOL_Obool)), _u16423), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16426, tc_fun(_u16424, tc_HOL_Obool))), _u16427)), _u16428)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16426, tc_fun(_u16424, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16423, tc_fun(_u16426, tc_HOL_Obool)), _u16425), _u16427)), _u16428)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16429, tc_fun(_u16430, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16431, tc_fun(_u16429, tc_HOL_Obool)), _u16432), _u16433)), _u16434) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16431, tc_fun(_u16430, tc_HOL_Obool)), _u16432), hAPP(hAPP(c_COMBC(_u16431, tc_fun(_u16429, tc_fun(_u16430, tc_HOL_Obool)), tc_fun(_u16430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16429, tc_HOL_Obool), tc_fun(tc_fun(_u16429, tc_fun(_u16430, tc_HOL_Obool)), tc_fun(_u16430, tc_HOL_Obool)), _u16431), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16429, tc_fun(_u16430, tc_HOL_Obool))), _u16433)), _u16434))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16435, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16436, tc_fun(_u16435, tc_HOL_Obool)), _u16437), _u16438)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16436, tc_fun(_u16435, tc_HOL_Obool)), _u16437), hAPP(hAPP(c_COMBB(tc_fun(_u16435, tc_HOL_Obool), tc_fun(_u16435, tc_HOL_Obool), _u16436), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16435, tc_HOL_Obool))), _u16438))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16439, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16440, tc_fun(_u16439, tc_HOL_Obool)), _u16441), _u16442)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16440, tc_fun(_u16439, tc_HOL_Obool)), _u16441), hAPP(hAPP(c_COMBB(tc_fun(_u16439, tc_HOL_Obool), tc_fun(_u16439, tc_HOL_Obool), _u16440), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16439, tc_HOL_Obool))), _u16442))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u16443), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_HOL_Obool, _u16443), c_HOL_OAll(_u16444)), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_fun(_u16444, tc_HOL_Obool), _u16443), hAPP(c_COMBS(_u16444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16444), c_fimplies), hAPP(hAPP(c_COMBC(_u16444, tc_fun(_u16444, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16444)), _u16445)))), _u16446))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16444, tc_fun(_u16443, tc_HOL_Obool)), _u16445), hAPP(hAPP(c_COMBB(tc_fun(_u16443, tc_HOL_Obool), tc_fun(_u16443, tc_HOL_Obool), _u16444), c_Set_OCollect(_u16443)), hAPP(c_COMBC(_u16443, _u16444, tc_HOL_Obool), _u16446)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) | hBOOL(hAPP(hAPP(c_member(_u16450), skolem403(_u16453, _u16452, _u16451, _u16450, _u16449)), _u16451)) )).
% 12.32/12.52 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(_u16452, skolem403(_u16453, _u16452, _u16451, _u16450, _u16449))), _u16453)) )).
% 12.32/12.52 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_member(_u16450), _u16448), _u16451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(_u16452, _u16448)), _u16453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16460, tc_fun(_u16462, tc_fun(_u16464, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16460, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16462, tc_fun(_u16464, tc_HOL_Obool)), _u16460), hAPP(c_COMBC(_u16462, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16464, tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16464, tc_HOL_Obool)), _u16462), c_COMBC(_u16464, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16464, tc_prod(_u16462, _u16464)), tc_fun(_u16464, tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), _u16462), hAPP(c_COMBB(tc_prod(_u16462, _u16464), tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool), _u16464), c_member(tc_prod(_u16462, _u16464)))), c_Product__Type_OPair(_u16462, _u16464))))), _u16466)), _u16468), _u16470)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16462, _u16464)), hAPP(hAPP(c_Product__Type_OPair(_u16462, _u16464), _u16468), _u16470)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16460, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16460, tc_HOL_Obool))), _u16466))) )).
% 12.32/12.52 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16463, _u16465)), hAPP(hAPP(c_Product__Type_OPair(_u16463, _u16465), _u16469), _u16471)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16461, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16461, tc_HOL_Obool))), _u16467))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16461, tc_fun(_u16463, tc_fun(_u16465, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16461, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16463, tc_fun(_u16465, tc_HOL_Obool)), _u16461), hAPP(c_COMBC(_u16463, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16465, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16465, tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16465, tc_HOL_Obool)), _u16463), c_COMBC(_u16465, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16465, tc_prod(_u16463, _u16465)), tc_fun(_u16465, tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), _u16463), hAPP(c_COMBB(tc_prod(_u16463, _u16465), tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool), _u16465), c_member(tc_prod(_u16463, _u16465)))), c_Product__Type_OPair(_u16463, _u16465))))), _u16467)), _u16469), _u16471)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16479), _u16481), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16483, tc_fun(_u16479, tc_HOL_Obool)), _u16485), _u16487))) | ~hBOOL(hAPP(hAPP(c_member(_u16483), _u16472), _u16485)) | hBOOL(hAPP(hAPP(c_member(_u16479), _u16481), hAPP(_u16487, _u16472))) )).
% 12.32/12.52 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16484, tc_fun(_u16480, tc_HOL_Obool)), _u16486), _u16488))) | hBOOL(hAPP(hAPP(c_member(_u16484), skolem404(_u16488, _u16486, _u16484, _u16482, _u16480)), _u16486)) )).
% 12.32/12.52 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16484, tc_fun(_u16480, tc_HOL_Obool)), _u16486), _u16488))) | ~hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(_u16488, skolem404(_u16488, _u16486, _u16484, _u16482, _u16480)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16489, tc_HOL_Obool) = c_Set_OBall(_u16489)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16490) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), _u16492), hAPP(hAPP(c_COMBB(tc_fun(_u16493, _u16490), _u16490, _u16491), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16493, _u16490), _u16494)), _u16495)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16493, _u16490), _u16494), hAPP(hAPP(c_COMBB(tc_fun(_u16491, _u16490), _u16490, _u16493), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), _u16492)), hAPP(c_COMBC(_u16491, _u16493, _u16490), _u16495)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16496) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16497, tc_fun(_u16498, _u16496)), _u16499), _u16500), _u16501) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16497, _u16496), _u16499), hAPP(hAPP(c_COMBC(_u16497, _u16498, _u16496), _u16500), _u16501))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u16502), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(_u16502, tc_HOL_Obool)), _u16504), _u16505)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(tc_fun(_u16502, tc_HOL_Obool), tc_HOL_Obool)), _u16504), hAPP(hAPP(c_COMBB(tc_fun(_u16502, tc_HOL_Obool), tc_fun(tc_fun(_u16502, tc_HOL_Obool), tc_HOL_Obool), _u16503), c_Set_OPow(_u16502)), _u16505))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16512, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16514, tc_fun(_u16512, tc_HOL_Obool)), _u16516), _u16518)) | ~hBOOL(hAPP(hAPP(c_member(_u16514), _u16506), _u16516)) | ( hAPP(_u16518, _u16506) = c_Orderings_Otop__class_Otop(tc_fun(_u16512, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16515, tc_fun(_u16513, tc_HOL_Obool)), _u16517), _u16519)) | hBOOL(hAPP(hAPP(c_member(_u16515), skolem405(_u16519, _u16517, _u16515, _u16513)), _u16517)) )).
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16515, tc_fun(_u16513, tc_HOL_Obool)), _u16517), _u16519)) | ( hAPP(_u16519, skolem405(_u16519, _u16517, _u16515, _u16513)) != c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16526, tc_fun(_u16528, tc_HOL_Obool)), _u16530), _u16532) != c_Orderings_Otop__class_Otop(tc_fun(_u16528, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16526), _u16520), _u16530)) | ( hAPP(_u16532, _u16520) = c_Orderings_Otop__class_Otop(tc_fun(_u16528, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16527, tc_fun(_u16529, tc_HOL_Obool)), _u16531), _u16533) = c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16527), skolem406(_u16533, _u16531, _u16529, _u16527)), _u16531)) )).
% 12.32/12.52 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16527, tc_fun(_u16529, tc_HOL_Obool)), _u16531), _u16533) = c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) | ( hAPP(_u16533, skolem406(_u16533, _u16531, _u16529, _u16527)) != c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), hAPP(hAPP(c_COMBS(_u16534, tc_fun(_u16535, tc_HOL_Obool), tc_fun(_u16535, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16535, tc_HOL_Obool), tc_fun(tc_fun(_u16535, tc_HOL_Obool), tc_fun(_u16535, tc_HOL_Obool)), _u16534), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16535, tc_HOL_Obool))), _u16537)), _u16538)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16535, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), _u16537)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), _u16538))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16539), _u16540), _u16541)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16542, tc_HOL_Obool)), hAPP(_u16543, _u16540)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16539, tc_fun(_u16542, tc_HOL_Obool)), _u16541), _u16543)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16539, tc_fun(_u16542, tc_HOL_Obool)), _u16541), _u16543)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16548, tc_fun(_u16550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16548, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16550, tc_HOL_Obool), tc_fun(_u16550, tc_HOL_Obool), _u16548), hAPP(c_COMBC(_u16550, tc_fun(_u16550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16550))), _u16552)), _u16554)) | hBOOL(hAPP(hAPP(c_member(_u16550), _u16554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16548, tc_fun(_u16550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16548, tc_HOL_Obool))), _u16552))) )).
% 12.32/12.52 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16551), _u16555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16549, tc_fun(_u16551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16549, tc_HOL_Obool))), _u16553))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16549, tc_fun(_u16551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16549, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16551, tc_HOL_Obool), tc_fun(_u16551, tc_HOL_Obool), _u16549), hAPP(c_COMBC(_u16551, tc_fun(_u16551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16551))), _u16553)), _u16555)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u16556, _u16557, _u16558), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16557, tc_HOL_Obool)), _u16560), _u16561)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16556, tc_HOL_Obool)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16557, tc_HOL_Obool), tc_fun(_u16556, tc_HOL_Obool), _u16559), c_Set_Ovimage(_u16556, _u16557, _u16558)), _u16561))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16562, tc_fun(_u16563, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16564, _u16562, _u16565), _u16566)), _u16567) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16564, tc_fun(_u16563, tc_HOL_Obool)), _u16566), hAPP(hAPP(c_COMBB(_u16562, tc_fun(_u16563, tc_HOL_Obool), _u16564), _u16567), _u16565))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16568, tc_fun(_u16569, tc_HOL_Obool)), _u16570), hAPP(hAPP(c_COMBB(_u16571, tc_fun(_u16569, tc_HOL_Obool), _u16568), _u16572), _u16573)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16571, tc_fun(_u16569, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16568, _u16571, _u16573), _u16570)), _u16572)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16574, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16575, _u16574, _u16576), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16577, tc_fun(_u16575, tc_HOL_Obool)), _u16578), _u16579))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16577, tc_fun(_u16574, tc_HOL_Obool)), _u16578), hAPP(hAPP(c_COMBB(tc_fun(_u16575, tc_HOL_Obool), tc_fun(_u16574, tc_HOL_Obool), _u16577), c_Relation_OImage(_u16575, _u16574, _u16576)), _u16579)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16580), _u16581), _u16582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16583, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16580, tc_fun(_u16583, tc_HOL_Obool)), _u16582), _u16584)), hAPP(_u16584, _u16581))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | ~hBOOL(hAPP(hAPP(c_member(_u16589), _u16585), _u16590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(_u16591, _u16585))) )).
% 12.32/12.52 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | hBOOL(hAPP(hAPP(c_member(_u16589), skolem407(_u16591, _u16590, _u16589, _u16588, _u16587)), _u16590)) )).
% 12.32/12.52 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(_u16591, skolem407(_u16591, _u16590, _u16589, _u16588, _u16587)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16599, tc_HOL_Obool)), _u16601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16599, tc_HOL_Obool)), _u16605), _u16607))) | ~hBOOL(hAPP(hAPP(c_member(_u16603), _u16592), _u16605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16599, tc_HOL_Obool)), _u16601), hAPP(_u16607, _u16592))) )).
% 12.32/12.52 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16604, tc_fun(_u16600, tc_HOL_Obool)), _u16606), _u16608))) | hBOOL(hAPP(hAPP(c_member(_u16604), skolem408(_u16608, _u16606, _u16604, _u16602, _u16600)), _u16606)) )).
% 12.32/12.52 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16604, tc_fun(_u16600, tc_HOL_Obool)), _u16606), _u16608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(_u16608, skolem408(_u16608, _u16606, _u16604, _u16602, _u16600)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u16609), _u16610), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16611, tc_fun(_u16609, tc_HOL_Obool)), _u16612), _u16613)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16611, tc_fun(_u16609, tc_HOL_Obool)), _u16612), hAPP(hAPP(c_COMBB(tc_fun(_u16609, tc_HOL_Obool), tc_fun(_u16609, tc_HOL_Obool), _u16611), hAPP(c_Set_Oinsert(_u16609), _u16610)), _u16613))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16614, tc_fun(_u16615, tc_HOL_Obool)), _u16616), hAPP(hAPP(c_COMBB(tc_fun(_u16615, tc_HOL_Obool), tc_fun(_u16615, tc_HOL_Obool), _u16614), hAPP(c_Set_Oinsert(_u16615), _u16617)), _u16618)) = hAPP(hAPP(c_Set_Oinsert(_u16615), _u16617), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16614, tc_fun(_u16615, tc_HOL_Obool)), _u16616), _u16618))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16619), _u16620), _u16621)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16619, tc_fun(_u16622, tc_HOL_Obool)), _u16621), hAPP(hAPP(c_COMBB(tc_fun(_u16622, tc_HOL_Obool), tc_fun(_u16622, tc_HOL_Obool), _u16619), hAPP(c_Set_Oinsert(_u16622), _u16623)), _u16624)) = hAPP(hAPP(c_Set_Oinsert(_u16622), _u16623), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16619, tc_fun(_u16622, tc_HOL_Obool)), _u16621), _u16624))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16625, tc_fun(_u16626, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u16625), _u16627), _u16628)), _u16629) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16626, tc_HOL_Obool)), hAPP(_u16629, _u16627)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16625, tc_fun(_u16626, tc_HOL_Obool)), _u16628), _u16629))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16630) | ( _u16631 = c_Orderings_Obot__class_Obot(tc_fun(_u16632, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16632, _u16630), _u16631), hAPP(c_COMBK(_u16630, _u16632), _u16633)) = _u16633) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u16639 != c_Orderings_Obot__class_Obot(tc_fun(_u16641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16643, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16641, tc_fun(_u16643, tc_HOL_Obool)), _u16639), _u16645)), _u16647) = _u16647) )).
% 12.32/12.52 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u16640 = c_Orderings_Obot__class_Obot(tc_fun(_u16642, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16644, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16644, tc_HOL_Obool)), _u16640), _u16646)), _u16648) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16644, tc_HOL_Obool)), _u16640), hAPP(hAPP(c_COMBC(_u16642, tc_fun(_u16644, tc_HOL_Obool), tc_fun(_u16644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16644, tc_HOL_Obool), tc_fun(tc_fun(_u16644, tc_HOL_Obool), tc_fun(_u16644, tc_HOL_Obool)), _u16642), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16644, tc_HOL_Obool))), _u16646)), _u16648))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u16654 != c_Orderings_Obot__class_Obot(tc_fun(_u16656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16658, tc_HOL_Obool)), _u16660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16656, tc_fun(_u16658, tc_HOL_Obool)), _u16654), _u16662)) = _u16660) )).
% 12.32/12.52 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u16655 = c_Orderings_Obot__class_Obot(tc_fun(_u16657, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16659, tc_HOL_Obool)), _u16661), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16657, tc_fun(_u16659, tc_HOL_Obool)), _u16655), _u16663)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16657, tc_fun(_u16659, tc_HOL_Obool)), _u16655), hAPP(hAPP(c_COMBB(tc_fun(_u16659, tc_HOL_Obool), tc_fun(_u16659, tc_HOL_Obool), _u16657), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16659, tc_HOL_Obool)), _u16661)), _u16663))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16664, tc_fun(_u16665, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u16664, tc_HOL_Obool))), _u16666) = c_Orderings_Otop__class_Otop(tc_fun(_u16665, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__constant-1, axiom, ( ( _u16671 != c_Orderings_Obot__class_Obot(tc_fun(_u16673, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16673, tc_fun(_u16675, tc_HOL_Obool)), _u16671), hAPP(c_COMBK(tc_fun(_u16675, tc_HOL_Obool), _u16673), _u16677)) = c_Orderings_Otop__class_Otop(tc_fun(_u16675, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INT__constant-2, axiom, ( ( _u16672 = c_Orderings_Obot__class_Obot(tc_fun(_u16674, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(_u16676, tc_HOL_Obool)), _u16672), hAPP(c_COMBK(tc_fun(_u16676, tc_HOL_Obool), _u16674), _u16678)) = _u16678) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16679, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, tc_fun(_u16679, tc_HOL_Obool)), _u16681), _u16682)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16683, tc_fun(_u16679, tc_HOL_Obool)), _u16684), _u16685)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, tc_fun(_u16679, tc_HOL_Obool)), _u16681), hAPP(hAPP(c_COMBB(tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16679, tc_HOL_Obool), _u16680), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16683, tc_fun(_u16679, tc_HOL_Obool)), _u16684)), hAPP(hAPP(c_COMBC(_u16680, tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool)), tc_fun(tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool))), _u16680), c_COMBB(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool), _u16683)), hAPP(hAPP(c_COMBB(tc_fun(_u16679, tc_HOL_Obool), tc_fun(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool)), _u16680), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16679, tc_HOL_Obool))), _u16682))), _u16685)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16687, tc_fun(_u16686, tc_HOL_Obool)), _u16688), _u16689)), _u16690) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16687, tc_fun(_u16686, tc_HOL_Obool)), _u16688), hAPP(hAPP(c_COMBC(_u16687, tc_fun(_u16686, tc_HOL_Obool), tc_fun(_u16686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16686, tc_HOL_Obool), tc_fun(tc_fun(_u16686, tc_HOL_Obool), tc_fun(_u16686, tc_HOL_Obool)), _u16687), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16686, tc_HOL_Obool))), _u16689)), _u16690))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16691, tc_HOL_Obool)), _u16692), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16691, tc_HOL_Obool)), _u16694), _u16695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16691, tc_HOL_Obool)), _u16694), hAPP(hAPP(c_COMBB(tc_fun(_u16691, tc_HOL_Obool), tc_fun(_u16691, tc_HOL_Obool), _u16693), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16691, tc_HOL_Obool)), _u16692)), _u16695))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16696, tc_HOL_Obool)), _u16697), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16698, tc_fun(_u16696, tc_HOL_Obool)), _u16699), _u16700)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16698, tc_fun(_u16696, tc_HOL_Obool)), _u16699), hAPP(hAPP(c_COMBB(tc_fun(_u16696, tc_HOL_Obool), tc_fun(_u16696, tc_HOL_Obool), _u16698), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16696, tc_HOL_Obool)), _u16697)), _u16700))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16702, tc_HOL_Obool)), _u16703), hAPP(hAPP(c_COMBC(_u16701, tc_fun(_u16702, tc_HOL_Obool), tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16702, tc_HOL_Obool), tc_fun(tc_fun(_u16702, tc_HOL_Obool), tc_fun(_u16702, tc_HOL_Obool)), _u16701), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16702, tc_HOL_Obool))), _u16704)), _u16705)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16702, tc_HOL_Obool)), _u16703), _u16704)), _u16705)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16706, tc_fun(_u16707, tc_HOL_Obool)), _u16708), hAPP(hAPP(c_COMBB(tc_fun(_u16707, tc_HOL_Obool), tc_fun(_u16707, tc_HOL_Obool), _u16706), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16707, tc_HOL_Obool)), _u16709)), _u16710)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16707, tc_HOL_Obool)), _u16709), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16706, tc_fun(_u16707, tc_HOL_Obool)), _u16708), _u16710))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16711, tc_HOL_Obool)), _u16713), _u16714)), _u16715) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), _u16713), _u16715)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), _u16714), _u16715))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16716, _u16717), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16718, tc_fun(tc_prod(_u16716, _u16717), tc_HOL_Obool)), _u16719), _u16720)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16718, tc_fun(tc_prod(_u16717, _u16716), tc_HOL_Obool)), _u16719), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16716, _u16717), tc_HOL_Obool), tc_fun(tc_prod(_u16717, _u16716), tc_HOL_Obool), _u16718), c_Relation_Oconverse(_u16716, _u16717)), _u16720))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16722, tc_HOL_Obool)), _u16723), _u16724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16721), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, _u16721), _u16724), _u16725)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, _u16721), _u16723), _u16725))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16726, tc_fun(_u16727, tc_HOL_Obool)), _u16728), _u16729) = hAPP(c_Set_OCollect(_u16727), hAPP(hAPP(c_COMBB(tc_fun(_u16726, tc_HOL_Obool), tc_HOL_Obool, _u16727), c_HOL_OAll(_u16726)), hAPP(hAPP(c_COMBB(tc_fun(_u16726, tc_HOL_Obool), tc_fun(_u16726, tc_HOL_Obool), _u16727), hAPP(c_COMBS(_u16726, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16726), c_fimplies), hAPP(hAPP(c_COMBC(_u16726, tc_fun(_u16726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16726)), _u16728)))), hAPP(hAPP(c_COMBC(_u16727, tc_fun(_u16726, tc_fun(_u16727, tc_HOL_Obool)), tc_fun(_u16726, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16727, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16726, tc_fun(_u16727, tc_HOL_Obool)), tc_fun(_u16726, tc_HOL_Obool)), _u16727), c_COMBB(tc_fun(_u16727, tc_HOL_Obool), tc_HOL_Obool, _u16726)), c_member(_u16727))), _u16729))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u16735 != c_Orderings_Obot__class_Obot(tc_fun(_u16737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(_u16739, tc_HOL_Obool)), _u16735), hAPP(hAPP(c_COMBB(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16739, tc_HOL_Obool), _u16737), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16739, tc_HOL_Obool)), _u16741)), _u16743)) = c_Orderings_Otop__class_Otop(tc_fun(_u16739, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u16736 = c_Orderings_Obot__class_Obot(tc_fun(_u16738, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool), _u16738), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16740, tc_HOL_Obool)), _u16742)), _u16744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16740, tc_HOL_Obool)), _u16742), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), _u16744))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u16750 != c_Orderings_Obot__class_Obot(tc_fun(_u16752, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16752, tc_fun(_u16754, tc_HOL_Obool)), _u16750), hAPP(hAPP(c_COMBC(_u16752, tc_fun(_u16754, tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16754, tc_HOL_Obool), tc_fun(tc_fun(_u16754, tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), _u16752), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16754, tc_HOL_Obool))), _u16756)), _u16758)) = c_Orderings_Otop__class_Otop(tc_fun(_u16754, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u16751 = c_Orderings_Obot__class_Obot(tc_fun(_u16753, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16753, tc_fun(_u16755, tc_HOL_Obool)), _u16751), hAPP(hAPP(c_COMBC(_u16753, tc_fun(_u16755, tc_HOL_Obool), tc_fun(_u16755, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16755, tc_HOL_Obool), tc_fun(tc_fun(_u16755, tc_HOL_Obool), tc_fun(_u16755, tc_HOL_Obool)), _u16753), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16755, tc_HOL_Obool))), _u16757)), _u16759)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16755, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16753, tc_fun(_u16755, tc_HOL_Obool)), _u16751), _u16757)), _u16759)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u16765 != c_Orderings_Obot__class_Obot(tc_fun(_u16767, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16767, tc_fun(_u16769, tc_HOL_Obool)), _u16765), hAPP(hAPP(c_COMBC(_u16767, tc_fun(_u16769, tc_HOL_Obool), tc_fun(_u16769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16769, tc_HOL_Obool), tc_fun(tc_fun(_u16769, tc_HOL_Obool), tc_fun(_u16769, tc_HOL_Obool)), _u16767), c_Groups_Ominus__class_Ominus(tc_fun(_u16769, tc_HOL_Obool))), _u16771)), _u16773)) = c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u16766 = c_Orderings_Obot__class_Obot(tc_fun(_u16768, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16768, tc_fun(_u16770, tc_HOL_Obool)), _u16766), hAPP(hAPP(c_COMBC(_u16768, tc_fun(_u16770, tc_HOL_Obool), tc_fun(_u16770, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16770, tc_HOL_Obool), tc_fun(tc_fun(_u16770, tc_HOL_Obool), tc_fun(_u16770, tc_HOL_Obool)), _u16768), c_Groups_Ominus__class_Ominus(tc_fun(_u16770, tc_HOL_Obool))), _u16772)), _u16774)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16770, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16768, tc_fun(_u16770, tc_HOL_Obool)), _u16766), _u16772)), _u16774)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u16780 != c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16784, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16782, tc_fun(_u16784, tc_HOL_Obool)), _u16780), _u16786)), _u16788) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16784, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16784, tc_HOL_Obool))), _u16788)) )).
% 12.32/12.52 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u16781 = c_Orderings_Obot__class_Obot(tc_fun(_u16783, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16785, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16783, tc_fun(_u16785, tc_HOL_Obool)), _u16781), _u16787)), _u16789) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16783, tc_fun(_u16785, tc_HOL_Obool)), _u16781), hAPP(hAPP(c_COMBC(_u16783, tc_fun(_u16785, tc_HOL_Obool), tc_fun(_u16785, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16785, tc_HOL_Obool), tc_fun(tc_fun(_u16785, tc_HOL_Obool), tc_fun(_u16785, tc_HOL_Obool)), _u16783), c_Groups_Ominus__class_Ominus(tc_fun(_u16785, tc_HOL_Obool))), _u16787)), _u16789))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u16795 != c_Orderings_Obot__class_Obot(tc_fun(_u16797, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16799, tc_HOL_Obool)), _u16801), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16797, tc_fun(_u16799, tc_HOL_Obool)), _u16795), _u16803)) = _u16801) )).
% 12.32/12.52 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u16796 = c_Orderings_Obot__class_Obot(tc_fun(_u16798, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16800, tc_HOL_Obool)), _u16802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16798, tc_fun(_u16800, tc_HOL_Obool)), _u16796), _u16804)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16798, tc_fun(_u16800, tc_HOL_Obool)), _u16796), hAPP(hAPP(c_COMBB(tc_fun(_u16800, tc_HOL_Obool), tc_fun(_u16800, tc_HOL_Obool), _u16798), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16800, tc_HOL_Obool)), _u16802)), _u16804))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16805) | ~hBOOL(hAPP(hAPP(c_member(_u16806), _u16807), _u16808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, _u16805), _u16808), _u16809)), hAPP(_u16809, _u16807))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__greaterThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u16815 != c_Orderings_Obot__class_Obot(tc_fun(_u16817, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16817, tc_fun(_u16819, tc_HOL_Obool)), _u16815), hAPP(hAPP(c_COMBB(tc_fun(_u16819, tc_HOL_Obool), tc_fun(_u16819, tc_HOL_Obool), _u16817), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16819, tc_HOL_Obool)), _u16821)), _u16823)) = c_Orderings_Otop__class_Otop(tc_fun(_u16819, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u16816 = c_Orderings_Obot__class_Obot(tc_fun(_u16818, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16818, tc_fun(_u16820, tc_HOL_Obool)), _u16816), hAPP(hAPP(c_COMBB(tc_fun(_u16820, tc_HOL_Obool), tc_fun(_u16820, tc_HOL_Obool), _u16818), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16820, tc_HOL_Obool)), _u16822)), _u16824)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16820, tc_HOL_Obool)), _u16822), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16818, tc_fun(_u16820, tc_HOL_Obool)), _u16816), _u16824))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16825, _u16826, hAPP(c_Relation_Oconverse(_u16826, _u16825), _u16827)) | ( _u16828 = c_Orderings_Obot__class_Obot(tc_fun(_u16829, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16826, _u16825, _u16827), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16826, tc_HOL_Obool)), _u16828), _u16830)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16825, tc_HOL_Obool)), _u16828), hAPP(hAPP(c_COMBB(tc_fun(_u16826, tc_HOL_Obool), tc_fun(_u16825, tc_HOL_Obool), _u16829), c_Relation_OImage(_u16826, _u16825, _u16827)), _u16830))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16831) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16832), _u16833)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16831), _u16834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16832, _u16831), _u16833), _u16835)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16832, _u16831, hAPP(hAPP(c_COMBB(_u16831, tc_fun(_u16831, _u16831), _u16832), c_Lattices_Osemilattice__inf__class_Oinf(_u16831)), _u16835)), _u16834), _u16833)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16836), _u16837)) | ( c_Complete__Lattice_OInf__class_OInf(_u16836, _u16837) = hAPP(hAPP(c_Finite__Set_Ofold(_u16836, _u16836, c_Lattices_Osemilattice__inf__class_Oinf(_u16836)), c_Orderings_Otop__class_Otop(_u16836)), _u16837)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16838), _u16839)) | ( c_Complete__Lattice_OSup__class_OSup(_u16838, _u16839) = hAPP(hAPP(c_Finite__Set_Ofold(_u16838, _u16838, c_Lattices_Osemilattice__sup__class_Osup(_u16838)), c_Orderings_Obot__class_Obot(_u16838)), _u16839)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16841, tc_HOL_Obool)), _u16840), _u16842)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16841), _u16840)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16841), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16841, tc_HOL_Obool), _u16842))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16843, tc_HOL_Obool)), _u16844), _u16845)) | ~hBOOL(hAPP(hAPP(c_member(_u16843), _u16846), _u16844)) | hBOOL(hAPP(hAPP(c_member(_u16843), _u16846), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16843, tc_HOL_Obool), _u16845))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_InterD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16847), _u16848), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16847, tc_HOL_Obool), _u16849))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16847, tc_HOL_Obool)), _u16850), _u16849)) | hBOOL(hAPP(hAPP(c_member(_u16847), _u16848), _u16850)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_InterE ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16851), _u16852), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16851, tc_HOL_Obool), _u16853))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16851, tc_HOL_Obool)), _u16854), _u16853)) | hBOOL(hAPP(hAPP(c_member(_u16851), _u16852), _u16854)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16862, tc_fun(_u16864, tc_HOL_Obool)), _u16866), _u16868), _u16870)) | ~hBOOL(hAPP(hAPP(c_member(_u16862), _u16855), _u16866)) | hBOOL(hAPP(hAPP(_u16868, _u16855), _u16870)) )).
% 12.32/12.52 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16863, tc_fun(_u16865, tc_HOL_Obool)), _u16867), _u16869), _u16871)) | hBOOL(hAPP(hAPP(c_member(_u16863), skolem409(_u16871, _u16869, _u16867, _u16865, _u16863)), _u16867)) )).
% 12.32/12.52 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16863, tc_fun(_u16865, tc_HOL_Obool)), _u16867), _u16869), _u16871)) | ~hBOOL(hAPP(hAPP(_u16869, skolem409(_u16871, _u16869, _u16867, _u16865, _u16863)), _u16871)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16883, tc_fun(_u16885, tc_HOL_Obool))), _u16887), _u16889), _u16891), _u16893)) | ~hBOOL(hAPP(hAPP(c_member(_u16881), _u16872), _u16887)) | hBOOL(hAPP(hAPP(hAPP(_u16889, _u16872), _u16891), _u16893)) )).
% 12.32/12.52 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16882, tc_fun(_u16884, tc_fun(_u16886, tc_HOL_Obool))), _u16888), _u16890), _u16892), _u16894)) | hBOOL(hAPP(hAPP(c_member(_u16882), skolem410(_u16894, _u16892, _u16890, _u16888, _u16886, _u16884, _u16882)), _u16888)) )).
% 12.32/12.52 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16882, tc_fun(_u16884, tc_fun(_u16886, tc_HOL_Obool))), _u16888), _u16890), _u16892), _u16894)) | ~hBOOL(hAPP(hAPP(hAPP(_u16890, skolem410(_u16894, _u16892, _u16890, _u16888, _u16886, _u16884, _u16882)), _u16892), _u16894)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16895, tc_HOL_Obool), tc_fun(_u16896, tc_HOL_Obool)), _u16897), hAPP(hAPP(c_COMBC(tc_fun(_u16895, tc_HOL_Obool), tc_fun(_u16895, tc_fun(_u16896, tc_HOL_Obool)), tc_fun(_u16896, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16895, tc_fun(_u16896, tc_HOL_Obool))), _u16898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16895, tc_fun(_u16896, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16895, tc_HOL_Obool), _u16897)), _u16898)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16899, tc_fun(_u16900, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16899, tc_HOL_Obool), _u16901)), _u16902) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16899, tc_HOL_Obool), tc_fun(_u16900, tc_HOL_Obool)), _u16901), hAPP(hAPP(c_COMBC(tc_fun(_u16899, tc_HOL_Obool), tc_fun(_u16899, tc_fun(_u16900, tc_HOL_Obool)), tc_fun(_u16900, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16899, tc_fun(_u16900, tc_HOL_Obool))), _u16902))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16903, tc_fun(_u16904, tc_HOL_Obool)), _u16905), _u16906) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16904, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16903, tc_fun(_u16904, tc_HOL_Obool), _u16906), _u16905))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16907, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16908, tc_fun(_u16907, tc_HOL_Obool), _u16909), _u16910)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16908, tc_fun(_u16907, tc_HOL_Obool)), _u16910), _u16909)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16911, tc_HOL_Obool)), _u16912), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16911, tc_HOL_Obool), _u16913)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16911, tc_HOL_Obool), tc_fun(_u16911, tc_HOL_Obool)), _u16913), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16911, tc_HOL_Obool)), _u16912))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16914, tc_HOL_Obool), _u16915) = hAPP(c_Set_OCollect(_u16914), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u16914), c_HOL_OAll(tc_fun(_u16914, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), _u16914), hAPP(c_COMBS(tc_fun(_u16914, 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(_u16914, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u16914, tc_HOL_Obool), tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u16914, tc_HOL_Obool))), _u16915)))), c_member(_u16914))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16916, tc_HOL_Obool), tc_HOL_Obool)), _u16917), _u16918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16916, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16916, tc_HOL_Obool), _u16918)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16916, tc_HOL_Obool), _u16917))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16919, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16919, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16919, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16920, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16920, tc_HOL_Obool)), _u16921), _u16922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16920, tc_HOL_Obool)), _u16921), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16920, tc_HOL_Obool), _u16922))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16923, tc_HOL_Obool), tc_HOL_Obool)), _u16924), hAPP(c_Set_OPow(_u16923), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16923, tc_HOL_Obool), _u16924)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16925, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16925, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16925, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16931, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16931, tc_HOL_Obool), _u16933)), _u16935) != c_Orderings_Obot__class_Obot(tc_fun(_u16931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16931, tc_HOL_Obool)), _u16926), _u16933)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16931, tc_HOL_Obool)), _u16926), _u16935) = c_Orderings_Obot__class_Obot(tc_fun(_u16931, tc_HOL_Obool))) )).
% 12.32/12.52 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16932, tc_HOL_Obool), _u16934)), _u16936) = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16932, tc_HOL_Obool)), skolem411(_u16936, _u16934, _u16932)), _u16934)) )).
% 12.32/12.52 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16932, tc_HOL_Obool), _u16934)), _u16936) = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), skolem411(_u16936, _u16934, _u16932)), _u16936) != c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16937, tc_HOL_Obool)), _u16938), _u16939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16937, tc_HOL_Obool)), _u16938), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16937, tc_HOL_Obool), _u16939))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | ~hBOOL(hAPP(hAPP(c_member(_u16942), _u16940), _u16944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), _u16940)) )).
% 12.32/12.52 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | hBOOL(hAPP(hAPP(c_member(_u16942), skolem412(_u16944, _u16943, _u16942)), _u16944)) )).
% 12.32/12.52 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), skolem412(_u16944, _u16943, _u16942))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | ~hBOOL(hAPP(hAPP(c_member(_u16947), _u16945), _u16948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), _u16945), _u16949)) )).
% 12.32/12.52 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | hBOOL(hAPP(hAPP(c_member(_u16947), skolem413(_u16949, _u16948, _u16947)), _u16948)) )).
% 12.32/12.52 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), skolem413(_u16949, _u16948, _u16947)), _u16949)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), _u16951), _u16952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16950, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16952)), _u16951)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16953, tc_HOL_Obool), tc_HOL_Obool)), _u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16953, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16953, tc_HOL_Obool), _u16954)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16953, tc_HOL_Obool), _u16955))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u16956), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16956, _u16956), tc_HOL_Obool), _u16957)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16956, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16956, _u16956), tc_HOL_Obool), tc_fun(_u16956, tc_HOL_Obool), c_Relation_OField(_u16956)), _u16957))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16958, tc_HOL_Obool), hAPP(c_Set_OPow(_u16958), _u16959)) = _u16959) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) | hBOOL(hAPP(hAPP(c_member(_u16962), skolem414(_u16964, _u16963, _u16962)), _u16964)) )).
% 12.32/12.52 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), skolem414(_u16964, _u16963, _u16962))) )).
% 12.32/12.52 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_member(_u16962), _u16961), _u16964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), _u16961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) | hBOOL(hAPP(hAPP(c_member(_u16967), skolem415(_u16969, _u16968, _u16967)), _u16968)) )).
% 12.32/12.52 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), skolem415(_u16969, _u16968, _u16967)), _u16969)) )).
% 12.32/12.52 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_member(_u16967), _u16966), _u16968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), _u16966), _u16969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u16970, _u16971, _u16972) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16970, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16970), _u16971), _u16972)) = _u16971) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16973) | ( c_Complete__Lattice_OInf__class_OInf(_u16973, _u16974) = c_Complete__Lattice_OSup__class_OSup(_u16973, hAPP(c_Set_OCollect(_u16973), hAPP(hAPP(c_COMBB(tc_fun(_u16973, tc_HOL_Obool), tc_HOL_Obool, _u16973), c_HOL_OAll(_u16973)), hAPP(hAPP(c_COMBB(tc_fun(_u16973, tc_HOL_Obool), tc_fun(_u16973, tc_HOL_Obool), _u16973), hAPP(c_COMBS(_u16973, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16973), c_fimplies), hAPP(hAPP(c_COMBC(_u16973, tc_fun(_u16973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16973)), _u16974)))), c_Orderings_Oord__class_Oless__eq(_u16973)))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16975) | ( c_Complete__Lattice_OSup__class_OSup(_u16975, _u16976) = c_Complete__Lattice_OInf__class_OInf(_u16975, hAPP(c_Set_OCollect(_u16975), hAPP(hAPP(c_COMBB(tc_fun(_u16975, tc_HOL_Obool), tc_HOL_Obool, _u16975), c_HOL_OAll(_u16975)), hAPP(hAPP(c_COMBB(tc_fun(_u16975, tc_HOL_Obool), tc_fun(_u16975, tc_HOL_Obool), _u16975), hAPP(c_COMBS(_u16975, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16975), c_fimplies), hAPP(hAPP(c_COMBC(_u16975, tc_fun(_u16975, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16975)), _u16976)))), hAPP(c_COMBC(_u16975, _u16975, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u16975))))))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16977), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16977, tc_HOL_Obool), _u16978))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16977, tc_HOL_Obool)), _u16978)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u16979, _u16980, _u16981), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16979, tc_HOL_Obool), _u16982)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16979, tc_HOL_Obool), tc_fun(_u16980, tc_HOL_Obool)), _u16982), c_Set_Oimage(_u16979, _u16980, _u16981))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16983, _u16984), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16983, tc_HOL_Obool), _u16985)), _u16986) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16983, tc_HOL_Obool), tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), _u16985), hAPP(hAPP(c_COMBC(tc_fun(_u16983, tc_HOL_Obool), tc_fun(_u16983, tc_fun(_u16984, tc_HOL_Obool)), tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), c_Product__Type_OSigma(_u16983, _u16984)), _u16986))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u16987, _u16988, _u16989), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16988, tc_HOL_Obool), _u16990)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16988, tc_HOL_Obool), tc_fun(_u16987, tc_HOL_Obool)), _u16990), c_Set_Ovimage(_u16987, _u16988, _u16989))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16991, tc_fun(_u16992, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16991, tc_HOL_Obool), _u16993)), _u16994) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16991, tc_HOL_Obool), tc_fun(_u16992, tc_HOL_Obool)), _u16993), hAPP(hAPP(c_COMBC(tc_fun(_u16991, tc_HOL_Obool), tc_fun(_u16991, tc_fun(_u16992, tc_HOL_Obool)), tc_fun(_u16992, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16991, tc_fun(_u16992, tc_HOL_Obool))), _u16994))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16995, tc_HOL_Obool), tc_fun(_u16996, tc_HOL_Obool)), _u16997), hAPP(hAPP(c_COMBC(tc_fun(_u16995, tc_HOL_Obool), tc_fun(_u16995, tc_fun(_u16996, tc_HOL_Obool)), tc_fun(_u16996, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16995, tc_fun(_u16996, tc_HOL_Obool))), _u16998)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16995, tc_fun(_u16996, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16995, tc_HOL_Obool), _u16997)), _u16998)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16999, tc_HOL_Obool)), _u17000), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16999, tc_HOL_Obool), _u17001)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16999, tc_HOL_Obool), tc_fun(_u16999, tc_HOL_Obool)), _u17001), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16999, tc_HOL_Obool)), _u17000))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17002, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17002, tc_HOL_Obool), _u17003)), _u17004) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool)), _u17003), hAPP(hAPP(c_COMBC(tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17002, tc_HOL_Obool))), _u17004))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u17005, _u17006), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17005, _u17006), tc_HOL_Obool), _u17007)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17005, _u17006), tc_HOL_Obool), tc_fun(_u17006, tc_HOL_Obool)), _u17007), c_Relation_ORange(_u17005, _u17006))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u17008, _u17009), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17008, _u17009), tc_HOL_Obool), _u17010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17008, _u17009), tc_HOL_Obool), tc_fun(_u17008, tc_HOL_Obool)), _u17010), c_Relation_ODomain(_u17008, _u17009))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17011, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17011, tc_HOL_Obool)), _u17012), _u17013)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17011, tc_HOL_Obool)), _u17012), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17011, tc_HOL_Obool), _u17013))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17014, tc_HOL_Obool), tc_HOL_Obool)), _u17015), _u17016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), _u17015)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), _u17016))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17017, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17017, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17017, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17018, tc_fun(_u17019, tc_HOL_Obool)), _u17020), _u17021) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17019, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17018, tc_fun(_u17019, tc_HOL_Obool), _u17021), _u17020))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17022, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17023, tc_fun(_u17022, tc_HOL_Obool), _u17024), _u17025)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17023, tc_fun(_u17022, tc_HOL_Obool)), _u17025), _u17024)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17026) | ~hBOOL(hAPP(hAPP(c_member(_u17026), _u17027), _u17028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17026), _u17027), c_Complete__Lattice_OSup__class_OSup(_u17026, _u17028))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17029, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17029, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17029, tc_HOL_Obool))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17030) | ~hBOOL(hAPP(hAPP(c_member(_u17030), _u17031), _u17032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17030), c_Complete__Lattice_OInf__class_OInf(_u17030, _u17032)), _u17031)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17033, tc_HOL_Obool), tc_HOL_Obool)), _u17034), _u17035)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17033, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), _u17034)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), _u17035))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17036) | ( c_Complete__Lattice_OSup__class_OSup(_u17036, c_Orderings_Obot__class_Obot(tc_fun(_u17036, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17036)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17037) | ( c_Complete__Lattice_OSup__class_OSup(_u17037, hAPP(hAPP(c_Set_Oinsert(_u17037), _u17038), c_Orderings_Obot__class_Obot(tc_fun(_u17037, tc_HOL_Obool)))) = _u17038) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17039) | ( c_Complete__Lattice_OSup__class_OSup(_u17039, hAPP(hAPP(c_Set_Oinsert(_u17039), _u17040), _u17041)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17039), _u17040), c_Complete__Lattice_OSup__class_OSup(_u17039, _u17041))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17042, tc_fun(_u17043, tc_HOL_Obool)), _u17044), hAPP(hAPP(c_COMBS(_u17042, tc_fun(_u17043, tc_HOL_Obool), tc_fun(_u17043, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17043, tc_HOL_Obool), tc_fun(tc_fun(_u17043, tc_HOL_Obool), tc_fun(_u17043, tc_HOL_Obool)), _u17042), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17043, tc_HOL_Obool))), _u17045)), _u17046)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17043, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17043, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17042, tc_fun(_u17043, tc_HOL_Obool), _u17045), _u17044))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17043, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17042, tc_fun(_u17043, tc_HOL_Obool), _u17046), _u17044)))) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17047) | ( c_Complete__Lattice_OInf__class_OInf(_u17047, hAPP(hAPP(c_Set_Oinsert(_u17047), _u17048), c_Orderings_Obot__class_Obot(tc_fun(_u17047, tc_HOL_Obool)))) = _u17048) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17049) | ( c_Complete__Lattice_OSup__class_OSup(_u17049, c_Orderings_Otop__class_Otop(tc_fun(_u17049, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17049)) )).
% 12.32/12.52
% 12.32/12.52 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 12.32/12.52 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ( c_Complete__Lattice_OInf__class_OInf(_u17050, c_Orderings_Obot__class_Obot(tc_fun(_u17050, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17050)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17051) | ( c_Complete__Lattice_OInf__class_OInf(_u17051, c_Orderings_Otop__class_Otop(tc_fun(_u17051, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17051)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17052) | ( c_Complete__Lattice_OInf__class_OInf(_u17052, hAPP(hAPP(c_Set_Oinsert(_u17052), _u17053), _u17054)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17052), _u17053), c_Complete__Lattice_OInf__class_OInf(_u17052, _u17054))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17055, tc_HOL_Obool)), _u17056), _u17057) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17055, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17055, tc_HOL_Obool)), _u17056), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17055, tc_HOL_Obool)), _u17057), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17055, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17058, tc_fun(_u17059, tc_HOL_Obool)), _u17060), hAPP(hAPP(c_COMBS(_u17058, tc_fun(_u17059, tc_HOL_Obool), tc_fun(_u17059, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17059, tc_HOL_Obool), tc_fun(tc_fun(_u17059, tc_HOL_Obool), tc_fun(_u17059, tc_HOL_Obool)), _u17058), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17059, tc_HOL_Obool))), _u17061)), _u17062)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17059, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17058, tc_fun(_u17059, tc_HOL_Obool), _u17061), _u17060))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17058, tc_fun(_u17059, tc_HOL_Obool), _u17062), _u17060)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17063, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17063, tc_HOL_Obool), tc_HOL_Obool)), _u17064), _u17065))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17063, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), _u17064)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), _u17065)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), _u17067), _u17068) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17066, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17066, tc_HOL_Obool)), _u17067), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17066, tc_HOL_Obool)), _u17068), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17066, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17069, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17069, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), _u17070)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), _u17071))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17069, tc_HOL_Obool), tc_HOL_Obool)), _u17070), _u17071)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17072) | ( c_Complete__Lattice_OSup__class_OSup(_u17072, hAPP(hAPP(c_Set_Oinsert(_u17072), _u17073), hAPP(hAPP(c_Set_Oinsert(_u17072), _u17074), c_Orderings_Obot__class_Obot(tc_fun(_u17072, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17072), _u17073), _u17074)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17075) | ( c_Complete__Lattice_OInf__class_OInf(_u17075, hAPP(hAPP(c_Set_Oinsert(_u17075), _u17076), hAPP(hAPP(c_Set_Oinsert(_u17075), _u17077), c_Orderings_Obot__class_Obot(tc_fun(_u17075, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17075), _u17076), _u17077)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17078), _u17079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17078), _u17080), c_Complete__Lattice_OSup__class_OSup(_u17078, _u17079)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17078, _u17078, c_Lattices_Osemilattice__sup__class_Osup(_u17078)), _u17080), _u17079)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17081), _u17082)) | ( _u17082 = c_Orderings_Obot__class_Obot(tc_fun(_u17081, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17081, _u17082) = c_Complete__Lattice_OSup__class_OSup(_u17081, _u17082)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17083), _u17084)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17083), _u17085), c_Complete__Lattice_OInf__class_OInf(_u17083, _u17084)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17083, _u17083, c_Lattices_Osemilattice__inf__class_Oinf(_u17083)), _u17085), _u17084)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17086), _u17087)) | ( _u17087 = c_Orderings_Obot__class_Obot(tc_fun(_u17086, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17086, _u17087) = c_Complete__Lattice_OInf__class_OInf(_u17086, _u17087)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, _u17092) | ~hBOOL(hAPP(hAPP(c_member(_u17093), _u17096), _u17094)) | ( hAPP(c_Set_Oimage(_u17089, _u17090, _u17091), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17089, tc_HOL_Obool)), _u17094), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17090, tc_HOL_Obool)), _u17094), hAPP(hAPP(c_COMBB(tc_fun(_u17089, tc_HOL_Obool), tc_fun(_u17090, tc_HOL_Obool), _u17093), c_Set_Oimage(_u17089, _u17090, _u17091)), _u17095))) | hBOOL(hAPP(hAPP(c_member(_u17093), skolem416(_u17096, _u17095, _u17094, _u17093, _u17092, _u17091, _u17090, _u17089)), _u17094)) )).
% 12.32/12.53 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, _u17092) | ~hBOOL(hAPP(hAPP(c_member(_u17093), _u17096), _u17094)) | ( hAPP(c_Set_Oimage(_u17089, _u17090, _u17091), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17089, tc_HOL_Obool)), _u17094), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17090, tc_HOL_Obool)), _u17094), hAPP(hAPP(c_COMBB(tc_fun(_u17089, tc_HOL_Obool), tc_fun(_u17090, tc_HOL_Obool), _u17093), c_Set_Oimage(_u17089, _u17090, _u17091)), _u17095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17089, tc_HOL_Obool)), hAPP(_u17095, skolem416(_u17096, _u17095, _u17094, _u17093, _u17092, _u17091, _u17090, _u17089))), _u17092)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.53 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem419(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.53 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( skolem418(_u17102, _u17101, _u17100) != skolem419(_u17102, _u17101, _u17100)) )).
% 12.32/12.53 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), skolem419(_u17102, _u17101, _u17100)) != c_Orderings_Obot__class_Obot(tc_fun(_u17100, tc_HOL_Obool))) )).
% 12.32/12.53 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.53 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem419(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.53 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( skolem418(_u17102, _u17101, _u17100) != skolem419(_u17102, _u17101, _u17100)) )).
% 12.32/12.53 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), skolem419(_u17102, _u17101, _u17100)) != c_Orderings_Obot__class_Obot(tc_fun(_u17100, tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17103, tc_HOL_Obool), _u17104) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17103, tc_HOL_Obool), tc_fun(_u17103, tc_HOL_Obool)), _u17104), c_COMBI(tc_fun(_u17103, tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17105, tc_HOL_Obool), _u17106) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17105, tc_HOL_Obool), tc_fun(_u17105, tc_HOL_Obool)), _u17106), c_COMBI(tc_fun(_u17105, tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17108, tc_HOL_Obool)), _u17109)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17108, tc_HOL_Obool), _u17109))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17108, tc_HOL_Obool)), skolem420(_u17109, _u17108)), _u17109)) )).
% 12.32/12.53 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17108, tc_HOL_Obool)), _u17109)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17108, tc_HOL_Obool), _u17109))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), skolem420(_u17109, _u17108))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), skolem421(_u17114, _u17113, _u17112)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114))) )).
% 12.32/12.53 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), skolem422(_u17114, _u17113, _u17112)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114))) )).
% 12.32/12.53 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | ( skolem421(_u17114, _u17113, _u17112) != skolem422(_u17114, _u17113, _u17112)) )).
% 12.32/12.53 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), skolem421(_u17114, _u17113, _u17112)), skolem422(_u17114, _u17113, _u17112)) != c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__on__Inter-1, axiom, ( ( _u17116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17117, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17117, _u17118, _u17119, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17117, tc_HOL_Obool), _u17116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17117, tc_HOL_Obool)), skolem423(_u17119, _u17118, _u17117, _u17116)), _u17116)) )).
% 12.32/12.53 cnf(fact_inj__on__Inter-2, axiom, ( ( _u17116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17117, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17117, _u17118, _u17119, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17117, tc_HOL_Obool), _u17116)) | ~c_Fun_Oinj__on(_u17117, _u17118, _u17119, skolem423(_u17119, _u17118, _u17117, _u17116)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inter__subset-1, axiom, ( ( _u17122 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17121, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17121, tc_HOL_Obool), _u17122)), _u17123)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17121, tc_HOL_Obool)), skolem424(_u17123, _u17122, _u17121)), _u17122)) )).
% 12.32/12.53 cnf(fact_Inter__subset-2, axiom, ( ( _u17122 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17121, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17121, tc_HOL_Obool), _u17122)), _u17123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), skolem424(_u17123, _u17122, _u17121)), _u17123)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__on__INTER-1, axiom, ( ( _u17125 = c_Orderings_Obot__class_Obot(tc_fun(_u17126, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17126, tc_fun(_u17127, tc_HOL_Obool)), _u17125), _u17130)) | hBOOL(hAPP(hAPP(c_member(_u17126), skolem425(_u17130, _u17129, _u17128, _u17127, _u17126, _u17125)), _u17125)) )).
% 12.32/12.53 cnf(fact_inj__on__INTER-2, axiom, ( ( _u17125 = c_Orderings_Obot__class_Obot(tc_fun(_u17126, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17126, tc_fun(_u17127, tc_HOL_Obool)), _u17125), _u17130)) | ~c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(_u17130, skolem425(_u17130, _u17129, _u17128, _u17127, _u17126, _u17125))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17132, _u17133, _u17134) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, hAPP(hAPP(c_Set_Oinsert(_u17132), _u17136), _u17137)), _u17138)) | hBOOL(hAPP(hAPP(c_member(_u17132), _u17136), _u17137)) | ( _u17138 = hAPP(hAPP(_u17134, _u17136), skolem426(_u17138, _u17137, _u17136, _u17135, _u17134, _u17133, _u17132))) )).
% 12.32/12.53 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17132, _u17133, _u17134) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, hAPP(hAPP(c_Set_Oinsert(_u17132), _u17136), _u17137)), _u17138)) | hBOOL(hAPP(hAPP(c_member(_u17132), _u17136), _u17137)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, _u17137), skolem426(_u17138, _u17137, _u17136, _u17135, _u17134, _u17133, _u17132))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u17140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17140), _u17141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), hAPP(hAPP(c_Finite__Set_Ofold(_u17140, _u17140, c_Orderings_Oord__class_Omax(_u17140)), _u17143), _u17141)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17140), _u17142), _u17143))) | hBOOL(hAPP(hAPP(c_member(_u17140), skolem427(_u17143, _u17142, _u17141, _u17140)), _u17141)) )).
% 12.32/12.53 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u17140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17140), _u17141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), hAPP(hAPP(c_Finite__Set_Ofold(_u17140, _u17140, c_Orderings_Oord__class_Omax(_u17140)), _u17143), _u17141)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17140), _u17142), _u17143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), skolem427(_u17143, _u17142, _u17141, _u17140)), _u17142)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u17145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17145), _u17146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17145), _u17147), _u17148)), hAPP(hAPP(c_Finite__Set_Ofold(_u17145, _u17145, c_Orderings_Oord__class_Omin(_u17145)), _u17148), _u17146))) | hBOOL(hAPP(hAPP(c_member(_u17145), skolem428(_u17148, _u17147, _u17146, _u17145)), _u17146)) )).
% 12.32/12.53 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u17145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17145), _u17146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17145), _u17147), _u17148)), hAPP(hAPP(c_Finite__Set_Ofold(_u17145, _u17145, c_Orderings_Oord__class_Omin(_u17145)), _u17148), _u17146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), _u17147), skolem428(_u17148, _u17147, _u17146, _u17145))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_InterI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17150, tc_HOL_Obool), _u17151))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17150, tc_HOL_Obool)), skolem429(_u17152, _u17151, _u17150)), _u17151)) )).
% 12.32/12.53 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17150, tc_HOL_Obool), _u17151))) | ~hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), skolem429(_u17152, _u17151, _u17150))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u17154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17154), _u17155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17154), _u17156), _u17157)), hAPP(hAPP(c_Finite__Set_Ofold(_u17154, _u17154, c_Lattices_Osemilattice__inf__class_Oinf(_u17154)), _u17157), _u17155))) | hBOOL(hAPP(hAPP(c_member(_u17154), skolem430(_u17157, _u17156, _u17155, _u17154)), _u17155)) )).
% 12.32/12.53 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u17154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17154), _u17155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17154), _u17156), _u17157)), hAPP(hAPP(c_Finite__Set_Ofold(_u17154, _u17154, c_Lattices_Osemilattice__inf__class_Oinf(_u17154)), _u17157), _u17155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), _u17156), skolem430(_u17157, _u17156, _u17155, _u17154))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u17159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), _u17160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), hAPP(hAPP(c_Finite__Set_Ofold(_u17159, _u17159, c_Lattices_Osemilattice__sup__class_Osup(_u17159)), _u17162), _u17160)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17159), _u17161), _u17162))) | hBOOL(hAPP(hAPP(c_member(_u17159), skolem431(_u17162, _u17161, _u17160, _u17159)), _u17160)) )).
% 12.32/12.53 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u17159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), _u17160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), hAPP(hAPP(c_Finite__Set_Ofold(_u17159, _u17159, c_Lattices_Osemilattice__sup__class_Osup(_u17159)), _u17162), _u17160)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17159), _u17161), _u17162))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), skolem431(_u17162, _u17161, _u17160, _u17159)), _u17161)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u17173, _u17175) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17163), _u17166)) | hBOOL(hAPP(hAPP(c_member(_u17173), skolem432(_u17175, _u17173, _u17166)), _u17166)) )).
% 12.32/12.53 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u17173, _u17175) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17163), _u17166)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17173, _u17173)), hAPP(hAPP(c_Product__Type_OPair(_u17173, _u17173), _u17164), skolem432(_u17175, _u17173, _u17166))), _u17175)) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17164), _u17166)) )).
% 12.32/12.53 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u17174, _u17176) | hBOOL(hAPP(hAPP(c_member(_u17174), skolem434(_u17176, _u17174)), skolem433(_u17176, _u17174))) )).
% 12.32/12.53 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u17174, _u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17174), _u17169), skolem433(_u17176, _u17174))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17174, _u17174)), hAPP(hAPP(c_Product__Type_OPair(_u17174, _u17174), skolem435(_u17176, _u17174, _u17169)), _u17169)), _u17176)) )).
% 12.32/12.53 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u17174, _u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17174), _u17169), skolem433(_u17176, _u17174))) | hBOOL(hAPP(hAPP(c_member(_u17174), skolem435(_u17176, _u17174, _u17169)), skolem433(_u17176, _u17174))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17178), _u17183)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17178), _u17184)) | ( hAPP(_u17182, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17178, tc_HOL_Obool)), _u17183), _u17184)) = hAPP(hAPP(_u17179, hAPP(_u17182, _u17183)), hAPP(_u17182, _u17184))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17177, _u17178, _u17179, _u17180, _u17181, _u17182) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 12.32/12.53 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)))), _u17186)) = 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)))), _u17187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem436(_u17187, _u17186))) )).
% 12.32/12.53 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)))), _u17186)) = 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)))), _u17187))) | hBOOL(hAPP(_u17186, skolem436(_u17187, _u17186))) | hBOOL(hAPP(_u17187, skolem436(_u17187, _u17186))) )).
% 12.32/12.53 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)))), _u17186)) = 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)))), _u17187))) | ~hBOOL(hAPP(_u17187, skolem436(_u17187, _u17186))) | ~hBOOL(hAPP(_u17186, skolem436(_u17187, _u17186))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u17190, _u17194), _u17194) = _u17194) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17188, _u17189, _u17190, _u17191, _u17192, _u17193) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17196), _u17201)) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17202), _u17201)) | ( hAPP(hAPP(_u17197, hAPP(_u17199, _u17202)), hAPP(_u17200, _u17201)) = hAPP(_u17200, _u17201)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17195, _u17196, _u17197, _u17198, _u17199, _u17200) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17204), _u17209)) | ( hAPP(_u17208, hAPP(hAPP(c_Set_Oinsert(_u17204), _u17210), _u17209)) = hAPP(hAPP(_u17205, hAPP(_u17207, _u17210)), hAPP(_u17208, _u17209))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17203, _u17204, _u17205, _u17206, _u17207, _u17208) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17212), _u17217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17212, tc_HOL_Obool)), _u17218), _u17217)) | ( hAPP(hAPP(_u17213, hAPP(_u17216, _u17218)), hAPP(_u17216, _u17217)) = hAPP(_u17216, _u17217)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17211, _u17212, _u17213, _u17214, _u17215, _u17216) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | hBOOL(hAPP(hAPP(c_member(_u17220), skolem437(_u17224, _u17223, _u17222, _u17221, _u17220)), _u17221)) )).
% 12.32/12.53 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | hBOOL(hAPP(_u17223, skolem437(_u17224, _u17223, _u17222, _u17221, _u17220))) )).
% 12.32/12.53 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | ~hBOOL(hAPP(_u17224, skolem437(_u17224, _u17223, _u17222, _u17221, _u17220))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17226, tc_HOL_Obool), _u17228))) | hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), skolem438(_u17228, _u17227, _u17226))) )).
% 12.32/12.53 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17226, tc_HOL_Obool), _u17228))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17226, tc_HOL_Obool)), skolem438(_u17228, _u17227, _u17226)), _u17228)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__upd__left ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__upd__left-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17229), _u17230), c_Map_Odom(_u17229, _u17231, _u17232))) | ( c_Map_Omap__add(_u17229, _u17231, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17229, tc_Option_Ooption(_u17231)), _u17233), _u17230), hAPP(c_Option_Ooption_OSome(_u17231), _u17234)), _u17232) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17229, tc_Option_Ooption(_u17231)), c_Map_Omap__add(_u17229, _u17231, _u17233, _u17232)), _u17230), hAPP(c_Option_Ooption_OSome(_u17231), _u17234))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_converseE ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17237, _u17238)), _u17239), hAPP(c_Relation_Oconverse(_u17238, _u17237), _u17240))) | ( _u17239 = hAPP(hAPP(c_Product__Type_OPair(_u17237, _u17238), skolem440(_u17240, _u17239, _u17238, _u17237)), skolem439(_u17240, _u17239, _u17238, _u17237))) )).
% 12.32/12.53 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17237, _u17238)), _u17239), hAPP(c_Relation_Oconverse(_u17238, _u17237), _u17240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17238, _u17237)), hAPP(hAPP(c_Product__Type_OPair(_u17238, _u17237), skolem439(_u17240, _u17239, _u17238, _u17237)), skolem440(_u17240, _u17239, _u17238, _u17237))), _u17240)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__def-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17241, _u17242, _u17243, _u17244), _u17245) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17242), _u17242, hAPP(_u17243, _u17245), c_Option_Ooption_OSome(_u17242)), hAPP(_u17244, _u17245))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_empty__map__add ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_empty__map__add-1, axiom, ( ( c_Map_Omap__add(_u17246, _u17247, hAPP(c_COMBK(tc_Option_Ooption(_u17247), _u17246), c_Option_Ooption_ONone(_u17247)), _u17248) = _u17248) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__empty-1, axiom, ( ( c_Map_Omap__add(_u17249, _u17250, _u17251, hAPP(c_COMBK(tc_Option_Ooption(_u17250), _u17249), c_Option_Ooption_ONone(_u17250))) = _u17251) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__assoc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__assoc-1, axiom, ( ( c_Map_Omap__add(_u17252, _u17253, _u17254, c_Map_Omap__add(_u17252, _u17253, _u17255, _u17256)) = c_Map_Omap__add(_u17252, _u17253, c_Map_Omap__add(_u17252, _u17253, _u17254, _u17255), _u17256)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__find__right ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__find__right-1, axiom, ( ( hAPP(_u17257, _u17258) != hAPP(c_Option_Ooption_OSome(_u17259), _u17260)) | ( hAPP(c_Map_Omap__add(_u17261, _u17259, _u17262, _u17257), _u17258) = hAPP(c_Option_Ooption_OSome(_u17259), _u17260)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__None ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__None-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17268, _u17270, _u17272, _u17274), _u17276) != c_Option_Ooption_ONone(_u17270)) | ( hAPP(_u17274, _u17276) = c_Option_Ooption_ONone(_u17270)) )).
% 12.32/12.53 cnf(fact_map__add__None-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17268, _u17270, _u17272, _u17274), _u17276) != c_Option_Ooption_ONone(_u17270)) | ( hAPP(_u17272, _u17276) = c_Option_Ooption_ONone(_u17270)) )).
% 12.32/12.53 cnf(fact_map__add__None-3, axiom, ( ( hAPP(_u17275, _u17277) != c_Option_Ooption_ONone(_u17271)) | ( hAPP(_u17273, _u17277) != c_Option_Ooption_ONone(_u17271)) | ( hAPP(c_Map_Omap__add(_u17269, _u17271, _u17273, _u17275), _u17277) = c_Option_Ooption_ONone(_u17271)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__dom__app__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__dom__app__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17278), _u17279), c_Map_Odom(_u17278, _u17280, _u17281))) | ( hAPP(c_Map_Omap__add(_u17278, _u17280, _u17282, _u17281), _u17279) = hAPP(_u17281, _u17279)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__dom__app__simps_I3_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__dom__app__simps_I3_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17283), _u17284), c_Map_Odom(_u17283, _u17285, _u17286))) | ( hAPP(c_Map_Omap__add(_u17283, _u17285, _u17287, _u17286), _u17284) = hAPP(_u17287, _u17284)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__dom__app__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__dom__app__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17288), _u17289), c_Map_Odom(_u17288, _u17290, _u17291))) | ( hAPP(c_Map_Omap__add(_u17288, _u17290, _u17291, _u17292), _u17289) = hAPP(_u17292, _u17289)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_dom__map__add ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_dom__map__add-1, axiom, ( ( c_Map_Odom(_u17293, _u17294, c_Map_Omap__add(_u17293, _u17294, _u17295, _u17296)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17293, tc_HOL_Obool)), c_Map_Odom(_u17293, _u17294, _u17296)), c_Map_Odom(_u17293, _u17294, _u17295))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__Some__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__Some__iff-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17303, _u17305, _u17307, _u17309), _u17311) != hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = c_Option_Ooption_ONone(_u17305)) )).
% 12.32/12.53 cnf(fact_map__add__Some__iff-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17303, _u17305, _u17307, _u17309), _u17311) != hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17307, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) )).
% 12.32/12.53 cnf(fact_map__add__Some__iff-3, axiom, ( ( hAPP(c_Map_Omap__add(_u17304, _u17306, _u17308, _u17310), _u17312) = hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) | ( hAPP(_u17310, _u17312) != hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) )).
% 12.32/12.53 cnf(fact_map__add__Some__iff-4, axiom, ( ( hAPP(c_Map_Omap__add(_u17304, _u17306, _u17308, _u17310), _u17312) = hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) | ( hAPP(_u17310, _u17312) != c_Option_Ooption_ONone(_u17306)) | ( hAPP(_u17308, _u17312) != hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__SomeD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17315, _u17316, _u17317, _u17318), _u17319) != hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = c_Option_Ooption_ONone(_u17316)) )).
% 12.32/12.53 cnf(fact_map__add__SomeD-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17315, _u17316, _u17317, _u17318), _u17319) != hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17317, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__upd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__upd-1, axiom, ( ( c_Map_Omap__add(_u17321, _u17322, _u17323, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17321, tc_Option_Ooption(_u17322)), _u17324), _u17325), hAPP(c_Option_Ooption_OSome(_u17322), _u17326))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17321, tc_Option_Ooption(_u17322)), c_Map_Omap__add(_u17321, _u17322, _u17323, _u17324)), _u17325), hAPP(c_Option_Ooption_OSome(_u17322), _u17326))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__on__map__add__dom ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__on__map__add__dom-1, axiom, ( ~c_Fun_Oinj__on(_u17331, tc_Option_Ooption(_u17333), c_Map_Omap__add(_u17331, _u17333, _u17335, _u17337), c_Map_Odom(_u17331, _u17333, _u17337)) | c_Fun_Oinj__on(_u17331, tc_Option_Ooption(_u17333), _u17337, c_Map_Odom(_u17331, _u17333, _u17337)) )).
% 12.32/12.53 cnf(fact_inj__on__map__add__dom-2, axiom, ( ~c_Fun_Oinj__on(_u17332, tc_Option_Ooption(_u17334), _u17338, c_Map_Odom(_u17332, _u17334, _u17338)) | c_Fun_Oinj__on(_u17332, tc_Option_Ooption(_u17334), c_Map_Omap__add(_u17332, _u17334, _u17336, _u17338), c_Map_Odom(_u17332, _u17334, _u17338)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__comm ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__comm-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17339, tc_HOL_Obool)), c_Map_Odom(_u17339, _u17340, _u17341)), c_Map_Odom(_u17339, _u17340, _u17342)) != c_Orderings_Obot__class_Obot(tc_fun(_u17339, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17339, _u17340, _u17341, _u17342) = c_Map_Omap__add(_u17339, _u17340, _u17342, _u17341)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__range__map__of__map__add ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__range__map__of__map__add-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17343)), hAPP(c_Set_Oimage(_u17344, tc_Option_Ooption(_u17343), _u17345), c_Orderings_Otop__class_Otop(tc_fun(_u17344, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17343)), hAPP(c_Set_Oimage(_u17344, tc_Option_Ooption(_u17343), c_Map_Omap__add(_u17344, _u17343, _u17345, c_Map_Omap__of(_u17344, _u17343, _u17346))), c_Orderings_Otop__class_Otop(tc_fun(_u17344, tc_HOL_Obool))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | ( _u17352 = hAPP(hAPP(c_Product__Type_OPair(_u17350, _u17351), skolem441(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem443(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))) )).
% 12.32/12.53 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17353)), hAPP(hAPP(c_Product__Type_OPair(_u17350, _u17353), skolem441(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem442(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))), _u17354)) )).
% 12.32/12.53 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17353, _u17351)), hAPP(hAPP(c_Product__Type_OPair(_u17353, _u17351), skolem442(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem443(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))), _u17355)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__dom__map__of ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__dom__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17356), c_Map_Odom(_u17356, _u17357, c_Map_Omap__of(_u17356, _u17357, _u17358)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__range__map__of ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__range__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17359)), hAPP(c_Set_Oimage(_u17360, tc_Option_Ooption(_u17359), c_Map_Omap__of(_u17360, _u17359, _u17361)), c_Orderings_Otop__class_Otop(tc_fun(_u17360, tc_HOL_Obool))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__map__of__foldr ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__map__of__foldr-1, axiom, ( ( c_Map_Omap__add(_u17362, _u17363, _u17364, c_Map_Omap__of(_u17362, _u17363, _u17365)) = c_List_Ofoldr(tc_prod(_u17362, _u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17362, _u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), hAPP(hAPP(c_COMBC(_u17362, tc_fun(_u17363, tc_Option_Ooption(_u17363)), tc_fun(_u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), tc_fun(tc_fun(_u17363, tc_Option_Ooption(_u17363)), tc_fun(_u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))))), _u17362), c_COMBB(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))), _u17363)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), tc_fun(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), _u17362), c_COMBC(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), hAPP(c_COMBC(tc_fun(_u17362, tc_Option_Ooption(_u17363)), _u17362, tc_fun(tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), c_Fun_Ofun__upd(_u17362, tc_Option_Ooption(_u17363)))))), c_Option_Ooption_OSome(_u17363))), _u17365, _u17364)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_ ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_-1, axiom, ( ( c_Smallcheck_Oorelse(_u17366, _u17367, _u17368) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17366), _u17366, _u17368, c_Option_Ooption_OSome(_u17366)), _u17367)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_full__small__int__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_full__small__int__def-1, axiom, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17369, _u17370) = c_Smallcheck_Ofull__small_H(_u17369, hAPP(c_Code__Numeral_Oint__of, _u17370), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17370)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_small_H_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_small_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17374), _u17376)) | ( c_Smallcheck_Osmall_H(_u17378, _u17374, _u17376) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.32/12.53 cnf(fact_small_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17375), _u17377)) | ( c_Smallcheck_Osmall_H(_u17379, _u17375, _u17377) = 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(_u17379, _u17375, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17377), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17379, _u17377))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_small_H_Opsimps ( axiom ) converted to clauses:
% 12.32/12.53 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)), _u17380), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17381), _u17382)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17381), _u17382)) | ( c_Smallcheck_Osmall_H(_u17380, _u17381, _u17382) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.32/12.53 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)), _u17380), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17381), _u17382)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17381), _u17382)) | ( c_Smallcheck_Osmall_H(_u17380, _u17381, _u17382) = 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(_u17380, _u17381, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17382), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17380, _u17382))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_small__int__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_small__int__def-1, axiom, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17383), _u17384) = c_Smallcheck_Osmall_H(_u17383, hAPP(c_Code__Numeral_Oint__of, _u17384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17384)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_small__prod__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_small__prod__def-1, axiom, ( ~class_Smallcheck_Osmall(_u17385) | ~class_Smallcheck_Osmall(_u17386) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17386, _u17385)), _u17387), _u17388) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17386), hAPP(hAPP(c_COMBC(_u17386, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17385, 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))), _u17386), c_Smallcheck_Osmall__class_Osmall(_u17385)), hAPP(hAPP(c_COMBB(tc_fun(_u17385, tc_prod(_u17386, _u17385)), tc_fun(_u17385, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17386), hAPP(c_COMBB(tc_prod(_u17386, _u17385), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17385), _u17387)), c_Product__Type_OPair(_u17386, _u17385)))), _u17388)), _u17388)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_small_H_Opinduct ( axiom ) converted to clauses:
% 12.32/12.53 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | 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(_u17395, _u17394, _u17393, _u17392)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))))) )).
% 12.32/12.53 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))) | ( hAPP(skolem444(_u17395, _u17394, _u17393, _u17392), skolem446(_u17395, _u17394, _u17393, _u17392)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17395, skolem444(_u17395, _u17394, _u17393, _u17392)), skolem445(_u17395, _u17394, _u17393, _u17392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem446(_u17395, _u17394, _u17393, _u17392)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.53 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | ~hBOOL(hAPP(hAPP(hAPP(_u17395, skolem444(_u17395, _u17394, _u17393, _u17392)), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_body__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_body__def-1, axiom, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__mapk__SomeI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__mapk__SomeI-1, axiom, ( ~c_Fun_Oinj__on(_u17396, _u17397, _u17398, c_Orderings_Otop__class_Otop(tc_fun(_u17396, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17396, _u17399, _u17400), _u17401) != hAPP(c_Option_Ooption_OSome(_u17399), _u17402)) | ( hAPP(c_Map_Omap__of(_u17397, _u17399, hAPP(hAPP(c_List_Omap(tc_prod(_u17396, _u17399), tc_prod(_u17397, _u17399)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17396, _u17399, tc_prod(_u17397, _u17399)), hAPP(hAPP(c_COMBB(_u17397, tc_fun(_u17399, tc_prod(_u17397, _u17399)), _u17396), c_Product__Type_OPair(_u17397, _u17399)), _u17398))), _u17400)), hAPP(_u17398, _u17401)) = hAPP(c_Option_Ooption_OSome(_u17399), _u17402)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__def-1, axiom, ( ( c_Map_Omap__comp(_u17403, _u17404, _u17405, _u17406, _u17407, _u17408) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17404), _u17403, c_Option_Ooption_ONone(_u17404), _u17406), hAPP(_u17407, _u17408))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17409, _u17410, _u17411, c_Orderings_Otop__class_Otop(tc_fun(_u17409, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17409), tc_List_Olist(_u17410), hAPP(c_List_Omap(_u17409, _u17410), _u17411), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17409), tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__simps_I2_J-1, axiom, ( ( hAPP(_u17412, _u17413) != hAPP(c_Option_Ooption_OSome(_u17414), _u17415)) | ( c_Map_Omap__comp(_u17414, _u17416, _u17417, _u17418, _u17412, _u17413) = hAPP(_u17418, _u17415)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__Some__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__Some__iff-1, axiom, ( ( c_Map_Omap__comp(_u17428, _u17430, _u17432, _u17434, _u17436, _u17438) != hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) | ( hAPP(_u17436, _u17438) = hAPP(c_Option_Ooption_OSome(_u17428), skolem447(_u17440, _u17438, _u17436, _u17434, _u17432, _u17430, _u17428))) )).
% 12.32/12.53 cnf(fact_map__comp__Some__iff-2, axiom, ( ( c_Map_Omap__comp(_u17428, _u17430, _u17432, _u17434, _u17436, _u17438) != hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) | ( hAPP(_u17434, skolem447(_u17440, _u17438, _u17436, _u17434, _u17432, _u17430, _u17428)) = hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) )).
% 12.32/12.53 cnf(fact_map__comp__Some__iff-3, axiom, ( ( hAPP(_u17437, _u17439) != hAPP(c_Option_Ooption_OSome(_u17429), _u17420)) | ( hAPP(_u17435, _u17420) != hAPP(c_Option_Ooption_OSome(_u17431), _u17441)) | ( c_Map_Omap__comp(_u17429, _u17431, _u17433, _u17435, _u17437, _u17439) = hAPP(c_Option_Ooption_OSome(_u17431), _u17441)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__simps_I1_J-1, axiom, ( ( hAPP(_u17442, _u17443) != c_Option_Ooption_ONone(_u17444)) | ( c_Map_Omap__comp(_u17444, _u17445, _u17446, _u17447, _u17442, _u17443) = c_Option_Ooption_ONone(_u17445)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17448, _u17449), _u17450), _u17451) != hAPP(hAPP(c_List_Omap(_u17448, _u17449), _u17450), _u17452)) | ~c_Fun_Oinj__on(_u17448, _u17449, _u17450, c_Orderings_Otop__class_Otop(tc_fun(_u17448, tc_HOL_Obool))) | ( _u17451 = _u17452) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17453), tc_List_Olist(_u17454), hAPP(c_List_Omap(_u17453, _u17454), _u17455), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17453), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17453, _u17454, _u17455, c_Orderings_Otop__class_Otop(tc_fun(_u17453, tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17456, _u17457, _u17458, c_Orderings_Otop__class_Otop(tc_fun(_u17456, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17459) != hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17460)) | ( _u17459 = _u17460) )).
% 12.32/12.53 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17456, _u17457, _u17458, c_Orderings_Otop__class_Otop(tc_fun(_u17456, tc_HOL_Obool))) | ( _u17459 != _u17460) | ( hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17459) = hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17460)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17464), tc_List_Olist(_u17466), hAPP(c_List_Omap(_u17464, _u17466), _u17468), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17464), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17464, _u17466, _u17468, c_Orderings_Otop__class_Otop(tc_fun(_u17464, tc_HOL_Obool))) )).
% 12.32/12.53 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17465, _u17467, _u17469, c_Orderings_Otop__class_Otop(tc_fun(_u17465, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17465), tc_List_Olist(_u17467), hAPP(c_List_Omap(_u17465, _u17467), _u17469), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17465), tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17470, _u17470), c_COMBI(_u17470)), _u17471) = _u17471) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17472, _u17472), c_Fun_Oid(_u17472)) = c_Fun_Oid(tc_List_Olist(_u17472))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17473, _u17473), c_COMBI(_u17473)) = c_Fun_Oid(tc_List_Olist(_u17473))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17474), tc_List_Olist(_u17475), tc_List_Olist(_u17476), hAPP(c_List_Omap(_u17474, _u17475), _u17477)), hAPP(c_List_Omap(_u17476, _u17474), _u17478)) = hAPP(c_List_Omap(_u17476, _u17475), hAPP(c_Fun_Ocomp(_u17474, _u17475, _u17476, _u17477), _u17478))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17479), tc_List_Olist(_u17480), tc_List_Olist(_u17481), hAPP(c_List_Omap(_u17479, _u17480), _u17482)), hAPP(c_List_Omap(_u17481, _u17479), _u17483)) = hAPP(c_List_Omap(_u17481, _u17480), hAPP(c_Fun_Ocomp(_u17479, _u17480, _u17481, _u17482), _u17483))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17484, _u17485), _u17486), hAPP(hAPP(c_List_Omap(_u17487, _u17484), _u17488), _u17489)) = hAPP(hAPP(c_List_Omap(_u17487, _u17485), hAPP(c_Fun_Ocomp(_u17484, _u17485, _u17487, _u17486), _u17488)), _u17489)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17490, _u17491), _u17492), hAPP(hAPP(c_List_Omap(_u17493, _u17490), _u17494), _u17495)) = hAPP(hAPP(c_List_Omap(_u17493, _u17491), hAPP(c_Fun_Ocomp(_u17490, _u17491, _u17493, _u17492), _u17494)), _u17495)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17496, _u17497, _u17498, hAPP(hAPP(c_List_Omap(_u17499, _u17496), _u17500), _u17501), _u17502) = c_List_Ofoldr(_u17499, _u17497, hAPP(c_Fun_Ocomp(_u17496, tc_fun(_u17497, _u17497), _u17499, _u17498), _u17500), _u17501, _u17502)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__empty_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__empty_I2_J-1, axiom, ( ( c_Map_Omap__comp(_u17503, _u17504, _u17505, hAPP(c_COMBK(tc_Option_Ooption(_u17504), _u17503), c_Option_Ooption_ONone(_u17504)), _u17506, _u17507) = c_Option_Ooption_ONone(_u17504)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__empty_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__empty_I1_J-1, axiom, ( ( c_Map_Omap__comp(_u17508, _u17509, _u17510, _u17511, hAPP(c_COMBK(tc_Option_Ooption(_u17508), _u17510), c_Option_Ooption_ONone(_u17508)), _u17512) = c_Option_Ooption_ONone(_u17509)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__comp__None__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__comp__None__iff-1, axiom, ( ( c_Map_Omap__comp(_u17521, _u17523, _u17525, _u17527, _u17529, _u17531) != c_Option_Ooption_ONone(_u17523)) | ( hAPP(_u17529, _u17531) = c_Option_Ooption_ONone(_u17521)) | ( hAPP(_u17529, _u17531) = hAPP(c_Option_Ooption_OSome(_u17521), skolem448(_u17531, _u17529, _u17527, _u17525, _u17523, _u17521))) )).
% 12.32/12.53 cnf(fact_map__comp__None__iff-2, axiom, ( ( c_Map_Omap__comp(_u17521, _u17523, _u17525, _u17527, _u17529, _u17531) != c_Option_Ooption_ONone(_u17523)) | ( hAPP(_u17529, _u17531) = c_Option_Ooption_ONone(_u17521)) | ( hAPP(_u17527, skolem448(_u17531, _u17529, _u17527, _u17525, _u17523, _u17521)) = c_Option_Ooption_ONone(_u17523)) )).
% 12.32/12.53 cnf(fact_map__comp__None__iff-3, axiom, ( ( c_Map_Omap__comp(_u17522, _u17524, _u17526, _u17528, _u17530, _u17532) = c_Option_Ooption_ONone(_u17524)) | ( hAPP(_u17530, _u17532) != c_Option_Ooption_ONone(_u17522)) )).
% 12.32/12.53 cnf(fact_map__comp__None__iff-4, axiom, ( ( c_Map_Omap__comp(_u17522, _u17524, _u17526, _u17528, _u17530, _u17532) = c_Option_Ooption_ONone(_u17524)) | ( hAPP(_u17530, _u17532) != hAPP(c_Option_Ooption_OSome(_u17522), _u17514)) | ( hAPP(_u17528, _u17514) != c_Option_Ooption_ONone(_u17524)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__map-1, axiom, ( ( c_Map_Omap__of(_u17533, _u17534, hAPP(hAPP(c_List_Omap(tc_prod(_u17533, _u17535), tc_prod(_u17533, _u17534)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17533, _u17535, tc_prod(_u17533, _u17534)), hAPP(hAPP(c_COMBC(_u17533, tc_fun(_u17535, _u17534), tc_fun(_u17535, tc_prod(_u17533, _u17534))), hAPP(hAPP(c_COMBB(tc_fun(_u17534, tc_prod(_u17533, _u17534)), tc_fun(tc_fun(_u17535, _u17534), tc_fun(_u17535, tc_prod(_u17533, _u17534))), _u17533), c_COMBB(_u17534, tc_prod(_u17533, _u17534), _u17535)), c_Product__Type_OPair(_u17533, _u17534))), _u17536))), _u17537)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17535), tc_Option_Ooption(_u17534), _u17533, hAPP(c_Option_Omap(_u17535, _u17534), _u17536)), c_Map_Omap__of(_u17533, _u17535, _u17537))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__map__keys ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__map__keys-1, axiom, ( ( hAPP(c_List_Oset(_u17538), _u17539) != c_Map_Odom(_u17538, _u17540, _u17541)) | ( c_Map_Omap__of(_u17538, _u17540, hAPP(hAPP(c_List_Omap(_u17538, tc_prod(_u17538, _u17540)), hAPP(hAPP(c_COMBS(_u17538, _u17540, tc_prod(_u17538, _u17540)), c_Product__Type_OPair(_u17538, _u17540)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17540), _u17540, _u17538), c_Option_Othe(_u17540)), _u17541))), _u17539)) = _u17541) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17542), hAPP(c_List_Oset(_u17542), _u17543))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17544), hAPP(hAPP(c_List_Omap(_u17545, _u17544), _u17546), _u17547)) = hAPP(c_Set_Oimage(_u17545, _u17544, _u17546), hAPP(c_List_Oset(_u17545), _u17547))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17555, _u17557), _u17559), _u17561) != hAPP(hAPP(c_List_Omap(_u17555, _u17557), _u17563), _u17561)) | ~hBOOL(hAPP(hAPP(c_member(_u17555), _u17548), hAPP(c_List_Oset(_u17555), _u17561))) | ( hAPP(_u17559, _u17548) = hAPP(_u17563, _u17548)) )).
% 12.32/12.53 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17560), _u17562) = hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17564), _u17562)) | hBOOL(hAPP(hAPP(c_member(_u17556), skolem449(_u17564, _u17562, _u17560, _u17558, _u17556)), hAPP(c_List_Oset(_u17556), _u17562))) )).
% 12.32/12.53 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17560), _u17562) = hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17564), _u17562)) | ( hAPP(_u17560, skolem449(_u17564, _u17562, _u17560, _u17558, _u17556)) != hAPP(_u17564, skolem449(_u17564, _u17562, _u17560, _u17558, _u17556))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__o__sum__case ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__o__sum__case-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), tc_sum(_u17567, _u17568), hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), c_Sum__Type_Osum_Osum__case(_u17567, tc_Option_Ooption(_u17565), _u17568, _u17570, _u17571)) = c_Sum__Type_Osum_Osum__case(_u17567, tc_Option_Ooption(_u17566), _u17568, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), _u17567, hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), _u17570), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), _u17568, hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), _u17571))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__comp ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__comp-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17572, _u17573), _u17574), hAPP(hAPP(c_Option_Omap(_u17575, _u17572), _u17576), _u17577)) = hAPP(hAPP(c_Option_Omap(_u17575, _u17573), hAPP(c_Fun_Ocomp(_u17572, _u17573, _u17575, _u17574), _u17576)), _u17577)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Option_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Option_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17578, _u17579), _u17580), hAPP(hAPP(c_Option_Omap(_u17581, _u17578), _u17582), _u17583)) = hAPP(hAPP(c_Option_Omap(_u17581, _u17579), hAPP(c_Fun_Ocomp(_u17578, _u17579, _u17581, _u17580), _u17582)), _u17583)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Option_Omap_Ocomp ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Option_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17584), tc_Option_Ooption(_u17585), tc_Option_Ooption(_u17586), hAPP(c_Option_Omap(_u17584, _u17585), _u17587)), hAPP(c_Option_Omap(_u17586, _u17584), _u17588)) = hAPP(c_Option_Omap(_u17586, _u17585), hAPP(c_Fun_Ocomp(_u17584, _u17585, _u17586, _u17587), _u17588))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Option_Omap_Oid ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Option_Omap_Oid-1, axiom, ( ( hAPP(c_Option_Omap(_u17589, _u17589), c_Fun_Oid(_u17589)) = c_Fun_Oid(tc_Option_Ooption(_u17589))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Option_Omap_Oidentity ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Option_Omap_Oidentity-1, axiom, ( ( hAPP(c_Option_Omap(_u17590, _u17590), c_COMBI(_u17590)) = c_Fun_Oid(tc_Option_Ooption(_u17590))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17591)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17591), tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_dom__option__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_dom__option__map-1, axiom, ( ( c_Map_Odom(_u17592, _u17593, hAPP(hAPP(c_COMBS(_u17592, tc_Option_Ooption(_u17594), tc_Option_Ooption(_u17593)), hAPP(hAPP(c_COMBB(tc_fun(_u17594, _u17593), tc_fun(tc_Option_Ooption(_u17594), tc_Option_Ooption(_u17593)), _u17592), c_Option_Omap(_u17594, _u17593)), _u17595)), _u17596)) = c_Map_Odom(_u17592, _u17594, _u17596)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__eq__Some ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__eq__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17604, _u17606), _u17608), _u17610) != hAPP(c_Option_Ooption_OSome(_u17606), _u17612)) | ( _u17610 = hAPP(c_Option_Ooption_OSome(_u17604), skolem450(_u17612, _u17610, _u17608, _u17606, _u17604))) )).
% 12.32/12.53 cnf(fact_option__map__eq__Some-2, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17604, _u17606), _u17608), _u17610) != hAPP(c_Option_Ooption_OSome(_u17606), _u17612)) | ( hAPP(_u17608, skolem450(_u17612, _u17610, _u17608, _u17606, _u17604)) = _u17612) )).
% 12.32/12.53 cnf(fact_option__map__eq__Some-3, axiom, ( ( _u17611 != hAPP(c_Option_Ooption_OSome(_u17605), _u17598)) | ( hAPP(_u17609, _u17598) != _u17613) | ( hAPP(hAPP(c_Option_Omap(_u17605, _u17607), _u17609), _u17611) = hAPP(c_Option_Ooption_OSome(_u17607), _u17613)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__Some ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17614, _u17615), _u17616), hAPP(c_Option_Ooption_OSome(_u17614), _u17617)) = hAPP(c_Option_Ooption_OSome(_u17615), hAPP(_u17616, _u17617))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__is__None ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__is__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17622, _u17624), _u17626), _u17628) != c_Option_Ooption_ONone(_u17624)) | ( _u17628 = c_Option_Ooption_ONone(_u17622)) )).
% 12.32/12.53 cnf(fact_option__map__is__None-2, axiom, ( ( _u17629 != c_Option_Ooption_ONone(_u17623)) | ( hAPP(hAPP(c_Option_Omap(_u17623, _u17625), _u17627), _u17629) = c_Option_Ooption_ONone(_u17625)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__None ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17630, _u17631), _u17632), c_Option_Ooption_ONone(_u17630)) = c_Option_Ooption_ONone(_u17631)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__o__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__o__empty-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17633), tc_Option_Ooption(_u17634), _u17635, hAPP(c_Option_Omap(_u17633, _u17634), _u17636)), hAPP(c_COMBK(tc_Option_Ooption(_u17633), _u17635), c_Option_Ooption_ONone(_u17633))), _u17637) = c_Option_Ooption_ONone(_u17634)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_option__map__o__map__upd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_option__map__o__map__upd-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17639), _u17640, hAPP(c_Option_Omap(_u17638, _u17639), _u17641)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17640, tc_Option_Ooption(_u17638)), _u17642), _u17643), hAPP(c_Option_Ooption_OSome(_u17638), _u17644))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17640, tc_Option_Ooption(_u17639)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17639), _u17640, hAPP(c_Option_Omap(_u17638, _u17639), _u17641)), _u17642)), _u17643), hAPP(c_Option_Ooption_OSome(_u17639), hAPP(_u17641, _u17644)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17645, _u17646), _u17647), _u17648) != hAPP(hAPP(c_List_Omap(_u17645, _u17646), _u17647), _u17649)) | ~c_Fun_Oinj__on(_u17645, _u17646, _u17647, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17645, tc_HOL_Obool)), hAPP(c_List_Oset(_u17645), _u17648)), hAPP(c_List_Oset(_u17645), _u17649))) | ( _u17648 = _u17649) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17650, _u17651, _u17652, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17650, tc_HOL_Obool)), hAPP(c_List_Oset(_u17650), _u17653)), hAPP(c_List_Oset(_u17650), _u17654))) | ( hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17653) != hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17654)) | ( _u17653 = _u17654) )).
% 12.32/12.53 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17650, _u17651, _u17652, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17650, tc_HOL_Obool)), hAPP(c_List_Oset(_u17650), _u17653)), hAPP(c_List_Oset(_u17650), _u17654))) | ( _u17653 != _u17654) | ( hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17653) = hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17654)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17655), _u17656), hAPP(c_List_Oset(_u17655), _u17657))) | ( hAPP(hAPP(c_List_Omap(_u17655, _u17658), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17655, _u17658), _u17659), _u17656), _u17660)), _u17657) = hAPP(hAPP(c_List_Omap(_u17655, _u17658), _u17659), _u17657)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17661, _u17662, _u17663, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17661, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17661), tc_fun(_u17661, tc_HOL_Obool), c_List_Oset(_u17661)), _u17664))) | c_Fun_Oinj__on(tc_List_Olist(_u17661), tc_List_Olist(_u17662), hAPP(c_List_Omap(_u17661, _u17662), _u17663), _u17664) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__eq__dom ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__eq__dom-1, axiom, ( ( c_Map_Omap__of(_u17665, _u17666, _u17667) != c_Map_Omap__of(_u17665, _u17666, _u17668)) | ( hAPP(c_Set_Oimage(tc_prod(_u17665, _u17666), _u17665, c_Product__Type_Ofst(_u17665, _u17666)), hAPP(c_List_Oset(tc_prod(_u17665, _u17666)), _u17667)) = hAPP(c_Set_Oimage(tc_prod(_u17665, _u17666), _u17665, c_Product__Type_Ofst(_u17665, _u17666)), hAPP(c_List_Oset(tc_prod(_u17665, _u17666)), _u17668))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__SomeD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17669, _u17670, _u17671), _u17672) != hAPP(c_Option_Ooption_OSome(_u17670), _u17673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17669, _u17670)), hAPP(hAPP(c_Product__Type_OPair(_u17669, _u17670), _u17672), _u17673)), hAPP(c_List_Oset(tc_prod(_u17669, _u17670)), _u17671))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__is__SomeD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__is__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17674, _u17675, _u17676), _u17677) != hAPP(c_Option_Ooption_OSome(_u17675), _u17678)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17674, _u17675)), hAPP(hAPP(c_Product__Type_OPair(_u17674, _u17675), _u17677), _u17678)), hAPP(c_List_Oset(tc_prod(_u17674, _u17675)), _u17676))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_dom__map__of__conv__image__fst ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_dom__map__of__conv__image__fst-1, axiom, ( ( c_Map_Odom(_u17679, _u17680, c_Map_Omap__of(_u17679, _u17680, _u17681)) = hAPP(c_Set_Oimage(tc_prod(_u17679, _u17680), _u17679, c_Product__Type_Ofst(_u17679, _u17680)), hAPP(c_List_Oset(tc_prod(_u17679, _u17680)), _u17681))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__eq__None__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__eq__None__iff-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17686, _u17688, _u17690), _u17692) != c_Option_Ooption_ONone(_u17688)) | ~hBOOL(hAPP(hAPP(c_member(_u17686), _u17692), hAPP(c_Set_Oimage(tc_prod(_u17686, _u17688), _u17686, c_Product__Type_Ofst(_u17686, _u17688)), hAPP(c_List_Oset(tc_prod(_u17686, _u17688)), _u17690)))) )).
% 12.32/12.53 cnf(fact_map__of__eq__None__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17687), _u17693), hAPP(c_Set_Oimage(tc_prod(_u17687, _u17689), _u17687, c_Product__Type_Ofst(_u17687, _u17689)), hAPP(c_List_Oset(tc_prod(_u17687, _u17689)), _u17691)))) | ( hAPP(c_Map_Omap__of(_u17687, _u17689, _u17691), _u17693) = c_Option_Ooption_ONone(_u17689)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Option_Omap__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Option_Omap__def-1, axiom, ( ( hAPP(c_Option_Omap(_u17694, _u17695), _u17696) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17695), _u17694, c_Option_Ooption_ONone(_u17695), hAPP(hAPP(c_COMBB(_u17695, tc_Option_Ooption(_u17695), _u17694), c_Option_Ooption_OSome(_u17695)), _u17696))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_WT__bodies__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_WT__bodies__def-1, axiom, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17697), 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)), _u17697)) )).
% 12.32/12.53 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))) )).
% 12.32/12.53 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)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__map__restrict ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__map__restrict-1, axiom, ( ( c_Map_Omap__of(_u17699, _u17700, hAPP(hAPP(c_List_Omap(_u17699, tc_prod(_u17699, _u17700)), hAPP(hAPP(c_COMBS(_u17699, _u17700, tc_prod(_u17699, _u17700)), c_Product__Type_OPair(_u17699, _u17700)), _u17701)), _u17702)) = c_Map_Orestrict__map(_u17699, _u17700, hAPP(c_Fun_Ocomp(_u17700, tc_Option_Ooption(_u17700), _u17699, c_Option_Ooption_OSome(_u17700)), _u17701), hAPP(c_List_Oset(_u17699), _u17702))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_ran__distinct ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_ran__distinct-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17703), hAPP(hAPP(c_List_Omap(tc_prod(_u17703, _u17704), _u17703), c_Product__Type_Ofst(_u17703, _u17704)), _u17705))) | ( c_Map_Oran(_u17703, _u17704, c_Map_Omap__of(_u17703, _u17704, _u17705)) = hAPP(c_Set_Oimage(tc_prod(_u17703, _u17704), _u17704, c_Product__Type_Osnd(_u17703, _u17704)), hAPP(c_List_Oset(tc_prod(_u17703, _u17704)), _u17705))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__map__of__compr ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__map__of__compr-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17706), hAPP(hAPP(c_List_Omap(tc_prod(_u17706, _u17707), _u17706), c_Product__Type_Ofst(_u17706, _u17707)), _u17708))) | ( hAPP(c_List_Oset(tc_prod(_u17706, _u17707)), _u17708) = hAPP(c_Set_OCollect(tc_prod(_u17706, _u17707)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17706, _u17707, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17706, tc_fun(_u17707, tc_Option_Ooption(_u17707)), tc_fun(_u17707, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17707), tc_HOL_Obool), tc_fun(tc_fun(_u17707, tc_Option_Ooption(_u17707)), tc_fun(_u17707, tc_HOL_Obool)), _u17706), c_COMBB(tc_Option_Ooption(_u17707), tc_HOL_Obool, _u17707)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17707), tc_fun(tc_Option_Ooption(_u17707), tc_HOL_Obool), _u17706), c_fequal), c_Map_Omap__of(_u17706, _u17707, _u17708)))), c_Option_Ooption_OSome(_u17707))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17713), hAPP(hAPP(c_List_Omap(_u17715, _u17713), _u17717), _u17719))) | hBOOL(hAPP(c_List_Odistinct(_u17715), _u17719)) )).
% 12.32/12.53 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17713), hAPP(hAPP(c_List_Omap(_u17715, _u17713), _u17717), _u17719))) | c_Fun_Oinj__on(_u17715, _u17713, _u17717, hAPP(c_List_Oset(_u17715), _u17719)) )).
% 12.32/12.53 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17720)) | ~c_Fun_Oinj__on(_u17716, _u17714, _u17718, hAPP(c_List_Oset(_u17716), _u17720)) | hBOOL(hAPP(c_List_Odistinct(_u17714), hAPP(hAPP(c_List_Omap(_u17716, _u17714), _u17718), _u17720))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__inject__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__inject__set-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17723))) | ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17724))) | ( c_Map_Omap__of(_u17721, _u17722, _u17723) != c_Map_Omap__of(_u17721, _u17722, _u17724)) | ( hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17723) = hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17724)) )).
% 12.32/12.53 cnf(fact_map__of__inject__set-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17723))) | ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17724))) | ( hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17723) != hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17724)) | ( c_Map_Omap__of(_u17721, _u17722, _u17723) = c_Map_Omap__of(_u17721, _u17722, _u17724)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__is__SomeI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__is__SomeI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17725), hAPP(hAPP(c_List_Omap(tc_prod(_u17725, _u17726), _u17725), c_Product__Type_Ofst(_u17725, _u17726)), _u17727))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17725, _u17726)), hAPP(hAPP(c_Product__Type_OPair(_u17725, _u17726), _u17728), _u17729)), hAPP(c_List_Oset(tc_prod(_u17725, _u17726)), _u17727))) | ( hAPP(c_Map_Omap__of(_u17725, _u17726, _u17727), _u17728) = hAPP(c_Option_Ooption_OSome(_u17726), _u17729)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__eq__Some__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__eq__Some__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(tc_prod(_u17730, _u17731), _u17730), c_Product__Type_Ofst(_u17730, _u17731)), _u17732))) | ( hAPP(c_Map_Omap__of(_u17730, _u17731, _u17732), _u17733) != hAPP(c_Option_Ooption_OSome(_u17731), _u17734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17730, _u17731)), hAPP(hAPP(c_Product__Type_OPair(_u17730, _u17731), _u17733), _u17734)), hAPP(c_List_Oset(tc_prod(_u17730, _u17731)), _u17732))) )).
% 12.32/12.53 cnf(fact_map__of__eq__Some__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(tc_prod(_u17730, _u17731), _u17730), c_Product__Type_Ofst(_u17730, _u17731)), _u17732))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17730, _u17731)), hAPP(hAPP(c_Product__Type_OPair(_u17730, _u17731), _u17733), _u17734)), hAPP(c_List_Oset(tc_prod(_u17730, _u17731)), _u17732))) | ( hAPP(c_Map_Omap__of(_u17730, _u17731, _u17732), _u17733) = hAPP(c_Option_Ooption_OSome(_u17731), _u17734)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Some__eq__map__of__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Some__eq__map__of__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(hAPP(c_List_Omap(tc_prod(_u17735, _u17736), _u17735), c_Product__Type_Ofst(_u17735, _u17736)), _u17737))) | ( hAPP(c_Option_Ooption_OSome(_u17736), _u17738) != hAPP(c_Map_Omap__of(_u17735, _u17736, _u17737), _u17739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17735, _u17736)), hAPP(hAPP(c_Product__Type_OPair(_u17735, _u17736), _u17739), _u17738)), hAPP(c_List_Oset(tc_prod(_u17735, _u17736)), _u17737))) )).
% 12.32/12.53 cnf(fact_Some__eq__map__of__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(hAPP(c_List_Omap(tc_prod(_u17735, _u17736), _u17735), c_Product__Type_Ofst(_u17735, _u17736)), _u17737))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17735, _u17736)), hAPP(hAPP(c_Product__Type_OPair(_u17735, _u17736), _u17739), _u17738)), hAPP(c_List_Oset(tc_prod(_u17735, _u17736)), _u17737))) | ( hAPP(c_Option_Ooption_OSome(_u17736), _u17738) = hAPP(c_Map_Omap__of(_u17735, _u17736, _u17737), _u17739)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17740, _u17741) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17740), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17741), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_weak__map__of__SomeI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_weak__map__of__SomeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17743, _u17744)), hAPP(hAPP(c_Product__Type_OPair(_u17743, _u17744), _u17745), _u17746)), hAPP(c_List_Oset(tc_prod(_u17743, _u17744)), _u17747))) | ( hAPP(c_Map_Omap__of(_u17743, _u17744, _u17747), _u17745) = hAPP(c_Option_Ooption_OSome(_u17744), skolem452(_u17747, _u17746, _u17745, _u17744, _u17743))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17748, _u17749)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17748, _u17749)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17750, _u17751) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17750, _u17751))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17752, _u17753))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17754), _u17755) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17755), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17756, _u17757) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17756), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17757))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u17759) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17759)) )).
% 12.32/12.53 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17760)) | c_List_Onat__list(_u17760) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17761), _u17762)) | ( hAPP(c_List_Oset(_u17761), c_List_Oremove1(_u17761, _u17763, _u17762)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17761, tc_HOL_Obool)), hAPP(c_List_Oset(_u17761), _u17762)), hAPP(hAPP(c_Set_Oinsert(_u17761), _u17763), c_Orderings_Obot__class_Obot(tc_fun(_u17761, tc_HOL_Obool))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17764), _u17765), hAPP(c_List_Oset(_u17764), _u17766))) | ( c_List_Oremove1(_u17764, _u17765, _u17766) = _u17766) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17767), _u17768), hAPP(c_List_Oset(_u17767), _u17769))) | ~hBOOL(hAPP(hAPP(c_member(_u17767), _u17768), hAPP(c_List_Oset(_u17767), c_List_Oremove1(_u17767, _u17770, _u17769)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__remove1-1, axiom, ( ( _u17771 = _u17772) | ~hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), c_List_Oremove1(_u17773, _u17772, _u17774)))) | hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), _u17774))) )).
% 12.32/12.53 cnf(fact_in__set__remove1-2, axiom, ( ( _u17771 = _u17772) | ~hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), _u17774))) | hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), c_List_Oremove1(_u17773, _u17772, _u17774)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17775, tc_HOL_Obool)), hAPP(c_List_Oset(_u17775), c_List_Oremove1(_u17775, _u17776, _u17777))), hAPP(c_List_Oset(_u17775), _u17777))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u17778, _u17779, c_List_Oremove1(_u17778, _u17780, _u17781)) = c_List_Oremove1(_u17778, _u17780, c_List_Oremove1(_u17778, _u17779, _u17781))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17782), _u17783)) | hBOOL(hAPP(c_List_Odistinct(_u17782), c_List_Oremove1(_u17782, _u17784, _u17783))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u17785) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17785), _u17786)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17785, tc_HOL_Obool)), _u17786), hAPP(hAPP(c_Set_Oinsert(_u17785), _u17787), c_Orderings_Obot__class_Obot(tc_fun(_u17785, tc_HOL_Obool))))) = c_List_Oremove1(_u17785, _u17787, c_List_Olinorder__class_Osorted__list__of__set(_u17785, _u17786))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__zip__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__zip__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17795), hAPP(c_List_Oset(_u17793), _u17797))) | ( hAPP(c_Map_Omap__of(_u17793, _u17799, hAPP(hAPP(c_List_Ozip(_u17793, _u17799), _u17797), hAPP(hAPP(c_List_Omap(_u17793, _u17799), _u17801), _u17797))), _u17795) = hAPP(c_Option_Ooption_OSome(_u17799), hAPP(_u17801, _u17795))) )).
% 12.32/12.53 cnf(fact_map__of__zip__map-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17794), _u17796), hAPP(c_List_Oset(_u17794), _u17798))) | ( hAPP(c_Map_Omap__of(_u17794, _u17800, hAPP(hAPP(c_List_Ozip(_u17794, _u17800), _u17798), hAPP(hAPP(c_List_Omap(_u17794, _u17800), _u17802), _u17798))), _u17796) = c_Option_Ooption_ONone(_u17800)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17803), _u17804)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17803, _u17805)), hAPP(hAPP(c_List_Ozip(_u17803, _u17805), _u17804), _u17806))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17807), _u17808)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17809, _u17807)), hAPP(hAPP(c_List_Ozip(_u17809, _u17807), _u17810), _u17808))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17811, _u17811), _u17812), _u17812) = hAPP(hAPP(c_List_Omap(_u17811, tc_prod(_u17811, _u17811)), hAPP(hAPP(c_COMBS(_u17811, _u17811, tc_prod(_u17811, _u17811)), c_Product__Type_OPair(_u17811, _u17811)), c_COMBI(_u17811))), _u17812)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17813, _u17814), hAPP(hAPP(c_List_Omap(tc_prod(_u17813, _u17814), _u17813), c_Product__Type_Ofst(_u17813, _u17814)), _u17815)), hAPP(hAPP(c_List_Omap(tc_prod(_u17813, _u17814), _u17814), c_Product__Type_Osnd(_u17813, _u17814)), _u17815)) = _u17815) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17816, _u17817), _u17818), _u17819), hAPP(hAPP(c_List_Ozip(_u17816, _u17817), _u17820), hAPP(hAPP(c_List_Omap(_u17821, _u17817), _u17822), _u17823))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17816, _u17821), _u17818), hAPP(c_Product__Type_Oprod_Oprod__case(_u17816, _u17821, _u17818), hAPP(hAPP(c_COMBB(tc_fun(_u17821, tc_prod(_u17816, _u17817)), tc_fun(_u17821, _u17818), _u17816), hAPP(c_COMBB(tc_prod(_u17816, _u17817), _u17818, _u17821), _u17819)), hAPP(hAPP(c_COMBC(_u17816, tc_fun(_u17821, _u17817), tc_fun(_u17821, tc_prod(_u17816, _u17817))), hAPP(hAPP(c_COMBB(tc_fun(_u17817, tc_prod(_u17816, _u17817)), tc_fun(tc_fun(_u17821, _u17817), tc_fun(_u17821, tc_prod(_u17816, _u17817))), _u17816), c_COMBB(_u17817, tc_prod(_u17816, _u17817), _u17821)), c_Product__Type_OPair(_u17816, _u17817))), _u17822)))), hAPP(hAPP(c_List_Ozip(_u17816, _u17821), _u17820), _u17823))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17826), _u17827), hAPP(hAPP(c_List_Ozip(_u17824, _u17825), hAPP(hAPP(c_List_Omap(_u17828, _u17824), _u17829), _u17830)), _u17831)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17828, _u17825), _u17826), hAPP(c_Product__Type_Oprod_Oprod__case(_u17828, _u17825, _u17826), hAPP(hAPP(c_COMBB(tc_fun(_u17825, tc_prod(_u17824, _u17825)), tc_fun(_u17825, _u17826), _u17828), hAPP(c_COMBB(tc_prod(_u17824, _u17825), _u17826, _u17825), _u17827)), hAPP(hAPP(c_COMBB(_u17824, tc_fun(_u17825, tc_prod(_u17824, _u17825)), _u17828), c_Product__Type_OPair(_u17824, _u17825)), _u17829)))), hAPP(hAPP(c_List_Ozip(_u17828, _u17825), _u17830), _u17831))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_Product__Type_OPair(_u17832, _u17833), _u17834), _u17835)), hAPP(c_List_Oset(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_List_Ozip(_u17832, _u17833), _u17836), _u17837)))) | hBOOL(hAPP(hAPP(c_member(_u17832), _u17834), hAPP(c_List_Oset(_u17832), _u17836))) )).
% 12.32/12.53 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_Product__Type_OPair(_u17832, _u17833), _u17834), _u17835)), hAPP(c_List_Oset(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_List_Ozip(_u17832, _u17833), _u17836), _u17837)))) | hBOOL(hAPP(hAPP(c_member(_u17833), _u17835), hAPP(c_List_Oset(_u17833), _u17837))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17839), _u17841), hAPP(c_List_Oset(_u17839), _u17843))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17840), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_List_Ozip(_u17838, _u17839), _u17842), _u17843)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17844, _u17845)), hAPP(hAPP(c_Product__Type_OPair(_u17844, _u17845), _u17846), _u17847)), hAPP(c_List_Oset(tc_prod(_u17844, _u17845)), hAPP(hAPP(c_List_Ozip(_u17844, _u17845), _u17848), _u17849)))) | hBOOL(hAPP(hAPP(c_member(_u17844), _u17846), hAPP(c_List_Oset(_u17844), _u17848))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_Product__Type_OPair(_u17854, _u17854), _u17856), _u17858)), hAPP(c_List_Oset(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_List_Ozip(_u17854, _u17854), _u17860), _u17860)))) | hBOOL(hAPP(hAPP(c_member(_u17854), _u17856), hAPP(c_List_Oset(_u17854), _u17860))) )).
% 12.32/12.53 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_Product__Type_OPair(_u17854, _u17854), _u17856), _u17858)), hAPP(c_List_Oset(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_List_Ozip(_u17854, _u17854), _u17860), _u17860)))) | ( _u17856 = _u17858) )).
% 12.32/12.53 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17855), _u17857), hAPP(c_List_Oset(_u17855), _u17861))) | ( _u17857 != _u17859) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17855, _u17855)), hAPP(hAPP(c_Product__Type_OPair(_u17855, _u17855), _u17857), _u17859)), hAPP(c_List_Oset(tc_prod(_u17855, _u17855)), hAPP(hAPP(c_List_Ozip(_u17855, _u17855), _u17861), _u17861)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17862, _u17863), _u17864), hAPP(hAPP(c_List_Omap(_u17865, _u17863), _u17866), _u17867)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17862, _u17865), tc_prod(_u17862, _u17863)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17862, _u17865, tc_prod(_u17862, _u17863)), hAPP(hAPP(c_COMBC(_u17862, tc_fun(_u17865, _u17863), tc_fun(_u17865, tc_prod(_u17862, _u17863))), hAPP(hAPP(c_COMBB(tc_fun(_u17863, tc_prod(_u17862, _u17863)), tc_fun(tc_fun(_u17865, _u17863), tc_fun(_u17865, tc_prod(_u17862, _u17863))), _u17862), c_COMBB(_u17863, tc_prod(_u17862, _u17863), _u17865)), c_Product__Type_OPair(_u17862, _u17863))), _u17866))), hAPP(hAPP(c_List_Ozip(_u17862, _u17865), _u17864), _u17867))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17868, _u17869), hAPP(hAPP(c_List_Omap(_u17870, _u17868), _u17871), _u17872)), _u17873) = hAPP(hAPP(c_List_Omap(tc_prod(_u17870, _u17869), tc_prod(_u17868, _u17869)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17870, _u17869, tc_prod(_u17868, _u17869)), hAPP(hAPP(c_COMBB(_u17868, tc_fun(_u17869, tc_prod(_u17868, _u17869)), _u17870), c_Product__Type_OPair(_u17868, _u17869)), _u17871))), hAPP(hAPP(c_List_Ozip(_u17870, _u17869), _u17872), _u17873))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17874, _u17875), hAPP(hAPP(c_List_Omap(_u17876, _u17874), _u17877), _u17878)), hAPP(hAPP(c_List_Omap(_u17879, _u17875), _u17880), _u17881)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17876, _u17879), tc_prod(_u17874, _u17875)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17876, _u17879, tc_prod(_u17874, _u17875)), hAPP(hAPP(c_COMBC(_u17876, tc_fun(_u17879, _u17875), tc_fun(_u17879, tc_prod(_u17874, _u17875))), hAPP(hAPP(c_COMBB(tc_fun(_u17875, tc_prod(_u17874, _u17875)), tc_fun(tc_fun(_u17879, _u17875), tc_fun(_u17879, tc_prod(_u17874, _u17875))), _u17876), c_COMBB(_u17875, tc_prod(_u17874, _u17875), _u17879)), hAPP(hAPP(c_COMBB(_u17874, tc_fun(_u17875, tc_prod(_u17874, _u17875)), _u17876), c_Product__Type_OPair(_u17874, _u17875)), _u17877))), _u17880))), hAPP(hAPP(c_List_Ozip(_u17876, _u17879), _u17878), _u17881))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17882), _u17883)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17882, hAPP(hAPP(c_Set_Oinsert(_u17882), _u17884), _u17883)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17882, _u17882, c_COMBI(_u17882)), _u17884), c_List_Olinorder__class_Osorted__list__of__set(_u17882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17882, tc_HOL_Obool)), _u17883), hAPP(hAPP(c_Set_Oinsert(_u17882), _u17884), c_Orderings_Obot__class_Obot(tc_fun(_u17882, tc_HOL_Obool))))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__zip__upd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__zip__upd-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17885)), _u17886) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17887)), _u17888)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17885)), _u17889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17887)), _u17888)) | hBOOL(hAPP(hAPP(c_member(_u17887), _u17890), hAPP(c_List_Oset(_u17887), _u17888))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17887, tc_Option_Ooption(_u17885)), c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17886))), _u17890), hAPP(c_Option_Ooption_OSome(_u17885), _u17891)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17887, tc_Option_Ooption(_u17885)), c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17889))), _u17890), hAPP(c_Option_Ooption_OSome(_u17885), _u17892))) | ( c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17886)) = c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17889))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17893, _u17894))), hAPP(hAPP(c_List_Ozip(_u17893, _u17894), _u17895), _u17896)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17893)), _u17895)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17894)), _u17896))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17897) | ( hAPP(c_List_Oset(_u17898), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17898, _u17897, _u17899), _u17900), _u17901)) = hAPP(hAPP(c_Set_Oinsert(_u17898), _u17900), hAPP(c_List_Oset(_u17898), _u17901))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17902) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17903, _u17902, _u17904), _u17905), _u17906)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), _u17906))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u17908 != _u17909) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17907)), _u17908) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17907)), _u17909)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17910) | ( hAPP(_u17911, _u17912) = hAPP(_u17911, _u17913)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17913), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17912), _u17915)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17912), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17913), _u17915))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17916) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17917), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17918), _u17919)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17918), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17917), _u17919))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17920) | c_Finite__Set_Ofun__left__comm(_u17920, tc_List_Olist(_u17920), c_List_Olinorder__class_Oinsort__key(_u17920, _u17920, c_COMBI(_u17920))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17921), tc_List_Olist(_u17921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17921), tc_List_Olist(_u17921)), _u17922), _u17923)), hAPP(c_List_Olexn(_u17921, _u17924), _u17925))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17921)), _u17922) = _u17925) )).
% 12.32/12.53 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17921), tc_List_Olist(_u17921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17921), tc_List_Olist(_u17921)), _u17922), _u17923)), hAPP(c_List_Olexn(_u17921, _u17924), _u17925))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17921)), _u17923) = _u17925) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), hAPP(hAPP(c_List_Omap(_u17927, _u17926), _u17928), _u17929)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17929)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17930, _u17931), _u17932), _u17933) != hAPP(hAPP(c_List_Omap(_u17934, _u17931), _u17935), _u17936)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17930)), _u17933) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17934)), _u17936)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17937) | ( c_List_Oremove1(_u17937, _u17938, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17937, _u17937, c_COMBI(_u17937)), _u17938), _u17939)) = _u17939) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_card__length ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u17940), hAPP(c_List_Oset(_u17940), _u17941))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17940)), _u17941))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17942), _u17943)) | ( hAPP(c_Finite__Set_Ocard(_u17942), hAPP(c_List_Oset(_u17942), _u17943)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17942)), _u17943)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u17944), hAPP(c_List_Oset(_u17944), _u17945)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), _u17945)) | hBOOL(hAPP(c_List_Odistinct(_u17944), _u17945)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__zip__inject ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__zip__inject-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17947) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17948)), _u17949)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17950) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17948)), _u17949)) | ~hBOOL(hAPP(c_List_Odistinct(_u17948), _u17949)) | ( c_Map_Omap__of(_u17948, _u17946, hAPP(hAPP(c_List_Ozip(_u17948, _u17946), _u17949), _u17947)) != c_Map_Omap__of(_u17948, _u17946, hAPP(hAPP(c_List_Ozip(_u17948, _u17946), _u17949), _u17950))) | ( _u17947 = _u17950) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17952) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17953)), _u17954)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17951, _u17953), _u17951), c_Product__Type_Ofst(_u17951, _u17953)), hAPP(hAPP(c_List_Ozip(_u17951, _u17953), _u17952), _u17954)) = _u17952) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17955)), _u17956) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17957)), _u17958)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17955, _u17957), _u17957), c_Product__Type_Osnd(_u17955, _u17957)), hAPP(hAPP(c_List_Ozip(_u17955, _u17957), _u17956), _u17958)) = _u17958) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17959) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) | ~hBOOL(hAPP(hAPP(c_member(_u17960), _u17962), hAPP(c_List_Oset(_u17960), _u17963))) )).
% 12.32/12.53 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17959) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) | hBOOL(hAPP(c_List_Odistinct(_u17960), _u17963)) )).
% 12.32/12.53 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u17959) | hBOOL(hAPP(hAPP(c_member(_u17960), _u17962), hAPP(c_List_Oset(_u17960), _u17963))) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), _u17963)) | hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17964), _u17965), hAPP(c_List_Oset(_u17964), _u17966))) | 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(_u17964)), _u17966))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) != _u17971) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17967), c_Product__Type_Ofst(_u17967, _u17969)), _u17971) = _u17968) )).
% 12.32/12.53 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) != _u17971) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17969), c_Product__Type_Osnd(_u17967, _u17969)), _u17971) = _u17970) )).
% 12.32/12.53 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17967), c_Product__Type_Ofst(_u17967, _u17969)), _u17971) != _u17968) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17969), c_Product__Type_Osnd(_u17967, _u17969)), _u17971) != _u17970) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) = _u17971) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u17972, _u17973) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17972), tc_List_Olist(_u17972), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBS(tc_List_Olist(_u17972), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17972))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17972)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBS(tc_List_Olist(_u17972), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17972))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17972)), c_member(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))))), c_Product__Type_OPair(tc_List_Olist(_u17972), tc_List_Olist(_u17972))))), c_List_Olex(_u17972, _u17973))))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u17974, _u17975) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974)), tc_List_Olist(_u17974)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u17974), c_Wellfounded_Oless__than, c_List_Olex(_u17974, _u17975))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17974), tc_List_Olist(_u17974), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u17974), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974))), tc_List_Olist(_u17974)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u17974))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17974)))), c_COMBI(tc_List_Olist(_u17974))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17976), _u17977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17976)), hAPP(c_Set_OCollect(tc_List_Olist(_u17976)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17976), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17976)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_fun(_u17976, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17976, tc_HOL_Obool), tc_fun(tc_fun(_u17976, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17976)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17976, tc_HOL_Obool))), c_List_Oset(_u17976))), _u17977))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17976)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17976)))), _u17978))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u17984 != _u17986) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17984) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17986)) )).
% 12.32/12.53 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u17984 != _u17986) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17988, _u17988)), _u17979), hAPP(c_List_Oset(tc_prod(_u17988, _u17988)), hAPP(hAPP(c_List_Ozip(_u17988, _u17988), _u17984), _u17986)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17988, _u17988, tc_HOL_Obool), c_fequal), _u17979)) )).
% 12.32/12.53 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u17985 = _u17987) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17985) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17987)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17989, _u17989)), skolem453(_u17989, _u17987, _u17985)), hAPP(c_List_Oset(tc_prod(_u17989, _u17989)), hAPP(hAPP(c_List_Ozip(_u17989, _u17989), _u17985), _u17987)))) )).
% 12.32/12.53 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u17985 = _u17987) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17985) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17987)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17989, _u17989, tc_HOL_Obool), c_fequal), skolem453(_u17989, _u17987, _u17985))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__zip__is__None ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__zip__is__None-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), _u17993)) | ( hAPP(c_Map_Omap__of(_u17990, _u17992, hAPP(hAPP(c_List_Ozip(_u17990, _u17992), _u17991), _u17993)), _u17994) != c_Option_Ooption_ONone(_u17992)) | ~hBOOL(hAPP(hAPP(c_member(_u17990), _u17994), hAPP(c_List_Oset(_u17990), _u17991))) )).
% 12.32/12.53 cnf(fact_map__of__zip__is__None-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), _u17993)) | hBOOL(hAPP(hAPP(c_member(_u17990), _u17994), hAPP(c_List_Oset(_u17990), _u17991))) | ( hAPP(c_Map_Omap__of(_u17990, _u17992, hAPP(hAPP(c_List_Ozip(_u17990, _u17992), _u17991), _u17993)), _u17994) = c_Option_Ooption_ONone(_u17992)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__zip__is__Some ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__zip__is__Some-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17998) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17999)), _u18000)) | ~hBOOL(hAPP(hAPP(c_member(_u17997), _u18001), hAPP(c_List_Oset(_u17997), _u17998))) | ( hAPP(c_Map_Omap__of(_u17997, _u17999, hAPP(hAPP(c_List_Ozip(_u17997, _u17999), _u17998), _u18000)), _u18001) = hAPP(c_Option_Ooption_OSome(_u17999), skolem454(_u18001, _u18000, _u17999, _u17998, _u17997))) )).
% 12.32/12.53 cnf(fact_map__of__zip__is__Some-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17998) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17999)), _u18000)) | ( hAPP(c_Map_Omap__of(_u17997, _u17999, hAPP(hAPP(c_List_Ozip(_u17997, _u17999), _u17998), _u18000)), _u18001) != hAPP(c_Option_Ooption_OSome(_u17999), _u17996)) | hBOOL(hAPP(hAPP(c_member(_u17997), _u18001), hAPP(c_List_Oset(_u17997), _u17998))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18005), _u18007), hAPP(c_List_Oset(_u18005), _u18009))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), c_List_Oremove1(_u18005, _u18007, _u18009)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18009)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.53 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18006), _u18008), hAPP(c_List_Oset(_u18006), _u18010))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18006)), c_List_Oremove1(_u18006, _u18008, _u18010)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18006)), _u18010)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_dom__map__of__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_dom__map__of__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18011)), _u18012) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18013)), _u18014)) | ~hBOOL(hAPP(c_List_Odistinct(_u18011), _u18012)) | ( c_Map_Odom(_u18011, _u18013, c_Map_Omap__of(_u18011, _u18013, hAPP(hAPP(c_List_Ozip(_u18011, _u18013), _u18012), _u18014))) = hAPP(c_List_Oset(_u18011), _u18012)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18015), _u18016)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18015)), hAPP(c_Set_OCollect(tc_List_Olist(_u18015)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18015), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18015)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18015), tc_fun(_u18015, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18015, tc_HOL_Obool), tc_fun(tc_fun(_u18015, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18015)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18015, tc_HOL_Obool))), c_List_Oset(_u18015))), _u18016))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18015), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18015)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18015)))), _u18017))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18020), _u18022)) | ( c_Nitpick_Ocard_H(_u18020, _u18022) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), c_Hilbert__Choice_OEps(tc_List_Olist(_u18020), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18020), tc_HOL_Obool, tc_HOL_Obool), hAPP(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_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_HOL_Obool), tc_fun(tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18020)), c_fequal), c_List_Oset(_u18020))), _u18022))), c_List_Odistinct(_u18020))))) )).
% 12.32/12.53 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18021), _u18023)) | ( c_Nitpick_Ocard_H(_u18021, _u18023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18030), tc_List_Olist(_u18030))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18030), tc_List_Olist(_u18030)), _u18032), _u18034)), c_List_Olistrel(_u18030, _u18036))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18032) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18034)) )).
% 12.32/12.53 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18030), tc_List_Olist(_u18030))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18030), tc_List_Olist(_u18030)), _u18032), _u18034)), c_List_Olistrel(_u18030, _u18036))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18030, _u18030)), _u18024), hAPP(c_List_Oset(tc_prod(_u18030, _u18030)), hAPP(hAPP(c_List_Ozip(_u18030, _u18030), _u18032), _u18034)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18030, _u18030, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18030, tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_fun(_u18030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18030, tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_fun(_u18030, tc_HOL_Obool)), _u18030), c_COMBC(_u18030, tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18030, tc_prod(_u18030, _u18030)), tc_fun(_u18030, tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), _u18030), hAPP(c_COMBB(tc_prod(_u18030, _u18030), tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool), _u18030), c_member(tc_prod(_u18030, _u18030)))), c_Product__Type_OPair(_u18030, _u18030)))), _u18036)), _u18024)) )).
% 12.32/12.53 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18031), tc_List_Olist(_u18031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18031), tc_List_Olist(_u18031)), _u18033), _u18035)), c_List_Olistrel(_u18031, _u18037))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18033) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18035)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18031, _u18031)), skolem455(_u18037, _u18035, _u18033, _u18031)), hAPP(c_List_Oset(tc_prod(_u18031, _u18031)), hAPP(hAPP(c_List_Ozip(_u18031, _u18031), _u18033), _u18035)))) )).
% 12.32/12.53 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18031), tc_List_Olist(_u18031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18031), tc_List_Olist(_u18031)), _u18033), _u18035)), c_List_Olistrel(_u18031, _u18037))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18033) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18035)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18031, _u18031, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18031, tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_fun(_u18031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18031, tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_fun(_u18031, tc_HOL_Obool)), _u18031), c_COMBC(_u18031, tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18031, tc_prod(_u18031, _u18031)), tc_fun(_u18031, tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), _u18031), hAPP(c_COMBB(tc_prod(_u18031, _u18031), tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool), _u18031), c_member(tc_prod(_u18031, _u18031)))), c_Product__Type_OPair(_u18031, _u18031)))), _u18037)), skolem455(_u18037, _u18035, _u18033, _u18031))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18038), tc_List_Olist(_u18038))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18038), tc_List_Olist(_u18038)), _u18039), _u18039)), c_List_Olistrel(_u18038, c_Transitive__Closure_Ortrancl(_u18038, _u18040)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18041), tc_List_Olist(_u18041))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18041), tc_List_Olist(_u18041)), _u18042), _u18043)), c_List_Olistrel(_u18041, _u18044))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18041)), _u18042) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18041)), _u18043)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18046), _u18047)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18047), _u18049)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18046), _u18049)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18050, _u18050), tc_HOL_Obool)), _u18051), _u18052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18050), tc_List_Olist(_u18050)), tc_HOL_Obool)), c_List_Olistrel(_u18050, _u18051)), c_List_Olistrel(_u18050, _u18052))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u18057, hAPP(hAPP(c_COMBC(_u18057, tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_fun(_u18057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18057, tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_fun(_u18057, tc_HOL_Obool)), _u18057), c_COMBC(_u18057, tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18057, tc_prod(_u18057, _u18057)), tc_fun(_u18057, tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), _u18057), hAPP(c_COMBB(tc_prod(_u18057, _u18057), tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool), _u18057), c_member(tc_prod(_u18057, _u18057)))), c_Product__Type_OPair(_u18057, _u18057)))), _u18059), _u18061, _u18063) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18057), tc_List_Olist(_u18057))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18057), tc_List_Olist(_u18057)), _u18061), _u18063)), c_List_Olistrel(_u18057, _u18059))) )).
% 12.32/12.53 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18058), tc_List_Olist(_u18058))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18058), tc_List_Olist(_u18058)), _u18062), _u18064)), c_List_Olistrel(_u18058, _u18060))) | c_List_Olistrelp(_u18058, hAPP(hAPP(c_COMBC(_u18058, tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_fun(_u18058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18058, tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_fun(_u18058, tc_HOL_Obool)), _u18058), c_COMBC(_u18058, tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18058, tc_prod(_u18058, _u18058)), tc_fun(_u18058, tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), _u18058), hAPP(c_COMBB(tc_prod(_u18058, _u18058), tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool), _u18058), c_member(tc_prod(_u18058, _u18058)))), c_Product__Type_OPair(_u18058, _u18058)))), _u18060), _u18062, _u18064) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u18065, _u18066), hAPP(c_Nat_OSuc, _u18067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u18065, tc_List_Olist(_u18065)), tc_prod(_u18065, tc_List_Olist(_u18065))), tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_Product__Type_Omap__pair(tc_prod(_u18065, tc_List_Olist(_u18065)), tc_List_Olist(_u18065), tc_prod(_u18065, tc_List_Olist(_u18065)), tc_List_Olist(_u18065), hAPP(c_Product__Type_Oprod_Oprod__case(_u18065, tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_List_Olist_OCons(_u18065)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18065, tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_List_Olist_OCons(_u18065)))), c_Wellfounded_Olex__prod(_u18065, tc_List_Olist(_u18065), _u18066, hAPP(c_List_Olexn(_u18065, _u18066), _u18067)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18065), tc_List_Olist(_u18065), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool)), tc_List_Olist(_u18065)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18065))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18065)))), hAPP(c_Nat_OSuc, _u18067))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18065)))), hAPP(c_Nat_OSuc, _u18067))))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 12.32/12.53 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(_u18068)), _u18069)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18068)), _u18070))) | ( _u18069 != hAPP(hAPP(c_List_Olist_OCons(_u18068), _u18071), _u18070)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(c_List_Oset(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18074), _u18075)))) | ( _u18073 = _u18074) | hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(c_List_Oset(_u18072), _u18075))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18076, _u18077), hAPP(hAPP(c_List_Olist_OCons(_u18076), _u18078), _u18079)), hAPP(hAPP(c_List_Olist_OCons(_u18077), _u18080), _u18081)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18076, _u18077)), hAPP(hAPP(c_Product__Type_OPair(_u18076, _u18077), _u18078), _u18080)), hAPP(hAPP(c_List_Ozip(_u18076, _u18077), _u18079), _u18081))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18082, tc_HOL_Obool)), hAPP(c_List_Oset(_u18082), _u18083)), hAPP(c_List_Oset(_u18082), hAPP(hAPP(c_List_Olist_OCons(_u18082), _u18084), _u18083)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u18085), hAPP(hAPP(c_List_Olist_OCons(_u18085), _u18086), _u18087)) = hAPP(hAPP(c_Set_Oinsert(_u18085), _u18086), hAPP(c_List_Oset(_u18085), _u18087))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18088, _u18089, _u18090, hAPP(hAPP(c_List_Olist_OCons(_u18088), _u18091), _u18092), _u18093) = hAPP(hAPP(_u18090, _u18091), c_List_Ofoldr(_u18088, _u18089, _u18090, _u18092, _u18093))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u18094, _u18095), _u18096)) | ~c_List_Olistrelp(_u18097, _u18094, _u18098, _u18099) | c_List_Olistrelp(_u18097, _u18094, hAPP(hAPP(c_List_Olist_OCons(_u18097), _u18095), _u18098), hAPP(hAPP(c_List_Olist_OCons(_u18097), _u18096), _u18099)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u18106, _u18108, hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18110), _u18112), hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18114), _u18116)) | hBOOL(hAPP(hAPP(_u18108, _u18110), _u18114)) )).
% 12.32/12.53 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u18106, _u18108, hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18110), _u18112), hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18114), _u18116)) | c_List_Olistrelp(_u18106, _u18108, _u18112, _u18116) )).
% 12.32/12.53 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u18109, _u18111), _u18115)) | ~c_List_Olistrelp(_u18107, _u18109, _u18113, _u18117) | c_List_Olistrelp(_u18107, _u18109, hAPP(hAPP(c_List_Olist_OCons(_u18107), _u18111), _u18113), hAPP(hAPP(c_List_Olist_OCons(_u18107), _u18115), _u18117)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18125), _u18127) != hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18129), _u18131)) | ( _u18125 = _u18129) )).
% 12.32/12.53 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18125), _u18127) != hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18129), _u18131)) | ( _u18127 = _u18131) )).
% 12.32/12.53 cnf(fact_list_Oinject-3, axiom, ( ( _u18126 != _u18130) | ( _u18128 != _u18132) | ( hAPP(hAPP(c_List_Olist_OCons(_u18124), _u18126), _u18128) = hAPP(hAPP(c_List_Olist_OCons(_u18124), _u18130), _u18132)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18133), _u18134), _u18135) != _u18135) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_not__Cons__self-1, axiom, ( ( _u18136 != hAPP(hAPP(c_List_Olist_OCons(_u18137), _u18138), _u18136)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18139, _u18140), _u18141), hAPP(hAPP(c_List_Olist_OCons(_u18139), _u18142), _u18143)) = hAPP(hAPP(c_List_Olist_OCons(_u18140), hAPP(_u18141, _u18142)), hAPP(hAPP(c_List_Omap(_u18139, _u18140), _u18141), _u18143))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u18148 != _u18150) | ( c_List_Oremove1(_u18152, _u18148, hAPP(hAPP(c_List_Olist_OCons(_u18152), _u18150), _u18154)) = _u18154) )).
% 12.32/12.53 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u18149 = _u18151) | ( c_List_Oremove1(_u18153, _u18149, hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18151), _u18155)) = hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18151), c_List_Oremove1(_u18153, _u18149, _u18155))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18156), hAPP(_u18157, _u18158)), hAPP(_u18157, _u18159))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161)) = hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161))) )).
% 12.32/12.53 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18156) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18156), hAPP(_u18157, _u18158)), hAPP(_u18157, _u18159))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161)) = hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), _u18161))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18165), hAPP(hAPP(c_List_Olist_OCons(_u18165), _u18167), _u18169))) | ~hBOOL(hAPP(hAPP(c_member(_u18165), _u18167), hAPP(c_List_Oset(_u18165), _u18169))) )).
% 12.32/12.53 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18165), hAPP(hAPP(c_List_Olist_OCons(_u18165), _u18167), _u18169))) | hBOOL(hAPP(c_List_Odistinct(_u18165), _u18169)) )).
% 12.32/12.53 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18166), _u18168), hAPP(c_List_Oset(_u18166), _u18170))) | ~hBOOL(hAPP(c_List_Odistinct(_u18166), _u18170)) | hBOOL(hAPP(c_List_Odistinct(_u18166), hAPP(hAPP(c_List_Olist_OCons(_u18166), _u18168), _u18170))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__Cons__code_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__Cons__code_I2_J-1, axiom, ( ( _u18177 != _u18179) | ( hAPP(c_Map_Omap__of(_u18181, _u18183, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18181, _u18183)), hAPP(hAPP(c_Product__Type_OPair(_u18181, _u18183), _u18177), _u18185)), _u18187)), _u18179) = hAPP(c_Option_Ooption_OSome(_u18183), _u18185)) )).
% 12.32/12.53 cnf(fact_map__of__Cons__code_I2_J-2, axiom, ( ( _u18178 = _u18180) | ( hAPP(c_Map_Omap__of(_u18182, _u18184, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18182, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18182, _u18184), _u18178), _u18186)), _u18188)), _u18180) = hAPP(c_Map_Omap__of(_u18182, _u18184, _u18188), _u18180)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), hAPP(hAPP(c_List_Olist_OCons(_u18189), _u18190), _u18191)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), _u18191)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18192, _u18192)), hAPP(hAPP(c_Product__Type_OPair(_u18192, _u18192), _u18193), _u18194)), _u18195)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18192), tc_List_Olist(_u18192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), _u18196), _u18197)), c_List_Olistrel(_u18192, _u18195))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18192), tc_List_Olist(_u18192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), hAPP(hAPP(c_List_Olist_OCons(_u18192), _u18193), _u18196)), hAPP(hAPP(c_List_Olist_OCons(_u18192), _u18194), _u18197))), c_List_Olistrel(_u18192, _u18195))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of_Osimps_I2_J-1, axiom, ( ( c_Map_Omap__of(_u18198, _u18199, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18198, _u18199)), _u18200), _u18201)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18198, tc_Option_Ooption(_u18199)), c_Map_Omap__of(_u18198, _u18199, _u18201)), hAPP(c_Product__Type_Ofst(_u18198, _u18199), _u18200)), hAPP(c_Option_Ooption_OSome(_u18199), hAPP(c_Product__Type_Osnd(_u18198, _u18199), _u18200)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18208, _u18208)), hAPP(hAPP(c_Product__Type_OPair(_u18208, _u18208), _u18210), _u18214)), _u18218)) | ( _u18210 = _u18214) )).
% 12.32/12.53 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18208, _u18208)), hAPP(hAPP(c_Product__Type_OPair(_u18208, _u18208), _u18210), _u18214)), _u18218)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), _u18212), _u18216)), c_List_Olex(_u18208, _u18218))) )).
% 12.32/12.53 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18212) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18216)) | ( _u18210 = _u18214) )).
% 12.32/12.53 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18212) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18216)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), _u18212), _u18216)), c_List_Olex(_u18208, _u18218))) )).
% 12.32/12.53 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18211), _u18213)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18215), _u18217))), c_List_Olex(_u18209, _u18219))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18209, _u18209)), hAPP(hAPP(c_Product__Type_OPair(_u18209, _u18209), _u18211), _u18215)), _u18219)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18209)), _u18213) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18209)), _u18217)) )).
% 12.32/12.53 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18211), _u18213)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18215), _u18217))), c_List_Olex(_u18209, _u18219))) | ( _u18211 != _u18215) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), _u18213), _u18217)), c_List_Olex(_u18209, _u18219))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18220), tc_List_Olist(_u18220), c_List_Olistrel(_u18220, _u18221)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18220)), hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18220), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18220, hAPP(c_Relation_OImage(_u18220, _u18220, _u18221), hAPP(hAPP(c_Set_Oinsert(_u18220), _u18222), c_Orderings_Obot__class_Obot(tc_fun(_u18220, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18220), tc_List_Olist(_u18220), c_List_Olistrel(_u18220, _u18221)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18220)), _u18223), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18220), tc_HOL_Obool)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u18224, _u18225, _u18226) = hAPP(c_Set_OCollect(tc_List_Olist(_u18224)), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18224)), c_HOL_OEx(_u18224)), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_HOL_Obool), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_HOL_Obool, _u18224), c_HOL_OEx(tc_List_Olist(_u18224)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_fun(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), c_COMBS(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18224, tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), _u18224), c_COMBS(tc_List_Olist(_u18224), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18224), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18224)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224))), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224))), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), _u18224)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_List_Olist(_u18224)), c_COMBB(tc_List_Olist(_u18224), tc_HOL_Obool, tc_List_Olist(_u18224))), c_fequal))), c_List_Olist_OCons(_u18224)))))), hAPP(hAPP(c_COMBC(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), _u18224), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18224))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18224), c_fconj), hAPP(hAPP(c_COMBC(_u18224, tc_fun(_u18224, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18224)), _u18225)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18224))), _u18226))))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | ( _u18232 = hAPP(hAPP(c_List_Olist_OCons(_u18229), skolem456(_u18233, _u18232, _u18231, _u18230, _u18229)), skolem457(_u18233, _u18232, _u18231, _u18230, _u18229))) )).
% 12.32/12.53 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18229, _u18229)), hAPP(hAPP(c_Product__Type_OPair(_u18229, _u18229), _u18230), skolem456(_u18233, _u18232, _u18231, _u18230, _u18229))), _u18233)) )).
% 12.32/12.53 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), _u18231), skolem457(_u18233, _u18232, _u18231, _u18230, _u18229))), c_List_Olistrel(_u18229, _u18233))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | ( _u18237 = hAPP(hAPP(c_List_Olist_OCons(_u18236), skolem458(_u18240, _u18239, _u18238, _u18237, _u18236)), skolem459(_u18240, _u18239, _u18238, _u18237, _u18236))) )).
% 12.32/12.53 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18236, _u18236)), hAPP(hAPP(c_Product__Type_OPair(_u18236, _u18236), skolem458(_u18240, _u18239, _u18238, _u18237, _u18236)), _u18238)), _u18240)) )).
% 12.32/12.53 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), skolem459(_u18240, _u18239, _u18238, _u18237, _u18236)), _u18239)), c_List_Olistrel(_u18236, _u18240))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), c_List_Osublist(_u18241, _u18242, _u18243)) = 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(_u18241)), _u18242)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18243))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18248), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18250), _u18252))) | ( hAPP(c_Random_Opick(_u18250, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18250)), _u18252), _u18254)), _u18248) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18250), _u18252)) )).
% 12.32/12.53 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18249), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18251), _u18253))) | ( hAPP(c_Random_Opick(_u18251, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18251)), _u18253), _u18255)), _u18249) = hAPP(c_Random_Opick(_u18251, _u18255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18249), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18251), _u18253)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18256), _u18257)) | hBOOL(hAPP(c_List_Odistinct(_u18256), c_List_Osublist(_u18256, _u18257, _u18258))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18259), _u18260), hAPP(c_List_Oset(_u18259), c_List_Osublist(_u18259, _u18261, _u18262)))) | hBOOL(hAPP(hAPP(c_member(_u18259), _u18260), hAPP(c_List_Oset(_u18259), _u18261))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18263), _u18264), hAPP(c_List_Oset(_u18263), _u18265))) | ~hBOOL(hAPP(hAPP(c_member(_u18263), _u18264), hAPP(c_List_Oset(_u18263), c_List_Osublist(_u18263, _u18265, _u18266)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18267, tc_HOL_Obool)), hAPP(c_List_Oset(_u18267), c_List_Osublist(_u18267, _u18268, _u18269))), hAPP(c_List_Oset(_u18267), _u18268))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18270, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18270)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18270), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18271)), _u18272)) = c_Random_Oselect__weight(_u18270, _u18272)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18273), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18274), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18274)), _u18275)))) | hBOOL(hAPP(hAPP(c_member(_u18274), hAPP(c_Random_Opick(_u18274, _u18275), _u18273)), hAPP(c_List_Oset(_u18274), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18274), _u18274), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18274)), _u18275)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18276) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18276), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18277), _u18278)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18276), _u18277), hAPP(c_List_Omonoid__add__class_Olistsum(_u18276), _u18278))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u18279) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), hAPP(hAPP(c_COMBS(_u18280, _u18279, _u18279), hAPP(hAPP(c_COMBB(_u18279, tc_fun(_u18279, _u18279), _u18280), c_Groups_Ominus__class_Ominus(_u18279)), _u18281)), _u18282)), _u18283)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18279), hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), _u18281), _u18283))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), _u18282), _u18283)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u18284) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18284), hAPP(hAPP(c_List_Omap(_u18285, _u18284), hAPP(hAPP(c_COMBC(_u18285, _u18284, _u18284), hAPP(hAPP(c_COMBB(_u18284, tc_fun(_u18284, _u18284), _u18285), c_Groups_Otimes__class_Otimes(_u18284)), _u18286)), _u18287)), _u18288)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18284), hAPP(c_List_Omonoid__add__class_Olistsum(_u18284), hAPP(hAPP(c_List_Omap(_u18285, _u18284), _u18286), _u18288))), _u18287)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u18289) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18289), hAPP(hAPP(c_List_Omap(_u18290, _u18289), hAPP(hAPP(c_COMBB(_u18289, _u18289, _u18290), hAPP(c_Groups_Otimes__class_Otimes(_u18289), _u18291)), _u18292)), _u18293)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18289), _u18291), hAPP(c_List_Omonoid__add__class_Olistsum(_u18289), hAPP(hAPP(c_List_Omap(_u18290, _u18289), _u18292), _u18293)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18294) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), hAPP(hAPP(c_COMBS(_u18295, _u18294, _u18294), hAPP(hAPP(c_COMBB(_u18294, tc_fun(_u18294, _u18294), _u18295), c_Groups_Oplus__class_Oplus(_u18294)), _u18296)), _u18297)), _u18298)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18294), hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), _u18296), _u18298))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), _u18297), _u18298)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u18299) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), hAPP(c_COMBK(_u18299, _u18300), c_Groups_Ozero__class_Ozero(_u18299))), _u18301)) = c_Groups_Ozero__class_Ozero(_u18299)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u18302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18302), hAPP(c_Groups_Oabs__class_Oabs(_u18302), hAPP(c_List_Omonoid__add__class_Olistsum(_u18302), _u18303))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18302), hAPP(hAPP(c_List_Omap(_u18302, _u18302), c_Groups_Oabs__class_Oabs(_u18302)), _u18303)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u18304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18304), hAPP(c_List_Omonoid__add__class_Olistsum(_u18304), hAPP(hAPP(c_List_Omap(_u18305, _u18304), _u18306), _u18307))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18304), hAPP(hAPP(c_List_Omap(_u18305, _u18304), hAPP(c_Fun_Ocomp(_u18304, _u18304, _u18305, c_Groups_Ouminus__class_Ouminus(_u18304)), _u18306)), _u18307))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18308) | ~hBOOL(hAPP(c_List_Odistinct(_u18308), _u18309)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18308), _u18309) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18308, _u18308), c_COMBI(_u18308)), hAPP(c_List_Oset(_u18308), _u18309))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u18310, _u18311) = 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(_u18310, 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, _u18310), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18310)), _u18311)))), hAPP(hAPP(c_COMBB(_u18310, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18310, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18310, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18310, _u18311)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18312) | ~hBOOL(hAPP(c_List_Odistinct(_u18313), _u18314)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18312), hAPP(hAPP(c_List_Omap(_u18313, _u18312), _u18315), _u18314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18313, _u18312), _u18315), hAPP(c_List_Oset(_u18313), _u18314))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18316) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18316), _u18317), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18318, _u18319))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18316), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18316), _u18317), c_List_Oupto(_u18318, _u18319)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18320) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18320), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18320), _u18321), c_List_Oupto(_u18322, _u18323))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18320), _u18321), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18322, _u18323)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u18324) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18324), hAPP(hAPP(c_List_Omap(_u18325, _u18324), hAPP(c_COMBK(_u18324, _u18325), _u18326)), _u18327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18324), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18324), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18325)), _u18327))), _u18326)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18328) | ~hBOOL(hAPP(hAPP(c_member(_u18329), _u18330), hAPP(c_List_Oset(_u18329), _u18331))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18328), hAPP(hAPP(c_List_Omap(_u18329, _u18328), _u18332), _u18331)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18328), hAPP(_u18332, _u18330)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18328), hAPP(hAPP(c_List_Omap(_u18329, _u18328), _u18332), c_List_Oremove1(_u18329, _u18330, _u18331))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 12.32/12.53 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, _u18333), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18333)), _u18334)))) | hBOOL(hAPP(hAPP(c_member(_u18333), hAPP(c_Product__Type_Ofst(_u18333, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18333, _u18334), _u18335))), hAPP(c_List_Oset(_u18333), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18333), _u18333), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18333)), _u18334)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18337), _u18338)) | ( c_Nitpick_Osetsum_H(_u18337, _u18336, _u18339, _u18338) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18336), hAPP(hAPP(c_List_Omap(_u18337, _u18336), _u18339), c_Hilbert__Choice_OEps(tc_List_Olist(_u18337), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18337), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18337)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18337), tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18337, tc_HOL_Obool), tc_fun(tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18337)), c_fequal), c_List_Oset(_u18337))), _u18338))), c_List_Odistinct(_u18337)))))) )).
% 12.32/12.53 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18336) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18337), _u18338)) | ( c_Nitpick_Osetsum_H(_u18337, _u18336, _u18339, _u18338) = c_Groups_Ozero__class_Ozero(_u18336)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 12.32/12.53 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), _u18340), _u18341))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18340), _u18341)) | ( c_List_Oupto(_u18340, _u18341) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18340), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18340), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18341))) )).
% 12.32/12.53 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), _u18340), _u18341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18340), _u18341)) | ( c_List_Oupto(_u18340, _u18341) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18342), tc_List_Olist(_u18342))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18342), tc_List_Olist(_u18342)), _u18343), c_List_Olist_ONil(_u18342))), c_List_Olistrel(_u18342, _u18344))) | ( _u18343 = c_List_Olist_ONil(_u18342)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18345), tc_List_Olist(_u18345))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18345), tc_List_Olist(_u18345)), c_List_Olist_ONil(_u18345)), _u18346)), c_List_Olistrel(_u18345, _u18347))) | ( _u18346 = c_List_Olist_ONil(_u18345)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18351) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18348), hAPP(c_List_Oset(tc_Nat_Onat), _u18351))) | ( _u18348 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18352) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem460(_u18352)), hAPP(c_List_Oset(tc_Nat_Onat), _u18352))) )).
% 12.32/12.53 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18352) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem460(_u18352) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18353) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18353), c_List_Olist_ONil(_u18353)) = c_Groups_Ozero__class_Ozero(_u18353)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u18364 = c_List_Olist_ONil(_u18360)) | ( c_List_Olist_ONil(_u18358) != hAPP(hAPP(c_List_Omap(_u18360, _u18358), _u18362), _u18364)) )).
% 12.32/12.53 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u18365 != c_List_Olist_ONil(_u18361)) | ( c_List_Olist_ONil(_u18359) = hAPP(hAPP(c_List_Omap(_u18361, _u18359), _u18363), _u18365)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18366, _u18367), _u18368), c_List_Olist_ONil(_u18366)) = c_List_Olist_ONil(_u18367)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18373, _u18375), _u18377), _u18379) != c_List_Olist_ONil(_u18375)) | ( _u18379 = c_List_Olist_ONil(_u18373)) )).
% 12.32/12.53 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u18380 != c_List_Olist_ONil(_u18374)) | ( hAPP(hAPP(c_List_Omap(_u18374, _u18376), _u18378), _u18380) = c_List_Olist_ONil(_u18376)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u18381, _u18382, c_List_Olist_ONil(_u18381), c_List_Olist_ONil(_u18381)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u18383, _u18384, c_List_Olist_ONil(_u18383), c_List_Olist_ONil(_u18383)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u18385) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18386, _u18385, _u18387), _u18388), _u18389) != c_List_Olist_ONil(_u18386)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18390), c_List_Olist_ONil(_u18390))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u18391, _u18392, c_List_Olist_ONil(_u18391)) = c_List_Olist_ONil(_u18391)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18393, _u18394, _u18395, c_List_Olist_ONil(_u18393), _u18396) = _u18396) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18397), _u18398)) | ( c_List_Oupto(_u18398, _u18397) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18399, _u18400), _u18401), c_List_Olist_ONil(_u18400)) = c_List_Olist_ONil(tc_prod(_u18399, _u18400))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18402, _u18403), c_List_Olist_ONil(_u18402)), _u18404) = c_List_Olist_ONil(tc_prod(_u18402, _u18403))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18407)), _u18409) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18409 = c_List_Olist_ONil(_u18407)) )).
% 12.32/12.53 cnf(fact_length__0__conv-2, axiom, ( ( _u18410 != c_List_Olist_ONil(_u18408)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18408)), _u18410) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18411)), c_List_Olist_ONil(_u18411)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u18412) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18412, c_Orderings_Obot__class_Obot(tc_fun(_u18412, tc_HOL_Obool))) = c_List_Olist_ONil(_u18412)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u18413), c_List_Olist_ONil(_u18413)) = c_Orderings_Obot__class_Obot(tc_fun(_u18413, tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18416, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18416), _u18418)) | ( _u18418 = c_List_Olist_ONil(_u18416)) )).
% 12.32/12.53 cnf(fact_set__empty2-2, axiom, ( ( _u18419 != c_List_Olist_ONil(_u18417)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18417, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18417), _u18419)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u18422), _u18424) != c_Orderings_Obot__class_Obot(tc_fun(_u18422, tc_HOL_Obool))) | ( _u18424 = c_List_Olist_ONil(_u18422)) )).
% 12.32/12.53 cnf(fact_set__empty-2, axiom, ( ( _u18425 != c_List_Olist_ONil(_u18423)) | ( hAPP(c_List_Oset(_u18423), _u18425) = c_Orderings_Obot__class_Obot(tc_fun(_u18423, tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18426), _u18427), _u18428) != c_List_Olist_ONil(_u18426)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u18429) != hAPP(hAPP(c_List_Olist_OCons(_u18429), _u18430), _u18431)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18432) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18433, _u18432, _u18434), _u18435), c_List_Olist_ONil(_u18433)) = hAPP(hAPP(c_List_Olist_OCons(_u18433), _u18435), c_List_Olist_ONil(_u18433))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u18436, _u18437, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18436)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u18438, c_List_Olist_ONil(_u18438), _u18439) = c_List_Olist_ONil(_u18438)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 12.32/12.53 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(_u18442)), _u18444))) | ( _u18444 != c_List_Olist_ONil(_u18442)) )).
% 12.32/12.53 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u18445 = c_List_Olist_ONil(_u18443)) | 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(_u18443)), _u18445))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18446), tc_List_Olist(_u18446))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18446), tc_List_Olist(_u18446)), c_List_Olist_ONil(_u18446)), c_List_Olist_ONil(_u18446))), c_List_Olistrel(_u18446, _u18447))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18448), tc_List_Olist(_u18448))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18448), tc_List_Olist(_u18448)), c_List_Olist_ONil(_u18448)), _u18449)), c_List_Olex(_u18448, _u18450))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18451), tc_List_Olist(_u18451))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18451), tc_List_Olist(_u18451)), _u18452), c_List_Olist_ONil(_u18451))), c_List_Olex(_u18451, _u18453))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18456), _u18458)) | ( c_List_Oupto(_u18456, _u18458) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18456), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18456), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18458))) )).
% 12.32/12.53 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18457), _u18459)) | ( c_List_Oupto(_u18457, _u18459) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18463)) | ( c_List_Osublist(_u18465, hAPP(hAPP(c_List_Olist_OCons(_u18465), _u18467), c_List_Olist_ONil(_u18465)), _u18463) = hAPP(hAPP(c_List_Olist_OCons(_u18465), _u18467), c_List_Olist_ONil(_u18465))) )).
% 12.32/12.53 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18464)) | ( c_List_Osublist(_u18466, hAPP(hAPP(c_List_Olist_OCons(_u18466), _u18468), c_List_Olist_ONil(_u18466)), _u18464) = c_List_Olist_ONil(_u18466)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 12.32/12.53 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), _u18471)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473)))) )).
% 12.32/12.53 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), _u18472)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18474))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18472), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18474)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18475), tc_List_Olist(_u18475), c_List_Olistrel(_u18475, _u18476)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18475)), c_List_Olist_ONil(_u18475)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18475), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18475)), c_List_Olist_ONil(_u18475)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18475), tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u18477, _u18478, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18477)), c_List_Olist_ONil(_u18477)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18477), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18477, tc_List_Olist(_u18477), hAPP(hAPP(c_COMBC(_u18477, tc_List_Olist(_u18477), tc_List_Olist(_u18477)), c_List_Olist_OCons(_u18477)), c_List_Olist_ONil(_u18477))), _u18478)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select__weigth__select-1, axiom, ( ( _u18479 = c_List_Olist_ONil(_u18480)) | ( c_Random_Oselect__weight(_u18480, hAPP(hAPP(c_List_Omap(_u18480, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18480)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18480), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18479)) = c_Random_Oselect(_u18480, _u18479)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select-1, axiom, ( ( _u18481 = c_List_Olist_ONil(_u18482)) | hBOOL(hAPP(hAPP(c_member(_u18482), hAPP(c_Product__Type_Ofst(_u18482, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18482, _u18481), _u18483))), hAPP(c_List_Oset(_u18482), _u18481))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__Cons__code_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__Cons__code_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18484, _u18485, c_List_Olist_ONil(tc_prod(_u18484, _u18485))), _u18486) = c_Option_Ooption_ONone(_u18485)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of_Osimps_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18487, _u18488, c_List_Olist_ONil(tc_prod(_u18487, _u18488))), _u18489) = c_Option_Ooption_ONone(_u18488)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u18495 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18497, _u18499, _u18501, _u18495), _u18503) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18499), _u18497), c_List_Olist_ONil(_u18499)), _u18503)) )).
% 12.32/12.53 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u18496 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18498, _u18500, _u18502, _u18496), _u18504) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(_u18500, _u18498), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18500), _u18498), c_List_Olist_ONil(_u18500)), _u18504), hAPP(c_Product__Type_Oprod_Oprod__case(_u18500, _u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), hAPP(hAPP(c_COMBC(_u18500, tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), _u18500), c_COMBB(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498), _u18498)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), tc_fun(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498)), _u18500), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18500), _u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18500), tc_List_Olist(_u18500)), tc_fun(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), _u18500), hAPP(c_COMBB(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_List_Olist(_u18500)), c_Product__Type_OPair(tc_List_Olist(_u18500), _u18498))), c_List_Olist_OCons(_u18500))))), c_Lazy__Sequence_Oanamorph(_u18498, _u18500, _u18502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18496), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18502, _u18504))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u18505, c_List_Olist_ONil(tc_fun(_u18505, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18505)), c_List_Olist_ONil(_u18505)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18505), tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u18506, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18506, tc_HOL_Obool)), _u18507), _u18508)) = c_List_Oset__Cons(_u18506, _u18507, c_List_Olistset(_u18506, _u18508))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18509, _u18510), hAPP(hAPP(c_List_Olist_OCons(_u18509), _u18511), _u18512)), _u18513) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18509, _u18510)), _u18510, c_List_Olist_ONil(tc_prod(_u18509, _u18510)), hAPP(hAPP(c_COMBC(_u18510, tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510)))), _u18510), c_COMBB(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(_u18510))), hAPP(hAPP(c_COMBB(tc_prod(_u18509, _u18510), tc_fun(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510))), _u18510), c_List_Olist_OCons(tc_prod(_u18509, _u18510))), hAPP(c_Product__Type_OPair(_u18509, _u18510), _u18511)))), hAPP(c_List_Ozip(_u18509, _u18510), _u18512))), _u18513)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18514, _u18515), _u18516), hAPP(hAPP(c_List_Olist_OCons(_u18515), _u18517), _u18518)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18514, _u18515)), _u18514, c_List_Olist_ONil(tc_prod(_u18514, _u18515)), hAPP(hAPP(c_COMBC(_u18514, tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515)))), _u18514), c_COMBB(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(_u18514))), hAPP(hAPP(c_COMBB(tc_prod(_u18514, _u18515), tc_fun(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515))), _u18514), c_List_Olist_OCons(tc_prod(_u18514, _u18515))), hAPP(hAPP(c_COMBC(_u18514, _u18515, tc_prod(_u18514, _u18515)), c_Product__Type_OPair(_u18514, _u18515)), _u18517)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18514), tc_List_Olist(_u18515), tc_List_Olist(tc_prod(_u18514, _u18515))), c_List_Ozip(_u18514, _u18515)), _u18518))), _u18516)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18519, _u18520, _u18521, _u18522), hAPP(hAPP(c_List_Olist_OCons(_u18520), _u18523), _u18524)) = hAPP(hAPP(_u18522, _u18523), _u18524)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18525, _u18526, _u18527, _u18528), c_List_Olist_ONil(_u18526)) = _u18527) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u18529, _u18530) = 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(_u18529, 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(_u18529)), _u18530)))), hAPP(hAPP(c_COMBB(_u18529, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18529, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18529), _u18530)), c_Code__Numeral_Onat__of)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18532)), _u18533))) | ( hAPP(c_Random_Opick(_u18532, hAPP(hAPP(c_List_Omap(_u18532, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18532)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18532), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18533)), hAPP(c_Code__Numeral_Oof__nat, _u18531)) = hAPP(hAPP(c_List_Onth(_u18532), _u18533), _u18531)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18534), hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18535), _u18536)), hAPP(c_Nat_OSuc, _u18537)) = hAPP(hAPP(c_List_Onth(_u18534), _u18536), _u18537)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18538), hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18539), _u18540)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18539) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18541), hAPP(hAPP(c_List_Olist_OCons(_u18541), _u18542), _u18543)), _u18544) = c_Nat_Onat_Onat__case(_u18541, _u18542, hAPP(c_List_Onth(_u18541), _u18543), _u18544)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18546)), _u18547))) | ( hAPP(hAPP(c_List_Onth(_u18548), hAPP(hAPP(c_List_Omap(_u18546, _u18548), _u18549), _u18547)), _u18545) = hAPP(_u18549, hAPP(hAPP(c_List_Onth(_u18546), _u18547), _u18545))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18551), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18557)), _u18559))) | hBOOL(hAPP(_u18561, hAPP(hAPP(c_List_Onth(_u18557), _u18559), _u18551))) | hBOOL(hAPP(hAPP(c_member(_u18557), skolem461(_u18561, _u18559, _u18557)), hAPP(c_List_Oset(_u18557), _u18559))) )).
% 12.32/12.53 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18551), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18557)), _u18559))) | hBOOL(hAPP(_u18561, hAPP(hAPP(c_List_Onth(_u18557), _u18559), _u18551))) | ~hBOOL(hAPP(_u18561, skolem461(_u18561, _u18559, _u18557))) )).
% 12.32/12.53 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18558), _u18553), hAPP(c_List_Oset(_u18558), _u18560))) | hBOOL(hAPP(_u18562, _u18553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18562, _u18560, _u18558)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18558)), _u18560))) )).
% 12.32/12.53 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18558), _u18553), hAPP(c_List_Oset(_u18558), _u18560))) | hBOOL(hAPP(_u18562, _u18553)) | ~hBOOL(hAPP(_u18562, hAPP(hAPP(c_List_Onth(_u18558), _u18560), skolem462(_u18562, _u18560, _u18558)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18563), _u18564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18565), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18566), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ( hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18565) != hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18566)) | ( _u18565 = _u18566) )).
% 12.32/12.53 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18563), _u18564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18565), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18566), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ( _u18565 != _u18566) | ( hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18565) = hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18566)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18573), _u18575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18568), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18573)), _u18575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18567), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18573)), _u18575))) | ( _u18568 = _u18567) | ( hAPP(hAPP(c_List_Onth(_u18573), _u18575), _u18568) != hAPP(hAPP(c_List_Onth(_u18573), _u18575), _u18567)) )).
% 12.32/12.53 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18576, _u18574)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18576))) )).
% 12.32/12.53 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18576, _u18574)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18576))) )).
% 12.32/12.53 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | ( skolem463(_u18576, _u18574) != skolem464(_u18576, _u18574)) )).
% 12.32/12.53 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | ( hAPP(hAPP(c_List_Onth(_u18574), _u18576), skolem463(_u18576, _u18574)) = hAPP(hAPP(c_List_Onth(_u18574), _u18576), skolem464(_u18576, _u18574))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u18582 != _u18584) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18582) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18584)) )).
% 12.32/12.53 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u18582 != _u18584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18577), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18582))) | ( hAPP(hAPP(c_List_Onth(_u18586), _u18582), _u18577) = hAPP(hAPP(c_List_Onth(_u18586), _u18584), _u18577)) )).
% 12.32/12.53 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u18583 = _u18585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18587, _u18585, _u18583)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583))) )).
% 12.32/12.53 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u18583 = _u18585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18585)) | ( hAPP(hAPP(c_List_Onth(_u18587), _u18583), skolem465(_u18587, _u18585, _u18583)) != hAPP(hAPP(c_List_Onth(_u18587), _u18585), skolem465(_u18587, _u18585, _u18583))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18588), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18589)), _u18590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18588), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18591)), _u18592))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18589, _u18591)), hAPP(hAPP(c_List_Ozip(_u18589, _u18591), _u18590), _u18592)), _u18588) = hAPP(hAPP(c_Product__Type_OPair(_u18589, _u18591), hAPP(hAPP(c_List_Onth(_u18589), _u18590), _u18588)), hAPP(hAPP(c_List_Onth(_u18591), _u18592), _u18588))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18594), _u18593)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18594))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18595), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18596)), _u18597))) | hBOOL(hAPP(hAPP(c_member(_u18596), hAPP(hAPP(c_List_Onth(_u18596), _u18597), _u18595)), hAPP(c_List_Oset(_u18596), _u18597))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18603), _u18605), hAPP(c_List_Oset(_u18603), _u18607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18607, _u18605, _u18603)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18603)), _u18607))) )).
% 12.32/12.53 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18603), _u18605), hAPP(c_List_Oset(_u18603), _u18607))) | ( hAPP(hAPP(c_List_Onth(_u18603), _u18607), skolem466(_u18607, _u18605, _u18603)) = _u18605) )).
% 12.32/12.53 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), _u18608))) | ( hAPP(hAPP(c_List_Onth(_u18604), _u18608), _u18599) != _u18606) | hBOOL(hAPP(hAPP(c_member(_u18604), _u18606), hAPP(c_List_Oset(_u18604), _u18608))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__Cons_H-1, axiom, ( ( _u18613 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18615), hAPP(hAPP(c_List_Olist_OCons(_u18615), _u18617), _u18619)), _u18613) = _u18617) )).
% 12.32/12.53 cnf(fact_nth__Cons_H-2, axiom, ( ( _u18614 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18616), hAPP(hAPP(c_List_Olist_OCons(_u18616), _u18618), _u18620)), _u18614) = hAPP(hAPP(c_List_Onth(_u18616), _u18620), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18614), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u18621), _u18622) = hAPP(c_Set_OCollect(_u18621), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18621), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18621, 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)), _u18621), 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)), _u18621), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18621, tc_fun(tc_Nat_Onat, _u18621), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18621, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18621), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18621), c_COMBB(_u18621, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18621), _u18622))))), 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(_u18621)), _u18622)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18627) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18629), hAPP(hAPP(c_List_Olist_OCons(_u18629), _u18631), _u18633)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18627)) = _u18631) )).
% 12.32/12.53 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18630), hAPP(hAPP(c_List_Olist_OCons(_u18630), _u18632), _u18634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628)) = hAPP(hAPP(c_List_Onth(_u18630), _u18634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18635) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18635), _u18636) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18635), hAPP(c_List_Onth(_u18635), _u18636)), 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(_u18635)), _u18636)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u18637), c_List_Osublist(_u18637, _u18638, _u18639)) = hAPP(c_Set_OCollect(_u18637), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18637), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18637, 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)), _u18637), 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)), _u18637), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18637, tc_fun(tc_Nat_Onat, _u18637), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18637, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18637), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18637), c_COMBB(_u18637, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18637), _u18638))))), 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(_u18637)), _u18638)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18639)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18646), tc_List_Olist(_u18646))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18646), tc_List_Olist(_u18646)), _u18648), _u18650)), c_List_Olistrel(_u18646, _u18652))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18648) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18650)) )).
% 12.32/12.53 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18646), tc_List_Olist(_u18646))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18646), tc_List_Olist(_u18646)), _u18648), _u18650)), c_List_Olistrel(_u18646, _u18652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18648))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18646, _u18646)), hAPP(hAPP(c_Product__Type_OPair(_u18646, _u18646), hAPP(hAPP(c_List_Onth(_u18646), _u18648), _u18640)), hAPP(hAPP(c_List_Onth(_u18646), _u18650), _u18640))), _u18652)) )).
% 12.32/12.53 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18647), tc_List_Olist(_u18647))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18647), tc_List_Olist(_u18647)), _u18649), _u18651)), c_List_Olistrel(_u18647, _u18653))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u18653, _u18651, _u18649, _u18647)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649))) )).
% 12.32/12.53 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18647), tc_List_Olist(_u18647))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18647), tc_List_Olist(_u18647)), _u18649), _u18651)), c_List_Olistrel(_u18647, _u18653))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18651)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18647, _u18647)), hAPP(hAPP(c_Product__Type_OPair(_u18647, _u18647), hAPP(hAPP(c_List_Onth(_u18647), _u18649), skolem467(_u18653, _u18651, _u18649, _u18647))), hAPP(hAPP(c_List_Onth(_u18647), _u18651), skolem467(_u18653, _u18651, _u18649, _u18647)))), _u18653)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u18654, _u18655)), hAPP(hAPP(c_List_Ozip(_u18654, _u18655), _u18656), _u18657)) = hAPP(c_Set_OCollect(tc_prod(_u18654, _u18655)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18654, _u18655)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18654, _u18655), 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(_u18654, _u18655)), 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(_u18654, _u18655)), 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(_u18654, _u18655), tc_fun(tc_Nat_Onat, tc_prod(_u18654, _u18655)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18654, _u18655), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18654, _u18655)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18654, _u18655)), c_COMBB(tc_prod(_u18654, _u18655), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18655, tc_prod(_u18654, _u18655)), hAPP(hAPP(c_COMBB(_u18654, tc_fun(_u18655, tc_prod(_u18654, _u18655)), tc_Nat_Onat), c_Product__Type_OPair(_u18654, _u18655)), hAPP(c_List_Onth(_u18654), _u18656))), hAPP(c_List_Onth(_u18655), _u18657)))))), 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(_u18654)), _u18656)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18655)), _u18657))))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18658) | hBOOL(hAPP(hAPP(c_member(_u18658), hAPP(_u18659, _u18660)), hAPP(c_Set_Oimage(_u18661, _u18658, _u18659), hAPP(c_List_Oset(_u18661), _u18662)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18661, _u18658, _u18659, _u18660, _u18662) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18661, _u18658, _u18659), _u18660), _u18662)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18663), _u18664)) | hBOOL(hAPP(hAPP(c_member(_u18663), _u18665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18663, tc_HOL_Obool)), hAPP(c_List_Oset(_u18663), _u18664)), hAPP(hAPP(c_Set_Oinsert(_u18663), hAPP(hAPP(c_List_Onth(_u18663), _u18664), _u18666)), c_Orderings_Obot__class_Obot(tc_fun(_u18663, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18663), hAPP(hAPP(c_List_Olist__update(_u18663, _u18664), _u18666), _u18665))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18667, _u18668), _u18669), hAPP(hAPP(c_List_Onth(_u18667), _u18668), _u18669)) = _u18668) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u18670 = _u18671) | ( hAPP(hAPP(c_List_Onth(_u18672), hAPP(hAPP(c_List_Olist__update(_u18672, _u18673), _u18670), _u18674)), _u18671) = hAPP(hAPP(c_List_Onth(_u18672), _u18673), _u18671)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18679, _u18681), _u18683), _u18685) != c_List_Olist_ONil(_u18679)) | ( _u18681 = c_List_Olist_ONil(_u18679)) )).
% 12.32/12.53 cnf(fact_list__update__nonempty-2, axiom, ( ( _u18682 != c_List_Olist_ONil(_u18680)) | ( hAPP(hAPP(c_List_Olist__update(_u18680, _u18682), _u18684), _u18686) = c_List_Olist_ONil(_u18680)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18687, c_List_Olist_ONil(_u18687)), _u18688), _u18689) = c_List_Olist_ONil(_u18687)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18690, c_List_Olist_ONil(_u18690)), _u18691), _u18692) = c_List_Olist_ONil(_u18690)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18693, _u18694), hAPP(hAPP(c_List_Olist__update(_u18693, _u18695), _u18696), _u18697)), hAPP(hAPP(c_List_Olist__update(_u18694, _u18698), _u18696), _u18699)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18693, _u18694), hAPP(hAPP(c_List_Ozip(_u18693, _u18694), _u18695), _u18698)), _u18696), hAPP(hAPP(c_Product__Type_OPair(_u18693, _u18694), _u18697), _u18699))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18700, _u18701), hAPP(hAPP(c_List_Ozip(_u18700, _u18701), _u18702), _u18703)), _u18704), _u18705) = hAPP(hAPP(c_List_Ozip(_u18700, _u18701), hAPP(hAPP(c_List_Olist__update(_u18700, _u18702), _u18704), hAPP(c_Product__Type_Ofst(_u18700, _u18701), _u18705))), hAPP(hAPP(c_List_Olist__update(_u18701, _u18703), _u18704), hAPP(c_Product__Type_Osnd(_u18700, _u18701), _u18705)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18706)), hAPP(hAPP(c_List_Olist__update(_u18706, _u18707), _u18708), _u18709)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18706)), _u18707)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__swap-1, axiom, ( ( _u18710 = _u18711) | ( hAPP(hAPP(c_List_Olist__update(_u18712, hAPP(hAPP(c_List_Olist__update(_u18712, _u18713), _u18710), _u18714)), _u18711), _u18715) = hAPP(hAPP(c_List_Olist__update(_u18712, hAPP(hAPP(c_List_Olist__update(_u18712, _u18713), _u18711), _u18715)), _u18710), _u18714)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18716, hAPP(hAPP(c_List_Olist__update(_u18716, _u18717), _u18718), _u18719)), _u18718), _u18720) = hAPP(hAPP(c_List_Olist__update(_u18716, _u18717), _u18718), _u18720)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18721) | ~hBOOL(hAPP(c_List_Odistinct(_u18722), _u18723)) | hBOOL(hAPP(c_List_Odistinct(_u18722), c_List_Olinorder__class_Oinsort__insert__key(_u18722, _u18721, _u18724, _u18725, _u18723))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 12.32/12.53 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(_u18726)), _u18727)), _u18728)) | ( hAPP(hAPP(c_List_Olist__update(_u18726, _u18727), _u18728), _u18729) = _u18727) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18730, _u18731), _u18732), hAPP(hAPP(c_List_Olist__update(_u18730, _u18733), _u18734), _u18735)) = hAPP(hAPP(c_List_Olist__update(_u18731, hAPP(hAPP(c_List_Omap(_u18730, _u18731), _u18732), _u18733)), _u18734), hAPP(_u18732, _u18735))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18736, hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18737), _u18738)), _u18739), _u18740) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18736), hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18740), _u18738), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18736), tc_List_Olist(_u18736), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18736), _u18737)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18736, tc_List_Olist(_u18736)), c_List_Olist__update(_u18736, _u18738)), _u18740)), _u18739)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18741, hAPP(hAPP(c_List_Olist_OCons(_u18741), _u18742), _u18743)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18744) = hAPP(hAPP(c_List_Olist_OCons(_u18741), _u18744), _u18743)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18745, hAPP(hAPP(c_List_Olist_OCons(_u18745), _u18746), _u18747)), hAPP(c_Nat_OSuc, _u18748)), _u18749) = hAPP(hAPP(c_List_Olist_OCons(_u18745), _u18746), hAPP(hAPP(c_List_Olist__update(_u18745, _u18747), _u18748), _u18749))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18750, tc_HOL_Obool)), hAPP(c_List_Oset(_u18750), _u18751)), _u18752)) | ~hBOOL(hAPP(hAPP(c_member(_u18750), _u18753), _u18752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18750, tc_HOL_Obool)), hAPP(c_List_Oset(_u18750), hAPP(hAPP(c_List_Olist__update(_u18750, _u18751), _u18754), _u18753))), _u18752)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18755, tc_HOL_Obool)), hAPP(c_List_Oset(_u18755), hAPP(hAPP(c_List_Olist__update(_u18755, _u18756), _u18757), _u18758))), hAPP(hAPP(c_Set_Oinsert(_u18755), _u18758), hAPP(c_List_Oset(_u18755), _u18756)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18759), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18760)), _u18761))) | ( hAPP(hAPP(c_List_Onth(_u18760), hAPP(hAPP(c_List_Olist__update(_u18760, _u18761), _u18759), _u18762)), _u18759) = _u18762) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18764)), _u18765))) | ( hAPP(hAPP(c_List_Olist__update(_u18764, _u18765), _u18763), _u18766) != _u18765) | ( hAPP(hAPP(c_List_Onth(_u18764), _u18765), _u18763) = _u18766) )).
% 12.32/12.53 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18764)), _u18765))) | ( hAPP(hAPP(c_List_Onth(_u18764), _u18765), _u18763) != _u18766) | ( hAPP(hAPP(c_List_Olist__update(_u18764, _u18765), _u18763), _u18766) = _u18765) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18767), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18768)), _u18769))) | ( _u18767 != _u18770) | ( hAPP(hAPP(c_List_Onth(_u18768), hAPP(hAPP(c_List_Olist__update(_u18768, _u18769), _u18767), _u18771)), _u18770) = _u18771) )).
% 12.32/12.53 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18767), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18768)), _u18769))) | ( _u18767 = _u18770) | ( hAPP(hAPP(c_List_Onth(_u18768), hAPP(hAPP(c_List_Olist__update(_u18768, _u18769), _u18767), _u18771)), _u18770) = hAPP(hAPP(c_List_Onth(_u18768), _u18769), _u18770)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18772), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18773)), _u18774))) | hBOOL(hAPP(hAPP(c_member(_u18773), _u18775), hAPP(c_List_Oset(_u18773), hAPP(hAPP(c_List_Olist__update(_u18773, _u18774), _u18772), _u18775)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18776) | ~hBOOL(hAPP(hAPP(c_member(_u18776), _u18777), hAPP(c_List_Oset(_u18776), _u18778))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18776, _u18776, c_COMBI(_u18776), _u18777, _u18778) = _u18778) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18779) | ( hAPP(c_List_Oset(_u18779), c_List_Olinorder__class_Oinsort__insert__key(_u18779, _u18779, c_COMBI(_u18779), _u18780, _u18781)) = hAPP(hAPP(c_Set_Oinsert(_u18779), _u18780), hAPP(c_List_Oset(_u18779), _u18781))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18782), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18783))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18783), _u18782), _u18784)) = 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), _u18783)), _u18784)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18783), _u18782))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18785) | ~hBOOL(hAPP(hAPP(c_member(_u18785), hAPP(_u18786, _u18787)), hAPP(c_Set_Oimage(_u18788, _u18785, _u18786), hAPP(c_List_Oset(_u18788), _u18789)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18788, _u18785, _u18786, _u18787, _u18789) = _u18789) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18790) | hBOOL(hAPP(hAPP(c_member(_u18790), _u18791), hAPP(c_List_Oset(_u18790), _u18792))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18790, _u18790, c_COMBI(_u18790), _u18791, _u18792) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18790, _u18790, c_COMBI(_u18790)), _u18791), _u18792)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795), _u18796) = hAPP(hAPP(c_List_Oappend(_u18793), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18793)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18796)), hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), c_List_Olist_ONil(_u18793))), c_List_Olist_ONil(_u18793))), c_List_Osublist(_u18793, _u18795, 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)), _u18796))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18805), _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811))), c_List_Olexord(_u18803, _u18813))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18803, _u18803)), hAPP(hAPP(c_Product__Type_OPair(_u18803, _u18803), _u18805), _u18809)), _u18813)) | ( _u18805 = _u18809) )).
% 12.32/12.53 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18805), _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811))), c_List_Olexord(_u18803, _u18813))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18803, _u18803)), hAPP(hAPP(c_Product__Type_OPair(_u18803, _u18803), _u18805), _u18809)), _u18813)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), _u18807), _u18811)), c_List_Olexord(_u18803, _u18813))) )).
% 12.32/12.53 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18806), _u18808)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812))), c_List_Olexord(_u18804, _u18814))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18804, _u18804)), hAPP(hAPP(c_Product__Type_OPair(_u18804, _u18804), _u18806), _u18810)), _u18814)) )).
% 12.32/12.53 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18806), _u18808)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812))), c_List_Olexord(_u18804, _u18814))) | ( _u18806 != _u18810) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), _u18808), _u18812)), c_List_Olexord(_u18804, _u18814))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18815), hAPP(hAPP(c_List_Oappend(_u18815), _u18816), hAPP(hAPP(c_List_Olist_OCons(_u18815), _u18817), _u18818))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18815)), _u18816)) = _u18817) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18819), hAPP(hAPP(c_List_Oappend(_u18819), _u18820), _u18821)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), _u18820)), _u18822)) = hAPP(hAPP(c_List_Onth(_u18819), _u18821), _u18822)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18826)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18827) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18828)) | ( hAPP(hAPP(c_List_Ozip(_u18823, _u18825), hAPP(hAPP(c_List_Oappend(_u18823), _u18824), _u18827)), hAPP(hAPP(c_List_Oappend(_u18825), _u18826), _u18828)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18823, _u18825)), hAPP(hAPP(c_List_Ozip(_u18823, _u18825), _u18824), _u18826)), hAPP(hAPP(c_List_Ozip(_u18823, _u18825), _u18827), _u18828))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | ( hAPP(hAPP(c_List_Olist__update(_u18830, hAPP(hAPP(c_List_Oappend(_u18830), _u18831), _u18832)), _u18829), _u18833) = hAPP(hAPP(c_List_Oappend(_u18830), hAPP(hAPP(c_List_Olist__update(_u18830, _u18831), _u18829), _u18833)), _u18832)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), hAPP(hAPP(c_List_Oappend(_u18834), _u18835), _u18836)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), _u18835)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), _u18836))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18837, hAPP(hAPP(c_List_Oappend(_u18837), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18837), _u18839), _u18840))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18837)), _u18838)), _u18841) = hAPP(hAPP(c_List_Oappend(_u18837), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18837), _u18841), _u18840))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18847), _u18849), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18851), c_List_Olist_ONil(_u18847))) != hAPP(hAPP(c_List_Oappend(_u18847), _u18853), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18855), c_List_Olist_ONil(_u18847)))) | ( _u18849 = _u18853) )).
% 12.32/12.53 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18847), _u18849), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18851), c_List_Olist_ONil(_u18847))) != hAPP(hAPP(c_List_Oappend(_u18847), _u18853), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18855), c_List_Olist_ONil(_u18847)))) | ( _u18851 = _u18855) )).
% 12.32/12.53 cnf(fact_append1__eq__conv-3, axiom, ( ( _u18850 != _u18854) | ( _u18852 != _u18856) | ( hAPP(hAPP(c_List_Oappend(_u18848), _u18850), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18852), c_List_Olist_ONil(_u18848))) = hAPP(hAPP(c_List_Oappend(_u18848), _u18854), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18856), c_List_Olist_ONil(_u18848)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( _u18870 = c_List_Olist_ONil(_u18864)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)) = _u18870) )).
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( _u18870 = c_List_Olist_ONil(_u18864)) | ( _u18868 = hAPP(hAPP(c_List_Oappend(_u18864), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)), _u18872)) )).
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) = _u18872) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)) = _u18870) )).
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) = _u18872) | ( _u18868 = hAPP(hAPP(c_List_Oappend(_u18864), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)), _u18872)) )).
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) = hAPP(hAPP(c_List_Oappend(_u18865), _u18871), _u18873)) | ( _u18871 != c_List_Olist_ONil(_u18865)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) != _u18873) )).
% 12.32/12.53 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) = hAPP(hAPP(c_List_Oappend(_u18865), _u18871), _u18873)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18858) != _u18871) | ( _u18869 != hAPP(hAPP(c_List_Oappend(_u18865), _u18858), _u18873)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = c_List_Olist_ONil(_u18881)) | ( _u18883 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881))) )).
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = c_List_Olist_ONil(_u18881)) | ( hAPP(hAPP(c_List_Oappend(_u18881), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881)), _u18885) = _u18889) )).
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18885 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881))) )).
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18885 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( hAPP(hAPP(c_List_Oappend(_u18881), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881)), _u18885) = _u18889) )).
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18882), _u18884), _u18886) = hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) | ( _u18884 != c_List_Olist_ONil(_u18882)) | ( _u18886 != hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) )).
% 12.32/12.53 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18882), _u18884), _u18886) = hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) | ( _u18884 != hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18875)) | ( hAPP(hAPP(c_List_Oappend(_u18882), _u18875), _u18886) != _u18890) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18891, _u18891)), hAPP(hAPP(c_Product__Type_OPair(_u18891, _u18891), _u18892), _u18893)), _u18894)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18891), tc_List_Olist(_u18891))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18891), tc_List_Olist(_u18891)), hAPP(hAPP(c_List_Oappend(_u18891), _u18895), hAPP(hAPP(c_List_Olist_OCons(_u18891), _u18892), _u18896))), hAPP(hAPP(c_List_Oappend(_u18891), _u18895), hAPP(hAPP(c_List_Olist_OCons(_u18891), _u18893), _u18897)))), c_List_Olexord(_u18891, _u18894))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18898), _u18899), _u18900) != _u18901) | ( _u18902 != hAPP(hAPP(c_List_Oappend(_u18898), _u18900), _u18903)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18898), _u18899), _u18902) = hAPP(hAPP(c_List_Oappend(_u18898), _u18901), _u18903)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18904), hAPP(hAPP(c_List_Olist_OCons(_u18904), _u18905), _u18906)), _u18907) = hAPP(hAPP(c_List_Olist_OCons(_u18904), _u18905), hAPP(hAPP(c_List_Oappend(_u18904), _u18906), _u18907))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u18908) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), hAPP(hAPP(c_List_Oappend(_u18908), _u18909), _u18910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18908), hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), _u18909)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), _u18910))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), hAPP(hAPP(c_List_Oappend(_u18911), _u18914), _u18915)) = hAPP(hAPP(c_List_Oappend(_u18912), hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), _u18914)), hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), _u18915))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u18916), hAPP(hAPP(c_List_Oappend(_u18916), _u18917), _u18918)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18916, tc_HOL_Obool)), hAPP(c_List_Oset(_u18916), _u18917)), hAPP(c_List_Oset(_u18916), _u18918))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18919), hAPP(hAPP(c_List_Oappend(_u18919), _u18920), _u18921)), _u18922) = hAPP(hAPP(c_List_Oappend(_u18919), _u18920), hAPP(hAPP(c_List_Oappend(_u18919), _u18921), _u18922))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( _u18936 = hAPP(hAPP(c_List_Oappend(_u18934), _u18940), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934))) | ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)) = _u18940) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( _u18936 = hAPP(hAPP(c_List_Oappend(_u18934), _u18940), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934))) | ( _u18938 = hAPP(hAPP(c_List_Oappend(_u18934), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18942)) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( hAPP(hAPP(c_List_Oappend(_u18934), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18938) = _u18942) | ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)) = _u18940) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( hAPP(hAPP(c_List_Oappend(_u18934), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18938) = _u18942) | ( _u18938 = hAPP(hAPP(c_List_Oappend(_u18934), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18942)) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18939) = hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18943)) | ( _u18937 != hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18932)) | ( hAPP(hAPP(c_List_Oappend(_u18935), _u18932), _u18939) != _u18943) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18939) = hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18943)) | ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18933) != _u18941) | ( _u18939 != hAPP(hAPP(c_List_Oappend(_u18935), _u18933), _u18943)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_same__append__eq-1, axiom, ( ( _u18952 = _u18954) | ( hAPP(hAPP(c_List_Oappend(_u18948), _u18950), _u18952) != hAPP(hAPP(c_List_Oappend(_u18948), _u18950), _u18954)) )).
% 12.32/12.53 cnf(fact_same__append__eq-2, axiom, ( ( _u18953 != _u18955) | ( hAPP(hAPP(c_List_Oappend(_u18949), _u18951), _u18953) = hAPP(hAPP(c_List_Oappend(_u18949), _u18951), _u18955)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__same__eq-1, axiom, ( ( _u18962 = _u18966) | ( hAPP(hAPP(c_List_Oappend(_u18960), _u18962), _u18964) != hAPP(hAPP(c_List_Oappend(_u18960), _u18966), _u18964)) )).
% 12.32/12.53 cnf(fact_append__same__eq-2, axiom, ( ( _u18963 != _u18967) | ( hAPP(hAPP(c_List_Oappend(_u18961), _u18963), _u18965) = hAPP(hAPP(c_List_Oappend(_u18961), _u18967), _u18965)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18968), _u18969), _u18970) != _u18971) | ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18968), _u18970), _u18973)) | ( hAPP(hAPP(c_List_Oappend(_u18968), _u18969), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18971), _u18973)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__append-1, axiom, ( ( c_Map_Omap__of(_u18974, _u18975, hAPP(hAPP(c_List_Oappend(tc_prod(_u18974, _u18975)), _u18976), _u18977)) = c_Map_Omap__add(_u18974, _u18975, c_Map_Omap__of(_u18974, _u18975, _u18977), c_Map_Omap__of(_u18974, _u18975, _u18976))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18978, _u18979, _u18980, hAPP(hAPP(c_List_Oappend(_u18978), _u18981), _u18982), _u18983) = c_List_Ofoldr(_u18978, _u18979, _u18980, _u18981, c_List_Ofoldr(_u18978, _u18979, _u18980, _u18982, _u18983))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18984), tc_List_Olist(_u18984))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18984), tc_List_Olist(_u18984)), _u18985), _u18986)), c_List_Olexord(_u18984, _u18987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18984), tc_List_Olist(_u18984))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18984), tc_List_Olist(_u18984)), hAPP(hAPP(c_List_Oappend(_u18984), _u18988), _u18985)), hAPP(hAPP(c_List_Oappend(_u18984), _u18988), _u18986))), c_List_Olexord(_u18984, _u18987))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u18989 != _u18990) | ( _u18989 = hAPP(hAPP(c_List_Oappend(_u18991), c_List_Olist_ONil(_u18991)), _u18990)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18995), _u18997), _u18999) != _u18999) | ( _u18997 = c_List_Olist_ONil(_u18995)) )).
% 12.32/12.53 cnf(fact_append__self__conv2-2, axiom, ( ( _u18998 != c_List_Olist_ONil(_u18996)) | ( hAPP(hAPP(c_List_Oappend(_u18996), _u18998), _u19000) = _u19000) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19004), _u19006), _u19008) != _u19006) | ( _u19008 = c_List_Olist_ONil(_u19004)) )).
% 12.32/12.53 cnf(fact_append__self__conv-2, axiom, ( ( _u19009 != c_List_Olist_ONil(_u19005)) | ( hAPP(hAPP(c_List_Oappend(_u19005), _u19007), _u19009) = _u19007) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19013), _u19015), _u19017) != c_List_Olist_ONil(_u19013)) | ( _u19015 = c_List_Olist_ONil(_u19013)) )).
% 12.32/12.53 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19013), _u19015), _u19017) != c_List_Olist_ONil(_u19013)) | ( _u19017 = c_List_Olist_ONil(_u19013)) )).
% 12.32/12.53 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u19016 != c_List_Olist_ONil(_u19014)) | ( _u19018 != c_List_Olist_ONil(_u19014)) | ( hAPP(hAPP(c_List_Oappend(_u19014), _u19016), _u19018) = c_List_Olist_ONil(_u19014)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_self__append__conv2-1, axiom, ( ( _u19026 = c_List_Olist_ONil(_u19024)) | ( _u19022 != hAPP(hAPP(c_List_Oappend(_u19024), _u19026), _u19022)) )).
% 12.32/12.53 cnf(fact_self__append__conv2-2, axiom, ( ( _u19027 != c_List_Olist_ONil(_u19025)) | ( _u19023 = hAPP(hAPP(c_List_Oappend(_u19025), _u19027), _u19023)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_self__append__conv-1, axiom, ( ( _u19035 = c_List_Olist_ONil(_u19033)) | ( _u19031 != hAPP(hAPP(c_List_Oappend(_u19033), _u19031), _u19035)) )).
% 12.32/12.53 cnf(fact_self__append__conv-2, axiom, ( ( _u19036 != c_List_Olist_ONil(_u19034)) | ( _u19032 = hAPP(hAPP(c_List_Oappend(_u19034), _u19032), _u19036)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19037), _u19038), c_List_Olist_ONil(_u19037)) = _u19038) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u19042) != hAPP(hAPP(c_List_Oappend(_u19042), _u19044), _u19046)) | ( _u19044 = c_List_Olist_ONil(_u19042)) )).
% 12.32/12.53 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u19042) != hAPP(hAPP(c_List_Oappend(_u19042), _u19044), _u19046)) | ( _u19046 = c_List_Olist_ONil(_u19042)) )).
% 12.32/12.53 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u19045 != c_List_Olist_ONil(_u19043)) | ( _u19047 != c_List_Olist_ONil(_u19043)) | ( c_List_Olist_ONil(_u19043) = hAPP(hAPP(c_List_Oappend(_u19043), _u19045), _u19047)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19048), c_List_Olist_ONil(_u19048)), _u19049) = _u19049) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19054), _u19056), hAPP(c_List_Oset(_u19054), _u19058))) | ( c_List_Oremove1(_u19054, _u19056, hAPP(hAPP(c_List_Oappend(_u19054), _u19058), _u19060)) = hAPP(hAPP(c_List_Oappend(_u19054), c_List_Oremove1(_u19054, _u19056, _u19058)), _u19060)) )).
% 12.32/12.53 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19055), _u19057), hAPP(c_List_Oset(_u19055), _u19059))) | ( c_List_Oremove1(_u19055, _u19057, hAPP(hAPP(c_List_Oappend(_u19055), _u19059), _u19061)) = hAPP(hAPP(c_List_Oappend(_u19055), _u19059), c_List_Oremove1(_u19055, _u19057, _u19061))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | hBOOL(hAPP(c_List_Odistinct(_u19065), _u19067)) )).
% 12.32/12.53 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | hBOOL(hAPP(c_List_Odistinct(_u19065), _u19069)) )).
% 12.32/12.53 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19065, tc_HOL_Obool)), hAPP(c_List_Oset(_u19065), _u19067)), hAPP(c_List_Oset(_u19065), _u19069)) = c_Orderings_Obot__class_Obot(tc_fun(_u19065, tc_HOL_Obool))) )).
% 12.32/12.53 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19066), _u19068)) | ~hBOOL(hAPP(c_List_Odistinct(_u19066), _u19070)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19066, tc_HOL_Obool)), hAPP(c_List_Oset(_u19066), _u19068)), hAPP(c_List_Oset(_u19066), _u19070)) != c_Orderings_Obot__class_Obot(tc_fun(_u19066, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19066), hAPP(hAPP(c_List_Oappend(_u19066), _u19068), _u19070))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19077)), _u19079))) | ( hAPP(hAPP(c_List_Onth(_u19077), hAPP(hAPP(c_List_Oappend(_u19077), _u19079), _u19081)), _u19075) = hAPP(hAPP(c_List_Onth(_u19077), _u19079), _u19075)) )).
% 12.32/12.53 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19078)), _u19080))) | ( hAPP(hAPP(c_List_Onth(_u19078), hAPP(hAPP(c_List_Oappend(_u19078), _u19080), _u19082)), _u19076) = hAPP(hAPP(c_List_Onth(_u19078), _u19082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19078)), _u19080)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19088), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19090)), _u19092))) | ( hAPP(hAPP(c_List_Olist__update(_u19090, hAPP(hAPP(c_List_Oappend(_u19090), _u19092), _u19094)), _u19088), _u19096) = hAPP(hAPP(c_List_Oappend(_u19090), hAPP(hAPP(c_List_Olist__update(_u19090, _u19092), _u19088), _u19096)), _u19094)) )).
% 12.32/12.53 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19089), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19091)), _u19093))) | ( hAPP(hAPP(c_List_Olist__update(_u19091, hAPP(hAPP(c_List_Oappend(_u19091), _u19093), _u19095)), _u19089), _u19097) = hAPP(hAPP(c_List_Oappend(_u19091), _u19093), hAPP(hAPP(c_List_Olist__update(_u19091, _u19095), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19089), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19091)), _u19093))), _u19097))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19098), tc_List_Olist(_u19098))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19098), tc_List_Olist(_u19098)), _u19099), c_List_Olist_ONil(_u19098))), c_List_Olexord(_u19098, _u19100))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u19101, hAPP(hAPP(c_List_Oappend(_u19101), _u19102), _u19103), _u19104) = hAPP(hAPP(c_List_Oappend(_u19101), c_List_Osublist(_u19101, _u19102, _u19104)), c_List_Osublist(_u19101, _u19103, 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(_u19101)), _u19102)))), _u19104))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__lex-1, axiom, ( ~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)), _u19111), _u19113)), c_List_Olex(_u19109, _u19115))) | 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)), _u19111), _u19113)), c_List_Olexord(_u19109, _u19115))) )).
% 12.32/12.53 cnf(fact_lexord__lex-2, axiom, ( ~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)), _u19111), _u19113)), c_List_Olex(_u19109, _u19115))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19109)), _u19111) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19109)), _u19113)) )).
% 12.32/12.53 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19110), tc_List_Olist(_u19110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19110), tc_List_Olist(_u19110)), _u19112), _u19114)), c_List_Olexord(_u19110, _u19116))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19110)), _u19112) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19110)), _u19114)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19110), tc_List_Olist(_u19110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19110), tc_List_Olist(_u19110)), _u19112), _u19114)), c_List_Olex(_u19110, _u19116))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__append1 ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19117)), _u19118)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19119)), _u19120))) | ( c_Map_Omap__upds(_u19117, _u19119, _u19121, hAPP(hAPP(c_List_Oappend(_u19117), _u19118), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19122), c_List_Olist_ONil(_u19117))), _u19120) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19117, tc_Option_Ooption(_u19119)), c_Map_Omap__upds(_u19117, _u19119, _u19121, _u19118, _u19120)), _u19122), hAPP(c_Option_Ooption_OSome(_u19119), hAPP(hAPP(c_List_Onth(_u19119), _u19120), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19117)), _u19118))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u19135, _u19133, _u19131, _u19129)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133)))) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | ( hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19131) = hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19133)) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19129, _u19129)), hAPP(hAPP(c_Product__Type_OPair(_u19129, _u19129), hAPP(hAPP(c_List_Onth(_u19129), _u19131), skolem472(_u19135, _u19133, _u19131, _u19129))), hAPP(hAPP(c_List_Onth(_u19129), _u19133), skolem472(_u19135, _u19133, _u19131, _u19129)))), _u19135)) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u19135, _u19133, _u19131, _u19129)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133)))) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | ( hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19131) = hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19133)) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19129, _u19129)), hAPP(hAPP(c_Product__Type_OPair(_u19129, _u19129), hAPP(hAPP(c_List_Onth(_u19129), _u19131), skolem472(_u19135, _u19133, _u19131, _u19129))), hAPP(hAPP(c_List_Onth(_u19129), _u19133), skolem472(_u19135, _u19133, _u19131, _u19129)))), _u19135)) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19130), tc_List_Olist(_u19130))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19130), tc_List_Olist(_u19130)), _u19132), _u19134)), c_List_Olexord(_u19130, _u19136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19134))) | ( hAPP(hAPP(c_List_Otake(_u19130), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), _u19134) != _u19132) )).
% 12.32/12.53 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19130), tc_List_Olist(_u19130))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19130), tc_List_Olist(_u19130)), _u19132), _u19134)), c_List_Olexord(_u19130, _u19136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19124), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19134)))) | ( hAPP(hAPP(c_List_Otake(_u19130), _u19124), _u19132) != hAPP(hAPP(c_List_Otake(_u19130), _u19124), _u19134)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19130, _u19130)), hAPP(hAPP(c_Product__Type_OPair(_u19130, _u19130), hAPP(hAPP(c_List_Onth(_u19130), _u19132), _u19124)), hAPP(hAPP(c_List_Onth(_u19130), _u19134), _u19124))), _u19136)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19137), _u19138), hAPP(hAPP(c_List_Oappend(_u19137), _u19139), _u19140)) = hAPP(hAPP(c_List_Oappend(_u19137), hAPP(hAPP(c_List_Otake(_u19137), _u19138), _u19139)), hAPP(hAPP(c_List_Otake(_u19137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19137)), _u19139))), _u19140))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fun__upds__append__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fun__upds__append__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19141)), _u19142) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19143)), _u19144)) | ( c_Map_Omap__upds(_u19141, _u19143, _u19145, hAPP(hAPP(c_List_Oappend(_u19141), _u19142), _u19146), _u19144) = c_Map_Omap__upds(_u19141, _u19143, _u19145, _u19142, _u19144)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fun__upds__append2__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fun__upds__append2__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19148) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19149)), _u19150)) | ( c_Map_Omap__upds(_u19147, _u19149, _u19151, _u19148, hAPP(hAPP(c_List_Oappend(_u19149), _u19150), _u19152)) = c_Map_Omap__upds(_u19147, _u19149, _u19151, _u19148, _u19150)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19153), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19154) = c_List_Olist_ONil(_u19153)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19158), _u19160), _u19162) != c_List_Olist_ONil(_u19158)) | ( _u19160 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19162 = c_List_Olist_ONil(_u19158)) )).
% 12.32/12.53 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19159), _u19161), _u19163) = c_List_Olist_ONil(_u19159)) | ( _u19161 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19159), _u19161), _u19163) = c_List_Olist_ONil(_u19159)) | ( _u19163 != c_List_Olist_ONil(_u19159)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19164), _u19165), c_List_Olist_ONil(_u19164)) = c_List_Olist_ONil(_u19164)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__Nil1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__Nil1-1, axiom, ( ( c_Map_Omap__upds(_u19166, _u19167, _u19168, c_List_Olist_ONil(_u19166), _u19169) = _u19168) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__Nil2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__Nil2-1, axiom, ( ( c_Map_Omap__upds(_u19170, _u19171, _u19172, _u19173, c_List_Olist_ONil(_u19171)) = _u19172) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u19174, _u19175, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u19176)) = hAPP(hAPP(c_List_Otake(_u19174), _u19176), _u19175)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u19177, _u19178)), _u19179), hAPP(hAPP(c_List_Ozip(_u19177, _u19178), _u19180), _u19181)) = hAPP(hAPP(c_List_Ozip(_u19177, _u19178), hAPP(hAPP(c_List_Otake(_u19177), _u19179), _u19180)), hAPP(hAPP(c_List_Otake(_u19178), _u19179), _u19181))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19182), _u19183), hAPP(hAPP(c_List_Otake(_u19182), _u19184), _u19185)) = hAPP(hAPP(c_List_Otake(_u19182), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19183), _u19184)), _u19185)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__add__upds ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__add__upds-1, axiom, ( ( c_Map_Omap__add(_u19186, _u19187, _u19188, c_Map_Omap__upds(_u19186, _u19187, _u19189, _u19190, _u19191)) = c_Map_Omap__upds(_u19186, _u19187, c_Map_Omap__add(_u19186, _u19187, _u19188, _u19189), _u19190, _u19191)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19192), _u19193)) | hBOOL(hAPP(c_List_Odistinct(_u19192), hAPP(hAPP(c_List_Otake(_u19192), _u19194), _u19193))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19195, tc_HOL_Obool)), hAPP(c_List_Oset(_u19195), hAPP(hAPP(c_List_Otake(_u19195), _u19196), _u19197))), hAPP(c_List_Oset(_u19195), _u19197))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), _u19199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19200, tc_HOL_Obool)), hAPP(c_List_Oset(_u19200), hAPP(hAPP(c_List_Otake(_u19200), _u19198), _u19201))), hAPP(c_List_Oset(_u19200), hAPP(hAPP(c_List_Otake(_u19200), _u19199), _u19201)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__apply__nontin ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__apply__nontin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19202), _u19203), hAPP(c_List_Oset(_u19202), _u19204))) | ( hAPP(c_Map_Omap__upds(_u19202, _u19205, _u19206, _u19204, _u19207), _u19203) = hAPP(_u19206, _u19203)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19208), _u19209), hAPP(c_List_Oset(_u19208), hAPP(hAPP(c_List_Otake(_u19208), _u19210), _u19211)))) | hBOOL(hAPP(hAPP(c_member(_u19208), _u19209), hAPP(c_List_Oset(_u19208), _u19211))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19212), _u19213), hAPP(hAPP(c_List_Omap(_u19214, _u19212), _u19215), _u19216)) = hAPP(hAPP(c_List_Omap(_u19214, _u19212), _u19215), hAPP(hAPP(c_List_Otake(_u19214), _u19213), _u19216))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19217), hAPP(c_Nat_OSuc, _u19218)), hAPP(hAPP(c_List_Olist_OCons(_u19217), _u19219), _u19220)) = hAPP(hAPP(c_List_Olist_OCons(_u19217), _u19219), hAPP(hAPP(c_List_Otake(_u19217), _u19218), _u19220))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19221), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19221), _u19222), _u19223)) = hAPP(hAPP(c_List_Olist_OCons(_u19221), _u19222), c_List_Olist_ONil(_u19221))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upd__upds__conv__if ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upd__upds__conv__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19231), _u19233), hAPP(c_List_Oset(_u19231), hAPP(hAPP(c_List_Otake(_u19231), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19235)), _u19237)), _u19239)))) | ( c_Map_Omap__upds(_u19231, _u19235, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19231, tc_Option_Ooption(_u19235)), _u19241), _u19233), hAPP(c_Option_Ooption_OSome(_u19235), _u19243)), _u19239, _u19237) = c_Map_Omap__upds(_u19231, _u19235, _u19241, _u19239, _u19237)) )).
% 12.32/12.53 cnf(fact_map__upd__upds__conv__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19232), _u19234), hAPP(c_List_Oset(_u19232), hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19236)), _u19238)), _u19240)))) | ( c_Map_Omap__upds(_u19232, _u19236, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19232, tc_Option_Ooption(_u19236)), _u19242), _u19234), hAPP(c_Option_Ooption_OSome(_u19236), _u19244)), _u19240, _u19238) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19232, tc_Option_Ooption(_u19236)), c_Map_Omap__upds(_u19232, _u19236, _u19242, _u19240, _u19238)), _u19234), hAPP(c_Option_Ooption_OSome(_u19236), _u19244))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_dom__map__upds ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_dom__map__upds-1, axiom, ( ( c_Map_Odom(_u19245, _u19246, c_Map_Omap__upds(_u19245, _u19246, _u19247, _u19248, _u19249)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19245, tc_HOL_Obool)), hAPP(c_List_Oset(_u19245), hAPP(hAPP(c_List_Otake(_u19245), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19246)), _u19249)), _u19248))), c_Map_Odom(_u19245, _u19246, _u19247))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__all ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19250)), _u19251)), _u19252)) | ( hAPP(hAPP(c_List_Otake(_u19250), _u19252), _u19251) = _u19251) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19253)), hAPP(hAPP(c_List_Otake(_u19253), _u19254), _u19255)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19253)), _u19255)), _u19254)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19256), _u19257)) | ( hAPP(hAPP(c_List_Onth(_u19258), hAPP(hAPP(c_List_Otake(_u19258), _u19257), _u19259)), _u19256) = hAPP(hAPP(c_List_Onth(_u19258), _u19259), _u19256)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__Cons-1, axiom, ( ( c_Map_Omap__upds(_u19260, _u19261, _u19262, hAPP(hAPP(c_List_Olist_OCons(_u19260), _u19263), _u19264), hAPP(hAPP(c_List_Olist_OCons(_u19261), _u19265), _u19266)) = c_Map_Omap__upds(_u19260, _u19261, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19260, tc_Option_Ooption(_u19261)), _u19262), _u19263), hAPP(c_Option_Ooption_OSome(_u19261), _u19265)), _u19264, _u19266)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19267), _u19268), hAPP(hAPP(c_List_Olist_OCons(_u19267), _u19269), _u19270)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19267), c_List_Olist_ONil(_u19267), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19267), tc_List_Olist(_u19267), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u19267), _u19269)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19267), tc_List_Olist(_u19267)), c_List_Otake(_u19267)), _u19270)), _u19268)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Cons_H-1, axiom, ( ( _u19275 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19277), _u19275), hAPP(hAPP(c_List_Olist_OCons(_u19277), _u19279), _u19281)) = c_List_Olist_ONil(_u19277)) )).
% 12.32/12.53 cnf(fact_take__Cons_H-2, axiom, ( ( _u19276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19278), _u19276), hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), _u19282)) = hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), hAPP(hAPP(c_List_Otake(_u19278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19276), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19282))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__list__update2__drop ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19283)), _u19284)), _u19285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19286)), _u19287))) | ( c_Map_Omap__upds(_u19283, _u19286, _u19288, _u19284, hAPP(hAPP(c_List_Olist__update(_u19286, _u19287), _u19285), _u19289)) = c_Map_Omap__upds(_u19283, _u19286, _u19288, _u19284, _u19287)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__twist ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__twist-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19290), _u19291), hAPP(c_List_Oset(_u19290), _u19292))) | ( c_Map_Omap__upds(_u19290, _u19293, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19290, tc_Option_Ooption(_u19293)), _u19294), _u19291), hAPP(c_Option_Ooption_OSome(_u19293), _u19295)), _u19292, _u19296) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19290, tc_Option_Ooption(_u19293)), c_Map_Omap__upds(_u19290, _u19293, _u19294, _u19292, _u19296)), _u19291), hAPP(c_Option_Ooption_OSome(_u19293), _u19295))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19301) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19303), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19301)), hAPP(hAPP(c_List_Olist_OCons(_u19303), _u19305), _u19307)) = c_List_Olist_ONil(_u19303)) )).
% 12.32/12.53 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19304), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302)), hAPP(hAPP(c_List_Olist_OCons(_u19304), _u19306), _u19308)) = hAPP(hAPP(c_List_Olist_OCons(_u19304), _u19306), hAPP(hAPP(c_List_Otake(_u19304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19308))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_restrict__map__upds ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_restrict__map__upds-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19309)), _u19310) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19311)), _u19312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19309, tc_HOL_Obool)), hAPP(c_List_Oset(_u19309), _u19310)), _u19313)) | ( c_Map_Orestrict__map(_u19309, _u19311, c_Map_Omap__upds(_u19309, _u19311, _u19314, _u19310, _u19312), _u19313) = c_Map_Omap__upds(_u19309, _u19311, c_Map_Orestrict__map(_u19309, _u19311, _u19314, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19309, tc_HOL_Obool)), _u19313), hAPP(c_List_Oset(_u19309), _u19310))), _u19310, _u19312)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19315), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19316)), _u19317))) | ( hAPP(hAPP(c_List_Otake(_u19316), hAPP(c_Nat_OSuc, _u19315)), _u19317) = hAPP(hAPP(c_List_Oappend(_u19316), hAPP(hAPP(c_List_Otake(_u19316), _u19315), _u19317)), hAPP(hAPP(c_List_Olist_OCons(_u19316), hAPP(hAPP(c_List_Onth(_u19316), _u19317), _u19315)), c_List_Olist_ONil(_u19316)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), _u19326), _u19330)), c_List_Olistrel1(_u19324, _u19334))) | ( _u19326 = _u19330) )).
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), _u19326), _u19330)), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19324, _u19324)), hAPP(hAPP(c_Product__Type_OPair(_u19324, _u19324), _u19328), _u19332)), _u19334)) )).
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | ( _u19328 = _u19332) | ( _u19326 = _u19330) )).
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | ( _u19328 = _u19332) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19324, _u19324)), hAPP(hAPP(c_Product__Type_OPair(_u19324, _u19324), _u19328), _u19332)), _u19334)) )).
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), hAPP(hAPP(c_List_Oappend(_u19325), _u19327), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19329), c_List_Olist_ONil(_u19325)))), hAPP(hAPP(c_List_Oappend(_u19325), _u19331), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19333), c_List_Olist_ONil(_u19325))))), c_List_Olistrel1(_u19325, _u19335))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), _u19327), _u19331)), c_List_Olistrel1(_u19325, _u19335))) | ( _u19329 != _u19333) )).
% 12.32/12.53 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), hAPP(hAPP(c_List_Oappend(_u19325), _u19327), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19329), c_List_Olist_ONil(_u19325)))), hAPP(hAPP(c_List_Oappend(_u19325), _u19331), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19333), c_List_Olist_ONil(_u19325))))), c_List_Olistrel1(_u19325, _u19335))) | ( _u19327 != _u19331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19325, _u19325)), hAPP(hAPP(c_Product__Type_OPair(_u19325, _u19325), _u19329), _u19333)), _u19335)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19337), tc_List_Olist(_u19337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19337), tc_List_Olist(_u19337)), hAPP(hAPP(c_List_Oappend(_u19337), _u19338), _u19339)), hAPP(hAPP(c_List_Oappend(_u19337), _u19338), _u19340))), c_List_Olexord(_u19337, _u19341))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19337, _u19337)), hAPP(hAPP(c_Product__Type_OPair(_u19337, _u19337), skolem473(_u19341, _u19340, _u19339, _u19338, _u19337)), skolem473(_u19341, _u19340, _u19339, _u19338, _u19337))), _u19341)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19337), tc_List_Olist(_u19337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19337), tc_List_Olist(_u19337)), _u19339), _u19340)), c_List_Olexord(_u19337, _u19341))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19342), _u19343), c_Wellfounded_Oacc(_u19342, _u19344))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19342)), _u19345), c_Wellfounded_Oacc(tc_List_Olist(_u19342), c_List_Olistrel1(_u19342, _u19344)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19342)), hAPP(hAPP(c_List_Olist_OCons(_u19342), _u19343), _u19345)), c_Wellfounded_Oacc(tc_List_Olist(_u19342), c_List_Olistrel1(_u19342, _u19344)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19346, _u19346), tc_HOL_Obool)), _u19347), _u19348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19346), tc_List_Olist(_u19346)), tc_HOL_Obool)), c_List_Olistrel1(_u19346, _u19347)), c_List_Olistrel1(_u19346, _u19348))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19349), tc_List_Olist(_u19349)), tc_HOL_Obool)), c_List_Olistrel1(_u19349, c_Transitive__Closure_Ortrancl(_u19349, _u19350))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19349), c_List_Olistrel1(_u19349, _u19350)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u19351, hAPP(c_Relation_Oconverse(_u19351, _u19351), _u19352)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19351), tc_List_Olist(_u19351)), c_List_Olistrel1(_u19351, _u19352))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u19353, c_Transitive__Closure_Ortrancl(_u19353, _u19354)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19353), c_List_Olistrel1(_u19353, _u19354))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19355), tc_List_Olist(_u19355)), tc_HOL_Obool)), c_List_Olistrel(_u19355, _u19356)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19355), c_List_Olistrel1(_u19355, _u19356)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19357), tc_List_Olist(_u19357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19357), tc_List_Olist(_u19357)), _u19358), _u19359)), c_List_Olistrel1(_u19357, _u19360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19357), tc_List_Olist(_u19357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19357), tc_List_Olist(_u19357)), hAPP(hAPP(c_List_Olist_OCons(_u19357), _u19361), _u19358)), hAPP(hAPP(c_List_Olist_OCons(_u19357), _u19361), _u19359))), c_List_Olistrel1(_u19357, _u19360))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19362), tc_List_Olist(_u19362))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19362), tc_List_Olist(_u19362)), _u19363), _u19364)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19362), c_List_Olistrel1(_u19362, _u19365)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19362), tc_List_Olist(_u19362))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19362), tc_List_Olist(_u19362)), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19363)), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19364))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19362), c_List_Olistrel1(_u19362, _u19365)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19367), tc_List_Olist(_u19367))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19367), tc_List_Olist(_u19367)), _u19368), _u19369)), c_List_Olistrel1(_u19367, _u19370))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19367)), _u19368) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19367)), _u19369)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19371), tc_List_Olist(_u19371))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19371), tc_List_Olist(_u19371)), _u19372), _u19373)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19371), c_List_Olistrel1(_u19371, _u19374)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19371)), _u19372) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19371)), _u19373)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19375), tc_List_Olist(_u19375))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19375), tc_List_Olist(_u19375)), c_List_Olist_ONil(_u19375)), _u19376)), c_List_Olistrel1(_u19375, _u19377))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19378), tc_List_Olist(_u19378))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19378), tc_List_Olist(_u19378)), _u19379), c_List_Olist_ONil(_u19378))), c_List_Olistrel1(_u19378, _u19380))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), hAPP(hAPP(c_List_Oappend(_u19381), _u19382), _u19385)), hAPP(hAPP(c_List_Oappend(_u19381), _u19383), _u19386))), c_List_Olistrel1(_u19381, _u19384))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), _u19382), _u19383)), c_List_Olistrel1(_u19381, _u19384))) | ( _u19385 != _u19386) )).
% 12.32/12.53 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), hAPP(hAPP(c_List_Oappend(_u19381), _u19382), _u19385)), hAPP(hAPP(c_List_Oappend(_u19381), _u19383), _u19386))), c_List_Olistrel1(_u19381, _u19384))) | ( _u19382 != _u19383) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), _u19385), _u19386)), c_List_Olistrel1(_u19381, _u19384))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19391), tc_List_Olist(_u19391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), _u19393), _u19395)), c_List_Olistrel1(_u19391, hAPP(c_Relation_Oconverse(_u19391, _u19391), _u19397)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19391), tc_List_Olist(_u19391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), _u19393), _u19395)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), c_List_Olistrel1(_u19391, _u19397)))) )).
% 12.32/12.53 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19392), tc_List_Olist(_u19392))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), _u19394), _u19396)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), c_List_Olistrel1(_u19392, _u19398)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19392), tc_List_Olist(_u19392))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), _u19394), _u19396)), c_List_Olistrel1(_u19392, hAPP(c_Relation_Oconverse(_u19392, _u19392), _u19398)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19399), tc_List_Olist(_u19399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19399), tc_List_Olist(_u19399)), _u19400), _u19401)), c_List_Olistrel(_u19399, _u19402))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19399), tc_List_Olist(_u19399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19399), tc_List_Olist(_u19399)), _u19400), _u19401)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19399), c_List_Olistrel1(_u19399, _u19402)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19403), tc_List_Olist(_u19403))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19403), tc_List_Olist(_u19403)), _u19404), _u19405)), c_List_Olistrel1(_u19403, _u19406))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19403), tc_List_Olist(_u19403))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19403), tc_List_Olist(_u19403)), _u19404), _u19405)), c_List_Olistrel(_u19403, c_Transitive__Closure_Ortrancl(_u19403, _u19406)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19413, _u19413)), hAPP(hAPP(c_Product__Type_OPair(_u19413, _u19413), _u19415), _u19419)), _u19423)) | ( _u19415 = _u19419) )).
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19413, _u19413)), hAPP(hAPP(c_Product__Type_OPair(_u19413, _u19413), _u19415), _u19419)), _u19423)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), _u19417), _u19421)), c_List_Olistrel1(_u19413, _u19423))) )).
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | ( _u19417 = _u19421) | ( _u19415 = _u19419) )).
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | ( _u19417 = _u19421) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), _u19417), _u19421)), c_List_Olistrel1(_u19413, _u19423))) )).
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19416), _u19418)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19420), _u19422))), c_List_Olistrel1(_u19414, _u19424))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19414, _u19414)), hAPP(hAPP(c_Product__Type_OPair(_u19414, _u19414), _u19416), _u19420)), _u19424)) | ( _u19418 != _u19422) )).
% 12.32/12.53 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19416), _u19418)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19420), _u19422))), c_List_Olistrel1(_u19414, _u19424))) | ( _u19416 != _u19420) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), _u19418), _u19422)), c_List_Olistrel1(_u19414, _u19424))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19425, _u19425)), hAPP(hAPP(c_Product__Type_OPair(_u19425, _u19425), _u19426), _u19427)), _u19428)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19425), tc_List_Olist(_u19425))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19425), tc_List_Olist(_u19425)), hAPP(hAPP(c_List_Olist_OCons(_u19425), _u19426), _u19429)), hAPP(hAPP(c_List_Olist_OCons(_u19425), _u19427), _u19429))), c_List_Olistrel1(_u19425, _u19428))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19430, _u19430), tc_HOL_Obool)), _u19431), _u19432)) | ~c_Relation_Orefl__on(_u19430, c_Orderings_Otop__class_Otop(tc_fun(_u19430, tc_HOL_Obool)), _u19432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19430), tc_List_Olist(_u19430)), tc_HOL_Obool)), c_List_Olistrel1(_u19430, _u19431)), c_List_Olistrel(_u19430, _u19432))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19433, _u19433)), hAPP(hAPP(c_Product__Type_OPair(_u19433, _u19433), _u19434), _u19435)), _u19436)) | ( _u19437 != hAPP(hAPP(c_List_Oappend(_u19433), _u19438), hAPP(hAPP(c_List_Olist_OCons(_u19433), _u19434), _u19439))) | ( _u19440 != hAPP(hAPP(c_List_Oappend(_u19433), _u19438), hAPP(hAPP(c_List_Olist_OCons(_u19433), _u19435), _u19439))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19433), tc_List_Olist(_u19433))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19433), tc_List_Olist(_u19433)), _u19437), _u19440)), c_List_Olistrel1(_u19433, _u19436))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19441, _u19441)), hAPP(hAPP(c_Product__Type_OPair(_u19441, _u19441), _u19442), _u19443)), c_Transitive__Closure_Ortrancl(_u19441, _u19444))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19441), tc_List_Olist(_u19441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19441), tc_List_Olist(_u19441)), _u19445), _u19446)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19441), c_List_Olistrel1(_u19441, _u19444)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19441), tc_List_Olist(_u19441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19441), tc_List_Olist(_u19441)), hAPP(hAPP(c_List_Olist_OCons(_u19441), _u19442), _u19445)), hAPP(hAPP(c_List_Olist_OCons(_u19441), _u19443), _u19446))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19441), c_List_Olistrel1(_u19441, _u19444)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19455, _u19455)), hAPP(hAPP(c_Product__Type_OPair(_u19455, _u19455), hAPP(hAPP(c_List_Onth(_u19455), _u19457), skolem475(_u19461, _u19459, _u19457, _u19455))), skolem474(_u19461, _u19459, _u19457, _u19455))), _u19461)) )).
% 12.32/12.53 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem475(_u19461, _u19459, _u19457, _u19455)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19455)), _u19457))) )).
% 12.32/12.53 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | ( _u19459 = hAPP(hAPP(c_List_Olist__update(_u19455, _u19457), skolem475(_u19461, _u19459, _u19457, _u19455)), skolem474(_u19461, _u19459, _u19457, _u19455))) )).
% 12.32/12.53 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19456, _u19456)), hAPP(hAPP(c_Product__Type_OPair(_u19456, _u19456), hAPP(hAPP(c_List_Onth(_u19456), _u19458), _u19449)), _u19450)), _u19462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19456)), _u19458))) | ( _u19460 != hAPP(hAPP(c_List_Olist__update(_u19456, _u19458), _u19449), _u19450)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19456), tc_List_Olist(_u19456))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19456), tc_List_Olist(_u19456)), _u19458), _u19460)), c_List_Olistrel1(_u19456, _u19462))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19467, _u19467)), hAPP(hAPP(c_Product__Type_OPair(_u19467, _u19467), skolem476(_u19470, _u19469, _u19468, _u19467)), skolem477(_u19470, _u19469, _u19468, _u19467))), _u19470)) )).
% 12.32/12.53 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | ( _u19468 = hAPP(hAPP(c_List_Oappend(_u19467), skolem478(_u19470, _u19469, _u19468, _u19467)), hAPP(hAPP(c_List_Olist_OCons(_u19467), skolem476(_u19470, _u19469, _u19468, _u19467)), skolem479(_u19470, _u19469, _u19468, _u19467)))) )).
% 12.32/12.53 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | ( _u19469 = hAPP(hAPP(c_List_Oappend(_u19467), skolem478(_u19470, _u19469, _u19468, _u19467)), hAPP(hAPP(c_List_Olist_OCons(_u19467), skolem477(_u19470, _u19469, _u19468, _u19467)), skolem479(_u19470, _u19469, _u19468, _u19467)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u19471), _u19472) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19471), _u19471, c_List_Olist_ONil(_u19471), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19471), tc_fun(tc_List_Olist(_u19471), tc_List_Olist(_u19471)), _u19471), hAPP(c_COMBC(tc_List_Olist(_u19471), tc_List_Olist(_u19471), tc_List_Olist(_u19471)), c_List_Oappend(_u19471))), hAPP(hAPP(c_COMBC(_u19471, tc_List_Olist(_u19471), tc_List_Olist(_u19471)), c_List_Olist_OCons(_u19471)), c_List_Olist_ONil(_u19471)))), _u19472)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19473), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19475))) | ( hAPP(hAPP(c_List_Olist__update(_u19474, _u19475), _u19473), _u19476) = hAPP(hAPP(c_List_Oappend(_u19474), hAPP(hAPP(c_List_Otake(_u19474), _u19473), _u19475)), hAPP(hAPP(c_List_Olist_OCons(_u19474), _u19476), hAPP(hAPP(c_List_Odrop(_u19474), hAPP(c_Nat_OSuc, _u19473)), _u19475)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19477), _u19478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19479, tc_HOL_Obool)), hAPP(c_List_Oset(_u19479), hAPP(hAPP(c_List_Odrop(_u19479), _u19478), _u19480))), hAPP(c_List_Oset(_u19479), hAPP(hAPP(c_List_Odrop(_u19479), _u19477), _u19480)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19484), _u19486), _u19488) != c_List_Olist_ONil(_u19484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19484)), _u19488)), _u19486)) )).
% 12.32/12.53 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(_u19485)), _u19489)), _u19487)) | ( hAPP(hAPP(c_List_Odrop(_u19485), _u19487), _u19489) = c_List_Olist_ONil(_u19485)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19490)), _u19491)), _u19492)) | ( hAPP(hAPP(c_List_Odrop(_u19490), _u19492), _u19491) = c_List_Olist_ONil(_u19490)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19493), _u19494), _u19495) != hAPP(hAPP(c_List_Olist_OCons(_u19493), _u19496), _u19497)) | ( hAPP(hAPP(c_List_Onth(_u19493), _u19495), _u19494) = _u19496) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19498)), hAPP(hAPP(c_List_Odrop(_u19498), _u19499), _u19500)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19498)), _u19500)), _u19499)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19501)), hAPP(c_List_Orotate1(_u19501), _u19502)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19501)), _u19502)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19503), hAPP(c_Nat_OSuc, _u19504)), hAPP(hAPP(c_List_Olist_OCons(_u19503), _u19505), _u19506)) = hAPP(hAPP(c_List_Odrop(_u19503), _u19504), _u19506)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19507), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19507), _u19508), _u19509)) = _u19509) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19510), _u19511), hAPP(hAPP(c_List_Omap(_u19512, _u19510), _u19513), _u19514)) = hAPP(hAPP(c_List_Omap(_u19512, _u19510), _u19513), hAPP(hAPP(c_List_Odrop(_u19512), _u19511), _u19514))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19515), _u19516), hAPP(c_List_Oset(_u19515), hAPP(hAPP(c_List_Odrop(_u19515), _u19517), _u19518)))) | hBOOL(hAPP(hAPP(c_member(_u19515), _u19516), hAPP(c_List_Oset(_u19515), _u19518))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u19519), hAPP(c_List_Orotate1(_u19519), _u19520)) = hAPP(c_List_Oset(_u19519), _u19520)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19521, tc_HOL_Obool)), hAPP(c_List_Oset(_u19521), hAPP(hAPP(c_List_Odrop(_u19521), _u19522), _u19523))), hAPP(c_List_Oset(_u19521), _u19523))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19524), _u19525)) | hBOOL(hAPP(c_List_Odistinct(_u19524), hAPP(hAPP(c_List_Odrop(_u19524), _u19526), _u19525))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19529), hAPP(c_List_Orotate1(_u19529), _u19531))) | hBOOL(hAPP(c_List_Odistinct(_u19529), _u19531)) )).
% 12.32/12.53 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19530), _u19532)) | hBOOL(hAPP(c_List_Odistinct(_u19530), hAPP(c_List_Orotate1(_u19530), _u19532))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19533), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19534) = _u19534) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19535), _u19536), hAPP(hAPP(c_List_Odrop(_u19535), _u19537), _u19538)) = hAPP(hAPP(c_List_Odrop(_u19535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19536), _u19537)), _u19538)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19539, _u19540)), _u19541), hAPP(hAPP(c_List_Ozip(_u19539, _u19540), _u19542), _u19543)) = hAPP(hAPP(c_List_Ozip(_u19539, _u19540), hAPP(hAPP(c_List_Odrop(_u19539), _u19541), _u19542)), hAPP(hAPP(c_List_Odrop(_u19540), _u19541), _u19543))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u19546), _u19548) != c_List_Olist_ONil(_u19546)) | ( _u19548 = c_List_Olist_ONil(_u19546)) )).
% 12.32/12.53 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u19549 != c_List_Olist_ONil(_u19547)) | ( hAPP(c_List_Orotate1(_u19547), _u19549) = c_List_Olist_ONil(_u19547)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19550), _u19551), c_List_Olist_ONil(_u19550)) = c_List_Olist_ONil(_u19550)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19552), _u19553), hAPP(hAPP(c_List_Oappend(_u19552), _u19554), _u19555)) = hAPP(hAPP(c_List_Oappend(_u19552), hAPP(hAPP(c_List_Odrop(_u19552), _u19553), _u19554)), hAPP(hAPP(c_List_Odrop(_u19552), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19552)), _u19554))), _u19555))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19556), _u19557), hAPP(hAPP(c_List_Odrop(_u19556), _u19558), _u19559)) = hAPP(hAPP(c_List_Odrop(_u19556), _u19558), hAPP(hAPP(c_List_Otake(_u19556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19557), _u19558)), _u19559))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19560), _u19561), hAPP(hAPP(c_List_Otake(_u19560), _u19562), _u19563)) = hAPP(hAPP(c_List_Otake(_u19560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19562), _u19561)), hAPP(hAPP(c_List_Odrop(_u19560), _u19561), _u19563))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19564), hAPP(hAPP(c_List_Otake(_u19564), _u19565), _u19566)), hAPP(hAPP(c_List_Odrop(_u19564), _u19565), _u19566)) = _u19566) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19571), _u19573), _u19575) != _u19577) | ( _u19573 = hAPP(hAPP(c_List_Otake(_u19571), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19571)), _u19573)), _u19577)) )).
% 12.32/12.53 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19571), _u19573), _u19575) != _u19577) | ( _u19575 = hAPP(hAPP(c_List_Odrop(_u19571), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19571)), _u19573)), _u19577)) )).
% 12.32/12.53 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u19574 != hAPP(hAPP(c_List_Otake(_u19572), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19572)), _u19574)), _u19578)) | ( _u19576 != hAPP(hAPP(c_List_Odrop(_u19572), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19572)), _u19574)), _u19578)) | ( hAPP(hAPP(c_List_Oappend(_u19572), _u19574), _u19576) = _u19578) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19579), _u19580), hAPP(hAPP(c_List_Olist_OCons(_u19579), _u19581), _u19582)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19579), hAPP(hAPP(c_List_Olist_OCons(_u19579), _u19581), _u19582), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19579), tc_List_Olist(_u19579)), c_List_Odrop(_u19579)), _u19582), _u19580)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Cons_H-1, axiom, ( ( _u19587 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19589), _u19587), hAPP(hAPP(c_List_Olist_OCons(_u19589), _u19591), _u19593)) = hAPP(hAPP(c_List_Olist_OCons(_u19589), _u19591), _u19593)) )).
% 12.32/12.53 cnf(fact_drop__Cons_H-2, axiom, ( ( _u19588 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19590), _u19588), hAPP(hAPP(c_List_Olist_OCons(_u19590), _u19592), _u19594)) = hAPP(hAPP(c_List_Odrop(_u19590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19588), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19594)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 12.32/12.53 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), _u19595), _u19596)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19597)), _u19598))) | ( hAPP(hAPP(c_List_Onth(_u19597), hAPP(hAPP(c_List_Odrop(_u19597), _u19595), _u19598)), _u19596) = hAPP(hAPP(c_List_Onth(_u19597), _u19598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19595), _u19596))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( _u19606 = hAPP(hAPP(c_List_Otake(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), _u19610)) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( _u19608 = hAPP(hAPP(c_List_Oappend(_u19604), hAPP(hAPP(c_List_Odrop(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), _u19610)), _u19612)) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( hAPP(hAPP(c_List_Otake(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610)), _u19606) = _u19610) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( hAPP(hAPP(c_List_Oappend(_u19604), hAPP(hAPP(c_List_Odrop(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610)), _u19606)), _u19608) = _u19612) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611))) | ( hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607) != _u19611) | ( hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607)), _u19609) != _u19613) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | ( _u19607 != hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)) | ( _u19609 != hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)), _u19613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611))) )).
% 12.32/12.53 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | ( _u19607 != hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)) | ( _u19609 != hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)), _u19613)) | ( hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607) != _u19611) | ( hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607)), _u19609) != _u19613) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19614), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19615)), _u19616))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19615), hAPP(hAPP(c_List_Onth(_u19615), _u19616), _u19614)), hAPP(hAPP(c_List_Odrop(_u19615), hAPP(c_Nat_OSuc, _u19614)), _u19616)) = hAPP(hAPP(c_List_Odrop(_u19615), _u19614), _u19616)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u19617), c_List_Olist_ONil(_u19617)) = c_List_Olist_ONil(_u19617)) )).
% 12.32/12.53 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u19618), hAPP(hAPP(c_List_Olist_OCons(_u19618), _u19619), _u19620)) = hAPP(hAPP(c_List_Oappend(_u19618), _u19620), hAPP(hAPP(c_List_Olist_OCons(_u19618), _u19619), c_List_Olist_ONil(_u19618)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19625) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19627), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19625)), hAPP(hAPP(c_List_Olist_OCons(_u19627), _u19629), _u19631)) = hAPP(hAPP(c_List_Olist_OCons(_u19627), _u19629), _u19631)) )).
% 12.32/12.53 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19628), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626)), hAPP(hAPP(c_List_Olist_OCons(_u19628), _u19630), _u19632)) = hAPP(hAPP(c_List_Odrop(_u19628), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19632)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__add ( axiom ) converted to clauses:
% 12.32/12.53 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), _u19633), _u19634)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19635)), _u19636))) | ( hAPP(hAPP(c_List_Otake(_u19635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19633), _u19634)), _u19636) = hAPP(hAPP(c_List_Oappend(_u19635), hAPP(hAPP(c_List_Otake(_u19635), _u19633), _u19636)), hAPP(hAPP(c_List_Otake(_u19635), _u19634), hAPP(hAPP(c_List_Odrop(_u19635), _u19633), _u19636)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19637)), _u19638)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19637), _u19638) = _u19638) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19639, _u19640), hAPP(hAPP(c_List_Oappend(_u19639), _u19641), _u19642)), _u19643) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19639, _u19640)), hAPP(hAPP(c_List_Ozip(_u19639, _u19640), _u19641), hAPP(hAPP(c_List_Otake(_u19640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19639)), _u19641)), _u19643))), hAPP(hAPP(c_List_Ozip(_u19639, _u19640), _u19642), hAPP(hAPP(c_List_Odrop(_u19640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19639)), _u19641)), _u19643)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19644, _u19645), _u19646), hAPP(hAPP(c_List_Oappend(_u19645), _u19647), _u19648)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19644, _u19645)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), hAPP(hAPP(c_List_Otake(_u19644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)), _u19646)), _u19647)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), hAPP(hAPP(c_List_Odrop(_u19644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)), _u19646)), _u19648))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19649), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19650)), _u19651))) | ( _u19651 = hAPP(hAPP(c_List_Oappend(_u19650), hAPP(hAPP(c_List_Otake(_u19650), _u19649), _u19651)), hAPP(hAPP(c_List_Olist_OCons(_u19650), hAPP(hAPP(c_List_Onth(_u19650), _u19651), _u19649)), hAPP(hAPP(c_List_Odrop(_u19650), hAPP(c_Nat_OSuc, _u19649)), _u19651)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19652), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19653)), _u19654))) | ( hAPP(hAPP(c_List_Oappend(_u19653), hAPP(hAPP(c_List_Otake(_u19653), _u19652), _u19654)), hAPP(hAPP(c_List_Olist_OCons(_u19653), hAPP(c_List_Ohd(_u19653), hAPP(hAPP(c_List_Odrop(_u19653), _u19652), _u19654))), c_List_Olist_ONil(_u19653))) = hAPP(hAPP(c_List_Otake(_u19653), hAPP(c_Nat_OSuc, _u19652)), _u19654)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u19655 = c_List_Olist_ONil(_u19656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19657), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19656)), _u19655))) | ( hAPP(c_List_Ohd(_u19656), hAPP(hAPP(c_List_Odrop(_u19656), _u19657), _u19655)) = hAPP(hAPP(c_List_Onth(_u19656), _u19655), _u19657)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__map-1, axiom, ( ( _u19658 = c_List_Olist_ONil(_u19659)) | ( hAPP(c_List_Ohd(_u19660), hAPP(hAPP(c_List_Omap(_u19659, _u19660), _u19661), _u19658)) = hAPP(_u19661, hAPP(c_List_Ohd(_u19659), _u19658))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u19662), hAPP(hAPP(c_List_Olist_OCons(_u19662), _u19663), _u19664)) = _u19663) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__append-1, axiom, ( ( _u19668 != c_List_Olist_ONil(_u19670)) | ( hAPP(c_List_Ohd(_u19670), hAPP(hAPP(c_List_Oappend(_u19670), _u19668), _u19672)) = hAPP(c_List_Ohd(_u19670), _u19672)) )).
% 12.32/12.53 cnf(fact_hd__append-2, axiom, ( ( _u19669 = c_List_Olist_ONil(_u19671)) | ( hAPP(c_List_Ohd(_u19671), hAPP(hAPP(c_List_Oappend(_u19671), _u19669), _u19673)) = hAPP(c_List_Ohd(_u19671), _u19669)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__append2-1, axiom, ( ( _u19674 = c_List_Olist_ONil(_u19675)) | ( hAPP(c_List_Ohd(_u19675), hAPP(hAPP(c_List_Oappend(_u19675), _u19674), _u19676)) = hAPP(c_List_Ohd(_u19675), _u19674)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__in__set-1, axiom, ( ( _u19677 = c_List_Olist_ONil(_u19678)) | hBOOL(hAPP(hAPP(c_member(_u19678), hAPP(c_List_Ohd(_u19678), _u19677)), hAPP(c_List_Oset(_u19678), _u19677))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__conv__nth-1, axiom, ( ( _u19679 = c_List_Olist_ONil(_u19680)) | ( hAPP(c_List_Ohd(_u19680), _u19679) = hAPP(hAPP(c_List_Onth(_u19680), _u19679), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u19681 = c_List_Olist_ONil(_u19682)) | ( hAPP(c_List_Orotate1(_u19682), _u19681) = hAPP(hAPP(c_List_Oappend(_u19682), hAPP(c_List_Otl(_u19682), _u19681)), hAPP(hAPP(c_List_Olist_OCons(_u19682), hAPP(c_List_Ohd(_u19682), _u19681)), c_List_Olist_ONil(_u19682)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u19683 = c_List_Olist_ONil(_u19684)) | ( hAPP(c_List_Ohd(_u19684), hAPP(c_List_Orotate(_u19684, _u19685), _u19683)) = hAPP(hAPP(c_List_Onth(_u19684), _u19683), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19685, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19684)), _u19683)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u19686), hAPP(hAPP(c_List_Odrop(_u19686), _u19687), _u19688)) = hAPP(hAPP(c_List_Odrop(_u19686), _u19687), hAPP(c_List_Otl(_u19686), _u19688))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19689), _u19690), hAPP(c_List_Otl(_u19689), _u19691)) = hAPP(c_List_Otl(_u19689), hAPP(hAPP(c_List_Odrop(_u19689), _u19690), _u19691))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19692), hAPP(c_Nat_OSuc, _u19693)), _u19694) = hAPP(hAPP(c_List_Odrop(_u19692), _u19693), hAPP(c_List_Otl(_u19692), _u19694))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl__append2-1, axiom, ( ( _u19695 = c_List_Olist_ONil(_u19696)) | ( hAPP(c_List_Otl(_u19696), hAPP(hAPP(c_List_Oappend(_u19696), _u19695), _u19697)) = hAPP(hAPP(c_List_Oappend(_u19696), hAPP(c_List_Otl(_u19696), _u19695)), _u19697)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u19698, _u19699), _u19700) = hAPP(c_List_Orotate(_u19698, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19699, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19698)), _u19700))), _u19700)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19701)), hAPP(c_List_Orotate(_u19701, _u19702), _u19703)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19701)), _u19703)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u19704), hAPP(hAPP(c_List_Olist_OCons(_u19704), _u19705), _u19706)) = _u19706) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19707, _u19708), _u19709), hAPP(c_List_Otl(_u19707), _u19710)) = hAPP(c_List_Otl(_u19708), hAPP(hAPP(c_List_Omap(_u19707, _u19708), _u19709), _u19710))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u19711, _u19712), hAPP(hAPP(c_List_Omap(_u19713, _u19711), _u19714), _u19715)) = hAPP(hAPP(c_List_Omap(_u19713, _u19711), _u19714), hAPP(c_List_Orotate(_u19713, _u19712), _u19715))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u19716), hAPP(c_List_Orotate(_u19716, _u19717), _u19718)) = hAPP(c_List_Oset(_u19716), _u19718)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19719), _u19720)) | hBOOL(hAPP(c_List_Odistinct(_u19719), hAPP(c_List_Otl(_u19719), _u19720))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19724), hAPP(c_List_Orotate(_u19724, _u19726), _u19728))) | hBOOL(hAPP(c_List_Odistinct(_u19724), _u19728)) )).
% 12.32/12.53 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19725), _u19729)) | hBOOL(hAPP(c_List_Odistinct(_u19725), hAPP(c_List_Orotate(_u19725, _u19727), _u19729))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u19730, _u19731), hAPP(c_List_Orotate(_u19730, _u19732), _u19733)) = hAPP(c_List_Orotate(_u19730, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19731), _u19732)), _u19733)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u19737, _u19739), _u19741) != c_List_Olist_ONil(_u19737)) | ( _u19741 = c_List_Olist_ONil(_u19737)) )).
% 12.32/12.53 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u19742 != c_List_Olist_ONil(_u19738)) | ( hAPP(c_List_Orotate(_u19738, _u19740), _u19742) = c_List_Olist_ONil(_u19738)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u19743), c_List_Olist_ONil(_u19743)) = c_List_Olist_ONil(_u19743)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19744), _u19745), hAPP(c_List_Otl(_u19744), _u19746)) = hAPP(c_List_Otl(_u19744), hAPP(hAPP(c_List_Otake(_u19744), hAPP(c_Nat_OSuc, _u19745)), _u19746))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u19747, _u19748) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19747), tc_List_Olist(_u19747)), _u19748), c_List_Orotate1(_u19747))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u19749, hAPP(c_Nat_OSuc, _u19750)), _u19751) = hAPP(c_List_Orotate1(_u19749), hAPP(c_List_Orotate(_u19749, _u19750), _u19751))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u19752), hAPP(c_List_Orotate(_u19752, _u19753), _u19754)) = hAPP(c_List_Orotate(_u19752, _u19753), hAPP(c_List_Orotate1(_u19752), _u19754))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u19755), hAPP(hAPP(c_List_Oappend(_u19755), _u19756), _u19757)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19755), _u19755, hAPP(c_List_Otl(_u19755), _u19757), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19755), tc_List_Olist(_u19755)), _u19755), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19755), tc_List_Olist(_u19755), tc_List_Olist(_u19755)), c_List_Oappend(_u19755)), _u19757))), _u19756)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u19758, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19758))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u19759, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19760), _u19761)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19759), tc_List_Olist(_u19759), tc_List_Olist(_u19759), c_List_Orotate(_u19759, _u19760)), c_List_Orotate(_u19759, _u19761))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19762, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19763)), _u19764)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19763, _u19762), _u19764) = _u19764) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 12.32/12.53 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(_u19765)), _u19766)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19765, _u19767), _u19766) = _u19766) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19768)), hAPP(c_List_Otl(_u19768), _u19769)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19768)), _u19769)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u19770), hAPP(hAPP(c_List_Otake(_u19770), _u19771), _u19772)) = hAPP(hAPP(c_List_Otake(_u19770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19771), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19770), _u19772))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__Suc-1, axiom, ( ( _u19773 = c_List_Olist_ONil(_u19774)) | ( hAPP(hAPP(c_List_Otake(_u19774), hAPP(c_Nat_OSuc, _u19775)), _u19773) = hAPP(hAPP(c_List_Olist_OCons(_u19774), hAPP(c_List_Ohd(_u19774), _u19773)), hAPP(hAPP(c_List_Otake(_u19774), _u19775), hAPP(c_List_Otl(_u19774), _u19773)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u19776, _u19777), _u19778) = hAPP(hAPP(c_List_Oappend(_u19776), hAPP(hAPP(c_List_Odrop(_u19776), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19777, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19776)), _u19778))), _u19778)), hAPP(hAPP(c_List_Otake(_u19776), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19777, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19776)), _u19778))), _u19778))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19779) | ( _u19780 = c_List_Olist_ONil(_u19779)) | ( hAPP(c_Finite__Set_Ofold1(_u19779, c_Groups_Otimes__class_Otimes(_u19779)), hAPP(c_List_Oset(_u19779), _u19780)) = hAPP(c_List_Ofoldl(_u19779, _u19779, c_Groups_Otimes__class_Otimes(_u19779), hAPP(c_List_Ohd(_u19779), _u19780)), hAPP(c_List_Otl(_u19779), _u19780))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19781, _u19782, hAPP(hAPP(c_List_Olist_OCons(_u19781), _u19783), _u19784)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19782, _u19783)), c_List_Olist_Olist__size(_u19781, _u19782, _u19784))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19785, _u19786, _u19787, _u19788), c_List_Olist_ONil(_u19786)) = _u19788) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u19789) | ( c_List_Ofoldr(_u19789, _u19789, c_Groups_Oplus__class_Oplus(_u19789), _u19790, _u19791) = hAPP(c_List_Ofoldl(_u19789, _u19789, c_Groups_Oplus__class_Oplus(_u19789), _u19791), _u19790)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u19792) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19792), _u19793), hAPP(c_List_Ofoldl(_u19792, _u19792, c_Groups_Oplus__class_Oplus(_u19792), c_Groups_Ozero__class_Ozero(_u19792)), _u19794)) = hAPP(c_List_Ofoldl(_u19792, _u19792, c_Groups_Oplus__class_Oplus(_u19792), _u19793), _u19794)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u19795) | ( hAPP(c_List_Ofoldl(_u19795, _u19795, c_Groups_Oplus__class_Oplus(_u19795), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19795), _u19796), _u19797)), _u19798) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19795), _u19796), hAPP(c_List_Ofoldl(_u19795, _u19795, c_Groups_Oplus__class_Oplus(_u19795), _u19797), _u19798))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19799), _u19800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19799), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19800), _u19801))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19802, _u19803, _u19804, _u19805), hAPP(hAPP(c_List_Omap(_u19806, _u19803), _u19807), _u19808)) = hAPP(c_List_Ofoldl(_u19802, _u19806, hAPP(hAPP(c_COMBC(_u19802, tc_fun(_u19806, _u19803), tc_fun(_u19806, _u19802)), hAPP(hAPP(c_COMBB(tc_fun(_u19803, _u19802), tc_fun(tc_fun(_u19806, _u19803), tc_fun(_u19806, _u19802)), _u19802), c_COMBB(_u19803, _u19802, _u19806)), _u19804)), _u19807), _u19805), _u19808)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u19809, _u19810, hAPP(hAPP(c_List_Omap(_u19811, _u19809), _u19812), _u19813)) = c_List_Olist_Olist__size(_u19811, hAPP(c_Fun_Ocomp(_u19809, tc_Nat_Onat, _u19811, _u19810), _u19812), _u19813)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19814, _u19815, _u19816, _u19817), hAPP(hAPP(c_List_Olist_OCons(_u19815), _u19818), _u19819)) = hAPP(c_List_Ofoldl(_u19814, _u19815, _u19816, hAPP(hAPP(_u19816, _u19817), _u19818)), _u19819)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, _u19823), hAPP(hAPP(c_List_Oappend(_u19821), _u19824), _u19825)) = hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, _u19823), _u19824)), _u19825)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u19826) | ( c_List_Omonoid__add__class_Olistsum(_u19826) = c_List_Ofoldl(_u19826, _u19826, c_Groups_Oplus__class_Oplus(_u19826), c_Groups_Ozero__class_Ozero(_u19826))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u19827) | ( hAPP(c_List_Ofoldl(_u19827, _u19827, c_Groups_Oplus__class_Oplus(_u19827), _u19828), _u19829) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19827), _u19828), c_List_Ofoldr(_u19827, _u19827, c_Groups_Oplus__class_Oplus(_u19827), _u19829, c_Groups_Ozero__class_Ozero(_u19827)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u19830) | ( hAPP(c_List_Ofoldl(_u19830, _u19830, c_Groups_Oplus__class_Oplus(_u19830), c_Groups_Ozero__class_Ozero(_u19830)), _u19831) = c_List_Ofoldr(_u19830, _u19830, c_Groups_Oplus__class_Oplus(_u19830), _u19831, c_Groups_Ozero__class_Ozero(_u19830))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 12.32/12.53 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), _u19836), _u19838) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19836 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53 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), _u19836), _u19838) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19832), hAPP(c_List_Oset(tc_Nat_Onat), _u19838))) | ( _u19832 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53 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), _u19837), _u19839) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19837 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem480(_u19839, _u19837)), hAPP(c_List_Oset(tc_Nat_Onat), _u19839))) )).
% 12.32/12.53 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), _u19837), _u19839) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19837 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem480(_u19839, _u19837) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19840, _u19841, c_List_Olist_ONil(_u19840)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19842, _u19843, _u19844) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19842, _u19843, _u19844), _u19845), hAPP(c_List_Oset(_u19842), _u19846)) = hAPP(c_List_Ofoldl(_u19843, _u19842, hAPP(c_COMBC(_u19842, _u19843, _u19843), _u19844), _u19845), _u19846)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19847) | ( c_Complete__Lattice_OSup__class_OSup(_u19847, hAPP(c_List_Oset(_u19847), _u19848)) = hAPP(c_List_Ofoldl(_u19847, _u19847, c_Lattices_Osemilattice__sup__class_Osup(_u19847), c_Orderings_Obot__class_Obot(_u19847)), _u19848)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19849) | ( c_Complete__Lattice_OInf__class_OInf(_u19849, hAPP(c_List_Oset(_u19849), _u19850)) = hAPP(c_List_Ofoldl(_u19849, _u19849, c_Lattices_Osemilattice__inf__class_Oinf(_u19849), c_Orderings_Otop__class_Otop(_u19849)), _u19850)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19851) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19851, hAPP(c_List_Oset(_u19851), hAPP(hAPP(c_List_Olist_OCons(_u19851), _u19852), _u19853))) = hAPP(c_List_Ofoldl(_u19851, _u19851, c_Lattices_Osemilattice__sup__class_Osup(_u19851), _u19852), _u19853)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19854) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19854, hAPP(c_List_Oset(_u19854), hAPP(hAPP(c_List_Olist_OCons(_u19854), _u19855), _u19856))) = hAPP(c_List_Ofoldl(_u19854, _u19854, c_Lattices_Osemilattice__inf__class_Oinf(_u19854), _u19855), _u19856)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19857) | ( c_Big__Operators_Olinorder__class_OMin(_u19857, hAPP(c_List_Oset(_u19857), hAPP(hAPP(c_List_Olist_OCons(_u19857), _u19858), _u19859))) = hAPP(c_List_Ofoldl(_u19857, _u19857, c_Orderings_Oord__class_Omin(_u19857), _u19858), _u19859)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19860) | ( c_Big__Operators_Olinorder__class_OMax(_u19860, hAPP(c_List_Oset(_u19860), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19861), _u19862))) = hAPP(c_List_Ofoldl(_u19860, _u19860, c_Orderings_Oord__class_Omax(_u19860), _u19861), _u19862)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19863) | ( c_Big__Operators_Olattice_OInf__fin(_u19863, c_Orderings_Oord__class_Omin(_u19863), hAPP(c_List_Oset(_u19863), hAPP(hAPP(c_List_Olist_OCons(_u19863), _u19864), _u19865))) = hAPP(c_List_Ofoldl(_u19863, _u19863, c_Orderings_Oord__class_Omin(_u19863), _u19864), _u19865)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19866) | ( c_Big__Operators_Olattice_OSup__fin(_u19866, c_Orderings_Oord__class_Omax(_u19866), hAPP(c_List_Oset(_u19866), hAPP(hAPP(c_List_Olist_OCons(_u19866), _u19867), _u19868))) = hAPP(c_List_Ofoldl(_u19866, _u19866, c_Orderings_Oord__class_Omax(_u19866), _u19867), _u19868)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19869) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19870, _u19869), hAPP(c_List_Oset(_u19870), _u19871)), _u19872) = hAPP(c_List_Ofoldl(_u19869, _u19870, hAPP(c_COMBC(_u19870, _u19869, _u19869), hAPP(hAPP(c_COMBB(_u19869, tc_fun(_u19869, _u19869), _u19870), c_Lattices_Osemilattice__sup__class_Osup(_u19869)), _u19872)), c_Orderings_Obot__class_Obot(_u19869)), _u19871)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19873) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19874, _u19873), hAPP(c_List_Oset(_u19874), _u19875)), _u19876) = hAPP(c_List_Ofoldl(_u19873, _u19874, hAPP(c_COMBC(_u19874, _u19873, _u19873), hAPP(hAPP(c_COMBB(_u19873, tc_fun(_u19873, _u19873), _u19874), c_Lattices_Osemilattice__inf__class_Oinf(_u19873)), _u19876)), c_Orderings_Otop__class_Otop(_u19873)), _u19875)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19877), _u19878), hAPP(c_List_Oset(_u19877), _u19879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), hAPP(_u19881, _u19878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), c_List_Olist_Olist__size(_u19877, _u19881, _u19879))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19882), _u19883), hAPP(c_List_Oset(_u19882), _u19884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19885), hAPP(_u19886, _u19883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19885), c_List_Olist_Olist__size(_u19882, _u19886, _u19884))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__upds__fold__map__upd ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__upds__fold__map__upd-1, axiom, ( ( c_Map_Omap__upds(_u19887, _u19888, _u19889, _u19890, _u19891) = hAPP(c_List_Ofoldl(tc_fun(_u19887, tc_Option_Ooption(_u19888)), tc_prod(_u19887, _u19888), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), tc_fun(tc_prod(_u19887, _u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), c_Product__Type_Oprod_Oprod__case(_u19887, _u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), hAPP(hAPP(c_COMBC(tc_fun(_u19887, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), c_COMBC(_u19887, tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888)))), tc_fun(_u19887, tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888))), tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), _u19887), c_COMBB(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888)), _u19888))), c_Fun_Ofun__upd(_u19887, tc_Option_Ooption(_u19888))))), c_Option_Ooption_OSome(_u19888))), _u19889), hAPP(hAPP(c_List_Ozip(_u19887, _u19888), _u19890), _u19891))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19892), hAPP(c_List_Oset(tc_Nat_Onat), _u19893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19892), 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)), _u19893))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u19894, _u19895, _u19896) = 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(_u19894, tc_Nat_Onat), _u19895), _u19896))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19894)), _u19896))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19897, _u19897), tc_HOL_Obool)), _u19898), hAPP(hAPP(c_Product__Type_OSigma(_u19897, _u19897), _u19899), hAPP(c_COMBK(tc_fun(_u19897, tc_HOL_Obool), _u19897), _u19899)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19897), tc_List_Olist(_u19897)), tc_HOL_Obool)), c_List_Olistrel(_u19897, _u19898)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u19897), tc_List_Olist(_u19897)), c_List_Olists(_u19897, _u19899)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19897), tc_HOL_Obool), tc_List_Olist(_u19897)), c_List_Olists(_u19897, _u19899))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19900)), _u19901), c_Wellfounded_Oacc(tc_List_Olist(_u19900), c_List_Olistrel1(_u19900, _u19902)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19900)), _u19901), c_List_Olists(_u19900, c_Wellfounded_Oacc(_u19900, _u19902)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19903)), c_List_Olist_ONil(_u19903)), c_List_Olists(_u19903, _u19904))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19905, _u19906, _u19907) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u19905), c_List_Olists(_u19905, _u19906), c_List_Olistrel(_u19905, _u19907)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u19908, _u19909, _u19910) | c_Relation_Orefl__on(tc_List_Olist(_u19908), c_List_Olists(_u19908, _u19909), c_List_Olistrel(_u19908, _u19910)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), hAPP(hAPP(c_List_Oappend(_u19915), _u19917), _u19919)), c_List_Olists(_u19915, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), _u19917), c_List_Olists(_u19915, _u19921))) )).
% 12.32/12.53 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), hAPP(hAPP(c_List_Oappend(_u19915), _u19917), _u19919)), c_List_Olists(_u19915, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), _u19919), c_List_Olists(_u19915, _u19921))) )).
% 12.32/12.53 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), _u19918), c_List_Olists(_u19916, _u19922))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), _u19920), c_List_Olists(_u19916, _u19922))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), hAPP(hAPP(c_List_Oappend(_u19916), _u19918), _u19920)), c_List_Olists(_u19916, _u19922))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19923, tc_HOL_Obool)), _u19924), _u19925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19923), tc_HOL_Obool)), c_List_Olists(_u19923, _u19924)), c_List_Olists(_u19923, _u19925))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u19926, c_Orderings_Otop__class_Otop(tc_fun(_u19926, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u19926), tc_HOL_Obool))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), hAPP(hAPP(c_List_Olist_OCons(_u19931), _u19933), _u19935)), c_List_Olists(_u19931, _u19937))) | hBOOL(hAPP(hAPP(c_member(_u19931), _u19933), _u19937)) )).
% 12.32/12.53 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), hAPP(hAPP(c_List_Olist_OCons(_u19931), _u19933), _u19935)), c_List_Olists(_u19931, _u19937))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), _u19935), c_List_Olists(_u19931, _u19937))) )).
% 12.32/12.53 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19932), _u19934), _u19938)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19932)), _u19936), c_List_Olists(_u19932, _u19938))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19932)), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19934), _u19936)), c_List_Olists(_u19932, _u19938))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19944)), _u19946), c_List_Olists(_u19944, _u19948))) | ~hBOOL(hAPP(hAPP(c_member(_u19944), _u19939), hAPP(c_List_Oset(_u19944), _u19946))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19939), _u19948)) )).
% 12.32/12.53 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19945)), _u19947), c_List_Olists(_u19945, _u19949))) | hBOOL(hAPP(hAPP(c_member(_u19945), skolem481(_u19949, _u19947, _u19945)), hAPP(c_List_Oset(_u19945), _u19947))) )).
% 12.32/12.53 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19945)), _u19947), c_List_Olists(_u19945, _u19949))) | ~hBOOL(hAPP(hAPP(c_member(_u19945), skolem481(_u19949, _u19947, _u19945)), _u19949)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u19950, _u19951) = hAPP(c_Set_OCollect(tc_List_Olist(_u19950)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19950), tc_fun(_u19950, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19950, tc_HOL_Obool), tc_fun(tc_fun(_u19950, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u19950)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u19950, tc_HOL_Obool))), c_List_Oset(_u19950))), _u19951))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u19952, c_Orderings_Obot__class_Obot(tc_fun(_u19952, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u19952)), c_List_Olist_ONil(_u19952)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u19952), tc_HOL_Obool)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19953)), _u19954), c_List_Olists(_u19953, c_Wellfounded_Oacc(_u19953, _u19955)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19953)), _u19954), c_Wellfounded_Oacc(tc_List_Olist(_u19953), c_List_Olistrel1(_u19953, _u19955)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u19958 != hAPP(hAPP(c_List_Olist_OCons(_u19959), _u19957), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19959), tc_List_Olist(_u19959))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19959), tc_List_Olist(_u19959)), _u19960), hAPP(hAPP(c_List_Oappend(_u19959), _u19960), _u19958))), c_List_Olexord(_u19959, _u19961))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19969), tc_List_Olist(_u19969))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19969), tc_List_Olist(_u19969)), c_List_Olist_ONil(_u19969)), _u19971)), c_List_Olexord(_u19969, _u19973))) | ( _u19971 = hAPP(hAPP(c_List_Olist_OCons(_u19969), skolem482(_u19973, _u19971, _u19969)), skolem483(_u19973, _u19971, _u19969))) )).
% 12.32/12.53 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u19972 != hAPP(hAPP(c_List_Olist_OCons(_u19970), _u19965), _u19964)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19970), tc_List_Olist(_u19970))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19970), tc_List_Olist(_u19970)), c_List_Olist_ONil(_u19970)), _u19972)), c_List_Olexord(_u19970, _u19974))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__list__update-1, axiom, ( ( _u19975 = c_List_Olist_ONil(_u19976)) | ( _u19977 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19976)), _u19975)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19976, hAPP(hAPP(c_List_Olist__update(_u19976, _u19975), _u19977), _u19978)) = _u19978) )).
% 12.32/12.53 cnf(fact_last__list__update-2, axiom, ( ( _u19975 = c_List_Olist_ONil(_u19976)) | ( _u19977 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19976)), _u19975)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19976, hAPP(hAPP(c_List_Olist__update(_u19976, _u19975), _u19977), _u19978)) = c_List_Olast(_u19976, _u19975)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u19980) | ~class_Groups_Oordered__ab__semigroup__add(_u19980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19983), _u19982))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19984), _u19982)))) | hBOOL(hAPP(hAPP(c_member(_u19981), skolem484(_u19984, _u19983, _u19982, _u19981, _u19980)), hAPP(c_List_Oset(_u19981), _u19982))) )).
% 12.32/12.53 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u19980) | ~class_Groups_Oordered__ab__semigroup__add(_u19980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19983), _u19982))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19984), _u19982)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(_u19983, skolem484(_u19984, _u19983, _u19982, _u19981, _u19980))), hAPP(_u19984, skolem484(_u19984, _u19983, _u19982, _u19981, _u19980)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__appendL-1, axiom, ( ( _u19985 != c_List_Olist_ONil(_u19986)) | ( c_List_Olast(_u19986, hAPP(hAPP(c_List_Oappend(_u19986), _u19987), _u19985)) = c_List_Olast(_u19986, _u19987)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__appendR-1, axiom, ( ( _u19988 = c_List_Olist_ONil(_u19989)) | ( c_List_Olast(_u19989, hAPP(hAPP(c_List_Oappend(_u19989), _u19990), _u19988)) = c_List_Olast(_u19989, _u19988)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__append-1, axiom, ( ( _u19994 != c_List_Olist_ONil(_u19996)) | ( c_List_Olast(_u19996, hAPP(hAPP(c_List_Oappend(_u19996), _u19998), _u19994)) = c_List_Olast(_u19996, _u19998)) )).
% 12.32/12.53 cnf(fact_last__append-2, axiom, ( ( _u19995 = c_List_Olist_ONil(_u19997)) | ( c_List_Olast(_u19997, hAPP(hAPP(c_List_Oappend(_u19997), _u19999), _u19995)) = c_List_Olast(_u19997, _u19995)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__ConsL-1, axiom, ( ( _u20000 != c_List_Olist_ONil(_u20001)) | ( c_List_Olast(_u20001, hAPP(hAPP(c_List_Olist_OCons(_u20001), _u20002), _u20000)) = _u20002) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__ConsR-1, axiom, ( ( _u20003 = c_List_Olist_ONil(_u20004)) | ( c_List_Olast(_u20004, hAPP(hAPP(c_List_Olist_OCons(_u20004), _u20005), _u20003)) = c_List_Olast(_u20004, _u20003)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last_Osimps-1, axiom, ( ( _u20009 != c_List_Olist_ONil(_u20011)) | ( c_List_Olast(_u20011, hAPP(hAPP(c_List_Olist_OCons(_u20011), _u20013), _u20009)) = _u20013) )).
% 12.32/12.53 cnf(fact_last_Osimps-2, axiom, ( ( _u20010 = c_List_Olist_ONil(_u20012)) | ( c_List_Olast(_u20012, hAPP(hAPP(c_List_Olist_OCons(_u20012), _u20014), _u20010)) = c_List_Olast(_u20012, _u20010)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__map-1, axiom, ( ( _u20015 = c_List_Olist_ONil(_u20016)) | ( c_List_Olast(_u20017, hAPP(hAPP(c_List_Omap(_u20016, _u20017), _u20018), _u20015)) = hAPP(_u20018, c_List_Olast(_u20016, _u20015))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__in__set-1, axiom, ( ( _u20019 = c_List_Olist_ONil(_u20020)) | hBOOL(hAPP(hAPP(c_member(_u20020), c_List_Olast(_u20020, _u20019)), hAPP(c_List_Oset(_u20020), _u20019))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u20021, hAPP(hAPP(c_List_Oappend(_u20021), _u20022), hAPP(hAPP(c_List_Olist_OCons(_u20021), _u20023), c_List_Olist_ONil(_u20021)))) = _u20023) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20024), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20025)), _u20026))) | ( c_List_Olast(_u20025, hAPP(hAPP(c_List_Odrop(_u20025), _u20024), _u20026)) = c_List_Olast(_u20025, _u20026)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__conv__nth-1, axiom, ( ( _u20027 = c_List_Olist_ONil(_u20028)) | ( c_List_Olast(_u20028, _u20027) = hAPP(hAPP(c_List_Onth(_u20028), _u20027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20028)), _u20027)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20031, _u20031)), hAPP(hAPP(c_Product__Type_OPair(_u20031, _u20031), skolem485(_u20034, _u20033, _u20032, _u20031)), skolem486(_u20034, _u20033, _u20032, _u20031))), _u20032)) )).
% 12.32/12.53 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ( skolem485(_u20034, _u20033, _u20032, _u20031) != skolem486(_u20034, _u20033, _u20032, _u20031)) )).
% 12.32/12.53 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20031, _u20031)), hAPP(hAPP(c_Product__Type_OPair(_u20031, _u20031), skolem486(_u20034, _u20033, _u20032, _u20031)), skolem485(_u20034, _u20033, _u20032, _u20031))), _u20032)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20036, _u20036)), hAPP(hAPP(c_Product__Type_OPair(_u20036, _u20036), skolem487(_u20038, _u20037, _u20036)), skolem487(_u20038, _u20037, _u20036))), _u20037)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20036), tc_List_Olist(_u20036))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20036), tc_List_Olist(_u20036)), _u20038), _u20038)), c_List_Olexord(_u20036, _u20037))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem488(_u20050, _u20048, _u20046)), _u20050)) )).
% 12.32/12.53 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | ( _u20048 = hAPP(hAPP(c_List_Olist_OCons(_u20046), skolem488(_u20050, _u20048, _u20046)), skolem489(_u20050, _u20048, _u20046))) )).
% 12.32/12.53 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), skolem489(_u20050, _u20048, _u20046)), c_List_Olists(_u20046, _u20050))) )).
% 12.32/12.53 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20049), c_List_Olists(_u20047, _u20051))) | ( _u20049 != c_List_Olist_ONil(_u20047)) )).
% 12.32/12.53 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20049), c_List_Olists(_u20047, _u20051))) | ~hBOOL(hAPP(hAPP(c_member(_u20047), _u20042), _u20051)) | ( _u20049 != hAPP(hAPP(c_List_Olist_OCons(_u20047), _u20042), _u20041)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20041), c_List_Olists(_u20047, _u20051))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20053, _u20055, _u20054)), c_List_Olist_Olist__size(_u20053, _u20056, _u20054))) | hBOOL(hAPP(hAPP(c_member(_u20053), skolem490(_u20056, _u20055, _u20054, _u20053)), hAPP(c_List_Oset(_u20053), _u20054))) )).
% 12.32/12.53 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20053, _u20055, _u20054)), c_List_Olist_Olist__size(_u20053, _u20056, _u20054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u20055, skolem490(_u20056, _u20055, _u20054, _u20053))), hAPP(_u20056, skolem490(_u20056, _u20055, _u20054, _u20053)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20058)), _u20059))) | ( c_List_Obutlast(_u20058, hAPP(hAPP(c_List_Otake(_u20058), _u20057), _u20059)) = hAPP(hAPP(c_List_Otake(_u20058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20057), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20059)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20064))) | ( hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20063) = hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u20064, _u20063, _u20062, _u20061)), _u20061)) )).
% 12.32/12.53 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20064))) | ( hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20063) = hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20064)) | ( hAPP(hAPP(c_List_Onth(_u20062), _u20063), skolem491(_u20064, _u20063, _u20062, _u20061)) != hAPP(hAPP(c_List_Onth(_u20062), _u20064), skolem491(_u20064, _u20063, _u20062, _u20061))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20065, _u20066), _u20067), c_List_Obutlast(_u20065, _u20068)) = c_List_Obutlast(_u20066, hAPP(hAPP(c_List_Omap(_u20065, _u20066), _u20067), _u20068))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__butlast-1, axiom, ( ( _u20069 = c_List_Olist_ONil(_u20070)) | ~hBOOL(hAPP(c_List_Odistinct(_u20070), _u20069)) | hBOOL(hAPP(c_List_Odistinct(_u20070), c_List_Obutlast(_u20070, _u20069))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u20071, c_List_Olist_ONil(_u20071)) = c_List_Olist_ONil(_u20071)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20072), _u20073), hAPP(c_List_Oset(_u20072), c_List_Obutlast(_u20072, _u20074)))) | hBOOL(hAPP(hAPP(c_member(_u20072), _u20073), hAPP(c_List_Oset(_u20072), _u20074))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u20078 != c_List_Olist_ONil(_u20080)) | ( c_List_Obutlast(_u20080, hAPP(hAPP(c_List_Olist_OCons(_u20080), _u20082), _u20078)) = c_List_Olist_ONil(_u20080)) )).
% 12.32/12.53 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u20079 = c_List_Olist_ONil(_u20081)) | ( c_List_Obutlast(_u20081, hAPP(hAPP(c_List_Olist_OCons(_u20081), _u20083), _u20079)) = hAPP(hAPP(c_List_Olist_OCons(_u20081), _u20083), c_List_Obutlast(_u20081, _u20079))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__append-1, axiom, ( ( _u20087 != c_List_Olist_ONil(_u20089)) | ( c_List_Obutlast(_u20089, hAPP(hAPP(c_List_Oappend(_u20089), _u20091), _u20087)) = c_List_Obutlast(_u20089, _u20091)) )).
% 12.32/12.53 cnf(fact_butlast__append-2, axiom, ( ( _u20088 = c_List_Olist_ONil(_u20090)) | ( c_List_Obutlast(_u20090, hAPP(hAPP(c_List_Oappend(_u20090), _u20092), _u20088)) = hAPP(hAPP(c_List_Oappend(_u20090), _u20092), c_List_Obutlast(_u20090, _u20088))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u20093), _u20094), c_List_Obutlast(_u20093, _u20095)) = c_List_Obutlast(_u20093, hAPP(hAPP(c_List_Odrop(_u20093), _u20094), _u20095))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u20096, hAPP(hAPP(c_List_Odrop(_u20096), _u20097), _u20098)) = hAPP(hAPP(c_List_Odrop(_u20096), _u20097), c_List_Obutlast(_u20096, _u20098))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20102))))) | ~hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, _u20101)))) )).
% 12.32/12.53 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20102))))) | ~hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, _u20102)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u20103, hAPP(hAPP(c_List_Oappend(_u20103), _u20104), hAPP(hAPP(c_List_Olist_OCons(_u20103), _u20105), c_List_Olist_ONil(_u20103)))) = _u20104) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20106), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20107)), _u20108))) | ( hAPP(hAPP(c_List_Otake(_u20107), _u20106), c_List_Obutlast(_u20107, _u20108)) = hAPP(hAPP(c_List_Otake(_u20107), _u20106), _u20108)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20109)), c_List_Obutlast(_u20109, _u20110)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20109)), _u20110)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u20111, _u20112) = hAPP(hAPP(c_List_Otake(_u20111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20111)), _u20112)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20112)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_butlast__list__update-1, axiom, ( ( _u20117 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20119)), _u20121)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20119, hAPP(hAPP(c_List_Olist__update(_u20119, _u20121), _u20117), _u20123)) = c_List_Obutlast(_u20119, _u20121)) )).
% 12.32/12.53 cnf(fact_butlast__list__update-2, axiom, ( ( _u20118 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20120)), _u20122)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20120, hAPP(hAPP(c_List_Olist__update(_u20120, _u20122), _u20118), _u20124)) = hAPP(hAPP(c_List_Olist__update(_u20120, c_List_Obutlast(_u20120, _u20122)), _u20118), _u20124)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( _u20135 != c_List_Olist_ONil(_u20129)) )).
% 12.32/12.53 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( c_List_Obutlast(_u20129, _u20135) = _u20131) )).
% 12.32/12.53 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( c_List_Olast(_u20129, _u20135) = _u20133) )).
% 12.32/12.53 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u20136 = c_List_Olist_ONil(_u20130)) | ( c_List_Obutlast(_u20130, _u20136) != _u20132) | ( c_List_Olast(_u20130, _u20136) != _u20134) | ( hAPP(hAPP(c_List_Oappend(_u20130), _u20132), hAPP(hAPP(c_List_Olist_OCons(_u20130), _u20134), c_List_Olist_ONil(_u20130))) = _u20136) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u20137 = c_List_Olist_ONil(_u20138)) | ( hAPP(hAPP(c_List_Oappend(_u20138), c_List_Obutlast(_u20138, _u20137)), hAPP(hAPP(c_List_Olist_OCons(_u20138), c_List_Olast(_u20138, _u20137)), c_List_Olist_ONil(_u20138))) = _u20137) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 12.32/12.53 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(_u20139)), _u20140))), c_List_Ofoldr(tc_List_Olist(_u20141), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20141))), _u20142, 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(_u20139)), _u20140)), c_List_Ofoldr(tc_List_Olist(_u20141), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20141), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20141)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u20141), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20141)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20141), tc_List_Olist(_u20141), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20141)))), _u20142), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u20143, _u20144, _u20145) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20143), tc_List_Olist(_u20143)), _u20146), _u20147)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20143, tc_HOL_Obool)), hAPP(c_List_Oset(_u20143), _u20146)), hAPP(c_List_Oset(_u20143), _u20147)) = hAPP(c_List_Oset(_u20143), _u20145)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20148)), hAPP(c_List_Ofilter(_u20148, _u20149), hAPP(hAPP(c_List_Omap(_u20150, _u20148), _u20151), _u20152))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20150)), hAPP(c_List_Ofilter(_u20150, hAPP(c_Fun_Ocomp(_u20148, tc_HOL_Obool, _u20150, _u20149), _u20151)), _u20152))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20153, tc_HOL_Obool)), hAPP(c_List_Oset(_u20153), hAPP(c_List_Ofilter(_u20153, _u20154), _u20155))), hAPP(c_List_Oset(_u20153), _u20155))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 12.32/12.53 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(_u20156)), hAPP(c_List_Ofilter(_u20156, _u20157), _u20158))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20156)), _u20158))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u20159), hAPP(c_List_Ofilter(_u20159, _u20160), _u20161)) = hAPP(c_Set_OCollect(_u20159), hAPP(hAPP(c_COMBS(_u20159, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20159), c_fconj), hAPP(hAPP(c_COMBC(_u20159, tc_fun(_u20159, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20159)), hAPP(c_List_Oset(_u20159), _u20161)))), _u20160))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u20162, _u20163), hAPP(hAPP(c_List_Oappend(_u20162), _u20164), _u20165)) = hAPP(hAPP(c_List_Oappend(_u20162), hAPP(c_List_Ofilter(_u20162, _u20163), _u20164)), hAPP(c_List_Ofilter(_u20162, _u20163), _u20165))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 12.32/12.53 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(_u20166)), hAPP(c_List_Ofilter(_u20166, _u20167), _u20168))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20166)), hAPP(c_List_Ofilter(_u20166, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20166), c_fNot), _u20167)), _u20168))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20166)), _u20168)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20173, _u20175)) | ( hAPP(c_List_Ofilter(_u20177, _u20173), hAPP(hAPP(c_List_Olist_OCons(_u20177), _u20175), _u20179)) = hAPP(hAPP(c_List_Olist_OCons(_u20177), _u20175), hAPP(c_List_Ofilter(_u20177, _u20173), _u20179))) )).
% 12.32/12.53 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20174, _u20176)) | ( hAPP(c_List_Ofilter(_u20178, _u20174), hAPP(hAPP(c_List_Olist_OCons(_u20178), _u20176), _u20180)) = hAPP(c_List_Ofilter(_u20178, _u20174), _u20180)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u20186, _u20188), _u20190) != _u20190) | ~hBOOL(hAPP(hAPP(c_member(_u20186), _u20181), hAPP(c_List_Oset(_u20186), _u20190))) | hBOOL(hAPP(_u20188, _u20181)) )).
% 12.32/12.53 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u20187, _u20189), _u20191) = _u20191) | hBOOL(hAPP(hAPP(c_member(_u20187), skolem492(_u20191, _u20189, _u20187)), hAPP(c_List_Oset(_u20187), _u20191))) )).
% 12.32/12.53 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u20187, _u20189), _u20191) = _u20191) | ~hBOOL(hAPP(_u20189, skolem492(_u20191, _u20189, _u20187))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u20192) | hBOOL(hAPP(_u20193, _u20194)) | ( hAPP(c_List_Ofilter(_u20195, _u20193), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20195, _u20192, _u20196), _u20194), _u20197)) = hAPP(c_List_Ofilter(_u20195, _u20193), _u20197)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20198), _u20199)) | hBOOL(hAPP(c_List_Odistinct(_u20198), hAPP(c_List_Ofilter(_u20198, _u20200), _u20199))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u20201, _u20202)) | ( c_List_Oremove1(_u20203, _u20202, hAPP(c_List_Ofilter(_u20203, _u20201), _u20204)) = hAPP(c_List_Ofilter(_u20203, _u20201), _u20204)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u20205, _u20206), c_List_Oremove1(_u20205, _u20207, _u20208)) = c_List_Oremove1(_u20205, _u20207, hAPP(c_List_Ofilter(_u20205, _u20206), _u20208))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u20209, _u20210), hAPP(c_List_Ofilter(_u20209, _u20211), _u20212)) = hAPP(c_List_Ofilter(_u20209, hAPP(hAPP(c_COMBS(_u20209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20209), c_fconj), _u20211)), _u20210)), _u20212)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20213), tc_List_Olist(_u20213)), c_List_Opartition(_u20213, _u20214, _u20215)) = hAPP(c_List_Ofilter(_u20213, _u20214), _u20215)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u20221, _u20223), _u20225) != c_List_Olist_ONil(_u20221)) | ~hBOOL(hAPP(hAPP(c_member(_u20221), _u20216), hAPP(c_List_Oset(_u20221), _u20225))) | ~hBOOL(hAPP(_u20223, _u20216)) )).
% 12.32/12.53 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u20222, _u20224), _u20226) = c_List_Olist_ONil(_u20222)) | hBOOL(hAPP(hAPP(c_member(_u20222), skolem493(_u20226, _u20224, _u20222)), hAPP(c_List_Oset(_u20222), _u20226))) )).
% 12.32/12.53 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u20222, _u20224), _u20226) = c_List_Olist_ONil(_u20222)) | hBOOL(hAPP(_u20224, skolem493(_u20226, _u20224, _u20222))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u20227, _u20228), c_List_Olist_ONil(_u20227)) = c_List_Olist_ONil(_u20227)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u20229, _u20230, _u20231) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20229), tc_List_Olist(_u20229)), hAPP(c_List_Ofilter(_u20229, _u20230), _u20231)), hAPP(c_List_Ofilter(_u20229, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20229, c_fNot), _u20230)), _u20231))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20232), tc_List_Olist(_u20232)), c_List_Opartition(_u20232, _u20233, _u20234)) = hAPP(c_List_Ofilter(_u20232, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20232, c_fNot), _u20233)), _u20234)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u20235, _u20236), hAPP(hAPP(c_List_Omap(_u20237, _u20235), _u20238), _u20239)) = hAPP(hAPP(c_List_Omap(_u20237, _u20235), _u20238), hAPP(c_List_Ofilter(_u20237, hAPP(c_Fun_Ocomp(_u20235, tc_HOL_Obool, _u20237, _u20236), _u20238)), _u20239))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20240), _u20241), hAPP(c_List_Oset(_u20240), _u20242))) | hBOOL(hAPP(_u20243, _u20241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20240)), hAPP(c_List_Ofilter(_u20240, _u20243), _u20242))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20240)), _u20242))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20244, tc_HOL_Obool)), hAPP(c_List_Oset(_u20244), _u20245)), hAPP(hAPP(c_Set_Oinsert(_u20244), _u20246), c_Orderings_Obot__class_Obot(tc_fun(_u20244, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20244), hAPP(c_List_Ofilter(_u20244, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20244), c_fNot), hAPP(hAPP(c_COMBC(_u20244, _u20244, tc_HOL_Obool), c_fequal), _u20246))), _u20245))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u20249, _u20250, _u20251) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20249), tc_List_Olist(_u20249)), _u20252), _u20253)) | ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20247), hAPP(c_List_Oset(_u20249), _u20252))) | hBOOL(hAPP(_u20250, _u20247)) )).
% 12.32/12.53 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u20249, _u20250, _u20251) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20249), tc_List_Olist(_u20249)), _u20252), _u20253)) | ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20248), hAPP(c_List_Oset(_u20249), _u20253))) | ~hBOOL(hAPP(_u20250, _u20248)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u20254, _u20255, c_List_Olist_ONil(_u20254)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20254), tc_List_Olist(_u20254)), c_List_Olist_ONil(_u20254)), c_List_Olist_ONil(_u20254))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20256), _u20257)) | ( hAPP(c_List_Ofilter(_u20256, hAPP(hAPP(c_COMBC(_u20256, tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20256)), hAPP(c_List_Oset(_u20256), c_List_Osublist(_u20256, _u20257, _u20258)))), _u20257) = c_List_Osublist(_u20256, _u20257, _u20258)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u20259, _u20260, hAPP(hAPP(c_List_Olist_OCons(_u20259), _u20261), _u20262)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20259), tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_fun(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), c_COMBS(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_List_Olist(_u20259)), hAPP(c_If(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(_u20260, _u20261)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_List_Olist(_u20259)), c_Product__Type_OPair(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(c_List_Olist_OCons(_u20259), _u20261))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_fun(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), c_COMBB(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_List_Olist(_u20259))), c_Product__Type_OPair(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(c_List_Olist_OCons(_u20259), _u20261)))), c_List_Opartition(_u20259, _u20260, _u20262))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20263)), hAPP(c_List_Ofilter(_u20263, _u20264), _u20265)) = 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(_u20263)), _u20265)))), hAPP(hAPP(c_COMBB(_u20263, tc_HOL_Obool, tc_Nat_Onat), _u20264), hAPP(c_List_Onth(_u20263), _u20265)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__filter__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__filter__def-1, axiom, ( ( c_List_Omap__filter(_u20266, _u20267, _u20268, _u20269) = hAPP(hAPP(c_List_Omap(_u20266, _u20267), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20267), _u20267, _u20266, c_Option_Othe(_u20267)), _u20268)), hAPP(c_List_Ofilter(_u20266, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20266), c_fNot), hAPP(hAPP(c_COMBC(_u20266, tc_Option_Ooption(_u20267), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20267), tc_fun(tc_Option_Ooption(_u20267), tc_HOL_Obool), _u20266), c_fequal), _u20268)), c_Option_Ooption_ONone(_u20267)))), _u20269))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u20270), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20270)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20270))), c_List_Otranspose(_u20270, _u20271), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20270))), hAPP(c_List_Ofilter(tc_List_Olist(_u20270), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20270)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20270), tc_List_Olist(_u20270), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20270)))), _u20271))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__of__filter__in ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__of__filter__in-1, axiom, ( ( hAPP(c_Map_Omap__of(_u20272, _u20273, _u20274), _u20275) != hAPP(c_Option_Ooption_OSome(_u20273), _u20276)) | ~hBOOL(hAPP(hAPP(_u20277, _u20275), _u20276)) | ( hAPP(c_Map_Omap__of(_u20272, _u20273, hAPP(c_List_Ofilter(tc_prod(_u20272, _u20273), hAPP(c_Product__Type_Oprod_Oprod__case(_u20272, _u20273, tc_HOL_Obool), _u20277)), _u20274)), _u20275) = hAPP(c_Option_Ooption_OSome(_u20273), _u20276)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u20278, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20279), tc_List_Olist(_u20278)), hAPP(c_List_Omap(_u20279, _u20278), _u20280)), _u20281)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20279), tc_List_Olist(_u20278)), hAPP(c_List_Omap(_u20279, _u20278), _u20280)), c_List_Otranspose(_u20279, _u20281))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__filter__simps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__filter__simps_I1_J-1, axiom, ( ( c_List_Omap__filter(_u20282, _u20283, _u20284, hAPP(hAPP(c_List_Olist_OCons(_u20282), _u20285), _u20286)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20283), _u20283, c_List_Omap__filter(_u20282, _u20283, _u20284, _u20286), hAPP(hAPP(c_COMBC(_u20283, tc_List_Olist(_u20283), tc_List_Olist(_u20283)), c_List_Olist_OCons(_u20283)), c_List_Omap__filter(_u20282, _u20283, _u20284, _u20286))), hAPP(_u20284, _u20285))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u20287, c_List_Olist_ONil(tc_List_Olist(_u20287))) = c_List_Olist_ONil(tc_List_Olist(_u20287))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__filter__simps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__filter__simps_I2_J-1, axiom, ( ( c_List_Omap__filter(_u20288, _u20289, _u20290, c_List_Olist_ONil(_u20288)) = c_List_Olist_ONil(_u20289)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u20295, _u20297) != c_List_Olist_ONil(tc_List_Olist(_u20295))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20295)), _u20291), hAPP(c_List_Oset(tc_List_Olist(_u20295)), _u20297))) | ( _u20291 = c_List_Olist_ONil(_u20295)) )).
% 12.32/12.53 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u20296, _u20298) = c_List_Olist_ONil(tc_List_Olist(_u20296))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20296)), skolem494(_u20298, _u20296)), hAPP(c_List_Oset(tc_List_Olist(_u20296)), _u20298))) )).
% 12.32/12.53 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u20296, _u20298) = c_List_Olist_ONil(tc_List_Olist(_u20296))) | ( skolem494(_u20298, _u20296) != c_List_Olist_ONil(_u20296)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u20299, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20299)), c_List_Olist_ONil(_u20299)), _u20300)) = c_List_Otranspose(_u20299, _u20300)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20301, tc_Nat_Onat), _u20301), c_Product__Type_Ofst(_u20301, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20301, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20301, tc_Nat_Onat)), _u20302), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20301, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20301, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20301, tc_Nat_Onat), _u20303), _u20304))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20301, tc_Nat_Onat), _u20301), c_Product__Type_Ofst(_u20301, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20301, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20301, tc_Nat_Onat)), _u20302), c_Product__Type_Osnd(_u20301, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20301, tc_Nat_Onat), _u20303), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20304))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u20305, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20305), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20305, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20305)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20306)) = c_Random_Oselect__weight(_u20305, _u20306)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u20307, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20307), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20307, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20307, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20307)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20308)) = c_Random_Opick(_u20307, _u20308)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20309), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20310))), c_List_Otranspose(_u20310, _u20311)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20310)), c_List_Otranspose(_u20310, _u20311)), _u20309) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20310), _u20310), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20310), tc_Nat_Onat, _u20310), c_List_Onth(_u20310)), _u20309)), hAPP(c_List_Ofilter(tc_List_Olist(_u20310), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20310)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20309)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20310)))), _u20311))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20312))), c_List_Otranspose(_u20312, _u20313)) = c_List_Ofoldr(tc_List_Olist(_u20312), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20312)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20312))), _u20313, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__filter__map__filter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__filter__map__filter-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20314, _u20315), _u20316), hAPP(c_List_Ofilter(_u20314, _u20317), _u20318)) = c_List_Omap__filter(_u20314, _u20315, hAPP(hAPP(c_COMBC(_u20314, tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315)), hAPP(hAPP(c_COMBS(_u20314, tc_Option_Ooption(_u20315), tc_fun(tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20315), tc_fun(tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315))), _u20314), c_If(tc_Option_Ooption(_u20315))), _u20317)), hAPP(hAPP(c_COMBB(_u20315, tc_Option_Ooption(_u20315), _u20314), c_Option_Ooption_OSome(_u20315)), _u20316))), c_Option_Ooption_ONone(_u20315)), _u20318)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20319) | ~hBOOL(hAPP(hAPP(c_member(_u20320), _u20321), hAPP(c_List_Oset(_u20320), _u20322))) | ~c_List_Olinorder__class_Osorted(_u20319, hAPP(hAPP(c_List_Omap(_u20320, _u20319), _u20323), _u20322)) | ( hAPP(c_List_Ohd(_u20320), hAPP(c_List_Ofilter(_u20320, hAPP(hAPP(c_COMBB(_u20319, tc_HOL_Obool, _u20320), hAPP(c_fequal, hAPP(_u20323, _u20321))), _u20323)), _u20322)) != _u20321) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20320, _u20319, _u20323), _u20321), c_List_Oremove1(_u20320, _u20321, _u20322)) = _u20322) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u20324, _u20325, _u20326) = hAPP(hAPP(c_List_Omap(tc_prod(_u20324, tc_Nat_Onat), _u20324), c_Product__Type_Ofst(_u20324, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20324, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20324, 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(_u20324, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20324, tc_Nat_Onat))), _u20326)), hAPP(hAPP(c_List_Ozip(_u20324, tc_Nat_Onat), _u20325), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325)))))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u20327) | c_List_Olinorder__class_Osorted(_u20327, c_List_Olist_ONil(_u20327)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u20328) | c_List_Olinorder__class_Osorted(_u20328, hAPP(hAPP(c_List_Olist_OCons(_u20328), _u20329), c_List_Olist_ONil(_u20328))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u20330) | c_List_Olinorder__class_Osorted(_u20330, hAPP(c_List_Ofilter(_u20330, hAPP(hAPP(c_COMBC(_u20330, _u20330, tc_HOL_Obool), c_fequal), hAPP(_u20331, _u20332))), _u20332)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u20333) | ~c_List_Olinorder__class_Osorted(_u20333, hAPP(hAPP(c_List_Omap(_u20334, _u20333), _u20335), _u20336)) | c_List_Olinorder__class_Osorted(_u20333, hAPP(hAPP(c_List_Omap(_u20334, _u20333), _u20335), hAPP(c_List_Ofilter(_u20334, _u20337), _u20336))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u20338) | c_List_Olinorder__class_Osorted(_u20338, hAPP(hAPP(c_List_Omap(_u20339, _u20338), _u20340), hAPP(c_List_Ofilter(_u20339, hAPP(hAPP(c_COMBC(_u20339, _u20338, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20338, tc_fun(_u20338, tc_HOL_Obool), _u20339), c_fequal), _u20340)), hAPP(_u20341, _u20342))), _u20342))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20343, _u20344)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20344), _u20343)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20345), _u20346)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20345, _u20346)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20346), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u20347) | ( _u20348 = c_List_Olist_ONil(_u20347)) | ~c_List_Olinorder__class_Osorted(_u20347, _u20348) | c_List_Olinorder__class_Osorted(_u20347, c_List_Obutlast(_u20347, _u20348)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 12.32/12.53 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), _u20349), _u20350)), _u20351)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20350), c_List_Oupt(_u20349, _u20351)) = c_List_Oupt(_u20349, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20349), _u20350))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u20354, _u20356) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20356 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20356), _u20354)) )).
% 12.32/12.53 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u20355, _u20357) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20357 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.53 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u20355, _u20357) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20357), _u20355)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20358), _u20359)) | ( c_List_Oupt(_u20359, _u20358) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u20360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20360), _u20361), _u20362)) | ~c_List_Olinorder__class_Osorted(_u20360, hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20362), _u20363)) | c_List_Olinorder__class_Osorted(_u20360, hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20361), hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20362), _u20363))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u20364) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20364), _u20365), _u20366)) )).
% 12.32/12.53 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u20364) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) | c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367)) )).
% 12.32/12.53 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u20364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20364), _u20365), _u20366)) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367)) | c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20368), _u20369)) | ( c_List_Oupt(_u20368, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20369), _u20370)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20368, _u20369)), c_List_Oupt(_u20369, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20369), _u20370)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20373), _u20375)) | ( c_List_Oupt(_u20373, hAPP(c_Nat_OSuc, _u20375)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20373, _u20375)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20375), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.32/12.53 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20374), _u20376)) | ( c_List_Oupt(_u20374, hAPP(c_Nat_OSuc, _u20376)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20377), _u20378)) | ( c_List_Oupt(_u20377, hAPP(c_Nat_OSuc, _u20378)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20377, _u20378)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20378), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u20381) | ~c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | c_List_Olinorder__class_Osorted(_u20381, _u20383) )).
% 12.32/12.53 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u20381) | ~c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~hBOOL(hAPP(hAPP(c_member(_u20381), _u20379), hAPP(c_List_Oset(_u20381), _u20383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20381), _u20382), _u20379)) )).
% 12.32/12.53 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u20381) | c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~c_List_Olinorder__class_Osorted(_u20381, _u20383) | hBOOL(hAPP(hAPP(c_member(_u20381), skolem495(_u20383, _u20382, _u20381)), hAPP(c_List_Oset(_u20381), _u20383))) )).
% 12.32/12.53 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u20381) | c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~c_List_Olinorder__class_Osorted(_u20381, _u20383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20381), _u20382), skolem495(_u20383, _u20382, _u20381))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | c_List_Olinorder__class_Osorted(_u20388, _u20389) )).
% 12.32/12.53 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | c_List_Olinorder__class_Osorted(_u20388, _u20390) )).
% 12.32/12.53 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~hBOOL(hAPP(hAPP(c_member(_u20388), _u20385), hAPP(c_List_Oset(_u20388), _u20389))) | ~hBOOL(hAPP(hAPP(c_member(_u20388), _u20384), hAPP(c_List_Oset(_u20388), _u20390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20388), _u20385), _u20384)) )).
% 12.32/12.53 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | hBOOL(hAPP(hAPP(c_member(_u20388), skolem496(_u20390, _u20389, _u20388)), hAPP(c_List_Oset(_u20388), _u20389))) )).
% 12.32/12.53 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | hBOOL(hAPP(hAPP(c_member(_u20388), skolem497(_u20390, _u20389, _u20388)), hAPP(c_List_Oset(_u20388), _u20390))) )).
% 12.32/12.53 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20388), skolem496(_u20390, _u20389, _u20388)), skolem497(_u20390, _u20389, _u20388))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u20391) | ~c_List_Olinorder__class_Osorted(_u20391, _u20392) | c_List_Olinorder__class_Osorted(_u20391, hAPP(hAPP(c_List_Odrop(_u20391), _u20393), _u20392)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20394), c_List_Oupt(_u20395, _u20396)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20395), _u20394), _u20396)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20397), _u20398)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20397, _u20398)) = _u20397) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u20399) | ~c_List_Olinorder__class_Osorted(_u20399, _u20400) | c_List_Olinorder__class_Osorted(_u20399, c_List_Olinorder__class_Oinsort__insert__key(_u20399, _u20399, c_COMBI(_u20399), _u20401, _u20400)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20404), _u20406)) | ( c_List_Oupt(_u20404, _u20406) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20404), c_List_Oupt(hAPP(c_Nat_OSuc, _u20404), _u20406))) )).
% 12.32/12.53 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20405), _u20407)) | ( c_List_Oupt(_u20405, _u20407) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20408), _u20409)) | ( c_List_Oupt(_u20408, _u20409) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20408), c_List_Oupt(hAPP(c_Nat_OSuc, _u20408), _u20409))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20410, _u20411)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20410), _u20411)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20412), _u20413) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20412, _u20413))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20414) | ~c_List_Olinorder__class_Osorted(_u20414, _u20415) | ~hBOOL(hAPP(c_List_Odistinct(_u20414), _u20415)) | ~c_List_Olinorder__class_Osorted(_u20414, _u20416) | ~hBOOL(hAPP(c_List_Odistinct(_u20414), _u20416)) | ( hAPP(c_List_Oset(_u20414), _u20415) != hAPP(c_List_Oset(_u20414), _u20416)) | ( _u20415 = _u20416) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20417) | ~c_List_Olinorder__class_Osorted(_u20417, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20417, _u20417, c_COMBI(_u20417)), _u20418), _u20419)) | c_List_Olinorder__class_Osorted(_u20417, _u20419) )).
% 12.32/12.53 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u20417) | ~c_List_Olinorder__class_Osorted(_u20417, _u20419) | c_List_Olinorder__class_Osorted(_u20417, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20417, _u20417, c_COMBI(_u20417)), _u20418), _u20419)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20420, _u20421))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20422) | ~c_List_Olinorder__class_Osorted(_u20422, _u20423) | c_List_Olinorder__class_Osorted(_u20422, c_List_Oremove1(_u20422, _u20424, _u20423)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20425, _u20426)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20427, _u20428)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 12.32/12.53 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, _u20429), _u20430)) = c_List_Oupt(_u20429, _u20430)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u20431) | c_List_Olinorder__class_Osorted(_u20431, c_List_Olist_ONil(_u20431)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u20432, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u20433) | ~c_List_Olinorder__class_Osorted(_u20433, _u20434) | c_List_Olinorder__class_Osorted(_u20433, hAPP(hAPP(c_List_Otake(_u20433), _u20435), _u20434)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u20436) | ~c_List_Olinorder__class_Osorted(_u20436, _u20437) | c_List_Olinorder__class_Osorted(_u20436, hAPP(c_List_Otl(_u20436), _u20437)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 12.32/12.53 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), _u20440)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442)))) )).
% 12.32/12.53 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), _u20441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20443))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20441), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20443)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u20444) | ~c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20445, _u20444, _u20446), _u20447), _u20448))) | c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), _u20448)) )).
% 12.32/12.53 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u20444) | ~c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), _u20448)) | c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20445, _u20444, _u20446), _u20447), _u20448))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20449) | ~c_List_Olinorder__class_Osorted(_u20449, hAPP(hAPP(c_List_Omap(_u20450, _u20449), _u20451), _u20452)) | c_List_Olinorder__class_Osorted(_u20449, hAPP(hAPP(c_List_Omap(_u20450, _u20449), _u20451), c_List_Oremove1(_u20450, _u20453, _u20452))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20454, _u20455)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20454), hAPP(c_Nat_OSuc, _u20455))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u20456) | ~c_List_Olinorder__class_Osorted(_u20456, hAPP(hAPP(c_List_Omap(_u20457, _u20456), _u20458), _u20459)) | c_List_Olinorder__class_Osorted(_u20456, hAPP(hAPP(c_List_Omap(_u20457, _u20456), _u20458), c_List_Olinorder__class_Oinsort__insert__key(_u20457, _u20456, _u20458, _u20460, _u20459))) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20465), _u20467)) )).
% 12.32/12.53 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | ( _u20465 = _u20469) )).
% 12.32/12.53 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20465), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20467) = _u20471) )).
% 12.32/12.53 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20466), _u20468)) | ( _u20466 != _u20470) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20466), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20468) != _u20472) | ( c_List_Oupt(_u20466, _u20468) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20470), _u20472)) )).
% 12.32/12.53
% 12.32/12.53 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 12.32/12.53 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20473) | ~c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Omap(_u20474, _u20473), _u20475), _u20476)) | ~hBOOL(hAPP(_u20477, _u20478)) | ( hAPP(c_List_Ofilter(_u20474, _u20477), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20474, _u20473, _u20475), _u20478), _u20476)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20474, _u20473, _u20475), _u20478), hAPP(c_List_Ofilter(_u20474, _u20477), _u20476))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20479), hAPP(c_List_Onth(_u20479), _u20480)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20479)), _u20480))) = _u20480) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20481, _u20482) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20481, hAPP(c_Nat_OSuc, _u20482)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20483) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20483))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20484) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20484), _u20485), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20486, _u20487))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20484), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20484), _u20485), c_List_Oupt(_u20486, _u20487)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20488) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20488), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20488), _u20489), c_List_Oupt(_u20490, _u20491))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20488), _u20489), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20490, _u20491)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 12.32/12.54 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), _u20492), _u20493)), _u20494)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20492, _u20494)), _u20493) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20492), _u20493)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20495, _u20496) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20495), hAPP(c_Nat_OSuc, _u20496)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u20499) | ~c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~hBOOL(hAPP(hAPP(c_member(_u20499), _u20497), hAPP(c_List_Oset(_u20499), _u20501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20499), _u20500), _u20497)) )).
% 12.32/12.54 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u20499) | ~c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | c_List_Olinorder__class_Osorted(_u20499, _u20501) )).
% 12.32/12.54 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u20499) | c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~c_List_Olinorder__class_Osorted(_u20499, _u20501) | hBOOL(hAPP(hAPP(c_member(_u20499), skolem498(_u20501, _u20500, _u20499)), hAPP(c_List_Oset(_u20499), _u20501))) )).
% 12.32/12.54 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u20499) | c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~c_List_Olinorder__class_Osorted(_u20499, _u20501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20499), _u20500), skolem498(_u20501, _u20500, _u20499))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20502, _u20503) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20502), _u20503))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20505), _u20506))) | ( hAPP(hAPP(c_List_Onth(_u20507), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20507), _u20508), c_List_Oupt(_u20506, _u20505))), _u20504) = hAPP(_u20508, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20506), _u20504))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | ( hAPP(c_List_Oset(_u20509), c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510)) = _u20510) )).
% 12.32/12.54 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | c_List_Olinorder__class_Osorted(_u20509, c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510)) )).
% 12.32/12.54 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | hBOOL(hAPP(c_List_Odistinct(_u20509), c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20511) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20511)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20512) | ~hBOOL(hAPP(hAPP(c_member(_u20512), _u20513), hAPP(c_List_Oset(_u20512), _u20514))) | ~c_List_Olinorder__class_Osorted(_u20512, _u20514) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20512, _u20512, c_COMBI(_u20512)), _u20513), c_List_Oremove1(_u20512, _u20513, _u20514)) = _u20514) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20519) | ~c_List_Olinorder__class_Osorted(_u20519, _u20520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20516), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20519)), _u20520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20515), _u20516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20519), hAPP(hAPP(c_List_Onth(_u20519), _u20520), _u20515)), hAPP(hAPP(c_List_Onth(_u20519), _u20520), _u20516))) )).
% 12.32/12.54 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem499(_u20520, _u20519)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20519)), _u20520))) )).
% 12.32/12.54 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem500(_u20520, _u20519)), skolem499(_u20520, _u20519))) )).
% 12.32/12.54 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20519), hAPP(hAPP(c_List_Onth(_u20519), _u20520), skolem500(_u20520, _u20519))), hAPP(hAPP(c_List_Onth(_u20519), _u20520), skolem499(_u20520, _u20519)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20521) | ~c_List_Olinorder__class_Osorted(_u20521, _u20522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20523), _u20524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20524), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)), _u20522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20521), hAPP(hAPP(c_List_Onth(_u20521), _u20522), _u20523)), hAPP(hAPP(c_List_Onth(_u20521), _u20522), _u20524))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20525) | ~c_Fun_Oinj__on(_u20526, _u20525, _u20527, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20526, tc_HOL_Obool)), hAPP(c_List_Oset(_u20526), _u20528)), hAPP(c_List_Oset(_u20526), _u20529))) | ~c_List_Olinorder__class_Osorted(_u20525, hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20528)) | ~hBOOL(hAPP(c_List_Odistinct(_u20525), hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20528))) | ~c_List_Olinorder__class_Osorted(_u20525, hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20529)) | ~hBOOL(hAPP(c_List_Odistinct(_u20525), hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20529))) | ( hAPP(c_List_Oset(_u20526), _u20528) != hAPP(c_List_Oset(_u20526), _u20529)) | ( _u20528 = _u20529) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20530, tc_Nat_Onat), _u20530), c_Product__Type_Ofst(_u20530, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20530, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20530, tc_Nat_Onat))), _u20531)), hAPP(hAPP(c_List_Ozip(_u20530, tc_Nat_Onat), _u20532), c_List_Oupt(_u20533, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20533), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20530)), _u20532)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20530, tc_Nat_Onat), _u20530), c_Product__Type_Ofst(_u20530, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20530, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20530, tc_Nat_Onat))), _u20533))), _u20531)), hAPP(hAPP(c_List_Ozip(_u20530, tc_Nat_Onat), _u20532), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20530)), _u20532)))))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose__rectangle-1, axiom, ( ( _u20535 = c_List_Olist_ONil(tc_List_Olist(_u20536))) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20537, _u20536, _u20535)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535))) )).
% 12.32/12.54 cnf(fact_transpose__rectangle-2, axiom, ( ( _u20535 = c_List_Olist_ONil(tc_List_Olist(_u20536))) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535), skolem501(_u20537, _u20536, _u20535))) != _u20537) )).
% 12.32/12.54 cnf(fact_transpose__rectangle-3, axiom, ( ( _u20537 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20537, _u20536, _u20535)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535))) )).
% 12.32/12.54 cnf(fact_transpose__rectangle-4, axiom, ( ( _u20537 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535), skolem501(_u20537, _u20536, _u20535))) != _u20537) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20538)), c_List_Otranspose__rel(_u20538)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20538)), c_List_Olist_ONil(_u20538)), _u20539))) | ( c_List_Otranspose(_u20538, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20538)), c_List_Olist_ONil(_u20538)), _u20539)) = c_List_Otranspose(_u20538, _u20539)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20540)), c_List_Otranspose__rel(_u20540)), c_List_Olist_ONil(tc_List_Olist(_u20540)))) | ( c_List_Otranspose(_u20540, c_List_Olist_ONil(tc_List_Olist(_u20540))) = c_List_Olist_ONil(tc_List_Olist(_u20540))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20541), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20541))), _u20542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20543), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20541))), _u20542))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20541), _u20541), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20541), tc_Nat_Onat, _u20541), c_List_Onth(_u20541)), _u20543)), hAPP(c_List_Ofilter(tc_List_Olist(_u20541), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20541)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20543)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20541)))), c_List_Otranspose(_u20541, _u20542))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20541)), _u20542), _u20543)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u20544, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20544), tc_List_Olist(_u20544)), c_List_Olist_Olist__case(tc_List_Olist(_u20544), _u20544, c_List_Olist_ONil(_u20544), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20544), tc_fun(tc_List_Olist(_u20544), tc_List_Olist(_u20544)), _u20544), c_COMBK(tc_List_Olist(_u20544), tc_List_Olist(_u20544))), hAPP(hAPP(c_COMBC(_u20544, tc_List_Olist(_u20544), tc_List_Olist(_u20544)), c_List_Olist_OCons(_u20544)), c_List_Olist_ONil(_u20544))))), _u20545)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20544), _u20544), c_List_Ohd(_u20544)), hAPP(c_List_Ofilter(tc_List_Olist(_u20544), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20544)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20544), tc_List_Olist(_u20544), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20544)))), _u20545))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u20546), tc_List_Olist(_u20546), c_List_Orev(_u20546), _u20547) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u20548, _u20549), c_List_Oconcat(_u20548, _u20550)) = c_List_Oconcat(_u20548, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(_u20548)), c_List_Ofilter(_u20548, _u20549)), _u20550))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20551)), c_List_Oconcat(_u20551, _u20552)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20551), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20551))), _u20552))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u20553), hAPP(hAPP(c_List_Olist_OCons(_u20553), _u20554), _u20555)) = hAPP(hAPP(c_List_Oappend(_u20553), hAPP(c_List_Orev(_u20553), _u20555)), hAPP(hAPP(c_List_Olist_OCons(_u20553), _u20554), c_List_Olist_ONil(_u20553)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u20560), _u20562) != hAPP(hAPP(c_List_Olist_OCons(_u20560), _u20564), _u20566)) | ( _u20562 = hAPP(hAPP(c_List_Oappend(_u20560), hAPP(c_List_Orev(_u20560), _u20566)), hAPP(hAPP(c_List_Olist_OCons(_u20560), _u20564), c_List_Olist_ONil(_u20560)))) )).
% 12.32/12.54 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u20563 != hAPP(hAPP(c_List_Oappend(_u20561), hAPP(c_List_Orev(_u20561), _u20567)), hAPP(hAPP(c_List_Olist_OCons(_u20561), _u20565), c_List_Olist_ONil(_u20561)))) | ( hAPP(c_List_Orev(_u20561), _u20563) = hAPP(hAPP(c_List_Olist_OCons(_u20561), _u20565), _u20567)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u20568, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20568)), _u20569), _u20570)) = hAPP(hAPP(c_List_Oappend(_u20568), _u20569), c_List_Oconcat(_u20568, _u20570))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20574), _u20576), c_List_Olist_ONil(_u20574)) != hAPP(c_List_Orev(_u20574), _u20578)) | ( _u20578 = hAPP(hAPP(c_List_Olist_OCons(_u20574), _u20576), c_List_Olist_ONil(_u20574))) )).
% 12.32/12.54 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u20579 != hAPP(hAPP(c_List_Olist_OCons(_u20575), _u20577), c_List_Olist_ONil(_u20575))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20575), _u20577), c_List_Olist_ONil(_u20575)) = hAPP(c_List_Orev(_u20575), _u20579)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20583), _u20585) != hAPP(hAPP(c_List_Olist_OCons(_u20583), _u20587), c_List_Olist_ONil(_u20583))) | ( _u20585 = hAPP(hAPP(c_List_Olist_OCons(_u20583), _u20587), c_List_Olist_ONil(_u20583))) )).
% 12.32/12.54 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u20586 != hAPP(hAPP(c_List_Olist_OCons(_u20584), _u20588), c_List_Olist_ONil(_u20584))) | ( hAPP(c_List_Orev(_u20584), _u20586) = hAPP(hAPP(c_List_Olist_OCons(_u20584), _u20588), c_List_Olist_ONil(_u20584))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u20593) != c_List_Oconcat(_u20593, _u20595)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20593)), _u20589), hAPP(c_List_Oset(tc_List_Olist(_u20593)), _u20595))) | ( _u20589 = c_List_Olist_ONil(_u20593)) )).
% 12.32/12.54 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u20594) = c_List_Oconcat(_u20594, _u20596)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20594)), skolem502(_u20596, _u20594)), hAPP(c_List_Oset(tc_List_Olist(_u20594)), _u20596))) )).
% 12.32/12.54 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u20594) = c_List_Oconcat(_u20594, _u20596)) | ( skolem502(_u20596, _u20594) != c_List_Olist_ONil(_u20594)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u20601, _u20603) != c_List_Olist_ONil(_u20601)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20601)), _u20597), hAPP(c_List_Oset(tc_List_Olist(_u20601)), _u20603))) | ( _u20597 = c_List_Olist_ONil(_u20601)) )).
% 12.32/12.54 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u20602, _u20604) = c_List_Olist_ONil(_u20602)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20602)), skolem503(_u20604, _u20602)), hAPP(c_List_Oset(tc_List_Olist(_u20602)), _u20604))) )).
% 12.32/12.54 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u20602, _u20604) = c_List_Olist_ONil(_u20602)) | ( skolem503(_u20604, _u20602) != c_List_Olist_ONil(_u20602)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20607), _u20609) != c_List_Olist_ONil(_u20607)) | ( _u20609 = c_List_Olist_ONil(_u20607)) )).
% 12.32/12.54 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u20610 != c_List_Olist_ONil(_u20608)) | ( hAPP(c_List_Orev(_u20608), _u20610) = c_List_Olist_ONil(_u20608)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u20613) != hAPP(c_List_Orev(_u20613), _u20615)) | ( _u20615 = c_List_Olist_ONil(_u20613)) )).
% 12.32/12.54 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u20616 != c_List_Olist_ONil(_u20614)) | ( c_List_Olist_ONil(_u20614) = hAPP(c_List_Orev(_u20614), _u20616)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u20617, c_List_Olist_ONil(tc_List_Olist(_u20617))) = c_List_Olist_ONil(_u20617)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u20618), c_List_Olist_ONil(_u20618)) = c_List_Olist_ONil(_u20618)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20619, _u20620), _u20621), c_List_Oconcat(_u20619, _u20622)) = c_List_Oconcat(_u20620, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20619), tc_List_Olist(_u20620)), hAPP(c_List_Omap(_u20619, _u20620), _u20621)), _u20622))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u20623), hAPP(hAPP(c_List_Omap(_u20624, _u20623), _u20625), _u20626)) = hAPP(hAPP(c_List_Omap(_u20624, _u20623), _u20625), hAPP(c_List_Orev(_u20624), _u20626))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u20627), c_List_Oconcat(_u20627, _u20628)) = c_List_Oconcat(_u20627, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20627), tc_List_Olist(_u20627)), c_List_Orev(_u20627)), hAPP(c_List_Orev(tc_List_Olist(_u20627)), _u20628)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u20629, _u20630) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20629), tc_List_Olist(_u20629), c_List_Oappend(_u20629), c_List_Olist_ONil(_u20629)), _u20630)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u20631), _u20632) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20631), _u20631, hAPP(c_COMBC(_u20631, tc_List_Olist(_u20631), tc_List_Olist(_u20631)), c_List_Olist_OCons(_u20631)), c_List_Olist_ONil(_u20631)), _u20632)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20633), tc_List_Olist(_u20633), c_List_Oappend(_u20633), _u20634), _u20635) = hAPP(hAPP(c_List_Oappend(_u20633), _u20634), c_List_Oconcat(_u20633, _u20635))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20638), hAPP(c_List_Orev(_u20638), _u20640))) | hBOOL(hAPP(c_List_Odistinct(_u20638), _u20640)) )).
% 12.32/12.54 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20639), _u20641)) | hBOOL(hAPP(c_List_Odistinct(_u20639), hAPP(c_List_Orev(_u20639), _u20641))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u20642, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20642)), _u20643), _u20644)) = hAPP(hAPP(c_List_Oappend(_u20642), c_List_Oconcat(_u20642, _u20643)), c_List_Oconcat(_u20642, _u20644))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u20645), hAPP(hAPP(c_List_Oappend(_u20645), _u20646), _u20647)) = hAPP(hAPP(c_List_Oappend(_u20645), hAPP(c_List_Orev(_u20645), _u20647)), hAPP(c_List_Orev(_u20645), _u20646))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u20648), c_List_Oconcat(_u20648, _u20649)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20648), tc_fun(_u20648, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20648)), _u20649)), c_List_Oset(_u20648))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20650)), hAPP(c_List_Orev(_u20650), _u20651)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20650)), _u20651)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20652) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20652), hAPP(c_List_Orev(_u20652), _u20653)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20652), _u20653)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u20654), hAPP(c_List_Orev(_u20654), _u20655)) = _u20655) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u20659), _u20661) != _u20663) | ( _u20661 = hAPP(c_List_Orev(_u20659), _u20663)) )).
% 12.32/12.54 cnf(fact_rev__swap-2, axiom, ( ( _u20662 != hAPP(c_List_Orev(_u20660), _u20664)) | ( hAPP(c_List_Orev(_u20660), _u20662) = _u20664) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u20670 = _u20672) | ( hAPP(c_List_Orev(_u20668), _u20670) != hAPP(c_List_Orev(_u20668), _u20672)) )).
% 12.32/12.54 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u20671 != _u20673) | ( hAPP(c_List_Orev(_u20669), _u20671) = hAPP(c_List_Orev(_u20669), _u20673)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u20674, _u20675, _u20676, _u20677), _u20678) = c_List_Ofoldr(_u20675, _u20674, hAPP(c_COMBC(_u20674, _u20675, _u20674), _u20676), hAPP(c_List_Orev(_u20675), _u20678), _u20677)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u20679, _u20680, _u20681, _u20682, _u20683) = hAPP(c_List_Ofoldl(_u20680, _u20679, hAPP(c_COMBC(_u20679, _u20680, _u20680), _u20681), _u20683), hAPP(c_List_Orev(_u20679), _u20682))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u20684), hAPP(c_List_Orev(_u20684), _u20685)) = hAPP(c_List_Oset(_u20684), _u20685)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20686)), _u20687) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20688)), _u20689)) | ( hAPP(hAPP(c_List_Ozip(_u20686, _u20688), hAPP(c_List_Orev(_u20686), _u20687)), hAPP(c_List_Orev(_u20688), _u20689)) = hAPP(c_List_Orev(tc_prod(_u20686, _u20688)), hAPP(hAPP(c_List_Ozip(_u20686, _u20688), _u20687), _u20689))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u20690), hAPP(c_List_Ofilter(_u20690, _u20691), _u20692)) = hAPP(c_List_Ofilter(_u20690, _u20691), hAPP(c_List_Orev(_u20690), _u20692))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_hd__rev-1, axiom, ( ( _u20693 = c_List_Olist_ONil(_u20694)) | ( hAPP(c_List_Ohd(_u20694), hAPP(c_List_Orev(_u20694), _u20693)) = c_List_Olast(_u20694, _u20693)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_last__rev-1, axiom, ( ( _u20695 = c_List_Olist_ONil(_u20696)) | ( c_List_Olast(_u20696, hAPP(c_List_Orev(_u20696), _u20695)) = hAPP(c_List_Ohd(_u20696), _u20695)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20697), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20697))), c_List_Otranspose(_u20697, _u20698)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u20699), hAPP(hAPP(c_List_Otake(_u20699), _u20700), _u20701)) = hAPP(hAPP(c_List_Odrop(_u20699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20699)), _u20701)), _u20700)), hAPP(c_List_Orev(_u20699), _u20701))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u20702), hAPP(hAPP(c_List_Odrop(_u20702), _u20703), _u20704)) = hAPP(hAPP(c_List_Otake(_u20702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20702)), _u20704)), _u20703)), hAPP(c_List_Orev(_u20702), _u20704))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u20705, _u20706), hAPP(c_List_Orev(_u20705), _u20707)) = hAPP(c_List_Orev(_u20705), hAPP(c_List_Orotate(_u20705, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20705)), _u20707)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20706, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20705)), _u20707)))), _u20707))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u20708, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), hAPP(hAPP(c_List_Olist_OCons(_u20708), _u20709), _u20710)), _u20711)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), hAPP(hAPP(c_List_Olist_OCons(_u20708), _u20709), c_List_Oconcat(_u20708, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20708), tc_List_Olist(_u20708)), c_List_Olist_Olist__case(tc_List_Olist(_u20708), _u20708, c_List_Olist_ONil(_u20708), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20708), tc_fun(tc_List_Olist(_u20708), tc_List_Olist(_u20708)), _u20708), c_COMBK(tc_List_Olist(_u20708), tc_List_Olist(_u20708))), hAPP(hAPP(c_COMBC(_u20708, tc_List_Olist(_u20708), tc_List_Olist(_u20708)), c_List_Olist_OCons(_u20708)), c_List_Olist_ONil(_u20708))))), _u20711)))), c_List_Otranspose(_u20708, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), _u20710), c_List_Oconcat(tc_List_Olist(_u20708), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20708)), _u20708, c_List_Olist_ONil(tc_List_Olist(_u20708)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708))), _u20708), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708)), tc_List_Olist(tc_List_Olist(_u20708))), c_List_Olist_OCons(tc_List_Olist(_u20708))), c_List_Olist_ONil(tc_List_Olist(_u20708)))))), _u20711)))))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20712), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20713)), _u20714))) | ( hAPP(hAPP(c_List_Onth(_u20713), hAPP(c_List_Orev(_u20713), _u20714)), _u20712) = hAPP(hAPP(c_List_Onth(_u20713), _u20714), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20713)), _u20714)), hAPP(c_Nat_OSuc, _u20712)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u20716, _u20717) != c_List_Oconcat(_u20716, _u20718)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20717) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20718)) | ( _u20717 = _u20718) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20716), tc_List_Olist(_u20716))), skolem504(_u20718, _u20717, _u20716)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20716), tc_List_Olist(_u20716))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20716), tc_List_Olist(_u20716)), _u20717), _u20718)))) )).
% 12.32/12.54 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u20716, _u20717) != c_List_Oconcat(_u20716, _u20718)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20717) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20718)) | ( _u20717 = _u20718) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20716), tc_List_Olist(_u20716), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20716), tc_fun(tc_List_Olist(_u20716), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20716), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20716), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20716), tc_HOL_Obool)), tc_List_Olist(_u20716)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20716))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20716)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20716))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20716)))), skolem504(_u20718, _u20717, _u20716))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), skolem505(_u20722, _u20721, _u20720)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20720), tc_List_Olist(_u20720)), _u20721), _u20722)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( c_List_Oconcat(_u20720, _u20721) != c_List_Oconcat(_u20720, _u20722)) | ( _u20721 = _u20722) )).
% 12.32/12.54 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), skolem505(_u20722, _u20721, _u20720)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20720), tc_List_Olist(_u20720)), _u20721), _u20722)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( _u20721 != _u20722) | ( c_List_Oconcat(_u20720, _u20721) = c_List_Oconcat(_u20720, _u20722)) )).
% 12.32/12.54 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20720), tc_List_Olist(_u20720), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20720), tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), tc_List_Olist(_u20720)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20720))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20720)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720)))), skolem505(_u20722, _u20721, _u20720))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( c_List_Oconcat(_u20720, _u20721) != c_List_Oconcat(_u20720, _u20722)) | ( _u20721 = _u20722) )).
% 12.32/12.54 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20720), tc_List_Olist(_u20720), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20720), tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), tc_List_Olist(_u20720)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20720))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20720)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720)))), skolem505(_u20722, _u20721, _u20720))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( _u20721 != _u20722) | ( c_List_Oconcat(_u20720, _u20721) = c_List_Oconcat(_u20720, _u20722)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20723), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20724)), _u20725))) | ( hAPP(c_List_Orev(_u20724), hAPP(hAPP(c_List_Olist__update(_u20724, _u20725), _u20723), _u20726)) = hAPP(hAPP(c_List_Olist__update(_u20724, hAPP(c_List_Orev(_u20724), _u20725)), 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(_u20724)), _u20725)), _u20723)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20726)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u20727, hAPP(hAPP(c_List_Omap(_u20728, tc_List_Olist(_u20727)), hAPP(hAPP(c_COMBC(_u20728, tc_List_Olist(_u20727), tc_List_Olist(_u20727)), hAPP(hAPP(c_COMBB(_u20727, tc_fun(tc_List_Olist(_u20727), tc_List_Olist(_u20727)), _u20728), c_List_Olist_OCons(_u20727)), _u20729)), c_List_Olist_ONil(_u20727))), _u20730)) = hAPP(hAPP(c_List_Omap(_u20728, _u20727), _u20729), _u20730)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20731) | ~c_List_Olinorder__class_Osorted(_u20731, hAPP(c_List_Orev(_u20731), _u20732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20733), _u20734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20734), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20731)), _u20732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20731), hAPP(hAPP(c_List_Onth(_u20731), _u20732), _u20734)), hAPP(hAPP(c_List_Onth(_u20731), _u20732), _u20733))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u20735) | ~c_List_Olinorder__class_Osorted(_u20735, hAPP(c_List_Orev(_u20735), _u20736)) | ( _u20736 != c_List_Olist_ONil(_u20735)) | ( c_List_Ofoldr(_u20735, _u20735, c_Orderings_Oord__class_Omax(_u20735), _u20736, _u20737) = _u20737) )).
% 12.32/12.54 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u20735) | ~c_List_Olinorder__class_Osorted(_u20735, hAPP(c_List_Orev(_u20735), _u20736)) | ( _u20736 = c_List_Olist_ONil(_u20735)) | ( c_List_Ofoldr(_u20735, _u20735, c_Orderings_Oord__class_Omax(_u20735), _u20736, _u20737) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20735), hAPP(hAPP(c_List_Onth(_u20735), _u20736), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20737)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20738)), c_List_Otranspose__rel(_u20738)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), _u20740)), _u20741))) | ( c_List_Otranspose(_u20738, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), _u20740)), _u20741)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), c_List_Oconcat(_u20738, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20738), tc_List_Olist(_u20738)), c_List_Olist_Olist__case(tc_List_Olist(_u20738), _u20738, c_List_Olist_ONil(_u20738), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20738), tc_fun(tc_List_Olist(_u20738), tc_List_Olist(_u20738)), _u20738), c_COMBK(tc_List_Olist(_u20738), tc_List_Olist(_u20738))), hAPP(hAPP(c_COMBC(_u20738, tc_List_Olist(_u20738), tc_List_Olist(_u20738)), c_List_Olist_OCons(_u20738)), c_List_Olist_ONil(_u20738))))), _u20741)))), c_List_Otranspose(_u20738, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), _u20740), c_List_Oconcat(tc_List_Olist(_u20738), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20738)), _u20738, c_List_Olist_ONil(tc_List_Olist(_u20738)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738))), _u20738), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738)), tc_List_Olist(tc_List_Olist(_u20738))), c_List_Olist_OCons(tc_List_Olist(_u20738))), c_List_Olist_ONil(tc_List_Olist(_u20738)))))), _u20741)))))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20742), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20742))), _u20743))) | ( _u20743 != c_List_Olist_ONil(tc_List_Olist(_u20742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20742))), c_List_Otranspose(_u20742, _u20743)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 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(_u20742), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20742))), _u20743))) | ( _u20743 = c_List_Olist_ONil(tc_List_Olist(_u20742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20742))), c_List_Otranspose(_u20742, _u20743)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20742)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20742)), _u20743), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20744), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20744))), _u20745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20746), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20744))), _u20745))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20744))), hAPP(c_List_Ofilter(tc_List_Olist(_u20744), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20744)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20746)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20744)))), c_List_Otranspose(_u20744, _u20745))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20744)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20744)), _u20745), _u20746))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u20747), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20747)), _u20747, c_List_Olist_ONil(tc_List_Olist(_u20747)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747))), _u20747), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747)), tc_List_Olist(tc_List_Olist(_u20747))), c_List_Olist_OCons(tc_List_Olist(_u20747))), c_List_Olist_ONil(tc_List_Olist(_u20747)))))), _u20748)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20747), tc_List_Olist(_u20747)), c_List_Otl(_u20747)), hAPP(c_List_Ofilter(tc_List_Olist(_u20747), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20747)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20747), tc_List_Olist(_u20747), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20747)))), _u20748))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20749), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20749))), _u20750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20749))), c_List_Otranspose(_u20749, _u20750)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20749))), hAPP(c_List_Ofilter(tc_List_Olist(_u20749), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20749)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20751)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20749)))), _u20750)))) | ( hAPP(hAPP(c_List_Onth(_u20749), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20749)), c_List_Otranspose(_u20749, _u20750)), _u20751)), _u20752) = hAPP(hAPP(c_List_Onth(_u20749), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20749)), _u20750), _u20752)), _u20751)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20753), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20753))), _u20754))) | ( c_List_Otranspose(_u20753, c_List_Otranspose(_u20753, _u20754)) = c_List_OtakeWhile(tc_List_Olist(_u20753), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20753)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20753), tc_List_Olist(_u20753), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20753))), _u20754)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transfer__nat__int__list__functions_I2_J-1, axiom, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u20755, _u20756, hAPP(hAPP(c_List_Omap(_u20757, _u20755), _u20758), _u20759)) = hAPP(hAPP(c_List_Omap(_u20757, _u20755), _u20758), c_List_OtakeWhile(_u20757, hAPP(c_Fun_Ocomp(_u20755, tc_HOL_Obool, _u20757, _u20756), _u20758), _u20759))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u20760) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u20760)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u20761, _u20762), _u20763), c_List_OtakeWhile(_u20762, _u20764, _u20765)) = c_List_OtakeWhile(tc_prod(_u20761, _u20762), hAPP(c_Fun_Ocomp(_u20762, tc_HOL_Obool, tc_prod(_u20761, _u20762), _u20764), c_Product__Type_Osnd(_u20761, _u20762)), hAPP(hAPP(c_List_Ozip(_u20761, _u20762), _u20763), _u20765))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u20766, _u20767), c_List_OtakeWhile(_u20766, _u20768, _u20769)), _u20770) = c_List_OtakeWhile(tc_prod(_u20766, _u20767), hAPP(c_Fun_Ocomp(_u20766, tc_HOL_Obool, tc_prod(_u20766, _u20767), _u20768), c_Product__Type_Ofst(_u20766, _u20767)), hAPP(hAPP(c_List_Ozip(_u20766, _u20767), _u20769), _u20770))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), c_List_OtakeWhile(_u20771, _u20773, _u20774)))) | hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), _u20774))) )).
% 12.32/12.54 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), c_List_OtakeWhile(_u20771, _u20773, _u20774)))) | hBOOL(hAPP(_u20773, _u20772)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u20780, _u20782, _u20784) != _u20784) | ~hBOOL(hAPP(hAPP(c_member(_u20780), _u20775), hAPP(c_List_Oset(_u20780), _u20784))) | hBOOL(hAPP(_u20782, _u20775)) )).
% 12.32/12.54 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u20781, _u20783, _u20785) = _u20785) | hBOOL(hAPP(hAPP(c_member(_u20781), skolem506(_u20785, _u20783, _u20781)), hAPP(c_List_Oset(_u20781), _u20785))) )).
% 12.32/12.54 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u20781, _u20783, _u20785) = _u20785) | ~hBOOL(hAPP(_u20783, skolem506(_u20785, _u20783, _u20781))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20786)), c_List_OtakeWhile(_u20786, _u20787, _u20788))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20786)), _u20788))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u20789, _u20790, _u20791) = hAPP(hAPP(c_List_Otake(_u20789), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20789)), c_List_OtakeWhile(_u20789, _u20790, _u20791))), _u20791)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20792), _u20793)) | hBOOL(hAPP(c_List_Odistinct(_u20792), c_List_OtakeWhile(_u20792, _u20794, _u20793))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u20795, _u20796, c_List_Olist_ONil(_u20795)) = c_List_Olist_ONil(_u20795)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u20797) | ~c_List_Olinorder__class_Osorted(_u20797, _u20798) | c_List_Olinorder__class_Osorted(_u20797, c_List_OtakeWhile(_u20797, _u20799, _u20798)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20804, _u20806)) | ( c_List_OtakeWhile(_u20808, _u20804, hAPP(hAPP(c_List_Olist_OCons(_u20808), _u20806), _u20810)) = hAPP(hAPP(c_List_Olist_OCons(_u20808), _u20806), c_List_OtakeWhile(_u20808, _u20804, _u20810))) )).
% 12.32/12.54 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20805, _u20807)) | ( c_List_OtakeWhile(_u20809, _u20805, hAPP(hAPP(c_List_Olist_OCons(_u20809), _u20807), _u20811)) = c_List_Olist_ONil(_u20809)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u20812, _u20813)) | ( c_List_OtakeWhile(_u20814, _u20812, hAPP(hAPP(c_List_Oappend(_u20814), _u20815), hAPP(hAPP(c_List_Olist_OCons(_u20814), _u20813), _u20816))) = c_List_OtakeWhile(_u20814, _u20812, _u20815)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20817), _u20818), hAPP(c_List_Oset(_u20817), _u20819))) | hBOOL(hAPP(_u20820, _u20818)) | ( c_List_OtakeWhile(_u20817, _u20820, hAPP(hAPP(c_List_Oappend(_u20817), _u20819), _u20821)) = c_List_OtakeWhile(_u20817, _u20820, _u20819)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20822), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20823)), c_List_OtakeWhile(_u20823, _u20824, _u20825)))) | ( hAPP(hAPP(c_List_Onth(_u20823), c_List_OtakeWhile(_u20823, _u20824, _u20825)), _u20822) = hAPP(hAPP(c_List_Onth(_u20823), _u20825), _u20822)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 12.32/12.54 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(_u20826)), c_List_OtakeWhile(_u20826, _u20827, _u20828))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20826)), _u20828))) | ~hBOOL(hAPP(_u20827, hAPP(hAPP(c_List_Onth(_u20826), _u20828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20826)), c_List_OtakeWhile(_u20826, _u20827, _u20828))))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_map__upds__def ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_map__upds__def-1, axiom, ( ( c_Map_Omap__upds(_u20829, _u20830, _u20831, _u20832, _u20833) = c_Map_Omap__add(_u20829, _u20830, _u20831, c_Map_Omap__of(_u20829, _u20830, hAPP(c_List_Orev(tc_prod(_u20829, _u20830)), hAPP(hAPP(c_List_Ozip(_u20829, _u20830), _u20832), _u20833))))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u20834 = c_List_Olist_ONil(_u20835)) | ~hBOOL(hAPP(c_List_Odistinct(_u20835), _u20834)) | ( c_List_OtakeWhile(_u20835, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20835), c_fNot), hAPP(hAPP(c_COMBC(_u20835, _u20835, tc_HOL_Obool), c_fequal), c_List_Olast(_u20835, _u20834))), _u20834) = c_List_Obutlast(_u20835, _u20834)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u20836) | ~c_List_Olinorder__class_Osorted(_u20836, hAPP(c_List_Orev(_u20836), hAPP(hAPP(c_List_Omap(_u20837, _u20836), _u20838), _u20839))) | ( hAPP(c_List_Ofilter(_u20837, hAPP(hAPP(c_COMBB(_u20836, tc_HOL_Obool, _u20837), hAPP(c_Orderings_Oord__class_Oless(_u20836), _u20840)), _u20838)), _u20839) = c_List_OtakeWhile(_u20837, hAPP(hAPP(c_COMBB(_u20836, tc_HOL_Obool, _u20837), hAPP(c_Orderings_Oord__class_Oless(_u20836), _u20840)), _u20838), _u20839)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u20841) | ( c_List_Oembed__list(c_List_Oreturn__list(_u20841)) = _u20841) )).
% 12.32/12.54
% 12.32/12.54 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 12.32/12.54 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20842)), c_List_Oremdups(_u20842, c_List_Oconcat(_u20842, _u20843))) = hAPP(c_Finite__Set_Ocard(_u20842), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20842), tc_fun(_u20842, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20842)), _u20843)), c_List_Oset(_u20842)))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20844) | class_Lattices_Obounded__lattice(tc_fun(_u20845, _u20844)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20846) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20847, _u20846)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20848) | class_Lattices_Obounded__lattice__top(tc_fun(_u20849, _u20848)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20850) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20851, _u20850)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20852) | class_Lattices_Osemilattice__sup(tc_fun(_u20853, _u20852)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20854) | class_Lattices_Osemilattice__inf(tc_fun(_u20855, _u20854)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20856) | class_Lattices_Odistrib__lattice(tc_fun(_u20857, _u20856)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20858) | class_Lattices_Oboolean__algebra(tc_fun(_u20859, _u20858)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20860) | class_Orderings_Opreorder(tc_fun(_u20861, _u20860)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20862) | ~class_Finite__Set_Ofinite(_u20863) | class_Finite__Set_Ofinite(tc_fun(_u20862, _u20863)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20864) | class_Lattices_Olattice(tc_fun(_u20865, _u20864)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20866) | class_Orderings_Oorder(tc_fun(_u20867, _u20866)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20868) | class_Orderings_Otop(tc_fun(_u20869, _u20868)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20870) | class_Orderings_Oord(tc_fun(_u20871, _u20870)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20872) | class_Orderings_Obot(tc_fun(_u20873, _u20872)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20874) | class_Groups_Ouminus(tc_fun(_u20875, _u20874)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20876) | class_Groups_Ominus(tc_fun(_u20877, _u20876)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20878) | ~class_Finite__Set_Ofinite(_u20879) | class_Finite__Set_Ofinite(tc_sum(_u20878, _u20879)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20880) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20880)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20881) | ~class_Finite__Set_Ofinite(_u20882) | class_Finite__Set_Ofinite(tc_prod(_u20881, _u20882)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_prod__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_prod__Smallcheck_Osmall-1, axiom, ( ~class_Smallcheck_Osmall(_u20883) | ~class_Smallcheck_Osmall(_u20884) | class_Smallcheck_Osmall(tc_prod(_u20883, _u20884)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Product____Type__Ounit__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Product____Type__Ounit__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 12.32/12.54 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20885), _u20886) = _u20886) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20887, _u20888), _u20889), _u20890) = _u20889) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20891, _u20892, _u20893), _u20894), _u20895), _u20896) = hAPP(_u20894, hAPP(_u20895, _u20896))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20897, _u20898, _u20899), _u20900), _u20901), _u20902) = hAPP(hAPP(_u20900, _u20902), _u20901)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20903, _u20904, _u20905), _u20906), _u20907), _u20908) = hAPP(hAPP(_u20906, _u20908), hAPP(_u20907, _u20908))) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20909), _u20910)) | ( _u20909 = _u20910) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fequal__2-1, axiom, ( ( _u20911 != _u20912) | hBOOL(hAPP(hAPP(c_fequal, _u20911), _u20912)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20913)) | ~hBOOL(_u20913) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20914) | hBOOL(hAPP(c_fNot, _u20914)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20916) | ~hBOOL(_u20915) | hBOOL(hAPP(hAPP(c_fconj, _u20915), _u20916)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20917), _u20918)) | hBOOL(_u20917) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20920) | ~hBOOL(hAPP(hAPP(c_fconj, _u20919), _u20920)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20921) | hBOOL(hAPP(hAPP(c_fdisj, _u20921), _u20922)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20923) | hBOOL(hAPP(hAPP(c_fdisj, _u20924), _u20923)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20926) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20925), _u20926)) | hBOOL(_u20925) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20927) | hBOOL(hAPP(hAPP(c_fimplies, _u20927), _u20928)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20929) | hBOOL(hAPP(hAPP(c_fimplies, _u20930), _u20929)) )).
% 12.32/12.54
% 12.32/12.54 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 12.32/12.54 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20932) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20931), _u20932)) | ~hBOOL(_u20931) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_0-1, hypothesis, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)), _u20933), v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a, v_n, _u20933) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_1-1, hypothesis, ( ~v_P(_u20936, _u20935) | ~c_Natural_Oevaln(v_c, _u20935, v_n, _u20934) | v_Q(_u20936, _u20934) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_2-1, hypothesis, ( ~v_Q(_u20939, _u20938) | ~c_Natural_Oevaln(v_d, _u20938, v_n, _u20937) | v_R(_u20939, _u20937) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_3-1, hypothesis, ( v_P(v_Z, v_s) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_4 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_4-1, hypothesis, ( c_Natural_Oevaln(v_c, v_s, v_n, v_s1) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_5 ( hypothesis ) converted to clauses:
% 12.32/12.54 cnf(conj_5-1, hypothesis, ( c_Natural_Oevaln(v_d, v_s1, v_n, v_s_H) )).
% 12.32/12.54
% 12.32/12.54 % Formula: conj_6 ( conjecture ) (definitionally) converted to clauses:
% 12.32/12.54 cnf(conj_6-1, negated_conjecture, ( ~v_R(v_Z, v_s_H) )).
% 12.32/12.54
% 12.32/12.54 % Problem matrix:
% 12.32/12.54 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.32/12.54 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.32/12.54 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.32/12.54 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-7, 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)) )).
% 12.32/12.54 cnf(matrix-8, 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)) )).
% 12.32/12.54 cnf(matrix-9, 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)) )).
% 12.32/12.54 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__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 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__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( c_Com_Ocom_Ocom__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9) = c_Com_Ocom_Ocom__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9)) )).
% 12.32/12.54 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Osemiring__1__class_Oof__nat__aux(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( c_Com_Ocom_Ocom__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9) = c_Com_Ocom_Ocom__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9)) )).
% 12.32/12.54 cnf(matrix-17, 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)) )).
% 12.32/12.54 cnf(matrix-18, 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)) )).
% 12.32/12.54 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-20, 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)) )).
% 12.32/12.54 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-22, 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)) )).
% 12.32/12.54 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Opair__box_OPairBox(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Opair__box_OPairBox(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Sum__Type_OInl(__eqx_0, __eqx_1) = c_Sum__Type_OInl(__eqy_0, __eqy_1)) )).
% 12.32/12.54 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_Sum__Type_Osum_Osum__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Sum__Type_Osum_Osum__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Sum__Type_OInr(__eqx_0, __eqx_1) = c_Sum__Type_OInr(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Nitpick_Opair__box(__eqx_0, __eqx_1) = tc_Nitpick_Opair__box(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Sum__Type_OProjl(__eqx_0, __eqx_1, __eqx_2) = c_Sum__Type_OProjl(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Sum__Type_OProjr(__eqx_0, __eqx_1, __eqx_2) = c_Sum__Type_OProjr(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-40, plain, ( ( __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_Sum__Type_Osum_Osum__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Sum__Type_Osum_Osum__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OSuml(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OSuml(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OSumr(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OSumr(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Option_Ooption_Ooption__size(__eqx_0, __eqx_1, __eqx_2) = c_Option_Ooption_Ooption__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onat__aux(__eqx_0, __eqx_1) = c_Int_Onat__aux(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Onat__of__aux(__eqx_0, __eqx_1) = c_Code__Numeral_Onat__of__aux(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqx_0) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random_Ominus__shift(__eqx_0, __eqx_1, __eqx_2) = c_Random_Ominus__shift(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oinc__shift(__eqx_0, __eqx_1) = c_Random_Oinc__shift(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2) = c_COMBS(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2) = c_COMBC(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2) = c_COMBB(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int(__eqx_0, __eqx_1) = c_Divides_Odivmod__int(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Odiv__mod__code__numeral(__eqx_0, __eqx_1) = c_Code__Numeral_Odiv__mod__code__numeral(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Osnd(__eqx_0, __eqx_1) = c_Product__Type_Osnd(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Ofst(__eqx_0, __eqx_1) = c_Product__Type_Ofst(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omin(__eqx_0, __eqx_1) = c_Orderings_Oord_Omin(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omax(__eqx_0, __eqx_1) = c_Orderings_Oord_Omax(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_OAbs__Frac(__eqx_0, __eqx_1) = c_Nitpick_OAbs__Frac(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__not__random__dseq(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__not__random__dseq(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onumber__of__frac(__eqx_0, __eqx_1) = c_Nitpick_Onumber__of__frac(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Sum__Type_Osum_Osum__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Sum__Type_Osum_Osum__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random_Oiterate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random_Oiterate(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oplus__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oplus__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-137, 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)) )).
% 12.32/12.54 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Otimes__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Otimes__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oof__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oof__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oinverse__frac(__eqx_0, __eqx_1) = c_Nitpick_Oinverse__frac(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ouminus__frac(__eqx_0, __eqx_1) = c_Nitpick_Ouminus__frac(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__empty(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__empty(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_ORandom(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_ORandom(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Ocurry(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Ocurry(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random__Sequence_Oempty(__eqx_0, __eqx_1, __eqx_2) = c_Random__Sequence_Oempty(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OatLeastLessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OatLeastLessThan(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OatLeastLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OatLeastLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OlessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OlessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OgreaterThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OgreaterThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatLeast(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatLeast(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OSup__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OSup__fin(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMax(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMax(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMin(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMin(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OPlus(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OPlus(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-205, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1) = c_Fun_Ofun__upd(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Oran(__eqx_0, __eqx_1, __eqx_2) = c_Map_Oran(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Orestrict__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Orestrict__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omin__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omin__ext(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omax__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omax__ext(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-218, 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)) )).
% 12.32/12.54 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OInf__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OInf__fin(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Odom(__eqx_0, __eqx_1, __eqx_2) = c_Map_Odom(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1) = c_Product__Type_OSigma(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Product__Type_Omap__pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Omap__pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Oprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Oprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Oneg__single(__eqx_0, __eqx_1) = c_New__DSequence_Oneg__single(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__single(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__single(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Opos__single(__eqx_0, __eqx_1) = c_New__DSequence_Opos__single(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-258, 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)) )).
% 12.32/12.54 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Hilbert__Choice_OEps(__eqx_0, __eqx_1) = c_Hilbert__Choice_OEps(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Omap__add(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Omap__add(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-273, 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)) )).
% 12.32/12.54 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Oorelse(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Oorelse(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small__class_Ofull__small(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small__class_Ofull__small(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Osmall_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Osmall_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( c_Smallcheck_Osmall__class_Osmall(__eqx_0) = c_Smallcheck_Osmall__class_Osmall(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Map_Omap__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Map_Omap__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Omap(__eqx_0, __eqx_1) = c_Option_Omap(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olinorder__class_Osorted__list__of__set(__eqx_0, __eqx_1) = c_List_Olinorder__class_Osorted__list__of__set(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olinorder__class_Oinsort__key(__eqx_0, __eqx_1, __eqx_2) = c_List_Olinorder__class_Oinsort__key(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ocard_H(__eqx_0, __eqx_1) = c_Nitpick_Ocard_H(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oset__Cons(__eqx_0, __eqx_1, __eqx_2) = c_List_Oset__Cons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect__weight(__eqx_0, __eqx_1) = c_Random_Oselect__weight(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Osetsum_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Osetsum_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-301, 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)) )).
% 12.32/12.54 cnf(matrix-302, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olinorder__class_Oinsort__insert__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olinorder__class_Oinsort__insert__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olist__update(__eqx_0, __eqx_1) = c_List_Olist__update(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Map_Omap__upds(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Map_Omap__upds(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_Olist__size(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_Olist__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Opartition(__eqx_0, __eqx_1, __eqx_2) = c_List_Opartition(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omap__filter(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omap__filter(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-337, 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)) )).
% 12.32/12.54 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-339, 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)) )).
% 12.32/12.54 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-349, 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)) )).
% 12.32/12.54 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem17(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem17(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem22(__eqx_0, __eqx_1, __eqx_2) = skolem22(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( skolem24(__eqx_0) = skolem24(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( skolem25(__eqx_0) = skolem25(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( skolem28(__eqx_0) = skolem28(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( skolem30(__eqx_0) = skolem30(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem31(__eqx_0, __eqx_1) = skolem31(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem33(__eqx_0, __eqx_1) = skolem33(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( skolem36(__eqx_0) = skolem36(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem38(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem38(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( skolem39(__eqx_0) = skolem39(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem40(__eqx_0, __eqx_1) = skolem40(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( skolem41(__eqx_0) = skolem41(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem43(__eqx_0, __eqx_1) = skolem43(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( skolem44(__eqx_0) = skolem44(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( skolem45(__eqx_0) = skolem45(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( skolem46(__eqx_0) = skolem46(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( skolem47(__eqx_0) = skolem47(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( skolem48(__eqx_0) = skolem48(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( skolem49(__eqx_0) = skolem49(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( skolem50(__eqx_0) = skolem50(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( skolem51(__eqx_0) = skolem51(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem52(__eqx_0, __eqx_1) = skolem52(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem53(__eqx_0, __eqx_1) = skolem53(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem54(__eqx_0, __eqx_1) = skolem54(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-388, 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)) )).
% 12.32/12.54 cnf(matrix-389, 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)) )).
% 12.32/12.54 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem57(__eqx_0, __eqx_1, __eqx_2) = skolem57(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem58(__eqx_0, __eqx_1, __eqx_2) = skolem58(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-392, 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)) )).
% 12.32/12.54 cnf(matrix-393, 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)) )).
% 12.32/12.54 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem61(__eqx_0, __eqx_1, __eqx_2) = skolem61(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem62(__eqx_0, __eqx_1, __eqx_2) = skolem62(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem63(__eqx_0, __eqx_1, __eqx_2) = skolem63(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem64(__eqx_0, __eqx_1, __eqx_2) = skolem64(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-398, 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)) )).
% 12.32/12.54 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem66(__eqx_0, __eqx_1, __eqx_2) = skolem66(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem67(__eqx_0, __eqx_1, __eqx_2) = skolem67(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-402, 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)) )).
% 12.32/12.54 cnf(matrix-403, 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)) )).
% 12.32/12.54 cnf(matrix-404, 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)) )).
% 12.32/12.54 cnf(matrix-405, 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)) )).
% 12.32/12.54 cnf(matrix-406, 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)) )).
% 12.32/12.54 cnf(matrix-407, 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)) )).
% 12.32/12.54 cnf(matrix-408, 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)) )).
% 12.32/12.54 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-410, 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)) )).
% 12.32/12.54 cnf(matrix-411, 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)) )).
% 12.32/12.54 cnf(matrix-412, 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)) )).
% 12.32/12.54 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem80(__eqx_0, __eqx_1, __eqx_2) = skolem80(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-414, 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)) )).
% 12.32/12.54 cnf(matrix-415, 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)) )).
% 12.32/12.54 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem83(__eqx_0, __eqx_1, __eqx_2) = skolem83(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-417, 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)) )).
% 12.32/12.54 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-419, 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)) )).
% 12.32/12.54 cnf(matrix-420, 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)) )).
% 12.32/12.54 cnf(matrix-421, 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)) )).
% 12.32/12.54 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem89(__eqx_0, __eqx_1, __eqx_2) = skolem89(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem90(__eqx_0, __eqx_1, __eqx_2) = skolem90(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem91(__eqx_0, __eqx_1, __eqx_2) = skolem91(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem92(__eqx_0, __eqx_1, __eqx_2) = skolem92(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-428, 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)) )).
% 12.32/12.54 cnf(matrix-429, 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)) )).
% 12.32/12.54 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem97(__eqx_0, __eqx_1, __eqx_2) = skolem97(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem98(__eqx_0, __eqx_1, __eqx_2) = skolem98(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem99(__eqx_0, __eqx_1, __eqx_2) = skolem99(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 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) | ( __eqx_6 != __eqy_6) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 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) | ( __eqx_6 != __eqy_6) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem102(__eqx_0, __eqx_1, __eqx_2) = skolem102(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem103(__eqx_0, __eqx_1, __eqx_2) = skolem103(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem104(__eqx_0, __eqx_1, __eqx_2) = skolem104(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem105(__eqx_0, __eqx_1) = skolem105(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem106(__eqx_0, __eqx_1) = skolem106(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem107(__eqx_0, __eqx_1) = skolem107(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem108(__eqx_0, __eqx_1) = skolem108(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem109(__eqx_0, __eqx_1, __eqx_2) = skolem109(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem110(__eqx_0, __eqx_1) = skolem110(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem115(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem115(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem116(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem116(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-450, 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)) )).
% 12.32/12.54 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem118(__eqx_0, __eqx_1) = skolem118(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem119(__eqx_0, __eqx_1) = skolem119(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem120(__eqx_0, __eqx_1) = skolem120(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem121(__eqx_0, __eqx_1) = skolem121(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem122(__eqx_0, __eqx_1) = skolem122(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem123(__eqx_0, __eqx_1) = skolem123(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-457, 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)) )).
% 12.32/12.54 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem125(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem125(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem126(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem126(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem127(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem127(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem128(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem128(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-462, 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)) )).
% 12.32/12.54 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem130(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem130(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem131(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem131(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem132(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem132(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem133(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem133(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem134(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem134(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem135(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem135(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem136(__eqx_0, __eqx_1) = skolem136(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem137(__eqx_0, __eqx_1) = skolem137(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem138(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem138(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-472, 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)) )).
% 12.32/12.54 cnf(matrix-473, plain, ( ( __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) | ( skolem140(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem140(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem141(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem141(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem142(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem142(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem143(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem143(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem144(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem144(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem145(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem145(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem146(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem146(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( skolem147(__eqx_0) = skolem147(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem148(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem148(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem149(__eqx_0, __eqx_1) = skolem149(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem150(__eqx_0, __eqx_1) = skolem150(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem151(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem151(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem152(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem152(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem153(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem153(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem154(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem154(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem155(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem155(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem156(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem156(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem157(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem157(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem158(__eqx_0, __eqx_1, __eqx_2) = skolem158(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem160(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem160(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem161(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem161(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem162(__eqx_0, __eqx_1, __eqx_2) = skolem162(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem163(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem163(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem164(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem164(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem166(__eqx_0, __eqx_1) = skolem166(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem167(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem167(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-501, 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)) )).
% 12.32/12.54 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem169(__eqx_0, __eqx_1, __eqx_2) = skolem169(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-504, plain, ( ( __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) | ( skolem171(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem171(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( skolem172(__eqx_0) = skolem172(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem173(__eqx_0, __eqx_1) = skolem173(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( skolem174(__eqx_0) = skolem174(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem175(__eqx_0, __eqx_1) = skolem175(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem176(__eqx_0, __eqx_1, __eqx_2) = skolem176(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem177(__eqx_0, __eqx_1, __eqx_2) = skolem177(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem178(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem178(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem179(__eqx_0, __eqx_1, __eqx_2) = skolem179(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem180(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem180(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem181(__eqx_0, __eqx_1) = skolem181(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem182(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem182(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem183(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem183(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem185(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem185(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem186(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem186(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem187(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem187(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem188(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem188(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem189(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem189(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem190(__eqx_0, __eqx_1, __eqx_2) = skolem190(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem191(__eqx_0, __eqx_1, __eqx_2) = skolem191(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem193(__eqx_0, __eqx_1, __eqx_2) = skolem193(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem194(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem194(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem195(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem195(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem196(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem196(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem197(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem197(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-531, plain, ( ( __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) | ( skolem198(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8) = skolem198(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8)) )).
% 12.32/12.54 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem199(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem199(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem200(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem200(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem201(__eqx_0, __eqx_1, __eqx_2) = skolem201(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem202(__eqx_0, __eqx_1, __eqx_2) = skolem202(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem205(__eqx_0, __eqx_1) = skolem205(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem206(__eqx_0, __eqx_1) = skolem206(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem207(__eqx_0, __eqx_1) = skolem207(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem208(__eqx_0, __eqx_1) = skolem208(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem209(__eqx_0, __eqx_1) = skolem209(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-543, plain, ( ( __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) | ( skolem210(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem210(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem211(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem211(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem212(__eqx_0, __eqx_1) = skolem212(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem213(__eqx_0, __eqx_1) = skolem213(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem214(__eqx_0, __eqx_1) = skolem214(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem215(__eqx_0, __eqx_1) = skolem215(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem220(__eqx_0, __eqx_1, __eqx_2) = skolem220(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-554, 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)) )).
% 12.32/12.54 cnf(matrix-555, 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)) )).
% 12.32/12.54 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem224(__eqx_0, __eqx_1, __eqx_2) = skolem224(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem225(__eqx_0, __eqx_1, __eqx_2) = skolem225(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem226(__eqx_0, __eqx_1, __eqx_2) = skolem226(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem227(__eqx_0, __eqx_1, __eqx_2) = skolem227(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem228(__eqx_0, __eqx_1, __eqx_2) = skolem228(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem229(__eqx_0, __eqx_1, __eqx_2) = skolem229(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem230(__eqx_0, __eqx_1, __eqx_2) = skolem230(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem231(__eqx_0, __eqx_1, __eqx_2) = skolem231(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem233(__eqx_0, __eqx_1, __eqx_2) = skolem233(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem234(__eqx_0, __eqx_1, __eqx_2) = skolem234(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem235(__eqx_0, __eqx_1, __eqx_2) = skolem235(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem236(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem236(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem237(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem237(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-572, 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)) )).
% 12.32/12.54 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem240(__eqx_0, __eqx_1, __eqx_2) = skolem240(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem241(__eqx_0, __eqx_1, __eqx_2) = skolem241(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem242(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem242(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem243(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem243(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem244(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem244(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-580, 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)) )).
% 12.32/12.54 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( skolem248(__eqx_0) = skolem248(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( skolem249(__eqx_0) = skolem249(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem253(__eqx_0, __eqx_1, __eqx_2) = skolem253(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem254(__eqx_0, __eqx_1, __eqx_2) = skolem254(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-590, plain, ( ( __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) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem258(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem258(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.32/12.54 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem259(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem259(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.32/12.54 cnf(matrix-593, plain, ( ( __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) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem261(__eqx_0, __eqx_1, __eqx_2) = skolem261(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-595, 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)) )).
% 12.32/12.54 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem263(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem263(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem264(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem264(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem265(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem265(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem267(__eqx_0, __eqx_1, __eqx_2) = skolem267(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem268(__eqx_0, __eqx_1, __eqx_2) = skolem268(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem269(__eqx_0, __eqx_1) = skolem269(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem270(__eqx_0, __eqx_1) = skolem270(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-604, 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)) )).
% 12.32/12.54 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem272(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem272(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-606, 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)) )).
% 12.32/12.54 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( skolem274(__eqx_0) = skolem274(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( skolem275(__eqx_0) = skolem275(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( skolem276(__eqx_0) = skolem276(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( skolem277(__eqx_0) = skolem277(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem278(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem278(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem280(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem280(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem281(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem281(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-616, 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)) )).
% 12.32/12.54 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem284(__eqx_0, __eqx_1, __eqx_2) = skolem284(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem285(__eqx_0, __eqx_1, __eqx_2) = skolem285(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-619, 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)) )).
% 12.32/12.54 cnf(matrix-620, plain, ( ( __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) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-621, 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)) )).
% 12.32/12.54 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem291(__eqx_0, __eqx_1, __eqx_2) = skolem291(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem294(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem294(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-629, plain, ( ( __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)) )).
% 12.32/12.54 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 12.32/12.54 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 12.32/12.54 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem301(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem301(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem302(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem302(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem303(__eqx_0, __eqx_1, __eqx_2) = skolem303(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem304(__eqx_0, __eqx_1, __eqx_2) = skolem304(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem305(__eqx_0, __eqx_1, __eqx_2) = skolem305(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem306(__eqx_0, __eqx_1, __eqx_2) = skolem306(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem307(__eqx_0, __eqx_1, __eqx_2) = skolem307(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem308(__eqx_0, __eqx_1, __eqx_2) = skolem308(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-643, 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)) )).
% 12.32/12.54 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 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) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem315(__eqx_0, __eqx_1) = skolem315(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem316(__eqx_0, __eqx_1) = skolem316(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem317(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem317(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem318(__eqx_0, __eqx_1, __eqx_2) = skolem318(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem319(__eqx_0, __eqx_1, __eqx_2) = skolem319(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-655, plain, ( ( __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) | ( skolem322(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem322(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-656, plain, ( ( __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) | ( skolem323(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem323(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem324(__eqx_0, __eqx_1, __eqx_2) = skolem324(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem325(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem325(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem327(__eqx_0, __eqx_1) = skolem327(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( skolem328(__eqx_0) = skolem328(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-662, plain, ( ( __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) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( skolem330(__eqx_0) = skolem330(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( skolem331(__eqx_0) = skolem331(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem333(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem333(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem334(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem334(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem335(__eqx_0, __eqx_1) = skolem335(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem336(__eqx_0, __eqx_1) = skolem336(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem338(__eqx_0, __eqx_1) = skolem338(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-672, 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)) )).
% 12.32/12.54 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem340(__eqx_0, __eqx_1) = skolem340(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-674, 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)) )).
% 12.32/12.54 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem342(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem342(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem343(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem343(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem345(__eqx_0, __eqx_1) = skolem345(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem346(__eqx_0, __eqx_1) = skolem346(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-681, 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)) )).
% 12.32/12.54 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem349(__eqx_0, __eqx_1) = skolem349(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem350(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem350(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( skolem351(__eqx_0) = skolem351(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem352(__eqx_0, __eqx_1) = skolem352(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem354(__eqx_0, __eqx_1) = skolem354(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem355(__eqx_0, __eqx_1, __eqx_2) = skolem355(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem356(__eqx_0, __eqx_1, __eqx_2) = skolem356(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem357(__eqx_0, __eqx_1, __eqx_2) = skolem357(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem358(__eqx_0, __eqx_1, __eqx_2) = skolem358(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-692, plain, ( ( __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)) )).
% 12.32/12.54 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) | ( 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)) )).
% 12.32/12.54 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem363(__eqx_0, __eqx_1) = skolem363(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem364(__eqx_0, __eqx_1) = skolem364(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-699, 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)) )).
% 12.32/12.54 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem367(__eqx_0, __eqx_1, __eqx_2) = skolem367(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem369(__eqx_0, __eqx_1) = skolem369(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 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) | ( 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)) )).
% 12.32/12.54 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) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem374(__eqx_0, __eqx_1, __eqx_2) = skolem374(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem375(__eqx_0, __eqx_1, __eqx_2) = skolem375(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem376(__eqx_0, __eqx_1, __eqx_2) = skolem376(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem377(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem377(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem378(__eqx_0, __eqx_1) = skolem378(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem380(__eqx_0, __eqx_1, __eqx_2) = skolem380(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem381(__eqx_0, __eqx_1, __eqx_2) = skolem381(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem382(__eqx_0, __eqx_1, __eqx_2) = skolem382(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem383(__eqx_0, __eqx_1, __eqx_2) = skolem383(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-717, 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)) )).
% 12.32/12.54 cnf(matrix-718, 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)) )).
% 12.32/12.54 cnf(matrix-719, 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)) )).
% 12.32/12.54 cnf(matrix-720, 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)) )).
% 12.32/12.54 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem388(__eqx_0, __eqx_1) = skolem388(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem391(__eqx_0, __eqx_1, __eqx_2) = skolem391(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-725, 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)) )).
% 12.32/12.54 cnf(matrix-726, 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)) )).
% 12.32/12.54 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem396(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem396(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem401(__eqx_0, __eqx_1) = skolem401(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem403(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem403(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem404(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem404(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem408(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem408(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem409(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem409(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 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) | ( __eqx_6 != __eqy_6) | ( skolem410(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem410(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-744, 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)) )).
% 12.32/12.54 cnf(matrix-745, 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)) )).
% 12.32/12.54 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem413(__eqx_0, __eqx_1, __eqx_2) = skolem413(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem414(__eqx_0, __eqx_1, __eqx_2) = skolem414(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem415(__eqx_0, __eqx_1, __eqx_2) = skolem415(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem416(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem416(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.32/12.54 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem417(__eqx_0, __eqx_1, __eqx_2) = skolem417(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem418(__eqx_0, __eqx_1, __eqx_2) = skolem418(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem419(__eqx_0, __eqx_1, __eqx_2) = skolem419(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem420(__eqx_0, __eqx_1) = skolem420(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem421(__eqx_0, __eqx_1, __eqx_2) = skolem421(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem422(__eqx_0, __eqx_1, __eqx_2) = skolem422(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem423(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem423(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem424(__eqx_0, __eqx_1, __eqx_2) = skolem424(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-759, plain, ( ( __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) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.32/12.54 cnf(matrix-760, 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)) )).
% 12.32/12.54 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem429(__eqx_0, __eqx_1, __eqx_2) = skolem429(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem430(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem430(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-765, 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)) )).
% 12.32/12.54 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem433(__eqx_0, __eqx_1) = skolem433(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem434(__eqx_0, __eqx_1) = skolem434(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem435(__eqx_0, __eqx_1, __eqx_2) = skolem435(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem436(__eqx_0, __eqx_1) = skolem436(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-771, 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)) )).
% 12.32/12.54 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem439(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem439(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 12.32/12.54 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 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) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.32/12.54 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem444(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem444(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-778, 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)) )).
% 12.32/12.54 cnf(matrix-779, 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)) )).
% 12.32/12.54 cnf(matrix-780, plain, ( ( __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)) )).
% 12.32/12.54 cnf(matrix-781, plain, ( ( __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)) )).
% 12.32/12.54 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem452(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem452(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem453(__eqx_0, __eqx_1, __eqx_2) = skolem453(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-788, 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)) )).
% 12.32/12.54 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem457(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem457(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-790, 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)) )).
% 12.32/12.54 cnf(matrix-791, 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)) )).
% 12.32/12.54 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( skolem460(__eqx_0) = skolem460(__eqy_0)) )).
% 12.32/12.54 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem461(__eqx_0, __eqx_1, __eqx_2) = skolem461(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem462(__eqx_0, __eqx_1, __eqx_2) = skolem462(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem463(__eqx_0, __eqx_1) = skolem463(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem464(__eqx_0, __eqx_1) = skolem464(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem465(__eqx_0, __eqx_1, __eqx_2) = skolem465(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem466(__eqx_0, __eqx_1, __eqx_2) = skolem466(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem469(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem469(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem470(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem470(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-803, 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)) )).
% 12.32/12.54 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-805, 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)) )).
% 12.32/12.54 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem474(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem474(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-808, 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)) )).
% 12.32/12.54 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem478(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem478(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-811, 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)) )).
% 12.32/12.54 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem480(__eqx_0, __eqx_1) = skolem480(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem481(__eqx_0, __eqx_1, __eqx_2) = skolem481(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem482(__eqx_0, __eqx_1, __eqx_2) = skolem482(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-815, 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)) )).
% 12.32/12.54 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.32/12.54 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem485(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem485(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem486(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem486(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem487(__eqx_0, __eqx_1, __eqx_2) = skolem487(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem488(__eqx_0, __eqx_1, __eqx_2) = skolem488(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem489(__eqx_0, __eqx_1, __eqx_2) = skolem489(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem490(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem490(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem491(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem491(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.32/12.54 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem492(__eqx_0, __eqx_1, __eqx_2) = skolem492(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem493(__eqx_0, __eqx_1, __eqx_2) = skolem493(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem494(__eqx_0, __eqx_1) = skolem494(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-827, 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)) )).
% 12.32/12.54 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem496(__eqx_0, __eqx_1, __eqx_2) = skolem496(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-829, 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)) )).
% 12.32/12.54 cnf(matrix-830, 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)) )).
% 12.32/12.54 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem499(__eqx_0, __eqx_1) = skolem499(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem500(__eqx_0, __eqx_1) = skolem500(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem501(__eqx_0, __eqx_1, __eqx_2) = skolem501(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem502(__eqx_0, __eqx_1) = skolem502(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem503(__eqx_0, __eqx_1) = skolem503(__eqy_0, __eqy_1)) )).
% 12.32/12.54 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem504(__eqx_0, __eqx_1, __eqx_2) = skolem504(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem505(__eqx_0, __eqx_1, __eqx_2) = skolem505(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem506(__eqx_0, __eqx_1, __eqx_2) = skolem506(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.32/12.54 cnf(matrix-839, 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) )).
% 12.32/12.54 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.32/12.54 cnf(matrix-841, 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) )).
% 12.32/12.54 cnf(matrix-842, 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) )).
% 12.32/12.54 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.32/12.54 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.32/12.54 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 12.32/12.54 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.32/12.54 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.32/12.54 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.32/12.54 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.32/12.54 cnf(matrix-858, 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) )).
% 12.32/12.54 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 12.32/12.54 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.32/12.54 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.32/12.54 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.32/12.54 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.32/12.54 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.32/12.54 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.32/12.54 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.32/12.54 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.32/12.54 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.32/12.54 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.32/12.54 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.32/12.54 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.32/12.54 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.32/12.54 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.32/12.54 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.32/12.54 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.32/12.54 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.32/12.54 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.32/12.54 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.32/12.54 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.32/12.54 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 12.32/12.54 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.32/12.54 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.32/12.54 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Nat__Transfer_Otransfer__morphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Nat__Transfer_Otransfer__morphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.32/12.54 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.32/12.54 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.32/12.54 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.32/12.54 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.32/12.54 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.32/12.54 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 12.32/12.54 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.32/12.54 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 12.32/12.54 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 12.32/12.54 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 12.32/12.54 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.32/12.54 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.32/12.54 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 12.32/12.54 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.32/12.54 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.32/12.54 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.32/12.54 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.32/12.54 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 12.32/12.54 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__eq__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__eq__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 12.32/12.54 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.32/12.54 cnf(matrix-923, 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) )).
% 12.32/12.54 cnf(matrix-924, 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) )).
% 12.32/12.54 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 12.32/12.54 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 12.32/12.54 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.32/12.54 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__derivs(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__derivs(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.32/12.54 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.32/12.54 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 12.32/12.54 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.32/12.54 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 12.32/12.54 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.32/12.54 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 12.32/12.54 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.32/12.54 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Oreduction__pair(__eqx_0, __eqx_1) | c_FunDef_Oreduction__pair(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Wellfounded_Omax__extp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Wellfounded_Omax__extp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.32/12.54 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.32/12.54 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 12.32/12.54 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Oequivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Oequivp(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Typedef_Otype__definition(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Typedef_Otype__definition(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.32/12.54 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.32/12.54 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Big__Operators_Ocomm__monoid__big(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Big__Operators_Ocomm__monoid__big(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.32/12.54 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Big__Operators_Osemilattice__big(__eqx_0, __eqx_1, __eqx_2) | c_Big__Operators_Osemilattice__big(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-960, plain, ( ( __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) )).
% 12.32/12.54 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 12.32/12.54 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Owf_H(__eqx_0, __eqx_1) | c_Nitpick_Owf_H(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 12.32/12.54 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) )).
% 12.32/12.54 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 12.32/12.54 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.32/12.54 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Smallcheck_Osmall(__eqx_0) | class_Smallcheck_Osmall(__eqy_0) )).
% 12.32/12.54 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 12.32/12.54 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.32/12.54 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 12.32/12.54 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.32/12.54 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_P(__eqx_0, __eqx_1) | v_P(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_Q(__eqx_0, __eqx_1) | v_Q(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_R(__eqx_0, __eqx_1) | v_R(__eqy_0, __eqy_1) )).
% 12.32/12.54 cnf(matrix-980, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.32/12.54 cnf(matrix-981, plain, ( ~hBOOL(hAPP(hAPP(_u18, _u5), _u4)) | ~c_Natural_Oevaln(_u20, _u4, _u16, _u3) | hBOOL(hAPP(hAPP(_u22, _u5), _u3)) | ~c_Hoare__Mirabelle_Otriple__valid(_u14, _u16, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u18), _u20), _u22)) )).
% 12.32/12.54 cnf(matrix-982, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | hBOOL(hAPP(hAPP(_u19, skolem2(_u23, _u21, _u19, _u17)), skolem3(_u23, _u21, _u19, _u17))) )).
% 12.32/12.54 cnf(matrix-983, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | c_Natural_Oevaln(_u21, skolem3(_u23, _u21, _u19, _u17), _u17, skolem4(_u23, _u21, _u19, _u17)) )).
% 12.32/12.54 cnf(matrix-984, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u15, _u17, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u19), _u21), _u23)) | ~hBOOL(hAPP(hAPP(_u23, skolem2(_u23, _u21, _u19, _u17)), skolem4(_u23, _u21, _u19, _u17))) )).
% 12.32/12.54 cnf(matrix-985, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u24, hAPP(c_Nat_OSuc, _u25), _u26) | c_Hoare__Mirabelle_Otriple__valid(_u24, _u25, _u26) )).
% 12.32/12.54 cnf(matrix-986, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u27, _u28, _u27) )).
% 12.32/12.54 cnf(matrix-987, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u29, _u30, _u31) | ( _u31 = _u29) )).
% 12.32/12.54 cnf(matrix-988, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u41, _u43, _u45) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), _u33), _u45)) | c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, _u33) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), skolem5(_u45, _u43, _u41, _u34)), _u43)) )).
% 12.32/12.54 cnf(matrix-989, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u41, _u43, _u45) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u41)), _u33), _u45)) | c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, _u33) | ~c_Hoare__Mirabelle_Otriple__valid(_u41, _u34, skolem5(_u45, _u43, _u41, _u34)) )).
% 12.32/12.54 cnf(matrix-990, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u42)), _u35), _u44)) | c_Hoare__Mirabelle_Otriple__valid(_u42, skolem6(_u46, _u44, _u42), _u35) )).
% 12.32/12.54 cnf(matrix-991, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u42)), skolem7(_u46, _u44, _u42)), _u46)) )).
% 12.32/12.54 cnf(matrix-992, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u42, _u44, _u46) | ~c_Hoare__Mirabelle_Otriple__valid(_u42, skolem6(_u46, _u44, _u42), skolem7(_u46, _u44, _u42)) )).
% 12.32/12.54 cnf(matrix-993, plain, ( ~c_Natural_Oevaln(_u47, _u48, _u49, _u50) | ~c_Natural_Oevaln(_u51, _u50, _u49, _u52) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u47, _u51), _u48, _u49, _u52) )).
% 12.32/12.54 cnf(matrix-994, plain, ( hBOOL(hAPP(_u53, _u54)) | ~c_Natural_Oevaln(_u55, _u54, _u56, _u57) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u53, _u58, _u55), _u54, _u56, _u57) )).
% 12.32/12.54 cnf(matrix-995, plain, ( ~hBOOL(hAPP(_u59, _u60)) | ~c_Natural_Oevaln(_u61, _u60, _u62, _u63) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u59, _u61, _u64), _u60, _u62, _u63) )).
% 12.32/12.54 cnf(matrix-996, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | hBOOL(hAPP(_u65, _u68)) | c_Natural_Oevaln(_u67, _u68, _u69, _u70) )).
% 12.32/12.54 cnf(matrix-997, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | c_Natural_Oevaln(_u66, _u68, _u69, _u70) | ~hBOOL(hAPP(_u65, _u68)) )).
% 12.32/12.54 cnf(matrix-998, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u65, _u66, _u67), _u68, _u69, _u70) | c_Natural_Oevaln(_u66, _u68, _u69, _u70) | c_Natural_Oevaln(_u67, _u68, _u69, _u70) )).
% 12.32/12.54 cnf(matrix-999, plain, ( hBOOL(hAPP(_u71, _u72)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u71, _u73), _u72, _u74, _u72) )).
% 12.32/12.54 cnf(matrix-1000, plain, ( ~hBOOL(hAPP(_u75, _u76)) | ~c_Natural_Oevaln(_u77, _u76, _u78, _u79) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u75, _u77), _u79, _u78, _u80) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u75, _u77), _u76, _u78, _u80) )).
% 12.32/12.54 cnf(matrix-1001, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u81, _u82, _u81) )).
% 12.32/12.54 cnf(matrix-1002, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u92 = _u98) )).
% 12.32/12.54 cnf(matrix-1003, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u94 = _u100) )).
% 12.32/12.54 cnf(matrix-1004, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u92), _u94), _u96) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u90), _u98), _u100), _u102)) | ( _u96 = _u102) )).
% 12.32/12.54 cnf(matrix-1005, plain, ( ( _u93 != _u99) | ( _u95 != _u101) | ( _u97 != _u103) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u91), _u93), _u95), _u97) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u91), _u99), _u101), _u103)) )).
% 12.32/12.54 cnf(matrix-1006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), _u105), _u107)) | c_Hoare__Mirabelle_Otriple__valid(_u106, _u108, _u105) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), skolem8(_u108, _u107, _u106)), _u107)) )).
% 12.32/12.54 cnf(matrix-1007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u106)), _u105), _u107)) | c_Hoare__Mirabelle_Otriple__valid(_u106, _u108, _u105) | ~c_Hoare__Mirabelle_Otriple__valid(_u106, hAPP(c_Nat_OSuc, _u108), skolem8(_u108, _u107, _u106)) )).
% 12.32/12.54 cnf(matrix-1008, plain, ( ~c_Natural_Oevaln(_u109, _u110, _u111, _u112) | c_Natural_Oevaln(_u109, _u110, hAPP(c_Nat_OSuc, _u111), _u112) )).
% 12.32/12.54 cnf(matrix-1009, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | hBOOL(hAPP(_u120, _u124)) )).
% 12.32/12.54 cnf(matrix-1010, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | c_Natural_Oevaln(_u122, _u124, _u126, skolem9(_u128, _u126, _u124, _u122, _u120)) )).
% 12.32/12.54 cnf(matrix-1011, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ( _u128 = _u124) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), skolem9(_u128, _u126, _u124, _u122, _u120), _u126, _u128) )).
% 12.32/12.54 cnf(matrix-1012, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ~hBOOL(hAPP(_u120, _u124)) | c_Natural_Oevaln(_u122, _u124, _u126, skolem9(_u128, _u126, _u124, _u122, _u120)) )).
% 12.32/12.54 cnf(matrix-1013, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), _u124, _u126, _u128) | ~hBOOL(hAPP(_u120, _u124)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u120, _u122), skolem9(_u128, _u126, _u124, _u122, _u120), _u126, _u128) )).
% 12.32/12.54 cnf(matrix-1014, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u125, _u127, _u129) | ( _u129 != _u125) | hBOOL(hAPP(_u121, _u125)) )).
% 12.32/12.54 cnf(matrix-1015, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u125, _u127, _u129) | ~hBOOL(hAPP(_u121, _u125)) | ~c_Natural_Oevaln(_u123, _u125, _u127, _u114) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u121, _u123), _u114, _u127, _u129) )).
% 12.32/12.54 cnf(matrix-1016, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), _u140, _u142, _u140) | ~hBOOL(hAPP(_u136, _u140)) | c_Natural_Oevaln(_u138, _u140, _u142, skolem10(_u142, _u140, _u138, _u136)) )).
% 12.32/12.54 cnf(matrix-1017, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), _u140, _u142, _u140) | ~hBOOL(hAPP(_u136, _u140)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u136, _u138), skolem10(_u142, _u140, _u138, _u136), _u142, _u140) )).
% 12.32/12.54 cnf(matrix-1018, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u141, _u143, _u141) | hBOOL(hAPP(_u137, _u141)) )).
% 12.32/12.54 cnf(matrix-1019, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u141, _u143, _u141) | ~c_Natural_Oevaln(_u139, _u141, _u143, _u131) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u137, _u139), _u131, _u143, _u141) )).
% 12.32/12.54 cnf(matrix-1020, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | hBOOL(hAPP(_u150, _u156)) | c_Natural_Oevaln(_u154, _u156, _u158, _u160) )).
% 12.32/12.54 cnf(matrix-1021, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | c_Natural_Oevaln(_u152, _u156, _u158, _u160) | ~hBOOL(hAPP(_u150, _u156)) )).
% 12.32/12.54 cnf(matrix-1022, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u150, _u152, _u154), _u156, _u158, _u160) | c_Natural_Oevaln(_u152, _u156, _u158, _u160) | c_Natural_Oevaln(_u154, _u156, _u158, _u160) )).
% 12.32/12.54 cnf(matrix-1023, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u151, _u153, _u155), _u157, _u159, _u161) | ~hBOOL(hAPP(_u151, _u157)) | ~c_Natural_Oevaln(_u153, _u157, _u159, _u161) )).
% 12.32/12.54 cnf(matrix-1024, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u151, _u153, _u155), _u157, _u159, _u161) | hBOOL(hAPP(_u151, _u157)) | ~c_Natural_Oevaln(_u155, _u157, _u159, _u161) )).
% 12.32/12.54 cnf(matrix-1025, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | hBOOL(hAPP(_u168, _u174)) | c_Natural_Oevaln(_u172, _u174, _u176, _u178) )).
% 12.32/12.54 cnf(matrix-1026, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | c_Natural_Oevaln(_u170, _u174, _u176, _u178) | ~hBOOL(hAPP(_u168, _u174)) )).
% 12.32/12.54 cnf(matrix-1027, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u168, _u170, _u172), _u174, _u176, _u178) | c_Natural_Oevaln(_u170, _u174, _u176, _u178) | c_Natural_Oevaln(_u172, _u174, _u176, _u178) )).
% 12.32/12.54 cnf(matrix-1028, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u169, _u171, _u173), _u175, _u177, _u179) | ~hBOOL(hAPP(_u169, _u175)) | ~c_Natural_Oevaln(_u171, _u175, _u177, _u179) )).
% 12.32/12.54 cnf(matrix-1029, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u169, _u171, _u173), _u175, _u177, _u179) | hBOOL(hAPP(_u169, _u175)) | ~c_Natural_Oevaln(_u173, _u175, _u177, _u179) )).
% 12.32/12.54 cnf(matrix-1030, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u187, _u189), _u191, _u193, _u195) | c_Natural_Oevaln(_u187, _u191, _u193, skolem11(_u195, _u193, _u191, _u189, _u187)) )).
% 12.32/12.54 cnf(matrix-1031, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u187, _u189), _u191, _u193, _u195) | c_Natural_Oevaln(_u189, skolem11(_u195, _u193, _u191, _u189, _u187), _u193, _u195) )).
% 12.32/12.54 cnf(matrix-1032, plain, ( ~c_Natural_Oevaln(_u188, _u192, _u194, _u181) | ~c_Natural_Oevaln(_u190, _u181, _u194, _u196) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u188, _u190), _u192, _u194, _u196) )).
% 12.32/12.54 cnf(matrix-1033, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u197, _u198)) )).
% 12.32/12.54 cnf(matrix-1034, plain, ( ( c_Com_Ocom_OSemi(_u199, _u200) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1035, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u201, _u202, _u203)) )).
% 12.32/12.54 cnf(matrix-1036, plain, ( ( c_Com_Ocom_OCond(_u204, _u205, _u206) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1037, plain, ( ( c_Com_Ocom_OSemi(_u207, _u208) != c_Com_Ocom_OCond(_u209, _u210, _u211)) )).
% 12.32/12.54 cnf(matrix-1038, plain, ( ( c_Com_Ocom_OCond(_u212, _u213, _u214) != c_Com_Ocom_OSemi(_u215, _u216)) )).
% 12.32/12.54 cnf(matrix-1039, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u217, _u218)) )).
% 12.32/12.54 cnf(matrix-1040, plain, ( ( c_Com_Ocom_OWhile(_u219, _u220) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1041, plain, ( ( c_Com_Ocom_OSemi(_u221, _u222) != c_Com_Ocom_OWhile(_u223, _u224)) )).
% 12.32/12.54 cnf(matrix-1042, plain, ( ( c_Com_Ocom_OWhile(_u225, _u226) != c_Com_Ocom_OSemi(_u227, _u228)) )).
% 12.32/12.54 cnf(matrix-1043, plain, ( ( c_Com_Ocom_OWhile(_u229, _u230) != c_Com_Ocom_OCond(_u231, _u232, _u233)) )).
% 12.32/12.54 cnf(matrix-1044, plain, ( ( c_Com_Ocom_OWhile(_u238, _u240) != c_Com_Ocom_OWhile(_u242, _u244)) | ( _u238 = _u242) )).
% 12.32/12.54 cnf(matrix-1045, plain, ( ( c_Com_Ocom_OWhile(_u238, _u240) != c_Com_Ocom_OWhile(_u242, _u244)) | ( _u240 = _u244) )).
% 12.32/12.54 cnf(matrix-1046, plain, ( ( _u239 != _u243) | ( _u241 != _u245) | ( c_Com_Ocom_OWhile(_u239, _u241) = c_Com_Ocom_OWhile(_u243, _u245)) )).
% 12.32/12.54 cnf(matrix-1047, plain, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u252 = _u258) )).
% 12.32/12.54 cnf(matrix-1048, plain, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u254 = _u260) )).
% 12.32/12.54 cnf(matrix-1049, plain, ( ( c_Com_Ocom_OCond(_u252, _u254, _u256) != c_Com_Ocom_OCond(_u258, _u260, _u262)) | ( _u256 = _u262) )).
% 12.32/12.54 cnf(matrix-1050, plain, ( ( _u253 != _u259) | ( _u255 != _u261) | ( _u257 != _u263) | ( c_Com_Ocom_OCond(_u253, _u255, _u257) = c_Com_Ocom_OCond(_u259, _u261, _u263)) )).
% 12.32/12.54 cnf(matrix-1051, plain, ( ( c_Com_Ocom_OSemi(_u268, _u270) != c_Com_Ocom_OSemi(_u272, _u274)) | ( _u268 = _u272) )).
% 12.32/12.54 cnf(matrix-1052, plain, ( ( c_Com_Ocom_OSemi(_u268, _u270) != c_Com_Ocom_OSemi(_u272, _u274)) | ( _u270 = _u274) )).
% 12.32/12.54 cnf(matrix-1053, plain, ( ( _u269 != _u273) | ( _u271 != _u275) | ( c_Com_Ocom_OSemi(_u269, _u271) = c_Com_Ocom_OSemi(_u273, _u275)) )).
% 12.32/12.54 cnf(matrix-1054, plain, ( ( c_Com_Ocom_OCond(_u276, _u277, _u278) != c_Com_Ocom_OWhile(_u279, _u280)) )).
% 12.32/12.54 cnf(matrix-1055, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u281, _u282, _u283, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u281), _u284), _u285), _u286)) = hAPP(hAPP(hAPP(_u283, _u284), _u285), _u286)) )).
% 12.32/12.54 cnf(matrix-1056, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u287, _u288, _u289, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u287), _u290), _u291), _u292)) = hAPP(hAPP(hAPP(_u289, _u290), _u291), _u292)) )).
% 12.32/12.54 cnf(matrix-1057, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u294, _u295), _u296, _u297, _u298) | c_Natural_Oevaln(_u294, _u296, _u297, skolem12(_u298, _u297, _u296, _u295, _u294)) )).
% 12.32/12.54 cnf(matrix-1058, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u294, _u295), _u296, _u297, _u298) | c_Natural_Oevaln(_u295, skolem12(_u298, _u297, _u296, _u295, _u294), _u297, _u298) )).
% 12.32/12.54 cnf(matrix-1059, plain, ( ( hAPP(c_Nat_OSuc, _u299) != hAPP(c_Nat_OSuc, _u300)) | ( _u299 = _u300) )).
% 12.32/12.54 cnf(matrix-1060, plain, ( ( hAPP(c_Nat_OSuc, _u303) != hAPP(c_Nat_OSuc, _u305)) | ( _u303 = _u305) )).
% 12.32/12.54 cnf(matrix-1061, plain, ( ( _u304 != _u306) | ( hAPP(c_Nat_OSuc, _u304) = hAPP(c_Nat_OSuc, _u306)) )).
% 12.32/12.54 cnf(matrix-1062, plain, ( ( hAPP(c_Nat_OSuc, _u307) != _u307) )).
% 12.32/12.54 cnf(matrix-1063, plain, ( ( _u308 != hAPP(c_Nat_OSuc, _u308)) )).
% 12.32/12.54 cnf(matrix-1064, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | hBOOL(hAPP(_u310, _u312)) )).
% 12.32/12.54 cnf(matrix-1065, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | c_Natural_Oevaln(_u311, _u312, _u313, skolem13(_u314, _u313, _u312, _u311, _u310)) )).
% 12.32/12.54 cnf(matrix-1066, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ( _u314 = _u312) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), skolem13(_u314, _u313, _u312, _u311, _u310), _u313, _u314) )).
% 12.32/12.54 cnf(matrix-1067, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ~hBOOL(hAPP(_u310, _u312)) | c_Natural_Oevaln(_u311, _u312, _u313, skolem13(_u314, _u313, _u312, _u311, _u310)) )).
% 12.32/12.54 cnf(matrix-1068, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), _u312, _u313, _u314) | ~hBOOL(hAPP(_u310, _u312)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u310, _u311), skolem13(_u314, _u313, _u312, _u311, _u310), _u313, _u314) )).
% 12.32/12.54 cnf(matrix-1069, plain, ( ( c_Com_Ocom_Ocom__case(_u315, _u316, _u317, _u318, _u319, _u320, _u321, _u322, _u323, c_Com_Ocom_OSKIP) = _u316) )).
% 12.32/12.54 cnf(matrix-1070, plain, ( ( c_Com_Ocom_Ocom__case(_u324, _u325, _u326, _u327, _u328, _u329, _u330, _u331, _u332, c_Com_Ocom_OSemi(_u333, _u334)) = hAPP(hAPP(_u328, _u333), _u334)) )).
% 12.32/12.54 cnf(matrix-1071, plain, ( ( c_Com_Ocom_Ocom__case(_u335, _u336, _u337, _u338, _u339, _u340, _u341, _u342, _u343, c_Com_Ocom_OCond(_u344, _u345, _u346)) = hAPP(hAPP(hAPP(_u340, _u344), _u345), _u346)) )).
% 12.32/12.54 cnf(matrix-1072, plain, ( ( c_Com_Ocom_Ocom__case(_u347, _u348, _u349, _u350, _u351, _u352, _u353, _u354, _u355, c_Com_Ocom_OWhile(_u356, _u357)) = hAPP(hAPP(_u353, _u356), _u357)) )).
% 12.32/12.54 cnf(matrix-1073, plain, ( ~class_Rings_Osemiring__1(_u358) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u358, _u359, hAPP(c_Nat_OSuc, _u360), _u361) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u358, _u359, _u360, hAPP(_u359, _u361))) )).
% 12.32/12.54 cnf(matrix-1074, plain, ( ( c_Nat_Onat_Onat__case(_u362, _u363, _u364, hAPP(c_Nat_OSuc, _u365)) = hAPP(_u364, _u365)) )).
% 12.32/12.54 cnf(matrix-1075, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u366, _u367, _u368), hAPP(c_Nat_OSuc, _u369)) = hAPP(hAPP(_u368, _u369), hAPP(c_Nat_Onat_Onat__rec(_u366, _u367, _u368), _u369))) )).
% 12.32/12.54 cnf(matrix-1076, plain, ( ( c_Com_Ocom_Ocom__rec(_u370, _u371, _u372, _u373, _u374, _u375, _u376, _u377, _u378, c_Com_Ocom_OSKIP) = _u371) )).
% 12.32/12.54 cnf(matrix-1077, plain, ( ( c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, c_Com_Ocom_OSemi(_u388, _u389)) = hAPP(hAPP(hAPP(hAPP(_u383, _u388), _u389), c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, _u388)), c_Com_Ocom_Ocom__rec(_u379, _u380, _u381, _u382, _u383, _u384, _u385, _u386, _u387, _u389))) )).
% 12.32/12.54 cnf(matrix-1078, plain, ( ( c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, c_Com_Ocom_OCond(_u399, _u400, _u401)) = hAPP(hAPP(hAPP(hAPP(hAPP(_u395, _u399), _u400), _u401), c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, _u400)), c_Com_Ocom_Ocom__rec(_u390, _u391, _u392, _u393, _u394, _u395, _u396, _u397, _u398, _u401))) )).
% 12.32/12.54 cnf(matrix-1079, plain, ( ( c_Com_Ocom_Ocom__rec(_u402, _u403, _u404, _u405, _u406, _u407, _u408, _u409, _u410, c_Com_Ocom_OWhile(_u411, _u412)) = hAPP(hAPP(hAPP(_u408, _u411), _u412), c_Com_Ocom_Ocom__rec(_u402, _u403, _u404, _u405, _u406, _u407, _u408, _u409, _u410, _u412))) )).
% 12.32/12.54 cnf(matrix-1080, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u413, _u414))) | hBOOL(hAPP(c_Com_OWT, _u413)) )).
% 12.32/12.54 cnf(matrix-1081, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u413, _u414))) | hBOOL(hAPP(c_Com_OWT, _u414)) )).
% 12.32/12.54 cnf(matrix-1082, plain, ( ( c_Com_Ocom_Ocom__case(_u415, _u416, _u417, _u418, _u419, _u420, _u421, _u422, _u423, c_Com_Ocom_OLocal(_u424, _u425, _u426)) = hAPP(hAPP(hAPP(_u418, _u424), _u425), _u426)) )).
% 12.32/12.54 cnf(matrix-1083, plain, ( ( c_Com_Ocom_Ocom__case(_u427, _u428, _u429, _u430, _u431, _u432, _u433, _u434, _u435, c_Com_Ocom_OCall(_u436, _u437, _u438)) = hAPP(hAPP(hAPP(_u435, _u436), _u437), _u438)) )).
% 12.32/12.54 cnf(matrix-1084, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u439, _u440, _u441))) | hBOOL(hAPP(c_Com_OWT, _u440)) )).
% 12.32/12.54 cnf(matrix-1085, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u439, _u440, _u441))) | hBOOL(hAPP(c_Com_OWT, _u441)) )).
% 12.32/12.54 cnf(matrix-1086, plain, ( hBOOL(hAPP(c_Com_OWT, _u443)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u442, _u443))) )).
% 12.32/12.54 cnf(matrix-1087, plain, ( hBOOL(hAPP(c_Com_OWT, _u446)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u444, _u445, _u446))) )).
% 12.32/12.54 cnf(matrix-1088, plain, ( ( c_Com_Ocom_OCall(_u447, _u448, _u449) != c_Com_Ocom_OLocal(_u450, _u451, _u452)) )).
% 12.32/12.54 cnf(matrix-1089, plain, ( ( c_Com_Ocom_OLocal(_u453, _u454, _u455) != c_Com_Ocom_OCall(_u456, _u457, _u458)) )).
% 12.32/12.54 cnf(matrix-1090, plain, ( hBOOL(hAPP(c_Com_OWT, _u466)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u462, _u464, _u466))) )).
% 12.32/12.54 cnf(matrix-1091, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u467)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u463, _u465, _u467))) )).
% 12.32/12.54 cnf(matrix-1092, plain, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u474 = _u480) )).
% 12.32/12.54 cnf(matrix-1093, plain, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u476 = _u482) )).
% 12.32/12.54 cnf(matrix-1094, plain, ( ( c_Com_Ocom_OCall(_u474, _u476, _u478) != c_Com_Ocom_OCall(_u480, _u482, _u484)) | ( _u478 = _u484) )).
% 12.32/12.54 cnf(matrix-1095, plain, ( ( _u475 != _u481) | ( _u477 != _u483) | ( _u479 != _u485) | ( c_Com_Ocom_OCall(_u475, _u477, _u479) = c_Com_Ocom_OCall(_u481, _u483, _u485)) )).
% 12.32/12.54 cnf(matrix-1096, plain, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u492 = _u498) )).
% 12.32/12.54 cnf(matrix-1097, plain, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u494 = _u500) )).
% 12.32/12.54 cnf(matrix-1098, plain, ( ( c_Com_Ocom_OLocal(_u492, _u494, _u496) != c_Com_Ocom_OLocal(_u498, _u500, _u502)) | ( _u496 = _u502) )).
% 12.32/12.54 cnf(matrix-1099, plain, ( ( _u493 != _u499) | ( _u495 != _u501) | ( _u497 != _u503) | ( c_Com_Ocom_OLocal(_u493, _u495, _u497) = c_Com_Ocom_OLocal(_u499, _u501, _u503)) )).
% 12.32/12.54 cnf(matrix-1100, plain, ( ( c_Com_Ocom_Ocom__rec(_u504, _u505, _u506, _u507, _u508, _u509, _u510, _u511, _u512, c_Com_Ocom_OCall(_u513, _u514, _u515)) = hAPP(hAPP(hAPP(_u512, _u513), _u514), _u515)) )).
% 12.32/12.54 cnf(matrix-1101, plain, ( ( c_Com_Ocom_Ocom__rec(_u516, _u517, _u518, _u519, _u520, _u521, _u522, _u523, _u524, c_Com_Ocom_OLocal(_u525, _u526, _u527)) = hAPP(hAPP(hAPP(hAPP(_u519, _u525), _u526), _u527), c_Com_Ocom_Ocom__rec(_u516, _u517, _u518, _u519, _u520, _u521, _u522, _u523, _u524, _u527))) )).
% 12.32/12.54 cnf(matrix-1102, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u528)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u529, _u530, _u528))) )).
% 12.32/12.54 cnf(matrix-1103, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u531)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u532, _u531))) )).
% 12.32/12.54 cnf(matrix-1104, plain, ( hBOOL(hAPP(c_Com_OWT, _u537)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u535, _u537))) )).
% 12.32/12.54 cnf(matrix-1105, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u538)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u536, _u538))) )).
% 12.32/12.54 cnf(matrix-1106, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u539)) | ~hBOOL(hAPP(c_Com_OWT, _u540)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u541, _u539, _u540))) )).
% 12.32/12.54 cnf(matrix-1107, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u545, _u547, _u549))) | hBOOL(hAPP(c_Com_OWT, _u547)) )).
% 12.32/12.54 cnf(matrix-1108, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u545, _u547, _u549))) | hBOOL(hAPP(c_Com_OWT, _u549)) )).
% 12.32/12.54 cnf(matrix-1109, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u548)) | ~hBOOL(hAPP(c_Com_OWT, _u550)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u546, _u548, _u550))) )).
% 12.32/12.54 cnf(matrix-1110, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u551)) | ~hBOOL(hAPP(c_Com_OWT, _u552)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u551, _u552))) )).
% 12.32/12.54 cnf(matrix-1111, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u555, _u557))) | hBOOL(hAPP(c_Com_OWT, _u555)) )).
% 12.32/12.54 cnf(matrix-1112, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u555, _u557))) | hBOOL(hAPP(c_Com_OWT, _u557)) )).
% 12.32/12.54 cnf(matrix-1113, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u556)) | ~hBOOL(hAPP(c_Com_OWT, _u558)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u556, _u558))) )).
% 12.32/12.54 cnf(matrix-1114, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 12.32/12.54 cnf(matrix-1115, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 12.32/12.54 cnf(matrix-1116, plain, ( ( c_Com_Ocom_OLocal(_u559, _u560, _u561) != c_Com_Ocom_OWhile(_u562, _u563)) )).
% 12.32/12.54 cnf(matrix-1117, plain, ( ( c_Com_Ocom_OCall(_u564, _u565, _u566) != c_Com_Ocom_OWhile(_u567, _u568)) )).
% 12.32/12.54 cnf(matrix-1118, plain, ( ( c_Com_Ocom_OWhile(_u569, _u570) != c_Com_Ocom_OLocal(_u571, _u572, _u573)) )).
% 12.32/12.54 cnf(matrix-1119, plain, ( ( c_Com_Ocom_OWhile(_u574, _u575) != c_Com_Ocom_OCall(_u576, _u577, _u578)) )).
% 12.32/12.54 cnf(matrix-1120, plain, ( ( c_Com_Ocom_OLocal(_u579, _u580, _u581) != c_Com_Ocom_OCond(_u582, _u583, _u584)) )).
% 12.32/12.54 cnf(matrix-1121, plain, ( ( c_Com_Ocom_OCond(_u585, _u586, _u587) != c_Com_Ocom_OLocal(_u588, _u589, _u590)) )).
% 12.32/12.54 cnf(matrix-1122, plain, ( ( c_Com_Ocom_OCond(_u591, _u592, _u593) != c_Com_Ocom_OCall(_u594, _u595, _u596)) )).
% 12.32/12.54 cnf(matrix-1123, plain, ( ( c_Com_Ocom_OCall(_u597, _u598, _u599) != c_Com_Ocom_OCond(_u600, _u601, _u602)) )).
% 12.32/12.54 cnf(matrix-1124, plain, ( ( c_Com_Ocom_OLocal(_u603, _u604, _u605) != c_Com_Ocom_OSemi(_u606, _u607)) )).
% 12.32/12.54 cnf(matrix-1125, plain, ( ( c_Com_Ocom_OCall(_u608, _u609, _u610) != c_Com_Ocom_OSemi(_u611, _u612)) )).
% 12.32/12.54 cnf(matrix-1126, plain, ( ( c_Com_Ocom_OSemi(_u613, _u614) != c_Com_Ocom_OLocal(_u615, _u616, _u617)) )).
% 12.32/12.54 cnf(matrix-1127, plain, ( ( c_Com_Ocom_OSemi(_u618, _u619) != c_Com_Ocom_OCall(_u620, _u621, _u622)) )).
% 12.32/12.54 cnf(matrix-1128, plain, ( ( c_Com_Ocom_OLocal(_u623, _u624, _u625) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1129, plain, ( ( c_Com_Ocom_OCall(_u626, _u627, _u628) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1130, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u629, _u630, _u631)) )).
% 12.32/12.54 cnf(matrix-1131, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u632, _u633, _u634)) )).
% 12.32/12.54 cnf(matrix-1132, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u636))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u635, _u636, _u637))) )).
% 12.32/12.54 cnf(matrix-1133, plain, ( ( hAPP(_u639, skolem14(_u643, _u642, _u641, _u640, _u639)) != hAPP(c_Nat_Onat_Onat__rec(_u640, _u641, _u642), skolem14(_u643, _u642, _u641, _u640, _u639))) | ( hAPP(_u639, hAPP(c_Nat_OSuc, _u643)) = hAPP(hAPP(_u642, _u643), hAPP(_u639, _u643))) )).
% 12.32/12.54 cnf(matrix-1134, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u649))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u647, _u649, _u651))) )).
% 12.32/12.54 cnf(matrix-1135, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u650))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u648, _u650, _u652))) )).
% 12.32/12.54 cnf(matrix-1136, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u653))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u654, _u653, _u655))) )).
% 12.32/12.54 cnf(matrix-1137, plain, ( ~class_Rings_Osemiring__1(_u656) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u656, _u657, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u658) = _u658) )).
% 12.32/12.54 cnf(matrix-1138, plain, ( ( c_Com_Ocom_Ocom__case(_u659, _u660, _u661, _u662, _u663, _u664, _u665, _u666, _u667, c_Com_Ocom_OAss(_u668, _u669)) = hAPP(hAPP(_u661, _u668), _u669)) )).
% 12.32/12.54 cnf(matrix-1139, plain, ( ( c_Com_Ocom_Ocom__rec(_u670, _u671, _u672, _u673, _u674, _u675, _u676, _u677, _u678, c_Com_Ocom_OAss(_u679, _u680)) = hAPP(hAPP(_u672, _u679), _u680)) )).
% 12.32/12.54 cnf(matrix-1140, plain, ( ( c_Com_Ocom_Ocom__case(_u681, _u682, _u683, _u684, _u685, _u686, _u687, _u688, _u689, hAPP(c_Com_Ocom_OBODY, _u690)) = hAPP(_u688, _u690)) )).
% 12.32/12.54 cnf(matrix-1141, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u691, _u692, _u693), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u692) )).
% 12.32/12.54 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u694), _u695)) | ( _u695 = _u694) )).
% 12.32/12.54 cnf(matrix-1143, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u696), _u696)) )).
% 12.32/12.54 cnf(matrix-1144, plain, ( hBOOL(hAPP(_u697, _u698)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u697, _u699)), _u698), _u698)) )).
% 12.32/12.54 cnf(matrix-1145, plain, ( ~hBOOL(hAPP(_u700, _u701)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u702), _u701), _u703)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u700, _u702)), _u703), _u704)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u700, _u702)), _u701), _u704)) )).
% 12.32/12.54 cnf(matrix-1146, plain, ( hBOOL(hAPP(_u705, _u706)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u707), _u706), _u708)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u705, _u709, _u707)), _u706), _u708)) )).
% 12.32/12.54 cnf(matrix-1147, plain, ( ~hBOOL(hAPP(_u710, _u711)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u712), _u711), _u713)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u710, _u712, _u714)), _u711), _u713)) )).
% 12.32/12.54 cnf(matrix-1148, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(_u715, _u718)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u717), _u718), _u719)) )).
% 12.32/12.54 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u716), _u718), _u719)) | ~hBOOL(hAPP(_u715, _u718)) )).
% 12.32/12.54 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u715, _u716, _u717)), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u716), _u718), _u719)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u717), _u718), _u719)) )).
% 12.32/12.54 cnf(matrix-1151, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u720), _u721), _u722)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u723), _u722), _u724)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u720, _u723)), _u721), _u724)) )).
% 12.32/12.54 cnf(matrix-1152, plain, ( ( c_Com_Ocom_OAss(_u729, _u731) != c_Com_Ocom_OAss(_u733, _u735)) | ( _u729 = _u733) )).
% 12.32/12.54 cnf(matrix-1153, plain, ( ( c_Com_Ocom_OAss(_u729, _u731) != c_Com_Ocom_OAss(_u733, _u735)) | ( _u731 = _u735) )).
% 12.32/12.54 cnf(matrix-1154, plain, ( ( _u730 != _u734) | ( _u732 != _u736) | ( c_Com_Ocom_OAss(_u730, _u732) = c_Com_Ocom_OAss(_u734, _u736)) )).
% 12.32/12.54 cnf(matrix-1155, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u739) != hAPP(c_Com_Ocom_OBODY, _u741)) | ( _u739 = _u741) )).
% 12.32/12.54 cnf(matrix-1156, plain, ( ( _u740 != _u742) | ( hAPP(c_Com_Ocom_OBODY, _u740) = hAPP(c_Com_Ocom_OBODY, _u742)) )).
% 12.32/12.54 cnf(matrix-1157, plain, ( ( c_Com_Ocom_OAss(_u743, _u744) != hAPP(c_Com_Ocom_OBODY, _u745)) )).
% 12.32/12.54 cnf(matrix-1158, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u746) != c_Com_Ocom_OAss(_u747, _u748)) )).
% 12.32/12.54 cnf(matrix-1159, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u749), _u750), _u751)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u749), _u750), _u752)) | ( _u752 = _u751) )).
% 12.32/12.54 cnf(matrix-1160, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u753)) )).
% 12.32/12.54 cnf(matrix-1161, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u754)) )).
% 12.32/12.54 cnf(matrix-1162, plain, ( ( hAPP(c_Nat_OSuc, _u755) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1163, plain, ( ( hAPP(c_Nat_OSuc, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1164, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u757)) )).
% 12.32/12.54 cnf(matrix-1165, plain, ( ( hAPP(c_Nat_OSuc, _u758) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1166, plain, ( ~c_Natural_Oevaln(_u759, _u760, _u761, _u762) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u759), _u760), _u762)) )).
% 12.32/12.54 cnf(matrix-1167, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u768), _u770), _u772)) | c_Natural_Oevaln(_u768, _u770, skolem15(_u772, _u770, _u768), _u772) )).
% 12.32/12.54 cnf(matrix-1168, plain, ( ~c_Natural_Oevaln(_u769, _u771, _u764, _u773) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u769), _u771), _u773)) )).
% 12.32/12.54 cnf(matrix-1169, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u774), _u775), hAPP(c_Com_Ocom_OBODY, _u776)), _u777)) )).
% 12.32/12.54 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), _u787), _u787)) | ~hBOOL(hAPP(_u783, _u787)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u785), _u787), skolem16(_u787, _u785, _u783))) )).
% 12.32/12.54 cnf(matrix-1171, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), _u787), _u787)) | ~hBOOL(hAPP(_u783, _u787)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u783, _u785)), skolem16(_u787, _u785, _u783)), _u787)) )).
% 12.32/12.54 cnf(matrix-1172, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u788), _u788)) | hBOOL(hAPP(_u784, _u788)) )).
% 12.32/12.54 cnf(matrix-1173, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u788), _u788)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u786), _u788), _u779)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u779), _u788)) )).
% 12.32/12.54 cnf(matrix-1174, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(_u795, _u799)) )).
% 12.32/12.54 cnf(matrix-1175, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u797), _u799), skolem17(_u801, _u799, _u797, _u795))) )).
% 12.32/12.54 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ( _u801 = _u799) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), skolem17(_u801, _u799, _u797, _u795)), _u801)) )).
% 12.32/12.54 cnf(matrix-1177, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ~hBOOL(hAPP(_u795, _u799)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u797), _u799), skolem17(_u801, _u799, _u797, _u795))) )).
% 12.32/12.54 cnf(matrix-1178, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), _u799), _u801)) | ~hBOOL(hAPP(_u795, _u799)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u795, _u797)), skolem17(_u801, _u799, _u797, _u795)), _u801)) )).
% 12.32/12.54 cnf(matrix-1179, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u800), _u802)) | ( _u802 != _u800) | hBOOL(hAPP(_u796, _u800)) )).
% 12.32/12.54 cnf(matrix-1180, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u800), _u802)) | ~hBOOL(hAPP(_u796, _u800)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u798), _u800), _u790)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u796, _u798)), _u790), _u802)) )).
% 12.32/12.54 cnf(matrix-1181, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(_u808, _u814)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u812), _u814), _u816)) )).
% 12.32/12.54 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u810), _u814), _u816)) | ~hBOOL(hAPP(_u808, _u814)) )).
% 12.32/12.54 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u808, _u810, _u812)), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u810), _u814), _u816)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u812), _u814), _u816)) )).
% 12.32/12.54 cnf(matrix-1184, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u809, _u811, _u813)), _u815), _u817)) | ~hBOOL(hAPP(_u809, _u815)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u811), _u815), _u817)) )).
% 12.32/12.54 cnf(matrix-1185, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u809, _u811, _u813)), _u815), _u817)) | hBOOL(hAPP(_u809, _u815)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u813), _u815), _u817)) )).
% 12.32/12.54 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(_u823, _u829)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u827), _u829), _u831)) )).
% 12.32/12.54 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u825), _u829), _u831)) | ~hBOOL(hAPP(_u823, _u829)) )).
% 12.32/12.54 cnf(matrix-1188, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u823, _u825, _u827)), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u825), _u829), _u831)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u827), _u829), _u831)) )).
% 12.32/12.54 cnf(matrix-1189, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u824, _u826, _u828)), _u830), _u832)) | ~hBOOL(hAPP(_u824, _u830)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u826), _u830), _u832)) )).
% 12.32/12.54 cnf(matrix-1190, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u824, _u826, _u828)), _u830), _u832)) | hBOOL(hAPP(_u824, _u830)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u828), _u830), _u832)) )).
% 12.32/12.54 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u839, _u841)), _u843), _u845)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u839), _u843), skolem18(_u845, _u843, _u841, _u839))) )).
% 12.32/12.54 cnf(matrix-1192, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u839, _u841)), _u843), _u845)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u841), skolem18(_u845, _u843, _u841, _u839)), _u845)) )).
% 12.32/12.54 cnf(matrix-1193, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u840), _u844), _u834)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u842), _u834), _u846)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u840, _u842)), _u844), _u846)) )).
% 12.32/12.54 cnf(matrix-1194, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u847), _u847)) )).
% 12.32/12.54 cnf(matrix-1195, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u848) != c_Com_Ocom_OWhile(_u849, _u850)) )).
% 12.32/12.54 cnf(matrix-1196, plain, ( ( c_Com_Ocom_OWhile(_u851, _u852) != hAPP(c_Com_Ocom_OBODY, _u853)) )).
% 12.32/12.54 cnf(matrix-1197, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u854) != c_Com_Ocom_OCond(_u855, _u856, _u857)) )).
% 12.32/12.54 cnf(matrix-1198, plain, ( ( c_Com_Ocom_OCond(_u858, _u859, _u860) != hAPP(c_Com_Ocom_OBODY, _u861)) )).
% 12.32/12.54 cnf(matrix-1199, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u862) != c_Com_Ocom_OSemi(_u863, _u864)) )).
% 12.32/12.54 cnf(matrix-1200, plain, ( ( c_Com_Ocom_OSemi(_u865, _u866) != hAPP(c_Com_Ocom_OBODY, _u867)) )).
% 12.32/12.54 cnf(matrix-1201, plain, ( ( c_Com_Ocom_OLocal(_u868, _u869, _u870) != hAPP(c_Com_Ocom_OBODY, _u871)) )).
% 12.32/12.54 cnf(matrix-1202, plain, ( ( c_Com_Ocom_OCall(_u872, _u873, _u874) != hAPP(c_Com_Ocom_OBODY, _u875)) )).
% 12.32/12.54 cnf(matrix-1203, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u876) != c_Com_Ocom_OLocal(_u877, _u878, _u879)) )).
% 12.32/12.54 cnf(matrix-1204, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u880) != c_Com_Ocom_OCall(_u881, _u882, _u883)) )).
% 12.32/12.54 cnf(matrix-1205, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u884)) )).
% 12.32/12.54 cnf(matrix-1206, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u885) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1207, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u886, _u887))) )).
% 12.32/12.54 cnf(matrix-1208, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u888, _u889))) )).
% 12.32/12.54 cnf(matrix-1209, plain, ( ( c_Com_Ocom_OAss(_u890, _u891) != c_Com_Ocom_OWhile(_u892, _u893)) )).
% 12.32/12.54 cnf(matrix-1210, plain, ( ( c_Com_Ocom_OWhile(_u894, _u895) != c_Com_Ocom_OAss(_u896, _u897)) )).
% 12.32/12.54 cnf(matrix-1211, plain, ( ( c_Com_Ocom_OAss(_u898, _u899) != c_Com_Ocom_OCond(_u900, _u901, _u902)) )).
% 12.32/12.54 cnf(matrix-1212, plain, ( ( c_Com_Ocom_OCond(_u903, _u904, _u905) != c_Com_Ocom_OAss(_u906, _u907)) )).
% 12.32/12.54 cnf(matrix-1213, plain, ( ( c_Nat_Onat_Onat__case(_u908, _u909, _u910, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u909) )).
% 12.32/12.54 cnf(matrix-1214, plain, ( ( c_Com_Ocom_OAss(_u911, _u912) != c_Com_Ocom_OSemi(_u913, _u914)) )).
% 12.32/12.54 cnf(matrix-1215, plain, ( ( c_Com_Ocom_OSemi(_u915, _u916) != c_Com_Ocom_OAss(_u917, _u918)) )).
% 12.32/12.54 cnf(matrix-1216, plain, ( ( c_Com_Ocom_OLocal(_u919, _u920, _u921) != c_Com_Ocom_OAss(_u922, _u923)) )).
% 12.32/12.54 cnf(matrix-1217, plain, ( ( c_Com_Ocom_OCall(_u924, _u925, _u926) != c_Com_Ocom_OAss(_u927, _u928)) )).
% 12.32/12.54 cnf(matrix-1218, plain, ( ( c_Com_Ocom_OAss(_u929, _u930) != c_Com_Ocom_OLocal(_u931, _u932, _u933)) )).
% 12.32/12.54 cnf(matrix-1219, plain, ( ( c_Com_Ocom_OAss(_u934, _u935) != c_Com_Ocom_OCall(_u936, _u937, _u938)) )).
% 12.32/12.54 cnf(matrix-1220, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u939, _u940)) )).
% 12.32/12.54 cnf(matrix-1221, plain, ( ( c_Com_Ocom_OAss(_u941, _u942) != c_Com_Ocom_OSKIP) )).
% 12.32/12.54 cnf(matrix-1222, plain, ( ( c_Com_Ocom_Ocom__rec(_u943, _u944, _u945, _u946, _u947, _u948, _u949, _u950, _u951, hAPP(c_Com_Ocom_OBODY, _u952)) = hAPP(_u950, _u952)) )).
% 12.32/12.54 cnf(matrix-1223, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u953, _u954, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u953), _u955), _u956), _u957)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1224, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u958)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u958), _u959), _u960), _u961)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1225, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u963, _u964)), _u965), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u963), _u965), skolem19(_u966, _u965, _u964, _u963))) )).
% 12.32/12.54 cnf(matrix-1226, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u963, _u964)), _u965), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u964), skolem19(_u966, _u965, _u964, _u963)), _u966)) )).
% 12.32/12.54 cnf(matrix-1227, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1228, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u967, _u968, _u969)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1229, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u970, _u971)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1230, plain, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u972)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1231, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1232, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u973, _u974, _u975)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1233, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u976, _u977)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1234, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u978)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1235, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u979, _u980, _u981)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u981)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1236, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u982, _u983)) = 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), _u982)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u983))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1237, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u984, _u985, _u986)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u986)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1238, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u987, _u988)) = 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(_u987)), c_Com_Ocom_Ocom__size(_u988))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1239, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u989, _u990, _u991)) = 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), _u990)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u991))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1240, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u992, _u993, _u994)) = 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(_u993)), c_Com_Ocom_Ocom__size(_u994))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1241, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u995, _u996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u996)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1242, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u997, _u998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u998)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1243, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u999, _u1000)), _u1001), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1001), _u999), hAPP(_u1000, _u1001)))) )).
% 12.32/12.54 cnf(matrix-1244, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u1002, _u1003)), _u1004), _u1005)) | ( _u1005 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), _u1002), hAPP(_u1003, _u1004))) )).
% 12.32/12.54 cnf(matrix-1245, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u1006, _u1007), _u1008, _u1009, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1008), _u1006), hAPP(_u1007, _u1008))) )).
% 12.32/12.54 cnf(matrix-1246, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u1010, _u1011), _u1012, _u1013, _u1014) | ( _u1014 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1012), _u1010), hAPP(_u1011, _u1012))) )).
% 12.32/12.54 cnf(matrix-1247, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1018), _u1020) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1022), _u1020)) | ( _u1018 = _u1022) )).
% 12.32/12.54 cnf(matrix-1248, plain, ( ( _u1019 != _u1023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1019), _u1021) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1023), _u1021)) )).
% 12.32/12.54 cnf(matrix-1249, plain, ( ( _u1029 = _u1031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1027), _u1029) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1027), _u1031)) )).
% 12.32/12.54 cnf(matrix-1250, plain, ( ( _u1030 != _u1032) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1028), _u1030) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1028), _u1032)) )).
% 12.32/12.54 cnf(matrix-1251, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1033), _u1034)), _u1035) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1034), _u1035))) )).
% 12.32/12.54 cnf(matrix-1252, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1037), _u1038)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1036), _u1038))) )).
% 12.32/12.54 cnf(matrix-1253, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1039), _u1040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1040), _u1039)) )).
% 12.32/12.54 cnf(matrix-1254, plain, ( ( _u1042 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1041), _u1042) != _u1041) )).
% 12.32/12.54 cnf(matrix-1255, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1045), _u1047) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1045 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1256, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1045), _u1047) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1257, plain, ( ( _u1046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1048 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1046), _u1048) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1258, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1049), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1049) )).
% 12.32/12.54 cnf(matrix-1259, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1050) = _u1050) )).
% 12.32/12.54 cnf(matrix-1260, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1051), hAPP(c_Nat_OSuc, _u1052)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1051), _u1052))) )).
% 12.32/12.54 cnf(matrix-1261, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1053)), _u1054) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1053), _u1054))) )).
% 12.32/12.54 cnf(matrix-1262, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1055)), _u1056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1055), hAPP(c_Nat_OSuc, _u1056))) )).
% 12.32/12.54 cnf(matrix-1263, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1264, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1059 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1265, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1266, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1059), _u1061) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1061 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1061 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1267, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1060), _u1062) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1060 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1062 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1268, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1060), _u1062) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1062 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1269, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1065), _u1067)) | ( _u1065 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1270, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1065), _u1067)) | ( _u1065 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1067 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1271, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1065), _u1067)) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1272, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1065), _u1067)) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1067 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1273, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1066), _u1068)) | ( _u1066 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1068 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1274, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1066), _u1068)) | ( _u1066 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1068 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1275, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u1069, _u1070), _u1071, _u1072, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1071), _u1069), hAPP(_u1070, _u1071))) )).
% 12.32/12.54 cnf(matrix-1276, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u1073, _u1074)), _u1075), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1075), _u1073), hAPP(_u1074, _u1075)))) )).
% 12.32/12.54 cnf(matrix-1277, plain, ( ~class_Groups_Omonoid__add(_u1076) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1076), c_Groups_Ozero__class_Ozero(_u1076)), _u1077) = _u1077) )).
% 12.32/12.54 cnf(matrix-1278, plain, ( ~class_Rings_Ocomm__semiring__1(_u1078) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1078), c_Groups_Ozero__class_Ozero(_u1078)), _u1079) = _u1079) )).
% 12.32/12.54 cnf(matrix-1279, plain, ( ~class_Groups_Ocomm__monoid__add(_u1080) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1080), c_Groups_Ozero__class_Ozero(_u1080)), _u1081) = _u1081) )).
% 12.32/12.54 cnf(matrix-1280, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1082) | ( c_Groups_Ozero__class_Ozero(_u1082) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1082), _u1083), _u1083)) | ( _u1083 = c_Groups_Ozero__class_Ozero(_u1082)) )).
% 12.32/12.54 cnf(matrix-1281, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1082) | ( _u1083 != c_Groups_Ozero__class_Ozero(_u1082)) | ( c_Groups_Ozero__class_Ozero(_u1082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1082), _u1083), _u1083)) )).
% 12.32/12.54 cnf(matrix-1282, plain, ( ~class_Groups_Omonoid__add(_u1084) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1084), _u1085), c_Groups_Ozero__class_Ozero(_u1084)) = _u1085) )).
% 12.32/12.54 cnf(matrix-1283, plain, ( ~class_Rings_Ocomm__semiring__1(_u1086) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1086), _u1087), c_Groups_Ozero__class_Ozero(_u1086)) = _u1087) )).
% 12.32/12.54 cnf(matrix-1284, plain, ( ~class_Groups_Ocomm__monoid__add(_u1088) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1088), _u1089), c_Groups_Ozero__class_Ozero(_u1088)) = _u1089) )).
% 12.32/12.54 cnf(matrix-1285, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1090) | ( _u1091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1090), _u1091), _u1092)) | ( _u1092 = c_Groups_Ozero__class_Ozero(_u1090)) )).
% 12.32/12.54 cnf(matrix-1286, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1090) | ( _u1092 != c_Groups_Ozero__class_Ozero(_u1090)) | ( _u1091 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1090), _u1091), _u1092)) )).
% 12.32/12.54 cnf(matrix-1287, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1093), _u1094), _u1094) != c_Groups_Ozero__class_Ozero(_u1093)) | ( _u1094 = c_Groups_Ozero__class_Ozero(_u1093)) )).
% 12.32/12.54 cnf(matrix-1288, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ( _u1094 != c_Groups_Ozero__class_Ozero(_u1093)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1093), _u1094), _u1094) = c_Groups_Ozero__class_Ozero(_u1093)) )).
% 12.32/12.54 cnf(matrix-1289, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1095)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1290, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1096)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1096)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1291, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1097) = _u1097) )).
% 12.32/12.54 cnf(matrix-1292, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1293, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1294, plain, ( ~class_Groups_Ozero(_u1098) | ( c_Groups_Ozero__class_Ozero(_u1098) != _u1099) | ( _u1099 = c_Groups_Ozero__class_Ozero(_u1098)) )).
% 12.32/12.54 cnf(matrix-1295, plain, ( ~class_Groups_Ozero(_u1098) | ( _u1099 != c_Groups_Ozero__class_Ozero(_u1098)) | ( c_Groups_Ozero__class_Ozero(_u1098) = _u1099) )).
% 12.32/12.54 cnf(matrix-1296, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1100) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), _u1102) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1103), _u1102)) | ( _u1101 = _u1103) )).
% 12.32/12.54 cnf(matrix-1297, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1104) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1106) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1107)) | ( _u1106 = _u1107) )).
% 12.32/12.54 cnf(matrix-1298, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1110) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1111)) | ( _u1110 = _u1111) )).
% 12.32/12.54 cnf(matrix-1299, plain, ( ~class_Rings_Ocomm__semiring__1(_u1112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1115), _u1116)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1115)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1114), _u1116))) )).
% 12.32/12.54 cnf(matrix-1300, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1117) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1120), _u1119)) | ( _u1118 = _u1120) )).
% 12.32/12.54 cnf(matrix-1301, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1117) | ( _u1118 != _u1120) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1118), _u1119) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1117), _u1120), _u1119)) )).
% 12.32/12.54 cnf(matrix-1302, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1121) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1123) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1124)) | ( _u1123 = _u1124) )).
% 12.32/12.54 cnf(matrix-1303, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1121) | ( _u1123 != _u1124) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1123) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1121), _u1122), _u1124)) )).
% 12.32/12.54 cnf(matrix-1304, plain, ( ~class_Rings_Ocomm__semiring__1(_u1125) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), _u1126), _u1127)), _u1128) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1125), _u1126), _u1128)), _u1127)) )).
% 12.32/12.54 cnf(matrix-1305, plain, ( ~class_Groups_Oab__semigroup__add(_u1129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1130), _u1131)), _u1132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1129), _u1131), _u1132))) )).
% 12.32/12.54 cnf(matrix-1306, plain, ( ~class_Rings_Ocomm__semiring__1(_u1133) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1134), _u1135)), _u1136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1133), _u1135), _u1136))) )).
% 12.32/12.54 cnf(matrix-1307, plain, ( ~class_Rings_Ocomm__semiring__1(_u1137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1139), _u1140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), _u1139)), _u1140)) )).
% 12.32/12.54 cnf(matrix-1308, plain, ( ~class_Rings_Ocomm__semiring__1(_u1141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1143), _u1144)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144))) )).
% 12.32/12.54 cnf(matrix-1309, plain, ( ~class_Rings_Ocomm__semiring__1(_u1145) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1147), _u1146)) )).
% 12.32/12.54 cnf(matrix-1310, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1311, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1312, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1313, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1314, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u1153, _u1155, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1153), _u1157), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1159))), _u1161)) | c_Hoare__Mirabelle_Otriple__valid(_u1153, hAPP(c_Nat_OSuc, _u1155), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1153), _u1157), hAPP(c_Com_Ocom_OBODY, _u1159)), _u1161)) )).
% 12.32/12.54 cnf(matrix-1315, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u1154, hAPP(c_Nat_OSuc, _u1156), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1154), _u1158), hAPP(c_Com_Ocom_OBODY, _u1160)), _u1162)) | c_Hoare__Mirabelle_Otriple__valid(_u1154, _u1156, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1154), _u1158), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1160))), _u1162)) )).
% 12.32/12.54 cnf(matrix-1316, plain, ( ( hAPP(_u1164, skolem20(_u1167, _u1166, _u1165, _u1164)) != hAPP(c_Nat_Onat_Onat__rec(_u1165, _u1166, _u1167), skolem20(_u1167, _u1166, _u1165, _u1164))) | ( hAPP(_u1164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1166) )).
% 12.32/12.54 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(_u1169, _u1171)) )).
% 12.32/12.54 cnf(matrix-1318, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1170), _u1171), skolem21(_u1172, _u1171, _u1170, _u1169))) )).
% 12.32/12.54 cnf(matrix-1319, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ( _u1172 = _u1171) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), skolem21(_u1172, _u1171, _u1170, _u1169)), _u1172)) )).
% 12.32/12.54 cnf(matrix-1320, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ~hBOOL(hAPP(_u1169, _u1171)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1170), _u1171), skolem21(_u1172, _u1171, _u1170, _u1169))) )).
% 12.32/12.54 cnf(matrix-1321, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), _u1171), _u1172)) | ~hBOOL(hAPP(_u1169, _u1171)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1169, _u1170)), skolem21(_u1172, _u1171, _u1170, _u1169)), _u1172)) )).
% 12.32/12.54 cnf(matrix-1322, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u1173, _u1174, _u1175, _u1176, c_Nitpick_Opair__box_OPairBox(_u1173, _u1174, _u1177, _u1178)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1175, _u1177)), hAPP(_u1176, _u1178))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1323, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1180), _u1181), _u1182)) | c_Natural_Oevaln(_u1180, _u1181, skolem22(_u1182, _u1181, _u1180), _u1182) )).
% 12.32/12.54 cnf(matrix-1324, plain, ( ( c_Sum__Type_Osum_Osum__size(_u1183, _u1184, _u1185, _u1186, hAPP(c_Sum__Type_OInl(_u1183, _u1184), _u1187)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1185, _u1187)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1325, plain, ( ( c_Sum__Type_Osum_Osum__size(_u1188, _u1189, _u1190, _u1191, hAPP(c_Sum__Type_OInr(_u1189, _u1188), _u1192)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1191, _u1192)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.54 cnf(matrix-1326, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1193))), _u1194), _u1195)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1193)), _u1194), _u1195)) )).
% 12.32/12.54 cnf(matrix-1327, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1196)), _u1197), _u1198)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1196))), _u1197), _u1198)) )).
% 12.32/12.54 cnf(matrix-1328, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1199)), _u1200, _u1201, _u1202) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1199), _u1200, hAPP(c_Nat_OSuc, _u1201), _u1202) )).
% 12.32/12.54 cnf(matrix-1329, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1213, _u1215) != c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1217, _u1219)) | ( _u1213 = _u1217) )).
% 12.32/12.54 cnf(matrix-1330, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1213, _u1215) != c_Nitpick_Opair__box_OPairBox(_u1209, _u1211, _u1217, _u1219)) | ( _u1215 = _u1219) )).
% 12.32/12.54 cnf(matrix-1331, plain, ( ( _u1214 != _u1218) | ( _u1216 != _u1220) | ( c_Nitpick_Opair__box_OPairBox(_u1210, _u1212, _u1214, _u1216) = c_Nitpick_Opair__box_OPairBox(_u1210, _u1212, _u1218, _u1220)) )).
% 12.32/12.54 cnf(matrix-1332, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1224)), _u1226), _u1228)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1224))), _u1226), _u1228)) )).
% 12.32/12.54 cnf(matrix-1333, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1225))), _u1227), _u1229)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1225)), _u1227), _u1229)) )).
% 12.32/12.54 cnf(matrix-1334, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1234), _u1236, hAPP(c_Nat_OSuc, _u1238), _u1240) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1234)), _u1236, _u1238, _u1240) )).
% 12.32/12.54 cnf(matrix-1335, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1235)), _u1237, _u1239, _u1241) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1235), _u1237, hAPP(c_Nat_OSuc, _u1239), _u1241) )).
% 12.32/12.54 cnf(matrix-1336, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u1242, _u1243)), c_Nitpick_Opair__box_OPairBox(_u1242, _u1243, _u1244, _u1245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1337, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u1246, _u1247, _u1248, _u1249, c_Nitpick_Opair__box_OPairBox(_u1246, _u1247, _u1250, _u1251)) = hAPP(hAPP(_u1249, _u1250), _u1251)) )).
% 12.32/12.54 cnf(matrix-1338, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u1252, _u1253, _u1254, _u1255, c_Nitpick_Opair__box_OPairBox(_u1252, _u1253, _u1256, _u1257)) = hAPP(hAPP(_u1255, _u1256), _u1257)) )).
% 12.32/12.54 cnf(matrix-1339, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1259), _u1260, _u1261, _u1262) | ( _u1261 = hAPP(c_Nat_OSuc, skolem23(_u1262, _u1261, _u1260, _u1259))) )).
% 12.32/12.54 cnf(matrix-1340, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1259), _u1260, _u1261, _u1262) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1259)), _u1260, skolem23(_u1262, _u1261, _u1260, _u1259), _u1262) )).
% 12.32/12.54 cnf(matrix-1341, plain, ( ( hAPP(c_Sum__Type_OInl(_u1263, _u1264), _u1265) != hAPP(c_Sum__Type_OInr(_u1264, _u1263), _u1266)) )).
% 12.32/12.54 cnf(matrix-1342, plain, ( ( hAPP(c_Sum__Type_OInl(_u1267, _u1268), _u1269) != hAPP(c_Sum__Type_OInr(_u1268, _u1267), _u1270)) )).
% 12.32/12.54 cnf(matrix-1343, plain, ( ( hAPP(c_Sum__Type_OInr(_u1271, _u1272), _u1273) != hAPP(c_Sum__Type_OInl(_u1272, _u1271), _u1274)) )).
% 12.32/12.54 cnf(matrix-1344, plain, ( ( hAPP(c_Sum__Type_OInr(_u1275, _u1276), _u1277) != hAPP(c_Sum__Type_OInl(_u1276, _u1275), _u1278)) )).
% 12.32/12.54 cnf(matrix-1345, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1279, _u1280)), hAPP(c_Sum__Type_OInl(_u1279, _u1280), _u1281)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1346, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1282, _u1283)), hAPP(c_Sum__Type_OInr(_u1283, _u1282), _u1284)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1347, plain, ( ( _u1293 = _u1295) | ( hAPP(c_Sum__Type_OInl(_u1289, _u1291), _u1293) != hAPP(c_Sum__Type_OInl(_u1289, _u1291), _u1295)) )).
% 12.32/12.54 cnf(matrix-1348, plain, ( ( _u1294 != _u1296) | ( hAPP(c_Sum__Type_OInl(_u1290, _u1292), _u1294) = hAPP(c_Sum__Type_OInl(_u1290, _u1292), _u1296)) )).
% 12.32/12.54 cnf(matrix-1349, plain, ( ( _u1299 = _u1300) | ( hAPP(c_Sum__Type_OInr(_u1297, _u1298), _u1299) != hAPP(c_Sum__Type_OInr(_u1297, _u1298), _u1300)) )).
% 12.32/12.54 cnf(matrix-1350, plain, ( ( _u1309 = _u1311) | ( hAPP(c_Sum__Type_OInr(_u1305, _u1307), _u1309) != hAPP(c_Sum__Type_OInr(_u1305, _u1307), _u1311)) )).
% 12.32/12.54 cnf(matrix-1351, plain, ( ( _u1310 != _u1312) | ( hAPP(c_Sum__Type_OInr(_u1306, _u1308), _u1310) = hAPP(c_Sum__Type_OInr(_u1306, _u1308), _u1312)) )).
% 12.32/12.54 cnf(matrix-1352, plain, ( ( _u1315 = _u1316) | ( hAPP(c_Sum__Type_OInl(_u1313, _u1314), _u1315) != hAPP(c_Sum__Type_OInl(_u1313, _u1314), _u1316)) )).
% 12.32/12.54 cnf(matrix-1353, plain, ( ( c_Sum__Type_OProjl(_u1317, _u1318, hAPP(c_Sum__Type_OInl(_u1317, _u1318), _u1319)) = _u1319) )).
% 12.32/12.54 cnf(matrix-1354, plain, ( ( c_Sum__Type_OProjr(_u1320, _u1321, hAPP(c_Sum__Type_OInr(_u1321, _u1320), _u1322)) = _u1322) )).
% 12.32/12.54 cnf(matrix-1355, plain, ( ( c_Sum__Type_Osum_Osum__rec(_u1323, _u1324, _u1325, _u1326, _u1327, hAPP(c_Sum__Type_OInl(_u1323, _u1325), _u1328)) = hAPP(_u1326, _u1328)) )).
% 12.32/12.54 cnf(matrix-1356, plain, ( ( c_Sum__Type_Osum_Osum__rec(_u1329, _u1330, _u1331, _u1332, _u1333, hAPP(c_Sum__Type_OInr(_u1331, _u1329), _u1334)) = hAPP(_u1333, _u1334)) )).
% 12.32/12.54 cnf(matrix-1357, plain, ( ( hAPP(c_Sum__Type_OSuml(_u1335, _u1336, _u1337, _u1338), hAPP(c_Sum__Type_OInl(_u1335, _u1337), _u1339)) = hAPP(_u1338, _u1339)) )).
% 12.32/12.54 cnf(matrix-1358, plain, ( ( hAPP(c_Sum__Type_OSumr(_u1340, _u1341, _u1342, _u1343), hAPP(c_Sum__Type_OInr(_u1340, _u1342), _u1344)) = hAPP(_u1343, _u1344)) )).
% 12.32/12.54 cnf(matrix-1359, plain, ( ( hAPP(c_Com_Obody, _u1345) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1345))) )).
% 12.32/12.54 cnf(matrix-1360, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1349))) | ( hAPP(c_Com_Obody, _u1349) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem24(_u1349))) )).
% 12.32/12.54 cnf(matrix-1361, plain, ( ( hAPP(c_Com_Obody, _u1350) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1347)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1350))) )).
% 12.32/12.54 cnf(matrix-1362, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u1351))) )).
% 12.32/12.54 cnf(matrix-1363, plain, ( ( _u1353 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1353 = hAPP(c_Nat_OSuc, skolem25(_u1353))) )).
% 12.32/12.54 cnf(matrix-1364, plain, ( ~hBOOL(hAPP(_u1355, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1355, _u1356)) | hBOOL(hAPP(_u1355, skolem26(_u1356, _u1355))) )).
% 12.32/12.54 cnf(matrix-1365, plain, ( ~hBOOL(hAPP(_u1355, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1355, _u1356)) | ~hBOOL(hAPP(_u1355, hAPP(c_Nat_OSuc, skolem26(_u1356, _u1355)))) )).
% 12.32/12.54 cnf(matrix-1366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1357), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1367, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1358), hAPP(c_Nat_OSuc, _u1358))) )).
% 12.32/12.54 cnf(matrix-1368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1359), _u1360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1359)), hAPP(c_Nat_OSuc, _u1360))) )).
% 12.32/12.54 cnf(matrix-1369, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1361), _u1362)) | ( _u1361 = _u1362) | hBOOL(hAPP(hAPP(_u1363, _u1362), _u1361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1362), _u1361)) )).
% 12.32/12.54 cnf(matrix-1370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1364), _u1365)) | ( _u1364 != _u1365) )).
% 12.32/12.54 cnf(matrix-1371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1366), _u1367)) | ( _u1367 != _u1366) )).
% 12.32/12.54 cnf(matrix-1372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1368), _u1368)) )).
% 12.32/12.54 cnf(matrix-1373, plain, ( ( _u1369 = _u1370) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1369), _u1370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1370), _u1369)) )).
% 12.32/12.54 cnf(matrix-1374, plain, ( ( _u1373 = _u1375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1373), _u1375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1375), _u1373)) )).
% 12.32/12.54 cnf(matrix-1375, plain, ( ( _u1374 != _u1376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1374), _u1376)) )).
% 12.32/12.54 cnf(matrix-1376, plain, ( ( _u1374 != _u1376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1376), _u1374)) )).
% 12.32/12.54 cnf(matrix-1377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1377), _u1377)) )).
% 12.32/12.54 cnf(matrix-1378, plain, ( ( _u1381 = _u1382) | ( c_Sum__Type_OSuml(_u1378, _u1379, _u1380, _u1381) != c_Sum__Type_OSuml(_u1378, _u1379, _u1380, _u1382)) )).
% 12.32/12.54 cnf(matrix-1379, plain, ( ( _u1386 = _u1387) | ( c_Sum__Type_OSumr(_u1383, _u1384, _u1385, _u1386) != c_Sum__Type_OSumr(_u1383, _u1384, _u1385, _u1387)) )).
% 12.32/12.54 cnf(matrix-1380, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1391), _u1390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), _u1389), _u1391)) )).
% 12.32/12.54 cnf(matrix-1381, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), _u1389), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1391), _u1390))) )).
% 12.32/12.54 cnf(matrix-1382, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1394), _u1395)) )).
% 12.32/12.54 cnf(matrix-1383, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1394), _u1395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1395))) )).
% 12.32/12.54 cnf(matrix-1384, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1397), _u1398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1399)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1398), _u1399))) )).
% 12.32/12.54 cnf(matrix-1385, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1401)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1402))) )).
% 12.32/12.54 cnf(matrix-1386, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1405), _u1407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1406), _u1408))) )).
% 12.32/12.54 cnf(matrix-1387, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1410), _u1411)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1409), _u1410), _u1412)) )).
% 12.32/12.54 cnf(matrix-1388, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1415)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1413), _u1415), _u1416)) )).
% 12.32/12.54 cnf(matrix-1389, plain, ( ( _u1417 = 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)), _u1417)) )).
% 12.32/12.54 cnf(matrix-1390, plain, ( ( _u1419 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1418), _u1419)) )).
% 12.32/12.54 cnf(matrix-1391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1420), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1392, plain, ( ( _u1422 = 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)), _u1422)) )).
% 12.32/12.54 cnf(matrix-1393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1423)) | ( _u1423 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.54 cnf(matrix-1394, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1424), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.54 cnf(matrix-1395, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1427), _u1429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1429), hAPP(c_Nat_OSuc, _u1427))) )).
% 12.32/12.54 cnf(matrix-1396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1430), hAPP(c_Nat_OSuc, _u1428))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1428), _u1430)) )).
% 12.32/12.54 cnf(matrix-1397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1433), hAPP(c_Nat_OSuc, _u1435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1433), _u1435)) | ( _u1433 = _u1435) )).
% 12.32/12.54 cnf(matrix-1398, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), hAPP(c_Nat_OSuc, _u1436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), _u1436)) )).
% 12.32/12.54 cnf(matrix-1399, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1434), hAPP(c_Nat_OSuc, _u1436))) | ( _u1434 != _u1436) )).
% 12.32/12.54 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1439)), hAPP(c_Nat_OSuc, _u1441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1439), _u1441)) )).
% 12.32/12.54 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1440), _u1442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1440)), hAPP(c_Nat_OSuc, _u1442))) )).
% 12.32/12.54 cnf(matrix-1402, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), _u1444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), hAPP(c_Nat_OSuc, _u1444))) | ( _u1443 = _u1444) )).
% 12.32/12.54 cnf(matrix-1403, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), _u1444)) | ( _u1443 != _u1444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1443), hAPP(c_Nat_OSuc, _u1444))) )).
% 12.32/12.54 cnf(matrix-1404, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1445), _u1446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1445), hAPP(c_Nat_OSuc, _u1446))) | ( _u1446 = _u1445) )).
% 12.32/12.54 cnf(matrix-1405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1447), _u1448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1447), hAPP(c_Nat_OSuc, _u1448))) )).
% 12.32/12.54 cnf(matrix-1406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1449), _u1450)) | ( hAPP(c_Nat_OSuc, _u1449) = _u1450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1449)), _u1450)) )).
% 12.32/12.54 cnf(matrix-1407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1451), _u1452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1452), _u1453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1451)), _u1453)) )).
% 12.32/12.54 cnf(matrix-1408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), hAPP(c_Nat_OSuc, _u1455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), _u1455)) | ( _u1454 = _u1455) )).
% 12.32/12.54 cnf(matrix-1409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1456)), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1456), _u1457)) )).
% 12.32/12.54 cnf(matrix-1410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1458)), hAPP(c_Nat_OSuc, _u1459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), _u1459)) )).
% 12.32/12.54 cnf(matrix-1411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1460), _u1461)), _u1462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1460), _u1462)) )).
% 12.32/12.54 cnf(matrix-1412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1463), _u1464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1465), _u1464) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1463), _u1466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), _u1466)) )).
% 12.32/12.54 cnf(matrix-1413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1467), _u1468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1467), _u1469)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1468), _u1470))) )).
% 12.32/12.54 cnf(matrix-1414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1471), _u1472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1471), _u1473)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1472), _u1473))) )).
% 12.32/12.54 cnf(matrix-1415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), _u1475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1476), _u1475))) )).
% 12.32/12.54 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1477), _u1478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1478), _u1479))) )).
% 12.32/12.54 cnf(matrix-1417, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1485), _u1487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1483), _u1485)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1483), _u1487))) )).
% 12.32/12.54 cnf(matrix-1418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1486), _u1488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1484), _u1486)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1484), _u1488))) )).
% 12.32/12.54 cnf(matrix-1419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1489), _u1490)), _u1490)) )).
% 12.32/12.54 cnf(matrix-1420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1491), _u1492)), _u1491)) )).
% 12.32/12.54 cnf(matrix-1421, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1494), c_Groups_Ozero__class_Ozero(_u1493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1495), c_Groups_Ozero__class_Ozero(_u1493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1493), _u1494), _u1495)), c_Groups_Ozero__class_Ozero(_u1493))) )).
% 12.32/12.55 cnf(matrix-1422, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), _u1497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), _u1498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1496), c_Groups_Ozero__class_Ozero(_u1496)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1496), _u1497), _u1498))) )).
% 12.32/12.55 cnf(matrix-1423, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), _u1500), _u1500)), c_Groups_Ozero__class_Ozero(_u1499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), _u1500), c_Groups_Ozero__class_Ozero(_u1499))) )).
% 12.32/12.55 cnf(matrix-1424, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), _u1500), c_Groups_Ozero__class_Ozero(_u1499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1499), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), _u1500), _u1500)), c_Groups_Ozero__class_Ozero(_u1499))) )).
% 12.32/12.55 cnf(matrix-1425, plain, ( ~class_Rings_Olinordered__idom(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1501), _u1502), _u1502)), c_Groups_Ozero__class_Ozero(_u1501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), _u1502), c_Groups_Ozero__class_Ozero(_u1501))) )).
% 12.32/12.55 cnf(matrix-1426, plain, ( ~class_Rings_Olinordered__idom(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), _u1502), c_Groups_Ozero__class_Ozero(_u1501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1501), _u1502), _u1502)), c_Groups_Ozero__class_Ozero(_u1501))) )).
% 12.32/12.55 cnf(matrix-1427, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1503), _u1504), _u1504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), _u1504)) )).
% 12.32/12.55 cnf(matrix-1428, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1503), c_Groups_Ozero__class_Ozero(_u1503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1503), _u1504), _u1504))) )).
% 12.32/12.55 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1509), hAPP(c_Nat_OSuc, _u1511))) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1509 = hAPP(c_Nat_OSuc, skolem27(_u1511, _u1509))) )).
% 12.32/12.55 cnf(matrix-1430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1509), hAPP(c_Nat_OSuc, _u1511))) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem27(_u1511, _u1509)), _u1511)) )).
% 12.32/12.55 cnf(matrix-1431, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1510), hAPP(c_Nat_OSuc, _u1512))) | ( _u1510 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1432, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1510), hAPP(c_Nat_OSuc, _u1512))) | ( _u1510 != hAPP(c_Nat_OSuc, _u1506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), _u1512)) )).
% 12.32/12.55 cnf(matrix-1433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1514), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1514 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1434, plain, ( ( _u1515 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1515), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1519)) | ( _u1519 = hAPP(c_Nat_OSuc, skolem28(_u1519))) )).
% 12.32/12.55 cnf(matrix-1436, plain, ( ( _u1520 != hAPP(c_Nat_OSuc, _u1517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1520)) )).
% 12.32/12.55 cnf(matrix-1437, 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), _u1523), _u1525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1525)) )).
% 12.32/12.55 cnf(matrix-1438, 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), _u1524), _u1526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1524)) )).
% 12.32/12.55 cnf(matrix-1439, 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), _u1524), _u1526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1526)) )).
% 12.32/12.55 cnf(matrix-1440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1531), _u1533)) | ( _u1533 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1531), skolem29(_u1533, _u1531)))) )).
% 12.32/12.55 cnf(matrix-1441, plain, ( ( _u1534 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1532), _u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1532), _u1534)) )).
% 12.32/12.55 cnf(matrix-1442, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1535), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1536), _u1535)))) )).
% 12.32/12.55 cnf(matrix-1443, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1537), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1537), _u1538)))) )).
% 12.32/12.55 cnf(matrix-1444, plain, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u1540)) | ( hAPP(c_Com_Obody, _u1539) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1540)) )).
% 12.32/12.55 cnf(matrix-1445, plain, ( ( c_Option_Ooption_Ooption__size(_u1541, _u1542, hAPP(c_Option_Ooption_OSome(_u1541), _u1543)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1542, _u1543)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-1446, plain, ( ~class_Rings_Olinordered__semidom(_u1544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), c_Groups_Ozero__class_Ozero(_u1544)), _u1545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), _u1547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1544), _u1545), _u1547))) )).
% 12.32/12.55 cnf(matrix-1447, plain, ( ( c_Option_Ooption_Ooption__size(_u1548, _u1549, c_Option_Ooption_ONone(_u1548)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1448, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1551))) | ( hAPP(c_Com_Obody, _u1551) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem30(_u1551))) )).
% 12.32/12.55 cnf(matrix-1449, plain, ( ( hAPP(c_Option_Othe(_u1552), hAPP(c_Option_Ooption_OSome(_u1552), _u1553)) = _u1553) )).
% 12.32/12.55 cnf(matrix-1450, plain, ( ( c_Option_Ooption_ONone(_u1554) != hAPP(c_Option_Ooption_OSome(_u1554), _u1555)) )).
% 12.32/12.55 cnf(matrix-1451, plain, ( ( hAPP(c_Option_Ooption_OSome(_u1556), _u1557) != c_Option_Ooption_ONone(_u1556)) )).
% 12.32/12.55 cnf(matrix-1452, plain, ( ( _u1562 = hAPP(c_Option_Ooption_OSome(_u1564), skolem31(_u1564, _u1562))) | ( _u1562 = c_Option_Ooption_ONone(_u1564)) )).
% 12.32/12.55 cnf(matrix-1453, plain, ( ( _u1563 != c_Option_Ooption_ONone(_u1565)) | ( _u1563 != hAPP(c_Option_Ooption_OSome(_u1565), _u1559)) )).
% 12.32/12.55 cnf(matrix-1454, plain, ( ( _u1570 = c_Option_Ooption_ONone(_u1572)) | ( _u1570 = hAPP(c_Option_Ooption_OSome(_u1572), skolem32(_u1572, _u1570))) )).
% 12.32/12.55 cnf(matrix-1455, plain, ( ( _u1571 != hAPP(c_Option_Ooption_OSome(_u1573), _u1567)) | ( _u1571 != c_Option_Ooption_ONone(_u1573)) )).
% 12.32/12.55 cnf(matrix-1456, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1574)), hAPP(c_Option_Ooption_OSome(_u1574), _u1575)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1457, plain, ( ~class_Rings_Olinordered__idom(_u1576) | ( _u1577 = _u1578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1576), _u1577), _u1578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1576), _u1578), _u1577)) )).
% 12.32/12.55 cnf(matrix-1458, plain, ( ( _u1584 = _u1586) | ( hAPP(c_Option_Ooption_OSome(_u1582), _u1584) != hAPP(c_Option_Ooption_OSome(_u1582), _u1586)) )).
% 12.32/12.55 cnf(matrix-1459, plain, ( ( _u1585 != _u1587) | ( hAPP(c_Option_Ooption_OSome(_u1583), _u1585) = hAPP(c_Option_Ooption_OSome(_u1583), _u1587)) )).
% 12.32/12.55 cnf(matrix-1460, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1588)), c_Option_Ooption_ONone(_u1588)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1589), _u1590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1591), _u1590))) )).
% 12.32/12.55 cnf(matrix-1462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1592), _u1593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1593), _u1594))) )).
% 12.32/12.55 cnf(matrix-1463, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1595, _u1596, _u1597, _u1598), hAPP(c_Option_Ooption_OSome(_u1596), _u1599)) = hAPP(_u1598, _u1599)) )).
% 12.32/12.55 cnf(matrix-1464, plain, ( ( c_Option_Ooption_Ooption__rec(_u1600, _u1601, _u1602, _u1603, hAPP(c_Option_Ooption_OSome(_u1601), _u1604)) = hAPP(_u1603, _u1604)) )).
% 12.32/12.55 cnf(matrix-1465, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1605, _u1606, _u1607, _u1608), c_Option_Ooption_ONone(_u1606)) = _u1607) )).
% 12.32/12.55 cnf(matrix-1466, plain, ( ( c_Option_Ooption_Ooption__rec(_u1609, _u1610, _u1611, _u1612, c_Option_Ooption_ONone(_u1610)) = _u1611) )).
% 12.32/12.55 cnf(matrix-1467, plain, ( ~c_Option_Ois__none(_u1613, hAPP(c_Option_Ooption_OSome(_u1613), _u1614)) )).
% 12.32/12.55 cnf(matrix-1468, plain, ( ~c_Option_Ois__none(_u1617, _u1619) | ( _u1619 = c_Option_Ooption_ONone(_u1617)) )).
% 12.32/12.55 cnf(matrix-1469, plain, ( ( _u1620 != c_Option_Ooption_ONone(_u1618)) | c_Option_Ois__none(_u1618, _u1620) )).
% 12.32/12.55 cnf(matrix-1470, plain, ( c_Option_Ois__none(_u1621, c_Option_Ooption_ONone(_u1621)) )).
% 12.32/12.55 cnf(matrix-1471, plain, ( ~class_Rings_Olinordered__semidom(_u1622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1622), c_Groups_Ozero__class_Ozero(_u1622)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1622), _u1623))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1623)) )).
% 12.32/12.55 cnf(matrix-1472, plain, ( ~class_Rings_Olinordered__semidom(_u1622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1622), c_Groups_Ozero__class_Ozero(_u1622)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1622), _u1623))) )).
% 12.32/12.55 cnf(matrix-1473, plain, ( ~class_Nat_Osemiring__char__0(_u1624) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1625) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1626)) | ( _u1625 = _u1626) )).
% 12.32/12.55 cnf(matrix-1474, plain, ( ~class_Nat_Osemiring__char__0(_u1624) | ( _u1625 != _u1626) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1625) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1624), _u1626)) )).
% 12.32/12.55 cnf(matrix-1475, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1628) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1476, plain, ( ( _u1629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1629) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1477, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1634), _u1636)) | ( _u1636 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1634), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem33(_u1636, _u1634))))) )).
% 12.32/12.55 cnf(matrix-1479, plain, ( ( _u1637 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1635), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1631)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1635), _u1637)) )).
% 12.32/12.55 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), _u1640)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1640), _u1642)) )).
% 12.32/12.55 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1641), _u1643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1641)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1643))) )).
% 12.32/12.55 cnf(matrix-1482, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1645)), _u1646)) = 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), _u1644), _u1645))), _u1646)) )).
% 12.32/12.55 cnf(matrix-1483, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1647)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1648)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1647), _u1648))) )).
% 12.32/12.55 cnf(matrix-1484, 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), _u1650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1650)) )).
% 12.32/12.55 cnf(matrix-1485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1651)) | 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), _u1651))) )).
% 12.32/12.55 cnf(matrix-1486, plain, ( ~class_Rings_Olinordered__semidom(_u1652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1652), _u1653)), c_Groups_Ozero__class_Ozero(_u1652))) )).
% 12.32/12.55 cnf(matrix-1487, plain, ( ~class_Rings_Osemiring__1(_u1654) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1654), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1654)) )).
% 12.32/12.55 cnf(matrix-1488, plain, ( ~class_Rings_Olinordered__semidom(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1655), _u1656)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1655), _u1657))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1656), _u1657)) )).
% 12.32/12.55 cnf(matrix-1489, plain, ( ~class_Rings_Olinordered__semidom(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1658), _u1659)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1658), _u1660))) )).
% 12.32/12.55 cnf(matrix-1490, plain, ( ~class_Rings_Olinordered__semidom(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1662)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1662), _u1663)) )).
% 12.32/12.55 cnf(matrix-1491, plain, ( ~class_Rings_Olinordered__semidom(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1662), _u1663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1662)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1661), _u1663))) )).
% 12.32/12.55 cnf(matrix-1492, plain, ( ~class_Rings_Osemiring__1(_u1664) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1665), _u1666)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1664), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), _u1665)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1664), _u1666))) )).
% 12.32/12.55 cnf(matrix-1493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1668), _u1669)) | ( _u1669 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1668), skolem34(_u1669, _u1668)))) )).
% 12.32/12.55 cnf(matrix-1494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem35(_u1672, _u1671))) )).
% 12.32/12.55 cnf(matrix-1495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1671), _u1672)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1671), skolem35(_u1672, _u1671)) = _u1672) )).
% 12.32/12.55 cnf(matrix-1496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1674)) | ( _u1674 = hAPP(c_Nat_OSuc, skolem36(_u1674))) )).
% 12.32/12.55 cnf(matrix-1497, plain, ( ~class_Orderings_Oorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, skolem37(_u1679, _u1678, _u1677, _u1676))), hAPP(_u1677, hAPP(c_Nat_OSuc, skolem37(_u1679, _u1678, _u1677, _u1676))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, _u1678)), hAPP(_u1677, _u1679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1678), _u1679)) )).
% 12.32/12.55 cnf(matrix-1498, plain, ( ~class_Orderings_Oorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, skolem37(_u1679, _u1678, _u1677, _u1676))), hAPP(_u1677, hAPP(c_Nat_OSuc, skolem37(_u1679, _u1678, _u1677, _u1676))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1678), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), hAPP(_u1677, _u1678)), hAPP(_u1677, _u1679))) )).
% 12.32/12.55 cnf(matrix-1499, plain, ( ~class_Orderings_Oorder(_u1681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), hAPP(_u1682, skolem38(_u1684, _u1683, _u1682, _u1681))), hAPP(_u1682, hAPP(c_Nat_OSuc, skolem38(_u1684, _u1683, _u1682, _u1681))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1683), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), hAPP(_u1682, _u1683)), hAPP(_u1682, _u1684))) )).
% 12.32/12.55 cnf(matrix-1500, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1685)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1686)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1685), _u1686))) )).
% 12.32/12.55 cnf(matrix-1501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1689)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1689), _u1691)) )).
% 12.32/12.55 cnf(matrix-1502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1690), _u1692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1690)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1692))) )).
% 12.32/12.55 cnf(matrix-1503, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1504, plain, ( ~class_Orderings_Opreorder(_u1693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1693), _u1694), _u1694)) )).
% 12.32/12.55 cnf(matrix-1505, plain, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 = _u1697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1696), _u1697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1697), _u1696)) )).
% 12.32/12.55 cnf(matrix-1506, plain, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 != _u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1696), _u1697)) )).
% 12.32/12.55 cnf(matrix-1507, plain, ( ~class_Orderings_Olinorder(_u1695) | ( _u1696 != _u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1695), _u1697), _u1696)) )).
% 12.32/12.55 cnf(matrix-1508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1698)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1509, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1701) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1703)) | ( _u1701 = _u1703) )).
% 12.32/12.55 cnf(matrix-1510, plain, ( ( _u1702 != _u1704) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1702) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1704)) )).
% 12.32/12.55 cnf(matrix-1511, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1707) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1709)) | ( _u1707 = _u1709) )).
% 12.32/12.55 cnf(matrix-1512, plain, ( ( _u1708 != _u1710) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1708) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1710)) )).
% 12.32/12.55 cnf(matrix-1513, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1711) = _u1711) )).
% 12.32/12.55 cnf(matrix-1514, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1712) )).
% 12.32/12.55 cnf(matrix-1515, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1713), _u1714)), _u1715) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1713), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1714), _u1715))) )).
% 12.32/12.55 cnf(matrix-1516, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1716), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1717), _u1718)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1716), _u1718))) )).
% 12.32/12.55 cnf(matrix-1517, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1719), _u1720) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1720), _u1719)) )).
% 12.32/12.55 cnf(matrix-1518, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1721), _u1722)) | ( _u1721 = _u1722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1722), _u1721)) )).
% 12.32/12.55 cnf(matrix-1519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1723), _u1724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1723), _u1725)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1724), _u1725))) )).
% 12.32/12.55 cnf(matrix-1520, plain, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ( _u1727 = _u1728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1728), _u1727)) )).
% 12.32/12.55 cnf(matrix-1521, plain, ( ~class_Orderings_Opreorder(_u1729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1730), _u1731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1731), _u1730)) )).
% 12.32/12.55 cnf(matrix-1522, plain, ( ~class_Orderings_Oorder(_u1732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1733), _u1734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1735), _u1733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1735), _u1734)) )).
% 12.32/12.55 cnf(matrix-1523, plain, ( ~class_Orderings_Opreorder(_u1736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1737), _u1738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1738), _u1739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), _u1737), _u1739)) )).
% 12.32/12.55 cnf(matrix-1524, plain, ( ~class_Orderings_Oorder(_u1740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1740), _u1741), _u1742)) | ( _u1741 != _u1743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1740), _u1743), _u1742)) )).
% 12.32/12.55 cnf(matrix-1525, plain, ( ~class_Orderings_Oord(_u1744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1745), _u1746)) | ( _u1746 != _u1747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1745), _u1747)) )).
% 12.32/12.55 cnf(matrix-1526, plain, ( ~class_Orderings_Oorder(_u1748) | ( _u1749 != _u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), _u1751), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), _u1751), _u1749)) )).
% 12.32/12.55 cnf(matrix-1527, plain, ( ~class_Orderings_Oord(_u1752) | ( _u1753 != _u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1752), _u1754), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1752), _u1753), _u1755)) )).
% 12.32/12.55 cnf(matrix-1528, plain, ( ~class_Orderings_Oorder(_u1756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1757), _u1758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1758), _u1757)) )).
% 12.32/12.55 cnf(matrix-1529, plain, ( ~class_Orderings_Opreorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1761), _u1760)) )).
% 12.32/12.55 cnf(matrix-1530, plain, ( ~class_Orderings_Oorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | ( _u1764 != _u1763) )).
% 12.32/12.55 cnf(matrix-1531, plain, ( ~class_Orderings_Oorder(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | ( _u1766 != _u1767) )).
% 12.32/12.55 cnf(matrix-1532, plain, ( ~class_Orderings_Opreorder(_u1768) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1769), _u1770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1770), _u1769)) )).
% 12.32/12.55 cnf(matrix-1533, plain, ( ~class_Orderings_Opreorder(_u1771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1772), _u1773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1773), _u1772)) )).
% 12.32/12.55 cnf(matrix-1534, plain, ( ~class_Orderings_Oorder(_u1774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1776) )).
% 12.32/12.55 cnf(matrix-1535, plain, ( ~class_Orderings_Olinorder(_u1777) | ( _u1778 = _u1779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1778), _u1779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1779), _u1778)) )).
% 12.32/12.55 cnf(matrix-1536, plain, ( ~class_Orderings_Olinorder(_u1780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1781), _u1782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) | ( _u1782 = _u1781) )).
% 12.32/12.55 cnf(matrix-1537, plain, ( ~class_Orderings_Olinorder(_u1780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1781), _u1782)) | ( _u1782 != _u1781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) )).
% 12.32/12.55 cnf(matrix-1538, plain, ( ~class_Orderings_Olinorder(_u1783) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1784), _u1785)) | ( _u1784 = _u1785) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1785), _u1784)) )).
% 12.32/12.55 cnf(matrix-1539, plain, ( ~class_Orderings_Olinorder(_u1786) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1788), _u1787)) | ( _u1787 = _u1788) )).
% 12.32/12.55 cnf(matrix-1540, plain, ( ~class_Orderings_Olinorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1788), _u1787)) )).
% 12.32/12.55 cnf(matrix-1541, plain, ( ~class_Orderings_Olinorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | ( _u1787 != _u1788) )).
% 12.32/12.55 cnf(matrix-1542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem39(_u1790))) )).
% 12.32/12.55 cnf(matrix-1543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1790)) | ( _u1790 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem39(_u1790))) )).
% 12.32/12.55 cnf(matrix-1544, plain, ( ~class_Rings_Olinordered__idom(_u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), hAPP(c_Int_Oring__1__class_Oof__int(_u1791), _u1792)), c_Groups_Ozero__class_Ozero(_u1791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1792), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1545, plain, ( ~class_Rings_Olinordered__idom(_u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1792), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), hAPP(c_Int_Oring__1__class_Oof__int(_u1791), _u1792)), c_Groups_Ozero__class_Ozero(_u1791))) )).
% 12.32/12.55 cnf(matrix-1546, plain, ( ~class_Rings_Olinordered__idom(_u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1793), c_Groups_Ozero__class_Ozero(_u1793)), hAPP(c_Int_Oring__1__class_Oof__int(_u1793), _u1794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1794)) )).
% 12.32/12.55 cnf(matrix-1547, plain, ( ~class_Rings_Olinordered__idom(_u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1793), c_Groups_Ozero__class_Ozero(_u1793)), hAPP(c_Int_Oring__1__class_Oof__int(_u1793), _u1794))) )).
% 12.32/12.55 cnf(matrix-1548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1795), _u1796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1797)) | 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), _u1797)), _u1795)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1797)), _u1796))) )).
% 12.32/12.55 cnf(matrix-1549, 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, _u1798)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1550, plain, ( ~hBOOL(hAPP(_u1803, hAPP(c_Int_Onat, _u1805))) | ( _u1805 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1799)) | hBOOL(hAPP(_u1803, _u1799)) )).
% 12.32/12.55 cnf(matrix-1551, plain, ( ~hBOOL(hAPP(_u1803, hAPP(c_Int_Onat, _u1805))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1805), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1803, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1552, plain, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ( _u1806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1806, _u1804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1806), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1553, plain, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ( _u1806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1806, _u1804))) | ~hBOOL(hAPP(_u1804, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1554, plain, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ~hBOOL(hAPP(_u1804, skolem40(_u1806, _u1804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1806), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1555, plain, ( hBOOL(hAPP(_u1804, hAPP(c_Int_Onat, _u1806))) | ~hBOOL(hAPP(_u1804, skolem40(_u1806, _u1804))) | ~hBOOL(hAPP(_u1804, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1808)) )).
% 12.32/12.55 cnf(matrix-1557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1809))) )).
% 12.32/12.55 cnf(matrix-1558, 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, _u1810)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1811))) )).
% 12.32/12.55 cnf(matrix-1559, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1812)) = 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), _u1812))) )).
% 12.32/12.55 cnf(matrix-1560, 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)), _u1814)), _u1814)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1814), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1815), 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)), _u1815)), _u1815)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1562, plain, ( ~class_Rings_Ocomm__semiring__1(_u1816) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1816), _u1817), _u1818)), _u1818) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1816), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1816), _u1817), c_Groups_Oone__class_Oone(_u1816))), _u1818)) )).
% 12.32/12.55 cnf(matrix-1563, plain, ( ~class_Rings_Ocomm__semiring__1(_u1819) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1819), _u1820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1819), _u1821), _u1820)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1819), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1819), _u1821), c_Groups_Oone__class_Oone(_u1819))), _u1820)) )).
% 12.32/12.55 cnf(matrix-1564, plain, ( ~class_Rings_Ocomm__semiring__1(_u1822) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), _u1823), _u1823) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), c_Groups_Oone__class_Oone(_u1822)), c_Groups_Oone__class_Oone(_u1822))), _u1823)) )).
% 12.32/12.55 cnf(matrix-1565, plain, ( ~class_Rings_Olinordered__semidom(_u1824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), _u1826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1824), c_Groups_Oone__class_Oone(_u1824)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), _u1826))) )).
% 12.32/12.55 cnf(matrix-1566, plain, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 = _u1829) | ( _u1828 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1829)) )).
% 12.32/12.55 cnf(matrix-1567, plain, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 != _u1829) )).
% 12.32/12.55 cnf(matrix-1568, plain, ( ~class_Rings_Oidom(_u1827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1828) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1829)) | ( _u1828 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1829)) )).
% 12.32/12.55 cnf(matrix-1569, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) != c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1830), c_Groups_Oone__class_Oone(_u1830))) )).
% 12.32/12.55 cnf(matrix-1570, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 != c_Groups_Oone__class_Oone(_u1830)) )).
% 12.32/12.55 cnf(matrix-1571, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1830) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1830), _u1831), _u1831) = c_Groups_Oone__class_Oone(_u1830)) | ( _u1831 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1830), c_Groups_Oone__class_Oone(_u1830))) )).
% 12.32/12.55 cnf(matrix-1572, plain, ( ~class_Rings_Oring(_u1832) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1832), hAPP(c_Groups_Ouminus__class_Ouminus(_u1832), _u1833)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1832), _u1834)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1832), _u1833), _u1834)) )).
% 12.32/12.55 cnf(matrix-1573, plain, ( ~class_Rings_Oring(_u1835) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), hAPP(c_Groups_Ouminus__class_Ouminus(_u1835), _u1836)), _u1837) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1836), hAPP(c_Groups_Ouminus__class_Ouminus(_u1835), _u1837))) )).
% 12.32/12.55 cnf(matrix-1574, plain, ( ~class_Rings_Oring(_u1838) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1838), _u1839), _u1840)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1838), hAPP(c_Groups_Ouminus__class_Ouminus(_u1838), _u1839)), _u1840)) )).
% 12.32/12.55 cnf(matrix-1575, plain, ( ~class_Rings_Oring(_u1841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1842), _u1843)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1842), hAPP(c_Groups_Ouminus__class_Ouminus(_u1841), _u1843))) )).
% 12.32/12.55 cnf(matrix-1576, plain, ( ~class_Rings_Ocomm__semiring__1(_u1844) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1845), _u1846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1847), _u1848)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1845), _u1847)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1844), _u1846), _u1848))) )).
% 12.32/12.55 cnf(matrix-1577, plain, ( ~class_Rings_Ocomm__semiring__1(_u1849) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1852), _u1853)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851)), _u1853))) )).
% 12.32/12.55 cnf(matrix-1578, plain, ( ~class_Rings_Ocomm__semiring__1(_u1854) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), _u1856)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1857), _u1858)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1856), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1857), _u1858)))) )).
% 12.32/12.55 cnf(matrix-1579, plain, ( ~class_Rings_Ocomm__semiring__1(_u1859) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1861)), _u1862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1862)), _u1861)) )).
% 12.32/12.55 cnf(matrix-1580, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1863), _u1864)), _u1865) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1863), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1864), _u1865))) )).
% 12.32/12.55 cnf(matrix-1581, plain, ( ~class_Rings_Ocomm__semiring__1(_u1866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1867), _u1868)), _u1869) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1866), _u1868), _u1869))) )).
% 12.32/12.55 cnf(matrix-1582, plain, ( ~class_Groups_Oab__semigroup__mult(_u1870) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1871), _u1872)), _u1873) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1870), _u1872), _u1873))) )).
% 12.32/12.55 cnf(matrix-1583, plain, ( ~class_Groups_Ogroup__add(_u1874) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1875) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1876)) | ( _u1875 = _u1876) )).
% 12.32/12.55 cnf(matrix-1584, plain, ( ~class_Groups_Ogroup__add(_u1874) | ( _u1875 != _u1876) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1875) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1874), _u1876)) )).
% 12.32/12.55 cnf(matrix-1585, plain, ( ~class_Int_Oring__char__0(_u1877) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1878) != hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1879)) | ( _u1878 = _u1879) )).
% 12.32/12.55 cnf(matrix-1586, plain, ( ~class_Int_Oring__char__0(_u1877) | ( _u1878 != _u1879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1878) = hAPP(c_Int_Oring__1__class_Oof__int(_u1877), _u1879)) )).
% 12.32/12.55 cnf(matrix-1587, plain, ( ~class_Groups_Ogroup__add(_u1880) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1881) != _u1882) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1882) = _u1881) )).
% 12.32/12.55 cnf(matrix-1588, plain, ( ~class_Groups_Ogroup__add(_u1880) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1882) != _u1881) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1880), _u1881) = _u1882) )).
% 12.32/12.55 cnf(matrix-1589, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1883)), _u1884) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1883), _u1884))) )).
% 12.32/12.55 cnf(matrix-1590, plain, ( ~class_Rings_Ocomm__semiring__1(_u1885) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1887), _u1888)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1886), _u1887)), _u1888)) )).
% 12.32/12.55 cnf(matrix-1591, plain, ( ~class_Rings_Ocomm__semiring__1(_u1889) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), _u1892)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), _u1892))) )).
% 12.32/12.55 cnf(matrix-1592, plain, ( ~class_Groups_Ogroup__add(_u1893) | ( _u1894 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1895)) | ( _u1895 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1894)) )).
% 12.32/12.55 cnf(matrix-1593, plain, ( ~class_Groups_Ogroup__add(_u1893) | ( _u1895 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1894)) | ( _u1894 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1893), _u1895)) )).
% 12.32/12.55 cnf(matrix-1594, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1896), _u1897) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1897), _u1896)) )).
% 12.32/12.55 cnf(matrix-1595, plain, ( ~class_Rings_Ocomm__semiring__1(_u1898) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1898), _u1899), _u1900) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1898), _u1900), _u1899)) )).
% 12.32/12.55 cnf(matrix-1596, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1901), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1901) )).
% 12.32/12.55 cnf(matrix-1597, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1902) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1903), c_Groups_Oone__class_Oone(_u1902)) = _u1903) )).
% 12.32/12.55 cnf(matrix-1598, plain, ( ~class_Rings_Ocomm__semiring__1(_u1904) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1904), _u1905), c_Groups_Oone__class_Oone(_u1904)) = _u1905) )).
% 12.32/12.55 cnf(matrix-1599, plain, ( ~class_Groups_Omonoid__mult(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), c_Groups_Oone__class_Oone(_u1906)) = _u1907) )).
% 12.32/12.55 cnf(matrix-1600, plain, ( ~class_Groups_Oone(_u1908) | ( c_Groups_Oone__class_Oone(_u1908) != _u1909) | ( _u1909 = c_Groups_Oone__class_Oone(_u1908)) )).
% 12.32/12.55 cnf(matrix-1601, plain, ( ~class_Groups_Oone(_u1908) | ( _u1909 != c_Groups_Oone__class_Oone(_u1908)) | ( c_Groups_Oone__class_Oone(_u1908) = _u1909) )).
% 12.32/12.55 cnf(matrix-1602, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1910) = _u1910) )).
% 12.32/12.55 cnf(matrix-1603, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), c_Groups_Oone__class_Oone(_u1911)), _u1912) = _u1912) )).
% 12.32/12.55 cnf(matrix-1604, plain, ( ~class_Rings_Ocomm__semiring__1(_u1913) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1913), c_Groups_Oone__class_Oone(_u1913)), _u1914) = _u1914) )).
% 12.32/12.55 cnf(matrix-1605, plain, ( ~class_Groups_Omonoid__mult(_u1915) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), c_Groups_Oone__class_Oone(_u1915)), _u1916) = _u1916) )).
% 12.32/12.55 cnf(matrix-1606, plain, ( ~class_Rings_Oring__1(_u1917) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1917), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1918), _u1919)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1917), hAPP(c_Int_Oring__1__class_Oof__int(_u1917), _u1918)), hAPP(c_Int_Oring__1__class_Oof__int(_u1917), _u1919))) )).
% 12.32/12.55 cnf(matrix-1607, plain, ( ~class_Rings_Oring__1(_u1920) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1920), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1921)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1920), hAPP(c_Int_Oring__1__class_Oof__int(_u1920), _u1921))) )).
% 12.32/12.55 cnf(matrix-1608, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1922)) = _u1922) )).
% 12.32/12.55 cnf(matrix-1609, plain, ( ~class_Groups_Ogroup__add(_u1923) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1923), hAPP(c_Groups_Ouminus__class_Ouminus(_u1923), _u1924)) = _u1924) )).
% 12.32/12.55 cnf(matrix-1610, plain, ( ~class_Rings_Ocomm__ring__1(_u1925) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1925), _u1926) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), hAPP(c_Groups_Ouminus__class_Ouminus(_u1925), c_Groups_Oone__class_Oone(_u1925))), _u1926)) )).
% 12.32/12.55 cnf(matrix-1611, plain, ( ~class_Rings_Oring__1(_u1927) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1927), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1927)) )).
% 12.32/12.55 cnf(matrix-1612, plain, ( ~class_Rings_Osemiring__1(_u1928) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1929), _u1930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1928), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), _u1929)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1928), _u1930))) )).
% 12.32/12.55 cnf(matrix-1613, plain, ( ~class_Rings_Osemiring__1(_u1931) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1931), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1931)) )).
% 12.32/12.55 cnf(matrix-1614, plain, ( ~class_Rings_Oring__1(_u1932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1932), _u1933) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1932), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1932), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1933))))) )).
% 12.32/12.55 cnf(matrix-1615, plain, ( ~class_Rings_Oring__1(_u1932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1932), _u1933) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1932), hAPP(c_Int_Onat, _u1933))) )).
% 12.32/12.55 cnf(matrix-1616, 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), _u1934))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1617, plain, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1935 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1936 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1935)) | ( _u1935 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1936 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1935), _u1936) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1621, plain, ( ~class_Groups_Ogroup__add(_u1937) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1937), c_Groups_Ozero__class_Ozero(_u1937)) = c_Groups_Ozero__class_Ozero(_u1937)) )).
% 12.32/12.55 cnf(matrix-1622, plain, ( ~class_Groups_Ogroup__add(_u1938) | ( c_Groups_Ozero__class_Ozero(_u1938) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1938), _u1939)) | ( c_Groups_Ozero__class_Ozero(_u1938) = _u1939) )).
% 12.32/12.55 cnf(matrix-1623, plain, ( ~class_Groups_Ogroup__add(_u1938) | ( c_Groups_Ozero__class_Ozero(_u1938) != _u1939) | ( c_Groups_Ozero__class_Ozero(_u1938) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1938), _u1939)) )).
% 12.32/12.55 cnf(matrix-1624, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1940) | ( _u1941 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1940), _u1941)) | ( _u1941 = c_Groups_Ozero__class_Ozero(_u1940)) )).
% 12.32/12.55 cnf(matrix-1625, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1940) | ( _u1941 != c_Groups_Ozero__class_Ozero(_u1940)) | ( _u1941 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1940), _u1941)) )).
% 12.32/12.55 cnf(matrix-1626, plain, ( ~class_Groups_Ogroup__add(_u1942) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1942), _u1943) != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.32/12.55 cnf(matrix-1627, plain, ( ~class_Groups_Ogroup__add(_u1942) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1942), _u1943) = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.32/12.55 cnf(matrix-1628, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1944) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1944), _u1945) != _u1945) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1944)) )).
% 12.32/12.55 cnf(matrix-1629, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1944) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1944)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1944), _u1945) = _u1945) )).
% 12.32/12.55 cnf(matrix-1630, plain, ( ~class_Groups_Oordered__ab__group__add(_u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1947)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), _u1948), _u1947)) )).
% 12.32/12.55 cnf(matrix-1631, plain, ( ~class_Groups_Oordered__ab__group__add(_u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), _u1948), _u1947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1946), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1947)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1946), _u1948))) )).
% 12.32/12.55 cnf(matrix-1632, plain, ( ~class_Groups_Oordered__ab__group__add(_u1949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1950)), _u1951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1951)), _u1950)) )).
% 12.32/12.55 cnf(matrix-1633, plain, ( ~class_Groups_Oordered__ab__group__add(_u1949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1951)), _u1950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1949), hAPP(c_Groups_Ouminus__class_Ouminus(_u1949), _u1950)), _u1951)) )).
% 12.32/12.55 cnf(matrix-1634, plain, ( ~class_Groups_Oordered__ab__group__add(_u1952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1953), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1954), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1953))) )).
% 12.32/12.55 cnf(matrix-1635, plain, ( ~class_Groups_Oordered__ab__group__add(_u1952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1954), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1953))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1952), _u1953), hAPP(c_Groups_Ouminus__class_Ouminus(_u1952), _u1954))) )).
% 12.32/12.55 cnf(matrix-1636, plain, ( ~class_Groups_Oab__group__add(_u1955) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1956), _u1957)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), _u1956)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1955), _u1957))) )).
% 12.32/12.55 cnf(matrix-1637, plain, ( ~class_Groups_Ogroup__add(_u1958) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1958), _u1959), _u1960)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1958), hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), _u1960)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1958), _u1959))) )).
% 12.32/12.55 cnf(matrix-1638, plain, ( ~class_Groups_Ogroup__add(_u1961) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1961), _u1962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1961), hAPP(c_Groups_Ouminus__class_Ouminus(_u1961), _u1962)), _u1963)) = _u1963) )).
% 12.32/12.55 cnf(matrix-1639, plain, ( ~class_Groups_Ogroup__add(_u1964) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), _u1965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1966)) = _u1966) )).
% 12.32/12.55 cnf(matrix-1640, plain, ( ~class_Rings_Ocomm__semiring__1(_u1967) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), c_Groups_Ozero__class_Ozero(_u1967)), _u1968) = c_Groups_Ozero__class_Ozero(_u1967)) )).
% 12.32/12.55 cnf(matrix-1641, plain, ( ~class_Rings_Ocomm__semiring__1(_u1969) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1969), _u1970), c_Groups_Ozero__class_Ozero(_u1969)) = c_Groups_Ozero__class_Ozero(_u1969)) )).
% 12.32/12.55 cnf(matrix-1642, plain, ( ~class_Rings_Omult__zero(_u1971) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1971), c_Groups_Ozero__class_Ozero(_u1971)), _u1972) = c_Groups_Ozero__class_Ozero(_u1971)) )).
% 12.32/12.55 cnf(matrix-1643, plain, ( ~class_Rings_Omult__zero(_u1973) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1973), _u1974), c_Groups_Ozero__class_Ozero(_u1973)) = c_Groups_Ozero__class_Ozero(_u1973)) )).
% 12.32/12.55 cnf(matrix-1644, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) != c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1976 = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1977 = c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.32/12.55 cnf(matrix-1645, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1976 != c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.32/12.55 cnf(matrix-1646, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1975) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1976), _u1977) = c_Groups_Ozero__class_Ozero(_u1975)) | ( _u1977 != c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.32/12.55 cnf(matrix-1647, plain, ( ~class_Rings_Ono__zero__divisors(_u1978) | ( _u1979 = c_Groups_Ozero__class_Ozero(_u1978)) | ( _u1980 = c_Groups_Ozero__class_Ozero(_u1978)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), _u1980) != c_Groups_Ozero__class_Ozero(_u1978)) )).
% 12.32/12.55 cnf(matrix-1648, plain, ( ~class_Rings_Ono__zero__divisors(_u1981) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1981), _u1982), _u1983) != c_Groups_Ozero__class_Ozero(_u1981)) | ( _u1982 = c_Groups_Ozero__class_Ozero(_u1981)) | ( _u1983 = c_Groups_Ozero__class_Ozero(_u1981)) )).
% 12.32/12.55 cnf(matrix-1649, plain, ( ~class_Rings_Ozero__neq__one(_u1984) | ( c_Groups_Oone__class_Oone(_u1984) != c_Groups_Ozero__class_Ozero(_u1984)) )).
% 12.32/12.55 cnf(matrix-1650, plain, ( ~class_Rings_Ozero__neq__one(_u1985) | ( c_Groups_Ozero__class_Ozero(_u1985) != c_Groups_Oone__class_Oone(_u1985)) )).
% 12.32/12.55 cnf(matrix-1651, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1652, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1986)) = _u1986) )).
% 12.32/12.55 cnf(matrix-1653, plain, ( ~class_Rings_Ocomm__semiring__1(_u1987) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1987), _u1989), _u1990)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), _u1989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), _u1990))) )).
% 12.32/12.55 cnf(matrix-1654, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( _u1992 = _u1993) | ( _u1994 = _u1995) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) )).
% 12.32/12.55 cnf(matrix-1655, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) | ( _u1992 != _u1993) )).
% 12.32/12.55 cnf(matrix-1656, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1991) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) | ( _u1994 != _u1995) )).
% 12.32/12.55 cnf(matrix-1657, plain, ( ~class_Rings_Ocomm__semiring__1(_u1996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1996), _u1997), _u1998)), _u1999) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1997), _u1999)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1998), _u1999))) )).
% 12.32/12.55 cnf(matrix-1658, plain, ( ~class_Rings_Ocomm__semiring__1(_u2000) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2002)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2003), _u2002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2000), _u2001), _u2003)), _u2002)) )).
% 12.32/12.55 cnf(matrix-1659, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2005 = _u2007) | ( _u2006 = _u2008) )).
% 12.32/12.55 cnf(matrix-1660, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2005 != _u2007) )).
% 12.32/12.55 cnf(matrix-1661, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2008)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2004), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2005), _u2008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2004), _u2007), _u2006))) | ( _u2006 != _u2008) )).
% 12.32/12.55 cnf(matrix-1662, plain, ( ~class_Rings_Ocomm__semiring(_u2009) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2010), _u2011)), _u2012) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), _u2010), _u2012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2009), _u2011), _u2012))) )).
% 12.32/12.55 cnf(matrix-1663, plain, ( ~class_Rings_Osemiring(_u2013) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), _u2014), _u2015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), _u2016), _u2015)), _u2017)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2013), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2013), _u2014), _u2016)), _u2015)), _u2017)) )).
% 12.32/12.55 cnf(matrix-1664, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2018), _u2019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2018)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2019))) )).
% 12.32/12.55 cnf(matrix-1665, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2021), _u2022)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), _u2021)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2020), _u2022))) )).
% 12.32/12.55 cnf(matrix-1666, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2023), _u2024)), _u2025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2023), _u2025)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2024), _u2025))) )).
% 12.32/12.55 cnf(matrix-1667, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1668, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2026)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2026)) )).
% 12.32/12.55 cnf(matrix-1669, 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, _u2028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2028)) )).
% 12.32/12.55 cnf(matrix-1670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2029)) | 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, _u2029))) )).
% 12.32/12.55 cnf(matrix-1671, plain, ( ~class_Groups_Oordered__ab__group__add(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), c_Groups_Ozero__class_Ozero(_u2030)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), _u2031), c_Groups_Ozero__class_Ozero(_u2030))) )).
% 12.32/12.55 cnf(matrix-1672, plain, ( ~class_Groups_Oordered__ab__group__add(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), _u2031), c_Groups_Ozero__class_Ozero(_u2030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2030), c_Groups_Ozero__class_Ozero(_u2030)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) )).
% 12.32/12.55 cnf(matrix-1673, plain, ( ~class_Groups_Oordered__ab__group__add(_u2032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), hAPP(c_Groups_Ouminus__class_Ouminus(_u2032), _u2033)), c_Groups_Ozero__class_Ozero(_u2032))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), c_Groups_Ozero__class_Ozero(_u2032)), _u2033)) )).
% 12.32/12.55 cnf(matrix-1674, plain, ( ~class_Groups_Oordered__ab__group__add(_u2032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), c_Groups_Ozero__class_Ozero(_u2032)), _u2033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2032), hAPP(c_Groups_Ouminus__class_Ouminus(_u2032), _u2033)), c_Groups_Ozero__class_Ozero(_u2032))) )).
% 12.32/12.55 cnf(matrix-1675, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), _u2035)), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035)) )).
% 12.32/12.55 cnf(matrix-1676, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2034), hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), _u2035)), _u2035)) )).
% 12.32/12.55 cnf(matrix-1677, plain, ( ~class_Rings_Olinordered__idom(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036))) )).
% 12.32/12.55 cnf(matrix-1678, plain, ( ~class_Rings_Olinordered__idom(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2036), _u2037), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) )).
% 12.32/12.55 cnf(matrix-1679, plain, ( ~class_Groups_Ogroup__add(_u2038) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2038), _u2039), _u2040) != c_Groups_Ozero__class_Ozero(_u2038)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2038), _u2039) = _u2040) )).
% 12.32/12.55 cnf(matrix-1680, plain, ( ~class_Groups_Oab__group__add(_u2041) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2041), hAPP(c_Groups_Ouminus__class_Ouminus(_u2041), _u2042)), _u2042) = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.32/12.55 cnf(matrix-1681, plain, ( ~class_Groups_Ogroup__add(_u2043) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2043), hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044)), _u2044) = c_Groups_Ozero__class_Ozero(_u2043)) )).
% 12.32/12.55 cnf(matrix-1682, plain, ( ~class_Groups_Ogroup__add(_u2045) | ( _u2046 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), _u2046), _u2047) = c_Groups_Ozero__class_Ozero(_u2045)) )).
% 12.32/12.55 cnf(matrix-1683, plain, ( ~class_Groups_Ogroup__add(_u2045) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), _u2046), _u2047) != c_Groups_Ozero__class_Ozero(_u2045)) | ( _u2046 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047)) )).
% 12.32/12.55 cnf(matrix-1684, plain, ( ~class_Groups_Ogroup__add(_u2048) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2048), _u2049), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)) = c_Groups_Ozero__class_Ozero(_u2048)) )).
% 12.32/12.55 cnf(matrix-1685, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1686, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1687, plain, ( ~class_Rings_Olinordered__ring(_u2050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2050), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2050), _u2051), _u2051)), c_Groups_Ozero__class_Ozero(_u2050))) )).
% 12.32/12.55 cnf(matrix-1688, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) )).
% 12.32/12.55 cnf(matrix-1689, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.32/12.55 cnf(matrix-1690, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) )).
% 12.32/12.55 cnf(matrix-1691, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.32/12.55 cnf(matrix-1692, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), c_Groups_Ozero__class_Ozero(_u2052)), _u2054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2053), _u2055)) )).
% 12.32/12.55 cnf(matrix-1693, plain, ( ~class_Rings_Olinordered__ring__strict(_u2052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2053), _u2054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2052), _u2055), _u2054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2054), c_Groups_Ozero__class_Ozero(_u2052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2052), _u2055), _u2053)) )).
% 12.32/12.55 cnf(matrix-1694, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) )).
% 12.32/12.55 cnf(matrix-1695, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.32/12.55 cnf(matrix-1696, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) )).
% 12.32/12.55 cnf(matrix-1697, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.32/12.55 cnf(matrix-1698, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), c_Groups_Ozero__class_Ozero(_u2056)), _u2057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2058), _u2059)) )).
% 12.32/12.55 cnf(matrix-1699, plain, ( ~class_Rings_Olinordered__ring__strict(_u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2056), _u2057), _u2059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2057), c_Groups_Ozero__class_Ozero(_u2056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2056), _u2059), _u2058)) )).
% 12.32/12.55 cnf(matrix-1700, plain, ( ~class_Rings_Olinordered__ring__strict(_u2060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), c_Groups_Ozero__class_Ozero(_u2060)), _u2061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2063))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), _u2062), _u2063)) )).
% 12.32/12.55 cnf(matrix-1701, plain, ( ~class_Rings_Olinordered__ring__strict(_u2060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), c_Groups_Ozero__class_Ozero(_u2060)), _u2061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), _u2062), _u2063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2060), _u2061), _u2063))) )).
% 12.32/12.55 cnf(matrix-1702, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), _u2065)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), _u2066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2064), c_Groups_Ozero__class_Ozero(_u2064)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2064), _u2065), _u2066))) )).
% 12.32/12.55 cnf(matrix-1703, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), c_Groups_Ozero__class_Ozero(_u2067)), _u2068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), _u2069), c_Groups_Ozero__class_Ozero(_u2067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2069)), c_Groups_Ozero__class_Ozero(_u2067))) )).
% 12.32/12.55 cnf(matrix-1704, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), c_Groups_Ozero__class_Ozero(_u2070)), _u2071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), _u2072), c_Groups_Ozero__class_Ozero(_u2070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2072), _u2071)), c_Groups_Ozero__class_Ozero(_u2070))) )).
% 12.32/12.55 cnf(matrix-1705, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2073), _u2074), _u2075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), _u2074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2073), c_Groups_Ozero__class_Ozero(_u2073)), _u2075)) )).
% 12.32/12.55 cnf(matrix-1706, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2076) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2077), _u2078))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), _u2078)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2076), c_Groups_Ozero__class_Ozero(_u2076)), _u2077)) )).
% 12.32/12.55 cnf(matrix-1707, plain, ( ~class_Rings_Olinordered__ring__strict(_u2079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2080), c_Groups_Ozero__class_Ozero(_u2079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2082), _u2081)) )).
% 12.32/12.55 cnf(matrix-1708, plain, ( ~class_Rings_Olinordered__ring__strict(_u2079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2080), c_Groups_Ozero__class_Ozero(_u2079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), _u2082), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2079), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2079), _u2080), _u2082))) )).
% 12.32/12.55 cnf(matrix-1709, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2083) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), _u2084), c_Groups_Ozero__class_Ozero(_u2083))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), c_Groups_Ozero__class_Ozero(_u2083)), _u2085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2083), _u2084), _u2085)), c_Groups_Ozero__class_Ozero(_u2083))) )).
% 12.32/12.55 cnf(matrix-1710, plain, ( ~class_Rings_Olinordered__ring__strict(_u2086) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), _u2087), c_Groups_Ozero__class_Ozero(_u2086))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), _u2088), c_Groups_Ozero__class_Ozero(_u2086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2086), c_Groups_Ozero__class_Ozero(_u2086)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2087), _u2088))) )).
% 12.32/12.55 cnf(matrix-1711, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), _u2090), _u2091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), c_Groups_Ozero__class_Ozero(_u2089)), _u2092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2089), _u2090), _u2092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2089), _u2091), _u2092))) )).
% 12.32/12.55 cnf(matrix-1712, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), _u2094), _u2095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), c_Groups_Ozero__class_Ozero(_u2093)), _u2096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2093), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2093), _u2096), _u2094)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2093), _u2096), _u2095))) )).
% 12.32/12.55 cnf(matrix-1713, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2097), _u2100), _u2098)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2097), _u2100), _u2099))) )).
% 12.32/12.55 cnf(matrix-1714, plain, ( ~class_Rings_Olinordered__ring__strict(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), _u2102), _u2103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), _u2104), c_Groups_Ozero__class_Ozero(_u2101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2101), _u2103), _u2104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2101), _u2102), _u2104))) )).
% 12.32/12.55 cnf(matrix-1715, plain, ( ~class_Rings_Olinordered__ring__strict(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), _u2106), _u2107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), _u2108), c_Groups_Ozero__class_Ozero(_u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2108), _u2107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2108), _u2106))) )).
% 12.32/12.55 cnf(matrix-1716, plain, ( ~class_Rings_Olinordered__semidom(_u2109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2109), c_Groups_Oone__class_Oone(_u2109)), c_Groups_Ozero__class_Ozero(_u2109))) )).
% 12.32/12.55 cnf(matrix-1717, plain, ( ~class_Rings_Olinordered__semidom(_u2110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2110), c_Groups_Ozero__class_Ozero(_u2110)), c_Groups_Oone__class_Oone(_u2110))) )).
% 12.32/12.55 cnf(matrix-1718, plain, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2112 = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.55 cnf(matrix-1719, plain, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2113 = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.55 cnf(matrix-1720, plain, ( ~class_Rings_Olinordered__ring__strict(_u2111) | ( _u2112 != c_Groups_Ozero__class_Ozero(_u2111)) | ( _u2113 != c_Groups_Ozero__class_Ozero(_u2111)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2112)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2113), _u2113)) = c_Groups_Ozero__class_Ozero(_u2111)) )).
% 12.32/12.55 cnf(matrix-1721, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2114) | ( _u2115 = c_Groups_Ozero__class_Ozero(_u2114)) | ( _u2116 != _u2117) | ( _u2118 = _u2119) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2114), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2118)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2114), _u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2119))) )).
% 12.32/12.55 cnf(matrix-1722, plain, ( ~class_Rings_Olinordered__semidom(_u2120) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), _u2121), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2120), _u2121), c_Groups_Oone__class_Oone(_u2120)))) )).
% 12.32/12.55 cnf(matrix-1723, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2122)), _u2122) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1724, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2125)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2127)) | ( _u2125 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1725, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2125)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2127)) | ( _u2127 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1726, plain, ( ( _u2126 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2128 != 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), _u2126)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2128)) )).
% 12.32/12.55 cnf(matrix-1727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2129)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2130)))) )).
% 12.32/12.55 cnf(matrix-1728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2131), _u2132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2131)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2132))) )).
% 12.32/12.55 cnf(matrix-1729, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1730, 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)), _u2134)), _u2134) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2139), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2137), _u2139)) | ( _u2137 = _u2139) )).
% 12.32/12.55 cnf(matrix-1732, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2140), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), _u2140)) )).
% 12.32/12.55 cnf(matrix-1733, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2140), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2138 != _u2140) )).
% 12.32/12.55 cnf(matrix-1734, plain, ( ~class_Rings_Oring__1(_u2141) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2141), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u2141)) )).
% 12.32/12.55 cnf(matrix-1735, plain, ( ~class_Int_Oring__char__0(_u2142) | ( c_Groups_Ozero__class_Ozero(_u2142) != hAPP(c_Int_Oring__1__class_Oof__int(_u2142), _u2143)) | ( _u2143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1736, plain, ( ~class_Int_Oring__char__0(_u2142) | ( _u2143 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u2142) = hAPP(c_Int_Oring__1__class_Oof__int(_u2142), _u2143)) )).
% 12.32/12.55 cnf(matrix-1737, plain, ( ~class_Int_Oring__char__0(_u2144) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2144), _u2145) != c_Groups_Ozero__class_Ozero(_u2144)) | ( _u2145 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1738, plain, ( ~class_Int_Oring__char__0(_u2144) | ( _u2145 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2144), _u2145) = c_Groups_Ozero__class_Ozero(_u2144)) )).
% 12.32/12.55 cnf(matrix-1739, plain, ( ~class_Rings_Olinordered__idom(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2147)), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2148))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2147), _u2148)) )).
% 12.32/12.55 cnf(matrix-1740, plain, ( ~class_Rings_Olinordered__idom(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2147)), hAPP(c_Int_Oring__1__class_Oof__int(_u2146), _u2148))) )).
% 12.32/12.55 cnf(matrix-1741, plain, ( ~class_Rings_Oring__1(_u2149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2150), _u2151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2149), hAPP(c_Int_Oring__1__class_Oof__int(_u2149), _u2150)), hAPP(c_Int_Oring__1__class_Oof__int(_u2149), _u2151))) )).
% 12.32/12.55 cnf(matrix-1742, plain, ( ~class_Rings_Oring__1(_u2152) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2153)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2152), _u2153)) )).
% 12.32/12.55 cnf(matrix-1743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2156)), hAPP(c_Int_Onat, _u2158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2158)) )).
% 12.32/12.55 cnf(matrix-1744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2156)), hAPP(c_Int_Onat, _u2158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2156), _u2158)) )).
% 12.32/12.55 cnf(matrix-1745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2157), _u2159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2157)), hAPP(c_Int_Onat, _u2159))) )).
% 12.32/12.55 cnf(matrix-1746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2161)), hAPP(c_Int_Onat, _u2160))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2161), _u2160)) )).
% 12.32/12.55 cnf(matrix-1747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2161), _u2160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2161)), hAPP(c_Int_Onat, _u2160))) )).
% 12.32/12.55 cnf(matrix-1748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), hAPP(c_Int_Onat, _u2166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2164)), _u2166)) )).
% 12.32/12.55 cnf(matrix-1749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2165)), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2165), hAPP(c_Int_Onat, _u2167))) )).
% 12.32/12.55 cnf(matrix-1750, plain, ( ~class_Rings_Olinordered__ring(_u2168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2169), _u2169)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2170), _u2170))), c_Groups_Ozero__class_Ozero(_u2168))) )).
% 12.32/12.55 cnf(matrix-1751, plain, ( ~class_Rings_Olinordered__ring__strict(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2172 != c_Groups_Ozero__class_Ozero(_u2171)) | ( _u2173 != c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.55 cnf(matrix-1752, plain, ( ~class_Rings_Olinordered__ring__strict(_u2171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2172 = c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.55 cnf(matrix-1753, plain, ( ~class_Rings_Olinordered__ring__strict(_u2171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2171), c_Groups_Ozero__class_Ozero(_u2171)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2172), _u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2171), _u2173), _u2173)))) | ( _u2173 = c_Groups_Ozero__class_Ozero(_u2171)) )).
% 12.32/12.55 cnf(matrix-1754, plain, ( ~class_Rings_Olinordered__semidom(_u2174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), c_Groups_Ozero__class_Ozero(_u2174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2174), c_Groups_Oone__class_Oone(_u2174)), c_Groups_Oone__class_Oone(_u2174)))) )).
% 12.32/12.55 cnf(matrix-1755, plain, ( ~class_Rings_Osemiring__1(_u2175) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2175), hAPP(c_Nat_OSuc, _u2176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2175), c_Groups_Oone__class_Oone(_u2175)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2175), _u2176))) )).
% 12.32/12.55 cnf(matrix-1756, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1757, plain, ( ( c_Int_Onat__aux(_u2177, _u2178) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2177)), _u2178)) )).
% 12.32/12.55 cnf(matrix-1758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2180), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2180 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem41(_u2180))))) )).
% 12.32/12.55 cnf(matrix-1759, plain, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 != c_Groups_Ozero__class_Ozero(_u2181)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = c_Groups_Ozero__class_Ozero(_u2181)) )).
% 12.32/12.55 cnf(matrix-1760, plain, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2181), c_Groups_Ozero__class_Ozero(_u2181)), _u2182)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = c_Groups_Oone__class_Oone(_u2181)) )).
% 12.32/12.55 cnf(matrix-1761, plain, ( ~class_Groups_Osgn__if(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2181), c_Groups_Ozero__class_Ozero(_u2181)), _u2182)) | ( c_Groups_Osgn__class_Osgn(_u2181, _u2182) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2181), c_Groups_Oone__class_Oone(_u2181))) )).
% 12.32/12.55 cnf(matrix-1762, plain, ( ~class_Rings_Olinordered__idom(_u2183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2183), _u2184), c_Groups_Ozero__class_Ozero(_u2183))) | ( c_Groups_Osgn__class_Osgn(_u2183, _u2184) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2183), c_Groups_Oone__class_Oone(_u2183))) )).
% 12.32/12.55 cnf(matrix-1763, plain, ( ~class_Rings_Olinordered__idom(_u2185) | ( c_Groups_Osgn__class_Osgn(_u2185, _u2186) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2185), c_Groups_Oone__class_Oone(_u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2186), c_Groups_Ozero__class_Ozero(_u2185))) )).
% 12.32/12.55 cnf(matrix-1764, plain, ( ~class_Rings_Olinordered__idom(_u2185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2186), c_Groups_Ozero__class_Ozero(_u2185))) | ( c_Groups_Osgn__class_Osgn(_u2185, _u2186) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2185), c_Groups_Oone__class_Oone(_u2185))) )).
% 12.32/12.55 cnf(matrix-1765, plain, ( ( _u2188 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2188) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1766, plain, ( ( _u2189 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2189)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2189) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-1767, plain, ( ( _u2189 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2189)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2189) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2190)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2190)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2190))) )).
% 12.32/12.55 cnf(matrix-1769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2191)), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2191), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192))) )).
% 12.32/12.55 cnf(matrix-1770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2191), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2191)), _u2192)) )).
% 12.32/12.55 cnf(matrix-1771, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u2193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), _u2194), _u2195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), _u2196), _u2195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2193), c_Groups_Ozero__class_Ozero(_u2193)), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2193), c_Groups_Ozero__class_Ozero(_u2193)), _u2198)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2193), _u2197), _u2198) != c_Groups_Oone__class_Oone(_u2193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2193), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2197), _u2194)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2198), _u2196))), _u2195)) )).
% 12.32/12.55 cnf(matrix-1772, plain, ( ~class_Rings_Olinordered__idom(_u2199) | ( c_Groups_Osgn__class_Osgn(_u2199, _u2200) != c_Groups_Oone__class_Oone(_u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2199), c_Groups_Ozero__class_Ozero(_u2199)), _u2200)) )).
% 12.32/12.55 cnf(matrix-1773, plain, ( ~class_Rings_Olinordered__idom(_u2199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2199), c_Groups_Ozero__class_Ozero(_u2199)), _u2200)) | ( c_Groups_Osgn__class_Osgn(_u2199, _u2200) = c_Groups_Oone__class_Oone(_u2199)) )).
% 12.32/12.55 cnf(matrix-1774, plain, ( ~class_Orderings_Opreorder(_u2201) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2201), _u2202), _u2202)) )).
% 12.32/12.55 cnf(matrix-1775, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2203)) )).
% 12.32/12.55 cnf(matrix-1776, 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), _u2204))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2205))) )).
% 12.32/12.55 cnf(matrix-1777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2206), _u2207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2208), _u2209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2206), _u2208)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2207), _u2209))) )).
% 12.32/12.55 cnf(matrix-1778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2210), _u2211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2212), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2212), _u2211))) )).
% 12.32/12.55 cnf(matrix-1779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2213), _u2214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2214), _u2215))) )).
% 12.32/12.55 cnf(matrix-1780, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2216), _u2217)), _u2218) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2217), _u2218))) )).
% 12.32/12.55 cnf(matrix-1781, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2221 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1782, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2223 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1783, plain, ( ( _u2222 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2224 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2222), _u2224) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1784, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2226) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2226), _u2225)) )).
% 12.32/12.55 cnf(matrix-1785, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2227), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2227) )).
% 12.32/12.55 cnf(matrix-1786, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2232)) | ( _u2230 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1787, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2232)) | ( _u2232 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1788, plain, ( ( _u2231 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2233 != 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), _u2231), _u2233)) )).
% 12.32/12.55 cnf(matrix-1789, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2234) = _u2234) )).
% 12.32/12.55 cnf(matrix-1790, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2235)))) )).
% 12.32/12.55 cnf(matrix-1791, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2236), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2236), _u2236))) )).
% 12.32/12.55 cnf(matrix-1792, plain, ( ( _u2237 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2237), _u2238)) | ( _u2238 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1793, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2246)) | ~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, _u2242)), _u2244)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2242)), _u2246))) )).
% 12.32/12.55 cnf(matrix-1794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2245), _u2247)) | 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, _u2243)), _u2245)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2243)), _u2247))) )).
% 12.32/12.55 cnf(matrix-1795, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2248), _u2248)) )).
% 12.32/12.55 cnf(matrix-1796, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2249), _u2250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2250), _u2249)) )).
% 12.32/12.55 cnf(matrix-1797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2251), _u2252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2252), _u2253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2251), _u2253)) )).
% 12.32/12.55 cnf(matrix-1798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2254), _u2255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2255), _u2254)) | ( _u2254 = _u2255) )).
% 12.32/12.55 cnf(matrix-1799, plain, ( ~class_Rings_Olinordered__idom(_u2256) | ( c_Groups_Osgn__class_Osgn(_u2256, c_Groups_Osgn__class_Osgn(_u2256, _u2257)) = c_Groups_Osgn__class_Osgn(_u2256, _u2257)) )).
% 12.32/12.55 cnf(matrix-1800, plain, ( ~class_Orderings_Oord(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2261, _u2260)), _u2262), _u2263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(_u2262, _u2258)), hAPP(_u2263, _u2258))) )).
% 12.32/12.55 cnf(matrix-1801, plain, ( ~class_Orderings_Oord(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(_u2262, skolem42(_u2263, _u2262, _u2261, _u2260))), hAPP(_u2263, skolem42(_u2263, _u2262, _u2261, _u2260)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2261, _u2260)), _u2262), _u2263)) )).
% 12.32/12.55 cnf(matrix-1802, plain, ( ~class_Orderings_Olinorder(_u2264) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2266), _u2265)) )).
% 12.32/12.55 cnf(matrix-1803, plain, ( ~class_Orderings_Oorder(_u2267) | ( _u2268 != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2268), _u2269)) )).
% 12.32/12.55 cnf(matrix-1804, plain, ( ~class_Orderings_Oorder(_u2267) | ( _u2268 != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2269), _u2268)) )).
% 12.32/12.55 cnf(matrix-1805, plain, ( ~class_Orderings_Oorder(_u2267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2268), _u2269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2267), _u2269), _u2268)) | ( _u2268 = _u2269) )).
% 12.32/12.55 cnf(matrix-1806, plain, ( ~class_Orderings_Opreorder(_u2270) | ( _u2271 != _u2272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2270), _u2271), _u2272)) )).
% 12.32/12.55 cnf(matrix-1807, plain, ( ~class_Orderings_Oord(_u2273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2274, _u2273)), _u2275), _u2276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2273), hAPP(_u2275, _u2277)), hAPP(_u2276, _u2277))) )).
% 12.32/12.55 cnf(matrix-1808, plain, ( ~class_Orderings_Oorder(_u2278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2280), _u2279)) | ( _u2280 = _u2279) )).
% 12.32/12.55 cnf(matrix-1809, plain, ( ~class_Orderings_Oorder(_u2278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2279), _u2280)) | ( _u2280 != _u2279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2278), _u2280), _u2279)) )).
% 12.32/12.55 cnf(matrix-1810, plain, ( ~class_Orderings_Oord(_u2281) | ( _u2282 != _u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2281), _u2283), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2281), _u2282), _u2284)) )).
% 12.32/12.55 cnf(matrix-1811, plain, ( ~class_Orderings_Oorder(_u2285) | ( _u2286 != _u2287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2285), _u2288), _u2287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2285), _u2288), _u2286)) )).
% 12.32/12.55 cnf(matrix-1812, plain, ( ~class_Orderings_Oord(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2289), _u2290), _u2291)) | ( _u2291 != _u2292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2289), _u2290), _u2292)) )).
% 12.32/12.55 cnf(matrix-1813, plain, ( ~class_Orderings_Oorder(_u2293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2293), _u2294), _u2295)) | ( _u2294 != _u2296) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2293), _u2296), _u2295)) )).
% 12.32/12.55 cnf(matrix-1814, plain, ( ~class_Orderings_Oorder(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2297), _u2298), _u2299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2297), _u2299), _u2298)) | ( _u2298 = _u2299) )).
% 12.32/12.55 cnf(matrix-1815, plain, ( ~class_Orderings_Opreorder(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2301), _u2302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2302), _u2303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2300), _u2301), _u2303)) )).
% 12.32/12.55 cnf(matrix-1816, plain, ( ~class_Orderings_Oorder(_u2304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2304), _u2305), _u2306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2304), _u2306), _u2305)) | ( _u2306 = _u2305) )).
% 12.32/12.55 cnf(matrix-1817, plain, ( ~class_Orderings_Oorder(_u2307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2308), _u2309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2310), _u2308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2307), _u2310), _u2309)) )).
% 12.32/12.55 cnf(matrix-1818, plain, ( ~class_Orderings_Oord(_u2311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2312, _u2311)), _u2313), _u2314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2311), hAPP(_u2313, _u2315)), hAPP(_u2314, _u2315))) )).
% 12.32/12.55 cnf(matrix-1819, plain, ( ~class_Orderings_Olinorder(_u2316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2316), _u2317), _u2318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2316), _u2318), _u2317)) )).
% 12.32/12.55 cnf(matrix-1820, plain, ( ~class_Rings_Olinordered__semidom(_u2319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2319), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2320)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) )).
% 12.32/12.55 cnf(matrix-1821, plain, ( ~class_Rings_Olinordered__semidom(_u2319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2319), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2320)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2319), _u2321))) )).
% 12.32/12.55 cnf(matrix-1822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2324)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2324), _u2326)) )).
% 12.32/12.55 cnf(matrix-1823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2325), _u2327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2325)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2327))) )).
% 12.32/12.55 cnf(matrix-1824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2330)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2330), _u2332)) )).
% 12.32/12.55 cnf(matrix-1825, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2331)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2333))) )).
% 12.32/12.55 cnf(matrix-1826, plain, ( ~class_Rings_Olinordered__idom(_u2334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2334), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2335)), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2335), _u2336)) )).
% 12.32/12.55 cnf(matrix-1827, plain, ( ~class_Rings_Olinordered__idom(_u2334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2335), _u2336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2334), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2335)), hAPP(c_Int_Oring__1__class_Oof__int(_u2334), _u2336))) )).
% 12.32/12.55 cnf(matrix-1828, 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), _u2339), _u2341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2339)) )).
% 12.32/12.55 cnf(matrix-1829, 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), _u2339), _u2341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2341)) )).
% 12.32/12.55 cnf(matrix-1830, 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))), _u2340)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2342)) | 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), _u2340), _u2342))) )).
% 12.32/12.55 cnf(matrix-1831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2346), _u2348)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2346), _u2350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2348), _u2350)) )).
% 12.32/12.55 cnf(matrix-1832, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2347)) )).
% 12.32/12.55 cnf(matrix-1833, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2347), _u2351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2349), _u2351)) )).
% 12.32/12.55 cnf(matrix-1834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2355), _u2357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2359), _u2357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2355), _u2359)) )).
% 12.32/12.55 cnf(matrix-1835, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2360), _u2358))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2358)) )).
% 12.32/12.55 cnf(matrix-1836, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2360), _u2358))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), _u2360)) )).
% 12.32/12.55 cnf(matrix-1837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2361)), hAPP(c_Int_Onat, _u2362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2361), _u2362)) )).
% 12.32/12.55 cnf(matrix-1838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2361), _u2362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2361)), hAPP(c_Int_Onat, _u2362))) )).
% 12.32/12.55 cnf(matrix-1839, plain, ( ~class_Orderings_Oorder(_u2363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2364), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2363), _u2366), _u2364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2363), _u2366), _u2365)) )).
% 12.32/12.55 cnf(matrix-1840, plain, ( ~class_Orderings_Opreorder(_u2367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2367), _u2368), _u2369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), _u2369), _u2370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), _u2368), _u2370)) )).
% 12.32/12.55 cnf(matrix-1841, plain, ( ~class_Orderings_Oorder(_u2371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2371), _u2372), _u2373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), _u2374), _u2372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2371), _u2374), _u2373)) )).
% 12.32/12.55 cnf(matrix-1842, plain, ( ~class_Orderings_Opreorder(_u2375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2375), _u2376), _u2377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2375), _u2377), _u2378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2375), _u2376), _u2378)) )).
% 12.32/12.55 cnf(matrix-1843, plain, ( ~class_Orderings_Oorder(_u2379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2379), _u2380), _u2381)) | ( _u2381 = _u2380) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2379), _u2380), _u2381)) )).
% 12.32/12.55 cnf(matrix-1844, plain, ( ~class_Orderings_Oorder(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), _u2383), _u2384)) | ( _u2383 = _u2384) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), _u2383), _u2384)) )).
% 12.32/12.55 cnf(matrix-1845, plain, ( ~class_Orderings_Oorder(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2385), _u2386), _u2387)) | ( _u2386 = _u2387) )).
% 12.32/12.55 cnf(matrix-1846, plain, ( ~class_Orderings_Olinorder(_u2388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2388), _u2389), _u2390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2388), _u2389), _u2390)) | ( _u2389 = _u2390) )).
% 12.32/12.55 cnf(matrix-1847, plain, ( ~class_Orderings_Olinorder(_u2388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2388), _u2389), _u2390)) | ( _u2389 != _u2390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2388), _u2389), _u2390)) )).
% 12.32/12.55 cnf(matrix-1848, plain, ( ~class_Orderings_Opreorder(_u2391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2391), _u2392), _u2393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2391), _u2392), _u2393)) )).
% 12.32/12.55 cnf(matrix-1849, plain, ( ~class_Orderings_Olinorder(_u2394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), _u2395), _u2396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), _u2396), _u2395)) )).
% 12.32/12.55 cnf(matrix-1850, plain, ( ~class_Orderings_Oorder(_u2397) | ( _u2398 = _u2399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), _u2399), _u2398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2397), _u2399), _u2398)) )).
% 12.32/12.55 cnf(matrix-1851, plain, ( ~class_Orderings_Oorder(_u2400) | ( _u2401 = _u2402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2400), _u2401), _u2402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2400), _u2401), _u2402)) )).
% 12.32/12.55 cnf(matrix-1852, plain, ( ~class_Orderings_Olinorder(_u2403) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2403), _u2404), _u2405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2403), _u2404), _u2405)) | ( _u2404 = _u2405) )).
% 12.32/12.55 cnf(matrix-1853, plain, ( ~class_Orderings_Olinorder(_u2403) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2403), _u2404), _u2405)) | ( _u2404 != _u2405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2403), _u2404), _u2405)) )).
% 12.32/12.55 cnf(matrix-1854, plain, ( ~class_Orderings_Olinorder(_u2406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), _u2407), _u2408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2406), _u2408), _u2407)) )).
% 12.32/12.55 cnf(matrix-1855, plain, ( ~class_Orderings_Olinorder(_u2409) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2410), _u2411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), _u2411), _u2410)) )).
% 12.32/12.55 cnf(matrix-1856, plain, ( ~class_Orderings_Oorder(_u2412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2412), _u2413), _u2414)) | ( _u2413 = _u2414) )).
% 12.32/12.55 cnf(matrix-1857, plain, ( ~class_Orderings_Oorder(_u2412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2412), _u2413), _u2414)) )).
% 12.32/12.55 cnf(matrix-1858, plain, ( ~class_Orderings_Oorder(_u2412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), _u2413), _u2414)) | ( _u2413 != _u2414) )).
% 12.32/12.55 cnf(matrix-1859, plain, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2416), _u2417)) )).
% 12.32/12.55 cnf(matrix-1860, plain, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2417), _u2416)) )).
% 12.32/12.55 cnf(matrix-1861, plain, ( ~class_Orderings_Opreorder(_u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2415), _u2417), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2415), _u2416), _u2417)) )).
% 12.32/12.55 cnf(matrix-1862, plain, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2419), _u2420)) )).
% 12.32/12.55 cnf(matrix-1863, plain, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) | ( _u2419 != _u2420) )).
% 12.32/12.55 cnf(matrix-1864, plain, ( ~class_Orderings_Oorder(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2419), _u2420)) | ( _u2419 = _u2420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2419), _u2420)) )).
% 12.32/12.55 cnf(matrix-1865, plain, ( ~class_Orderings_Olinorder(_u2421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), _u2422), _u2423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2421), _u2423), _u2422)) )).
% 12.32/12.55 cnf(matrix-1866, plain, ( ~class_Orderings_Olinorder(_u2424) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2424), _u2425), _u2426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2424), _u2426), _u2425)) )).
% 12.32/12.55 cnf(matrix-1867, plain, ( ~class_Orderings_Olinorder(_u2424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2424), _u2426), _u2425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2424), _u2425), _u2426)) )).
% 12.32/12.55 cnf(matrix-1868, plain, ( ~class_Orderings_Olinorder(_u2427) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2427), _u2428), _u2429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2427), _u2429), _u2428)) )).
% 12.32/12.55 cnf(matrix-1869, plain, ( ~class_Orderings_Olinorder(_u2427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2427), _u2429), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2427), _u2428), _u2429)) )).
% 12.32/12.55 cnf(matrix-1870, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2432)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2433)) )).
% 12.32/12.55 cnf(matrix-1871, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2434), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2434), _u2435), _u2436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2434), _u2437), _u2436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2434), _u2435), _u2437)) )).
% 12.32/12.55 cnf(matrix-1872, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), _u2439), _u2440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), _u2441), _u2442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2438), _u2439), _u2441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2438), _u2440), _u2442))) )).
% 12.32/12.55 cnf(matrix-1873, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2443), _u2444), _u2445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2443), _u2446), _u2444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2443), _u2446), _u2445))) )).
% 12.32/12.55 cnf(matrix-1874, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2447), _u2448), _u2449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2447), _u2448), _u2450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2447), _u2449), _u2450))) )).
% 12.32/12.55 cnf(matrix-1875, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2453), _u2454)) )).
% 12.32/12.55 cnf(matrix-1876, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2453), _u2454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2451), _u2452), _u2454))) )).
% 12.32/12.55 cnf(matrix-1877, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2456), _u2457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2458), _u2457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), _u2456), _u2458)) )).
% 12.32/12.55 cnf(matrix-1878, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), _u2456), _u2458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2456), _u2457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2455), _u2458), _u2457))) )).
% 12.32/12.55 cnf(matrix-1879, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2459) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1880, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2460), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1881, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2463), _u2465) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1882, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2464), _u2466) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1883, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2464), _u2466) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2466 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1884, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2470), _u2472) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2470), _u2474)) | ( _u2472 = _u2474) | ( _u2470 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1885, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2473) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2475)) | ( _u2473 != _u2475) )).
% 12.32/12.55 cnf(matrix-1886, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2473) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2471), _u2475)) | ( _u2471 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1887, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2479), _u2481) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2483), _u2481)) | ( _u2479 = _u2483) | ( _u2481 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1888, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2480), _u2482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2482)) | ( _u2480 != _u2484) )).
% 12.32/12.55 cnf(matrix-1889, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2480), _u2482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2482)) | ( _u2482 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1890, plain, ( ( _u2490 = _u2492) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2488)), _u2490) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2488)), _u2492)) )).
% 12.32/12.55 cnf(matrix-1891, plain, ( ( _u2491 != _u2493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2489)), _u2491) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2489)), _u2493)) )).
% 12.32/12.55 cnf(matrix-1892, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2494)) )).
% 12.32/12.55 cnf(matrix-1893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2496), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-1894, plain, ( ( _u2497 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2497), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-1895, plain, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2499), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) )).
% 12.32/12.55 cnf(matrix-1896, plain, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2498), _u2499), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2500))) )).
% 12.32/12.55 cnf(matrix-1897, plain, ( ~class_Groups_Oordered__ab__group__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2502)), _u2503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2503)), _u2502)) )).
% 12.32/12.55 cnf(matrix-1898, plain, ( ~class_Groups_Oordered__ab__group__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2503)), _u2502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(c_Groups_Ouminus__class_Ouminus(_u2501), _u2502)), _u2503)) )).
% 12.32/12.55 cnf(matrix-1899, plain, ( ~class_Groups_Oordered__ab__group__add(_u2504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2505)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), _u2506), _u2505)) )).
% 12.32/12.55 cnf(matrix-1900, plain, ( ~class_Groups_Oordered__ab__group__add(_u2504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), _u2506), _u2505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2504), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2505)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2504), _u2506))) )).
% 12.32/12.55 cnf(matrix-1901, plain, ( ~class_Groups_Oordered__ab__group__add(_u2507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2507), _u2508), _u2509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2507), hAPP(c_Groups_Ouminus__class_Ouminus(_u2507), _u2509)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2507), _u2508))) )).
% 12.32/12.55 cnf(matrix-1902, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2511), _u2512)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) )).
% 12.32/12.55 cnf(matrix-1903, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2513), _u2514)), _u2515) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2514), _u2515))) )).
% 12.32/12.55 cnf(matrix-1904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2516)), _u2517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2516), _u2517)) )).
% 12.32/12.55 cnf(matrix-1905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), hAPP(c_Nat_OSuc, _u2519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), _u2519)) | ( _u2518 = hAPP(c_Nat_OSuc, _u2519)) )).
% 12.32/12.55 cnf(matrix-1906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), hAPP(c_Nat_OSuc, _u2521))) )).
% 12.32/12.55 cnf(matrix-1907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2524)), hAPP(c_Nat_OSuc, _u2526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2526)) )).
% 12.32/12.55 cnf(matrix-1908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2525), _u2527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2525)), hAPP(c_Nat_OSuc, _u2527))) )).
% 12.32/12.55 cnf(matrix-1909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2530), hAPP(c_Nat_OSuc, _u2532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2530), _u2532)) | ( _u2530 = hAPP(c_Nat_OSuc, _u2532)) )).
% 12.32/12.55 cnf(matrix-1910, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), hAPP(c_Nat_OSuc, _u2533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), _u2533)) )).
% 12.32/12.55 cnf(matrix-1911, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), hAPP(c_Nat_OSuc, _u2533))) | ( _u2531 != hAPP(c_Nat_OSuc, _u2533)) )).
% 12.32/12.55 cnf(matrix-1912, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2536), _u2538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2538)), _u2536)) )).
% 12.32/12.55 cnf(matrix-1913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2539)), _u2537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2537), _u2539)) )).
% 12.32/12.55 cnf(matrix-1914, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2540)), _u2540)) )).
% 12.32/12.55 cnf(matrix-1915, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2543), _u2545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2543), _u2545)) )).
% 12.32/12.55 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2543), _u2545)) | ( _u2543 != _u2545) )).
% 12.32/12.55 cnf(matrix-1918, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2544), _u2546)) | ( _u2544 = _u2546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2544), _u2546)) )).
% 12.32/12.55 cnf(matrix-1919, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2549), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), _u2551)) | ( _u2549 = _u2551) )).
% 12.32/12.55 cnf(matrix-1920, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2550), _u2552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2550), _u2552)) )).
% 12.32/12.55 cnf(matrix-1921, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2550), _u2552)) | ( _u2550 != _u2552) )).
% 12.32/12.55 cnf(matrix-1922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2553), _u2554)) )).
% 12.32/12.55 cnf(matrix-1923, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2555), _u2556)) | ( _u2555 = _u2556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2555), _u2556)) )).
% 12.32/12.55 cnf(matrix-1924, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2557), _u2558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2557), _u2558)) )).
% 12.32/12.55 cnf(matrix-1925, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2557), _u2558)) | ( _u2557 != _u2558) )).
% 12.32/12.55 cnf(matrix-1926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2559), _u2560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2560)) )).
% 12.32/12.55 cnf(matrix-1927, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2562), _u2561))) )).
% 12.32/12.55 cnf(matrix-1928, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2563), _u2564))) )).
% 12.32/12.55 cnf(matrix-1929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2569), _u2571)) | ( _u2571 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2569), skolem43(_u2571, _u2569))) )).
% 12.32/12.55 cnf(matrix-1930, plain, ( ( _u2572 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2570), _u2566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2570), _u2572)) )).
% 12.32/12.55 cnf(matrix-1931, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2578), _u2580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2576), _u2578)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2576), _u2580))) )).
% 12.32/12.55 cnf(matrix-1932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2579), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2577), _u2579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2577), _u2581))) )).
% 12.32/12.55 cnf(matrix-1933, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2582), _u2583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2583), _u2584))) )).
% 12.32/12.55 cnf(matrix-1934, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2587), _u2586))) )).
% 12.32/12.55 cnf(matrix-1935, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2588), _u2589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2588), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2589), _u2590))) )).
% 12.32/12.55 cnf(matrix-1936, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2591), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), _u2594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2591), _u2593)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2592), _u2594))) )).
% 12.32/12.55 cnf(matrix-1937, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2596), _u2597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2595), _u2596)), _u2597)) )).
% 12.32/12.55 cnf(matrix-1938, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2598), _u2599)), _u2600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2598), _u2600)) )).
% 12.32/12.55 cnf(matrix-1939, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2601), _u2603)) )).
% 12.32/12.55 cnf(matrix-1940, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) )).
% 12.32/12.55 cnf(matrix-1941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2606), _u2605))) )).
% 12.32/12.55 cnf(matrix-1942, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2607), _u2608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2608), _u2609))) )).
% 12.32/12.55 cnf(matrix-1943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2612), _u2614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2612), _u2614)) )).
% 12.32/12.55 cnf(matrix-1944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2612), _u2614)) | ( _u2612 != _u2614) )).
% 12.32/12.55 cnf(matrix-1945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2613), _u2615)) | ( _u2613 = _u2615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2613), _u2615)) )).
% 12.32/12.55 cnf(matrix-1946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2616), _u2617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2618), _u2616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2618), _u2617))) )).
% 12.32/12.55 cnf(matrix-1947, plain, ( ~c_Natural_Oevaln(_u2619, _u2620, _u2621, _u2622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2621), _u2623)) | c_Natural_Oevaln(_u2619, _u2620, _u2623, _u2622) )).
% 12.32/12.55 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) )).
% 12.32/12.55 cnf(matrix-1949, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) )).
% 12.32/12.55 cnf(matrix-1950, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) )).
% 12.32/12.55 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2624), _u2625)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2624)), hAPP(c_Int_Onat, _u2625))) )).
% 12.32/12.55 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2626)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2626), _u2627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2626)), hAPP(c_Int_Onat, _u2627))) )).
% 12.32/12.55 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2629)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2628)), hAPP(c_Int_Onat, _u2629)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2628), _u2629))) )).
% 12.32/12.55 cnf(matrix-1954, plain, ( ~class_Rings_Olinordered__idom(_u2630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2630), hAPP(c_Int_Oring__1__class_Oof__int(_u2630), _u2631)), c_Groups_Ozero__class_Ozero(_u2630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2631), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-1955, plain, ( ~class_Rings_Olinordered__idom(_u2630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2631), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2630), hAPP(c_Int_Oring__1__class_Oof__int(_u2630), _u2631)), c_Groups_Ozero__class_Ozero(_u2630))) )).
% 12.32/12.55 cnf(matrix-1956, plain, ( ~class_Rings_Olinordered__idom(_u2632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2632), c_Groups_Ozero__class_Ozero(_u2632)), hAPP(c_Int_Oring__1__class_Oof__int(_u2632), _u2633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2633)) )).
% 12.32/12.55 cnf(matrix-1957, plain, ( ~class_Rings_Olinordered__idom(_u2632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2632), c_Groups_Ozero__class_Ozero(_u2632)), hAPP(c_Int_Oring__1__class_Oof__int(_u2632), _u2633))) )).
% 12.32/12.55 cnf(matrix-1958, plain, ( ~class_Rings_Olinordered__idom(_u2634) | ( c_Groups_Osgn__class_Osgn(_u2634, _u2635) != c_Groups_Ozero__class_Ozero(_u2634)) | ( _u2635 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 12.32/12.55 cnf(matrix-1959, plain, ( ~class_Rings_Olinordered__idom(_u2634) | ( _u2635 != c_Groups_Ozero__class_Ozero(_u2634)) | ( c_Groups_Osgn__class_Osgn(_u2634, _u2635) = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 12.32/12.55 cnf(matrix-1960, plain, ( ~class_Groups_Osgn__if(_u2636) | ( c_Groups_Osgn__class_Osgn(_u2636, c_Groups_Ozero__class_Ozero(_u2636)) = c_Groups_Ozero__class_Ozero(_u2636)) )).
% 12.32/12.55 cnf(matrix-1961, plain, ( ~class_Rings_Olinordered__idom(_u2637) | ( c_Groups_Osgn__class_Osgn(_u2637, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2637), _u2638), _u2639)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2637), c_Groups_Osgn__class_Osgn(_u2637, _u2638)), c_Groups_Osgn__class_Osgn(_u2637, _u2639))) )).
% 12.32/12.55 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2640), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2640), _u2641)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2640))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2641)))) )).
% 12.32/12.55 cnf(matrix-1963, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2642), _u2643), _u2643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), _u2643)) )).
% 12.32/12.55 cnf(matrix-1964, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), _u2643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), c_Groups_Ozero__class_Ozero(_u2642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2642), _u2643), _u2643))) )).
% 12.32/12.55 cnf(matrix-1965, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2644), _u2645), _u2645)), c_Groups_Ozero__class_Ozero(_u2644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), _u2645), c_Groups_Ozero__class_Ozero(_u2644))) )).
% 12.32/12.55 cnf(matrix-1966, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), _u2645), c_Groups_Ozero__class_Ozero(_u2644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2644), _u2645), _u2645)), c_Groups_Ozero__class_Ozero(_u2644))) )).
% 12.32/12.55 cnf(matrix-1967, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), _u2647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2646), c_Groups_Ozero__class_Ozero(_u2646)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2646), _u2647), _u2648))) )).
% 12.32/12.55 cnf(matrix-1968, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2650 = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.55 cnf(matrix-1969, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2651 = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.55 cnf(matrix-1970, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), c_Groups_Ozero__class_Ozero(_u2649)), _u2651)) | ( _u2650 != c_Groups_Ozero__class_Ozero(_u2649)) | ( _u2651 != c_Groups_Ozero__class_Ozero(_u2649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2649), _u2650), _u2651) = c_Groups_Ozero__class_Ozero(_u2649)) )).
% 12.32/12.55 cnf(matrix-1971, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), c_Groups_Ozero__class_Ozero(_u2652)), _u2653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), _u2654), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2652), _u2654), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2652), _u2653), _u2655))) )).
% 12.32/12.55 cnf(matrix-1972, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), c_Groups_Ozero__class_Ozero(_u2656)), _u2657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), _u2658), _u2659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2656), _u2658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2656), _u2659), _u2657))) )).
% 12.32/12.55 cnf(matrix-1973, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2661), c_Groups_Ozero__class_Ozero(_u2660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2662), c_Groups_Ozero__class_Ozero(_u2660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2660), _u2661), _u2662)), c_Groups_Ozero__class_Ozero(_u2660))) )).
% 12.32/12.55 cnf(matrix-1974, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2663), _u2664), _u2665)), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), c_Groups_Ozero__class_Ozero(_u2663)), _u2664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2665), c_Groups_Ozero__class_Ozero(_u2663))) )).
% 12.32/12.55 cnf(matrix-1975, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2663), _u2664), _u2665)), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), c_Groups_Ozero__class_Ozero(_u2663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), c_Groups_Ozero__class_Ozero(_u2663)), _u2665)) )).
% 12.32/12.55 cnf(matrix-1976, plain, ( ~class_Rings_Oordered__ring(_u2666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2666), _u2667), _u2668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), _u2667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), _u2668)) )).
% 12.32/12.55 cnf(matrix-1977, plain, ( ~class_Rings_Oordered__ring(_u2666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), c_Groups_Ozero__class_Ozero(_u2666)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2666), _u2667), _u2668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), _u2667), c_Groups_Ozero__class_Ozero(_u2666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2666), _u2668), c_Groups_Ozero__class_Ozero(_u2666))) )).
% 12.32/12.55 cnf(matrix-1978, plain, ( ~class_Rings_Oordered__semiring(_u2669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), _u2670), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), _u2672), _u2673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), c_Groups_Ozero__class_Ozero(_u2669)), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), c_Groups_Ozero__class_Ozero(_u2669)), _u2672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2669), _u2670), _u2672)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2669), _u2671), _u2673))) )).
% 12.32/12.55 cnf(matrix-1979, plain, ( ~class_Rings_Oordered__semiring(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), _u2675), _u2676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), _u2677), _u2678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), c_Groups_Ozero__class_Ozero(_u2674)), _u2675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), c_Groups_Ozero__class_Ozero(_u2674)), _u2677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2674), _u2675), _u2677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2674), _u2676), _u2678))) )).
% 12.32/12.55 cnf(matrix-1980, plain, ( ~class_Rings_Oordered__ring(_u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), _u2680), _u2681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), _u2682), c_Groups_Ozero__class_Ozero(_u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2679), _u2682), _u2681)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2679), _u2682), _u2680))) )).
% 12.32/12.55 cnf(matrix-1981, plain, ( ~class_Rings_Oordered__ring(_u2683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), _u2684), _u2685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), _u2686), c_Groups_Ozero__class_Ozero(_u2683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2683), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2683), _u2685), _u2686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2683), _u2684), _u2686))) )).
% 12.32/12.55 cnf(matrix-1982, plain, ( ~class_Rings_Oordered__comm__semiring(_u2687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), _u2688), _u2689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), c_Groups_Ozero__class_Ozero(_u2687)), _u2690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2687), _u2690), _u2688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2687), _u2690), _u2689))) )).
% 12.32/12.55 cnf(matrix-1983, plain, ( ~class_Rings_Oordered__semiring(_u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), _u2692), _u2693)) | ~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__eq(_u2691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2694), _u2692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2694), _u2693))) )).
% 12.32/12.55 cnf(matrix-1984, plain, ( ~class_Rings_Oordered__semiring(_u2695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), _u2696), _u2697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), c_Groups_Ozero__class_Ozero(_u2695)), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2695), _u2696), _u2698)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2695), _u2697), _u2698))) )).
% 12.32/12.55 cnf(matrix-1985, plain, ( ~class_Rings_Oordered__ring(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), _u2700), c_Groups_Ozero__class_Ozero(_u2699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), _u2701), c_Groups_Ozero__class_Ozero(_u2699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), c_Groups_Ozero__class_Ozero(_u2699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2699), _u2700), _u2701))) )).
% 12.32/12.55 cnf(matrix-1986, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), _u2703), c_Groups_Ozero__class_Ozero(_u2702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), c_Groups_Ozero__class_Ozero(_u2702)), _u2704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2702), _u2703), _u2704)), c_Groups_Ozero__class_Ozero(_u2702))) )).
% 12.32/12.55 cnf(matrix-1987, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), c_Groups_Ozero__class_Ozero(_u2705)), _u2706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), _u2707), c_Groups_Ozero__class_Ozero(_u2705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2705), _u2707), _u2706)), c_Groups_Ozero__class_Ozero(_u2705))) )).
% 12.32/12.55 cnf(matrix-1988, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), c_Groups_Ozero__class_Ozero(_u2708)), _u2709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), _u2710), c_Groups_Ozero__class_Ozero(_u2708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), _u2710)), c_Groups_Ozero__class_Ozero(_u2708))) )).
% 12.32/12.55 cnf(matrix-1989, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), _u2712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), _u2713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), c_Groups_Ozero__class_Ozero(_u2711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2711), _u2712), _u2713))) )).
% 12.32/12.55 cnf(matrix-1990, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | 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__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.55 cnf(matrix-1991, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | 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__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.55 cnf(matrix-1992, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.55 cnf(matrix-1993, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.55 cnf(matrix-1994, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | ~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__eq(_u2714), _u2716), c_Groups_Ozero__class_Ozero(_u2714))) )).
% 12.32/12.55 cnf(matrix-1995, plain, ( ~class_Rings_Olinordered__ring__strict(_u2714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), c_Groups_Ozero__class_Ozero(_u2714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), _u2715), c_Groups_Ozero__class_Ozero(_u2714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2716)) )).
% 12.32/12.55 cnf(matrix-1996, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.55 cnf(matrix-1997, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.55 cnf(matrix-1998, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.55 cnf(matrix-1999, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.55 cnf(matrix-2000, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), _u2719)) )).
% 12.32/12.55 cnf(matrix-2001, plain, ( ~class_Rings_Olinordered__ring__strict(_u2717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), c_Groups_Ozero__class_Ozero(_u2717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2717), _u2718), _u2719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2718), c_Groups_Ozero__class_Ozero(_u2717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2717), _u2719), c_Groups_Ozero__class_Ozero(_u2717))) )).
% 12.32/12.55 cnf(matrix-2002, plain, ( ~class_Rings_Olinordered__ring(_u2720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2720), c_Groups_Ozero__class_Ozero(_u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2720), _u2721), _u2721))) )).
% 12.32/12.55 cnf(matrix-2003, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), _u2723), _u2724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), _u2725), _u2726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2722), _u2723), _u2725)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2722), _u2724), _u2726))) )).
% 12.32/12.55 cnf(matrix-2004, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2728), _u2729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2727), _u2730), _u2731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2728), _u2730)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2729), _u2731))) )).
% 12.32/12.55 cnf(matrix-2005, plain, ( ~class_Rings_Olinordered__semidom(_u2732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2732), c_Groups_Ozero__class_Ozero(_u2732)), c_Groups_Oone__class_Oone(_u2732))) )).
% 12.32/12.55 cnf(matrix-2006, plain, ( ~class_Rings_Olinordered__semidom(_u2733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Oone__class_Oone(_u2733)), c_Groups_Ozero__class_Ozero(_u2733))) )).
% 12.32/12.55 cnf(matrix-2007, plain, ( ~class_Groups_Oordered__ab__group__add(_u2734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), c_Groups_Ozero__class_Ozero(_u2734)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2734), _u2735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), _u2735), c_Groups_Ozero__class_Ozero(_u2734))) )).
% 12.32/12.55 cnf(matrix-2008, plain, ( ~class_Groups_Oordered__ab__group__add(_u2734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), _u2735), c_Groups_Ozero__class_Ozero(_u2734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2734), c_Groups_Ozero__class_Ozero(_u2734)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2734), _u2735))) )).
% 12.32/12.55 cnf(matrix-2009, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), hAPP(c_Groups_Ouminus__class_Ouminus(_u2736), _u2737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), c_Groups_Ozero__class_Ozero(_u2736))) )).
% 12.32/12.55 cnf(matrix-2010, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), c_Groups_Ozero__class_Ozero(_u2736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), hAPP(c_Groups_Ouminus__class_Ouminus(_u2736), _u2737))) )).
% 12.32/12.55 cnf(matrix-2011, plain, ( ~class_Groups_Oordered__ab__group__add(_u2738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), hAPP(c_Groups_Ouminus__class_Ouminus(_u2738), _u2739)), c_Groups_Ozero__class_Ozero(_u2738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), c_Groups_Ozero__class_Ozero(_u2738)), _u2739)) )).
% 12.32/12.55 cnf(matrix-2012, plain, ( ~class_Groups_Oordered__ab__group__add(_u2738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), c_Groups_Ozero__class_Ozero(_u2738)), _u2739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2738), hAPP(c_Groups_Ouminus__class_Ouminus(_u2738), _u2739)), c_Groups_Ozero__class_Ozero(_u2738))) )).
% 12.32/12.55 cnf(matrix-2013, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), hAPP(c_Groups_Ouminus__class_Ouminus(_u2740), _u2741)), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), c_Groups_Ozero__class_Ozero(_u2740)), _u2741)) )).
% 12.32/12.55 cnf(matrix-2014, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), c_Groups_Ozero__class_Ozero(_u2740)), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2740), hAPP(c_Groups_Ouminus__class_Ouminus(_u2740), _u2741)), _u2741)) )).
% 12.32/12.55 cnf(matrix-2015, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2744), _u2746) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2744 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2016, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2744), _u2746) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2746 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2017, plain, ( ( _u2745 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2747 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2745), _u2747) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2018, plain, ( ~class_Rings_Olinordered__semidom(_u2748) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2748), c_Groups_Ozero__class_Ozero(_u2748)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2748), _u2749))) )).
% 12.32/12.55 cnf(matrix-2019, plain, ( ~class_Rings_Olinordered__semidom(_u2750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), c_Groups_Ozero__class_Ozero(_u2750)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2750), _u2751))) )).
% 12.32/12.55 cnf(matrix-2020, 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), _u2754), _u2756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2754)) )).
% 12.32/12.55 cnf(matrix-2021, 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), _u2754), _u2756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2756)) )).
% 12.32/12.55 cnf(matrix-2022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2757)) | 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), _u2755), _u2757))) )).
% 12.32/12.55 cnf(matrix-2023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2761)) )).
% 12.32/12.55 cnf(matrix-2024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2763), _u2765)) )).
% 12.32/12.55 cnf(matrix-2025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2764), _u2766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2766))) )).
% 12.32/12.55 cnf(matrix-2026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2770), _u2772)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2774), _u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2772)) )).
% 12.32/12.55 cnf(matrix-2027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2770), _u2772)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2774), _u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2770), _u2774)) )).
% 12.32/12.55 cnf(matrix-2028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2771), _u2775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2775), _u2773))) )).
% 12.32/12.55 cnf(matrix-2029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778))) )).
% 12.32/12.55 cnf(matrix-2030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2779), _u2780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2779)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2780))) )).
% 12.32/12.55 cnf(matrix-2031, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2787), _u2789)) | ~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, _u2785)), _u2787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2785)), _u2789))) )).
% 12.32/12.55 cnf(matrix-2032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2788), _u2790)) | 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, _u2786)), _u2788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2786)), _u2790))) )).
% 12.32/12.55 cnf(matrix-2033, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), hAPP(c_Nat_OSuc, _u2792)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), _u2792))) )).
% 12.32/12.55 cnf(matrix-2034, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2793)), _u2794) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2793), _u2794))) )).
% 12.32/12.55 cnf(matrix-2035, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2797), _u2799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2797)), _u2799)) )).
% 12.32/12.55 cnf(matrix-2037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2798)), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2798), _u2800)) )).
% 12.32/12.55 cnf(matrix-2038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2803), hAPP(c_Nat_OSuc, _u2805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2803), _u2805)) )).
% 12.32/12.55 cnf(matrix-2039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2804), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2804), hAPP(c_Nat_OSuc, _u2806))) )).
% 12.32/12.55 cnf(matrix-2040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2809)), _u2811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2809), _u2811)) )).
% 12.32/12.55 cnf(matrix-2041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2810), _u2812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2810)), _u2812)) )).
% 12.32/12.55 cnf(matrix-2042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2813), _u2814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2813), hAPP(c_Nat_OSuc, _u2814))) )).
% 12.32/12.55 cnf(matrix-2043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2815), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2815)), _u2816)) )).
% 12.32/12.55 cnf(matrix-2044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2817), _u2818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2818), hAPP(c_Nat_OSuc, _u2817))) | ( _u2818 = _u2817) )).
% 12.32/12.55 cnf(matrix-2045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2817), _u2818)) | ( _u2818 != _u2817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2818), hAPP(c_Nat_OSuc, _u2817))) )).
% 12.32/12.55 cnf(matrix-2046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2819)), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2819), _u2820)) )).
% 12.32/12.55 cnf(matrix-2047, plain, ( ( hAPP(c_Nat_OSuc, _u2821) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2821)) )).
% 12.32/12.55 cnf(matrix-2048, plain, ( ( hAPP(c_Nat_OSuc, _u2822) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2822), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2824)) | 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), _u2823), _u2824))) )).
% 12.32/12.55 cnf(matrix-2050, 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), _u2825))) )).
% 12.32/12.55 cnf(matrix-2051, 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), _u2826))) )).
% 12.32/12.55 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2827)) | ~hBOOL(hAPP(_u2832, _u2827)) | hBOOL(hAPP(_u2832, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem44(_u2832)))) )).
% 12.32/12.55 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(_u2833, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem45(_u2833))) )).
% 12.32/12.55 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(_u2833, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2829))) | hBOOL(hAPP(_u2833, skolem45(_u2833))) )).
% 12.32/12.55 cnf(matrix-2055, plain, ( hBOOL(hAPP(_u2839, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2839))) )).
% 12.32/12.55 cnf(matrix-2056, plain, ( hBOOL(hAPP(_u2839, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2835))) | ~hBOOL(hAPP(_u2839, skolem46(_u2839))) )).
% 12.32/12.55 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(_u2840, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem47(_u2840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2837)) | hBOOL(hAPP(_u2840, _u2837)) )).
% 12.32/12.55 cnf(matrix-2058, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(_u2846, _u2841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem48(_u2846))) )).
% 12.32/12.55 cnf(matrix-2060, plain, ( ~hBOOL(hAPP(_u2846, _u2841)) | hBOOL(hAPP(_u2846, hAPP(c_Int_Onat, skolem48(_u2846)))) )).
% 12.32/12.55 cnf(matrix-2061, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2843)) | ~hBOOL(hAPP(_u2847, hAPP(c_Int_Onat, _u2843))) | hBOOL(hAPP(_u2847, skolem49(_u2847))) )).
% 12.32/12.55 cnf(matrix-2062, plain, ( ~hBOOL(hAPP(_u2853, skolem50(_u2853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2849)) | hBOOL(hAPP(_u2853, hAPP(c_Int_Onat, _u2849))) )).
% 12.32/12.55 cnf(matrix-2063, plain, ( hBOOL(hAPP(_u2854, _u2851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem51(_u2854))) )).
% 12.32/12.55 cnf(matrix-2064, plain, ( hBOOL(hAPP(_u2854, _u2851)) | ~hBOOL(hAPP(_u2854, hAPP(c_Int_Onat, skolem51(_u2854)))) )).
% 12.32/12.55 cnf(matrix-2065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ( hAPP(c_Int_Onat, _u2855) != hAPP(c_Int_Onat, _u2856)) | ( _u2855 = _u2856) )).
% 12.32/12.55 cnf(matrix-2066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ( _u2855 != _u2856) | ( hAPP(c_Int_Onat, _u2855) = hAPP(c_Int_Onat, _u2856)) )).
% 12.32/12.55 cnf(matrix-2067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ( hAPP(c_Int_Onat, _u2857) != hAPP(c_Int_Onat, _u2858)) | ( _u2857 = _u2858) )).
% 12.32/12.55 cnf(matrix-2068, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ( _u2857 != _u2858) | ( hAPP(c_Int_Onat, _u2857) = hAPP(c_Int_Onat, _u2858)) )).
% 12.32/12.55 cnf(matrix-2069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2859), _u2860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2861), _u2862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2859), _u2861)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2860), _u2862))) )).
% 12.32/12.55 cnf(matrix-2070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2864)) | 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), _u2863), _u2864))) )).
% 12.32/12.55 cnf(matrix-2071, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2865)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2866)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2865), _u2866))) )).
% 12.32/12.55 cnf(matrix-2072, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2867), _u2868)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2867)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2868))) )).
% 12.32/12.55 cnf(matrix-2073, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2869)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2870)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2869), _u2870))) )).
% 12.32/12.55 cnf(matrix-2074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2875), _u2877)) | ( _u2877 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2875), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem52(_u2877, _u2875)))) )).
% 12.32/12.55 cnf(matrix-2075, plain, ( ( _u2878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2876), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2876), _u2878)) )).
% 12.32/12.55 cnf(matrix-2076, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2077, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2078, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2079, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), _u2880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2879), c_Groups_Ozero__class_Ozero(_u2879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2879), _u2880), _u2881))) )).
% 12.32/12.55 cnf(matrix-2080, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), _u2883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), _u2884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2882), c_Groups_Ozero__class_Ozero(_u2882)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2882), _u2883), _u2884))) )).
% 12.32/12.55 cnf(matrix-2081, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), c_Groups_Ozero__class_Ozero(_u2885)), _u2886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2885), _u2887), _u2888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), _u2887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2885), _u2886), _u2888))) )).
% 12.32/12.55 cnf(matrix-2082, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2889), c_Groups_Ozero__class_Ozero(_u2889)), _u2890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2889), _u2891), _u2892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2889), _u2891), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2889), _u2890), _u2892))) )).
% 12.32/12.55 cnf(matrix-2083, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2893), _u2894), c_Groups_Ozero__class_Ozero(_u2893))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2893), _u2895), c_Groups_Ozero__class_Ozero(_u2893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2893), _u2894), _u2895)), c_Groups_Ozero__class_Ozero(_u2893))) )).
% 12.32/12.55 cnf(matrix-2084, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2896), _u2897), c_Groups_Ozero__class_Ozero(_u2896))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2896), _u2898), c_Groups_Ozero__class_Ozero(_u2896))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2896), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2896), _u2897), _u2898)), c_Groups_Ozero__class_Ozero(_u2896))) )).
% 12.32/12.55 cnf(matrix-2085, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2899), _u2900), _u2901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2899), _u2900), _u2902))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2899), c_Groups_Ozero__class_Ozero(_u2899)), _u2900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2899), _u2901), _u2902)) )).
% 12.32/12.55 cnf(matrix-2086, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2903), _u2904), _u2905)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2903), _u2906), _u2905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2903), c_Groups_Ozero__class_Ozero(_u2903)), _u2905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), _u2904), _u2906)) )).
% 12.32/12.55 cnf(matrix-2087, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2907), _u2908), _u2909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2907), _u2908), _u2910))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2907), c_Groups_Ozero__class_Ozero(_u2907)), _u2908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2907), _u2909), _u2910)) )).
% 12.32/12.55 cnf(matrix-2088, plain, ( ~class_Rings_Olinordered__semiring(_u2911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2912), _u2913)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2912), _u2914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2911), c_Groups_Ozero__class_Ozero(_u2911)), _u2912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2911), _u2913), _u2914)) )).
% 12.32/12.55 cnf(matrix-2089, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2915), _u2916), _u2917)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2915), _u2918), _u2917))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2915), c_Groups_Ozero__class_Ozero(_u2915)), _u2917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2915), _u2916), _u2918)) )).
% 12.32/12.55 cnf(matrix-2090, plain, ( ~class_Rings_Olinordered__semiring(_u2919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2919), _u2920), _u2921)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2919), _u2922), _u2921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2919), c_Groups_Ozero__class_Ozero(_u2919)), _u2921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2919), _u2920), _u2922)) )).
% 12.32/12.55 cnf(matrix-2091, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2923), _u2924), _u2925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), _u2926), _u2927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), c_Groups_Ozero__class_Ozero(_u2923)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2923), c_Groups_Ozero__class_Ozero(_u2923)), _u2926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), _u2924), _u2926)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), _u2925), _u2927))) )).
% 12.32/12.55 cnf(matrix-2092, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), _u2929), _u2930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2928), _u2931), _u2932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2928), c_Groups_Ozero__class_Ozero(_u2928)), _u2929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), c_Groups_Ozero__class_Ozero(_u2928)), _u2931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2929), _u2931)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2930), _u2932))) )).
% 12.32/12.55 cnf(matrix-2093, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), _u2934), _u2935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), _u2936), _u2937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2933), c_Groups_Ozero__class_Ozero(_u2933)), _u2934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2933), c_Groups_Ozero__class_Ozero(_u2933)), _u2936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2933), _u2934), _u2936)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2933), _u2935), _u2937))) )).
% 12.32/12.55 cnf(matrix-2094, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2939), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2941), _u2942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), c_Groups_Ozero__class_Ozero(_u2938)), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), c_Groups_Ozero__class_Ozero(_u2938)), _u2941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2938), _u2939), _u2941)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2938), _u2940), _u2942))) )).
% 12.32/12.55 cnf(matrix-2095, plain, ( ~class_Rings_Olinordered__ring__strict(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2943), _u2944), c_Groups_Ozero__class_Ozero(_u2943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2946), _u2945)) )).
% 12.32/12.55 cnf(matrix-2096, plain, ( ~class_Rings_Olinordered__ring__strict(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2943), _u2944), c_Groups_Ozero__class_Ozero(_u2943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2946), _u2945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2946))) )).
% 12.32/12.55 cnf(matrix-2097, plain, ( ~class_Rings_Olinordered__ring__strict(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), c_Groups_Ozero__class_Ozero(_u2947)), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2950))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), _u2949), _u2950)) )).
% 12.32/12.55 cnf(matrix-2098, plain, ( ~class_Rings_Olinordered__ring__strict(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), c_Groups_Ozero__class_Ozero(_u2947)), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), _u2949), _u2950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2950))) )).
% 12.32/12.55 cnf(matrix-2099, plain, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) | ( _u2952 = c_Groups_Ozero__class_Ozero(_u2951)) )).
% 12.32/12.55 cnf(matrix-2100, plain, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) | ( _u2953 = c_Groups_Ozero__class_Ozero(_u2951)) )).
% 12.32/12.55 cnf(matrix-2101, plain, ( ~class_Rings_Olinordered__ring__strict(_u2951) | ( _u2952 != c_Groups_Ozero__class_Ozero(_u2951)) | ( _u2953 != c_Groups_Ozero__class_Ozero(_u2951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2953), _u2953))), c_Groups_Ozero__class_Ozero(_u2951))) )).
% 12.32/12.55 cnf(matrix-2102, plain, ( ~class_Rings_Olinordered__ring(_u2954) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2954), c_Groups_Ozero__class_Ozero(_u2954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2954), _u2955), _u2955)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2954), _u2956), _u2956)))) )).
% 12.32/12.55 cnf(matrix-2103, plain, ( ~class_Rings_Olinordered__idom(_u2957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), c_Groups_Ozero__class_Ozero(_u2957)), _u2958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), c_Groups_Ozero__class_Ozero(_u2957)), _u2959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), _u2959), c_Groups_Oone__class_Oone(_u2957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2957), _u2959), _u2958)), _u2958)) )).
% 12.32/12.55 cnf(matrix-2104, plain, ( ~class_Rings_Olinordered__idom(_u2960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), _u2962), c_Groups_Oone__class_Oone(_u2960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), _u2961), _u2962)), _u2961)) )).
% 12.32/12.55 cnf(matrix-2105, plain, ( ~class_Rings_Olinordered__idom(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Osgn__class_Osgn(_u2963, _u2964)), c_Groups_Ozero__class_Ozero(_u2963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), _u2964), c_Groups_Ozero__class_Ozero(_u2963))) )).
% 12.32/12.55 cnf(matrix-2106, plain, ( ~class_Rings_Olinordered__idom(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), _u2964), c_Groups_Ozero__class_Ozero(_u2963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Osgn__class_Osgn(_u2963, _u2964)), c_Groups_Ozero__class_Ozero(_u2963))) )).
% 12.32/12.55 cnf(matrix-2107, plain, ( ~class_Rings_Olinordered__idom(_u2965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), c_Groups_Osgn__class_Osgn(_u2965, _u2966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), _u2966)) )).
% 12.32/12.55 cnf(matrix-2108, plain, ( ~class_Rings_Olinordered__idom(_u2965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), _u2966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2965), c_Groups_Ozero__class_Ozero(_u2965)), c_Groups_Osgn__class_Osgn(_u2965, _u2966))) )).
% 12.32/12.55 cnf(matrix-2109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2968)) | 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), _u2968), _u2967))) )).
% 12.32/12.55 cnf(matrix-2110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2969), _u2970))) )).
% 12.32/12.55 cnf(matrix-2111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2971), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2972), _u2971))) )).
% 12.32/12.55 cnf(matrix-2112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2974 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2113, plain, ( ( _u2975 != 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), _u2975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2976), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2976) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2115, plain, ( ( hAPP(c_Int_Onat, _u2978) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2978), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2979), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2979) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2981)) )).
% 12.32/12.55 cnf(matrix-2118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2982)) )).
% 12.32/12.55 cnf(matrix-2119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2984)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2984)) = _u2984) )).
% 12.32/12.55 cnf(matrix-2120, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2985)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2985)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2121, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2988) != _u2990) | ( _u2988 = hAPP(c_Int_Onat, _u2990)) )).
% 12.32/12.55 cnf(matrix-2122, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2988) != _u2990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2990)) )).
% 12.32/12.55 cnf(matrix-2123, plain, ( ( _u2989 != hAPP(c_Int_Onat, _u2991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2991)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2989) = _u2991) )).
% 12.32/12.55 cnf(matrix-2124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2992)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2992)) = _u2992) )).
% 12.32/12.55 cnf(matrix-2125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2993), _u2994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2993), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2994)) )).
% 12.32/12.55 cnf(matrix-2126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2997), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2997), _u2999)) )).
% 12.32/12.55 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2998), _u3000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2998), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3000)) )).
% 12.32/12.55 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3005), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3003), _u3005)) )).
% 12.32/12.55 cnf(matrix-2129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3004), _u3006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3006), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.55 cnf(matrix-2130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3009)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3011)))) | ( _u3009 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3009)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3011)))) | ( _u3011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2132, plain, ( ( _u3010 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3012 != 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), _u3010)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3012)))) )).
% 12.32/12.55 cnf(matrix-2133, 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), _u3013))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2134, plain, ( ~class_Rings_Olinordered__semiring__1(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3015), _u3016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3017), _u3016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3019)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3014), _u3018), _u3019) != c_Groups_Oone__class_Oone(_u3014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3018), _u3015)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3019), _u3017))), _u3016)) )).
% 12.32/12.55 cnf(matrix-2135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3020)), hAPP(c_Int_Onat, _u3021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3020), _u3021)) )).
% 12.32/12.55 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3020), _u3021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3020)), hAPP(c_Int_Onat, _u3021))) )).
% 12.32/12.55 cnf(matrix-2137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3022)), hAPP(c_Int_Onat, _u3023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3022), _u3023)) )).
% 12.32/12.55 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3022), _u3023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3022)), hAPP(c_Int_Onat, _u3023))) )).
% 12.32/12.55 cnf(matrix-2139, plain, ( ( _u3026 != hAPP(c_Int_Onat, _u3028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3028)) | ( _u3028 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3026)) )).
% 12.32/12.55 cnf(matrix-2140, plain, ( ( _u3026 != hAPP(c_Int_Onat, _u3028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3028)) | ( _u3026 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2141, plain, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3029)) | ( _u3027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2142, plain, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | ( _u3029 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3029)) )).
% 12.32/12.55 cnf(matrix-2143, plain, ( ( _u3027 = hAPP(c_Int_Onat, _u3029)) | ( _u3029 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3027)) | ( _u3027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2144, plain, ( ( hAPP(c_Int_Onat, _u3032) != _u3034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | ( _u3032 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3034)) )).
% 12.32/12.55 cnf(matrix-2145, plain, ( ( hAPP(c_Int_Onat, _u3032) != _u3034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | ( _u3034 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2146, plain, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3033)) | ( _u3035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2147, plain, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | ( _u3033 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3033)) )).
% 12.32/12.55 cnf(matrix-2148, plain, ( ( hAPP(c_Int_Onat, _u3033) = _u3035) | ( _u3033 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3035)) | ( _u3035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3037)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3036), _u3037)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3036)), hAPP(c_Int_Onat, _u3037))) )).
% 12.32/12.55 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3039)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3038)), hAPP(c_Int_Onat, _u3039)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3038), _u3039))) )).
% 12.32/12.55 cnf(matrix-2151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3040)) | 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)), _u3040))) )).
% 12.32/12.55 cnf(matrix-2152, 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, _u3041))))) )).
% 12.32/12.55 cnf(matrix-2153, plain, ( ~class_Rings_Oring__1(_u3042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3043)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3042), hAPP(c_Int_Onat, _u3043)) = hAPP(c_Int_Oring__1__class_Oof__int(_u3042), _u3043)) )).
% 12.32/12.55 cnf(matrix-2154, plain, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Ozero__class_Ozero(_u3044)), _u3045)) | ( c_Groups_Osgn__class_Osgn(_u3044, _u3045) = c_Groups_Oone__class_Oone(_u3044)) )).
% 12.32/12.55 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3046)) | ( _u3046 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3047), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3046), _u3048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3048), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3049)) | ( _u3049 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3050), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3049), _u3051))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3050), _u3049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3051)) )).
% 12.32/12.55 cnf(matrix-2157, 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), _u3052), _u3053)), _u3054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3054), _u3052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3053)) )).
% 12.32/12.55 cnf(matrix-2158, 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), _u3055), _u3056)), _u3057)), 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)), _u3057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3056), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2159, 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), _u3058), _u3059)), _u3060)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3058), _u3061)), _u3062))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3060), _u3058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3062), _u3058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3059), _u3061)) )).
% 12.32/12.55 cnf(matrix-2160, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3063), _u3064)), _u3065) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3066), _u3067)), _u3068)) | ~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), _u3066), _u3067)), _u3068))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3068), _u3066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3065)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3066), _u3063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3064), _u3067)) )).
% 12.32/12.55 cnf(matrix-2161, 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), _u3069), _u3070)), _u3071)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3069), _u3072)), _u3073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3073), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3069), _u3073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3069), _u3071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3072), _u3070)) )).
% 12.32/12.55 cnf(matrix-2162, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3074), _u3075)), _u3076) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3077), _u3078)), _u3079)) | ~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), _u3077), _u3078)), _u3079)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3076), _u3074)) | ~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), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3077), _u3074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3078), _u3075)) )).
% 12.32/12.55 cnf(matrix-2163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3081), _u3082)) )).
% 12.32/12.55 cnf(matrix-2164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3081), _u3082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3081)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3080), _u3082))) )).
% 12.32/12.55 cnf(matrix-2165, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3083), _u3083)) )).
% 12.32/12.55 cnf(matrix-2166, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3084), _u3085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3085), _u3084)) )).
% 12.32/12.55 cnf(matrix-2167, plain, ( ( _u3086 != _u3087) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3086), _u3087)) )).
% 12.32/12.55 cnf(matrix-2168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3088), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3089), _u3090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3088), _u3090)) )).
% 12.32/12.55 cnf(matrix-2169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3091), _u3092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3092), _u3091)) | ( _u3091 = _u3092) )).
% 12.32/12.55 cnf(matrix-2170, plain, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3095), _u3096)) )).
% 12.32/12.55 cnf(matrix-2171, plain, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3096), _u3095)) )).
% 12.32/12.55 cnf(matrix-2172, plain, ( ~class_Orderings_Oord(_u3093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3095), _u3096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3094, _u3093)), _u3096), _u3095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3094, _u3093)), _u3095), _u3096)) )).
% 12.32/12.55 cnf(matrix-2173, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3100), _u3102) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3100), _u3104)) | ( _u3100 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3102 = _u3104) )).
% 12.32/12.55 cnf(matrix-2174, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3103) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3105)) | ( _u3101 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2175, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3103) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3101), _u3105)) | ( _u3103 != _u3105) )).
% 12.32/12.55 cnf(matrix-2176, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3106), _u3107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3108), _u3107)), _u3109)) = 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), _u3106), _u3108)), _u3107)), _u3109)) )).
% 12.32/12.55 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3110)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3111) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3112)) | ( _u3111 = _u3112) )).
% 12.32/12.55 cnf(matrix-2178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3110)) | ( _u3111 != _u3112) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3111) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3110), _u3112)) )).
% 12.32/12.55 cnf(matrix-2179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3114)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3114), _u3115)) )).
% 12.32/12.55 cnf(matrix-2180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3114), _u3115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3114)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3113), _u3115))) )).
% 12.32/12.55 cnf(matrix-2181, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2182, plain, ( ~class_Lattices_Oboolean__algebra(_u3116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3117)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), _u3118), _u3117)) )).
% 12.32/12.55 cnf(matrix-2183, plain, ( ~class_Lattices_Oboolean__algebra(_u3116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), _u3118), _u3117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3116), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3117)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3116), _u3118))) )).
% 12.32/12.55 cnf(matrix-2184, plain, ( ~class_Lattices_Oboolean__algebra(_u3119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3119), _u3120), _u3121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3119), hAPP(c_Groups_Ouminus__class_Ouminus(_u3119), _u3121)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3119), _u3120))) )).
% 12.32/12.55 cnf(matrix-2185, plain, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem53(_u3125, _u3124)), _u3125)) )).
% 12.32/12.55 cnf(matrix-2186, plain, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3122), skolem53(_u3125, _u3124))) | ~hBOOL(hAPP(_u3124, _u3122)) )).
% 12.32/12.55 cnf(matrix-2187, plain, ( hBOOL(hAPP(_u3124, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3124, _u3125)) | hBOOL(hAPP(_u3124, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem53(_u3125, _u3124)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-2188, plain, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3127), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2189, plain, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3129), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) )).
% 12.32/12.55 cnf(matrix-2190, plain, ( ( _u3126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3127), _u3128)), _u3129)) | ( _u3127 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3126, _u3127) = _u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3129), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3127), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3131), _u3132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3132), 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), _u3131), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3133, _u3130))), _u3132)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3135), _u3136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3136), 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), _u3135), _u3134)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3135), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3137, _u3134))), _u3136))) )).
% 12.32/12.55 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3139), _u3140)) | 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), _u3140), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3141, _u3138))), _u3139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3138))) )).
% 12.32/12.55 cnf(matrix-2194, plain, ( ~class_Divides_Osemiring__div(_u3142) | ( c_Divides_Odiv__class_Omod(_u3142, c_Divides_Odiv__class_Omod(_u3142, _u3143, _u3144), _u3144) = c_Divides_Odiv__class_Omod(_u3142, _u3143, _u3144)) )).
% 12.32/12.55 cnf(matrix-2195, plain, ( ~class_Divides_Osemiring__div(_u3145) | ( c_Divides_Odiv__class_Omod(_u3145, c_Groups_Ozero__class_Ozero(_u3145), _u3146) = c_Groups_Ozero__class_Ozero(_u3145)) )).
% 12.32/12.55 cnf(matrix-2196, plain, ( ~class_Divides_Osemiring__div(_u3147) | ( c_Divides_Odiv__class_Omod(_u3147, _u3148, c_Groups_Ozero__class_Ozero(_u3147)) = _u3148) )).
% 12.32/12.55 cnf(matrix-2197, plain, ( ~class_Divides_Osemiring__div(_u3149) | ( c_Divides_Odiv__class_Omod(_u3149, _u3150, _u3150) = c_Groups_Ozero__class_Ozero(_u3149)) )).
% 12.32/12.55 cnf(matrix-2198, plain, ( ~class_Divides_Osemiring__div(_u3151) | ( c_Divides_Odiv__class_Omod(_u3151, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3151), _u3152), _u3153), _u3153) = c_Divides_Odiv__class_Omod(_u3151, _u3152, _u3153)) )).
% 12.32/12.55 cnf(matrix-2199, plain, ( ~class_Divides_Osemiring__div(_u3154) | ( c_Divides_Odiv__class_Omod(_u3154, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3154), _u3155), _u3156), _u3155) = c_Divides_Odiv__class_Omod(_u3154, _u3156, _u3155)) )).
% 12.32/12.55 cnf(matrix-2200, plain, ( ~class_Divides_Osemiring__div(_u3157) | ( c_Divides_Odiv__class_Omod(_u3157, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3157), _u3158), _u3159), _u3160) = c_Divides_Odiv__class_Omod(_u3157, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3157), _u3158), c_Divides_Odiv__class_Omod(_u3157, _u3159, _u3160)), _u3160)) )).
% 12.32/12.55 cnf(matrix-2201, plain, ( ~class_Divides_Osemiring__div(_u3161) | ( c_Divides_Odiv__class_Omod(_u3161, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3161), _u3162), _u3163), _u3164) = c_Divides_Odiv__class_Omod(_u3161, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3161), c_Divides_Odiv__class_Omod(_u3161, _u3162, _u3164)), _u3163), _u3164)) )).
% 12.32/12.55 cnf(matrix-2202, plain, ( ~class_Divides_Osemiring__div(_u3165) | ( c_Divides_Odiv__class_Omod(_u3165, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3165), _u3166), _u3167), _u3168) = c_Divides_Odiv__class_Omod(_u3165, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3165), c_Divides_Odiv__class_Omod(_u3165, _u3166, _u3168)), c_Divides_Odiv__class_Omod(_u3165, _u3167, _u3168)), _u3168)) )).
% 12.32/12.55 cnf(matrix-2203, plain, ( ~class_Divides_Osemiring__div(_u3169) | ( c_Divides_Odiv__class_Omod(_u3169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3169), _u3170), c_Divides_Odiv__class_Omod(_u3169, _u3171, _u3172)), _u3172) = c_Divides_Odiv__class_Omod(_u3169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3169), _u3170), _u3171), _u3172)) )).
% 12.32/12.55 cnf(matrix-2204, plain, ( ~class_Divides_Osemiring__div(_u3173) | ( c_Divides_Odiv__class_Omod(_u3173, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3173), c_Divides_Odiv__class_Omod(_u3173, _u3174, _u3175)), _u3176), _u3175) = c_Divides_Odiv__class_Omod(_u3173, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3173), _u3174), _u3176), _u3175)) )).
% 12.32/12.55 cnf(matrix-2205, plain, ( ~class_Divides_Osemiring__div(_u3177) | ( c_Divides_Odiv__class_Omod(_u3177, _u3178, _u3179) != c_Divides_Odiv__class_Omod(_u3177, _u3180, _u3179)) | ( c_Divides_Odiv__class_Omod(_u3177, _u3181, _u3179) != c_Divides_Odiv__class_Omod(_u3177, _u3182, _u3179)) | ( c_Divides_Odiv__class_Omod(_u3177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), _u3178), _u3181), _u3179) = c_Divides_Odiv__class_Omod(_u3177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), _u3180), _u3182), _u3179)) )).
% 12.32/12.55 cnf(matrix-2206, plain, ( ~class_Divides_Osemiring__div(_u3183) | ( c_Divides_Odiv__class_Omod(_u3183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3183), _u3184), _u3185), _u3186) = c_Divides_Odiv__class_Omod(_u3183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3183), _u3184), c_Divides_Odiv__class_Omod(_u3183, _u3185, _u3186)), _u3186)) )).
% 12.32/12.55 cnf(matrix-2207, plain, ( ~class_Divides_Osemiring__div(_u3187) | ( c_Divides_Odiv__class_Omod(_u3187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3187), _u3188), _u3189), _u3190) = c_Divides_Odiv__class_Omod(_u3187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3187), c_Divides_Odiv__class_Omod(_u3187, _u3188, _u3190)), _u3189), _u3190)) )).
% 12.32/12.55 cnf(matrix-2208, plain, ( ~class_Divides_Osemiring__div(_u3191) | ( c_Divides_Odiv__class_Omod(_u3191, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3191), _u3192), _u3193), _u3194) = c_Divides_Odiv__class_Omod(_u3191, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3191), c_Divides_Odiv__class_Omod(_u3191, _u3192, _u3194)), c_Divides_Odiv__class_Omod(_u3191, _u3193, _u3194)), _u3194)) )).
% 12.32/12.55 cnf(matrix-2209, plain, ( ~class_Divides_Osemiring__div(_u3195) | ( c_Divides_Odiv__class_Omod(_u3195, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), _u3197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), _u3198)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3195), _u3196), c_Divides_Odiv__class_Omod(_u3195, _u3197, _u3198))) )).
% 12.32/12.55 cnf(matrix-2210, plain, ( ~class_Divides_Osemiring__div(_u3199) | ( c_Divides_Odiv__class_Omod(_u3199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), _u3200), _u3201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), _u3202), _u3201)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3199), c_Divides_Odiv__class_Omod(_u3199, _u3200, _u3202)), _u3201)) )).
% 12.32/12.55 cnf(matrix-2211, plain, ( ~class_Divides_Osemiring__div(_u3203) | ( c_Divides_Odiv__class_Omod(_u3203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3203), c_Divides_Odiv__class_Omod(_u3203, _u3204, _u3205)), _u3206), _u3205) = c_Divides_Odiv__class_Omod(_u3203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3203), _u3204), _u3206), _u3205)) )).
% 12.32/12.55 cnf(matrix-2212, plain, ( ~class_Divides_Osemiring__div(_u3207) | ( c_Divides_Odiv__class_Omod(_u3207, _u3208, _u3209) != c_Divides_Odiv__class_Omod(_u3207, _u3210, _u3209)) | ( c_Divides_Odiv__class_Omod(_u3207, _u3211, _u3209) != c_Divides_Odiv__class_Omod(_u3207, _u3212, _u3209)) | ( c_Divides_Odiv__class_Omod(_u3207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3207), _u3208), _u3211), _u3209) = c_Divides_Odiv__class_Omod(_u3207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3207), _u3210), _u3212), _u3209)) )).
% 12.32/12.55 cnf(matrix-2213, plain, ( ~class_Divides_Oring__div(_u3213) | ( c_Divides_Odiv__class_Omod(_u3213, hAPP(c_Groups_Ouminus__class_Ouminus(_u3213), _u3214), _u3215) = c_Divides_Odiv__class_Omod(_u3213, hAPP(c_Groups_Ouminus__class_Ouminus(_u3213), c_Divides_Odiv__class_Omod(_u3213, _u3214, _u3215)), _u3215)) )).
% 12.32/12.55 cnf(matrix-2214, plain, ( ~class_Divides_Oring__div(_u3216) | ( c_Divides_Odiv__class_Omod(_u3216, _u3217, _u3218) != c_Divides_Odiv__class_Omod(_u3216, _u3219, _u3218)) | ( c_Divides_Odiv__class_Omod(_u3216, hAPP(c_Groups_Ouminus__class_Ouminus(_u3216), _u3217), _u3218) = c_Divides_Odiv__class_Omod(_u3216, hAPP(c_Groups_Ouminus__class_Ouminus(_u3216), _u3219), _u3218)) )).
% 12.32/12.55 cnf(matrix-2215, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3220) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2216, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3221, _u3221) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2217, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3222), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3223, _u3224)), _u3224) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3222), _u3223), _u3224)) )).
% 12.32/12.55 cnf(matrix-2218, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3225), _u3226), _u3227) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3225), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3226, _u3227)), _u3227)) )).
% 12.32/12.55 cnf(matrix-2219, 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, _u3228, _u3229)), _u3229) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3228), _u3229)) )).
% 12.32/12.55 cnf(matrix-2220, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3230), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3231)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3230, _u3231))) )).
% 12.32/12.55 cnf(matrix-2221, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3232, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3233)) = 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), _u3232), _u3233))) )).
% 12.32/12.55 cnf(matrix-2222, plain, ( ~class_Divides_Osemiring__div(_u3234) | ( c_Divides_Odiv__class_Omod(_u3234, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3234), _u3235), _u3236), _u3236) = c_Groups_Ozero__class_Ozero(_u3234)) )).
% 12.32/12.55 cnf(matrix-2223, plain, ( ~class_Divides_Osemiring__div(_u3237) | ( c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3237), _u3238), _u3239), _u3238) = c_Groups_Ozero__class_Ozero(_u3237)) )).
% 12.32/12.55 cnf(matrix-2224, plain, ( ~class_Divides_Osemiring__div(_u3240) | ( c_Divides_Odiv__class_Omod(_u3240, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3240), _u3241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3242), _u3243)), _u3242) = c_Divides_Odiv__class_Omod(_u3240, _u3241, _u3242)) )).
% 12.32/12.55 cnf(matrix-2225, plain, ( ~class_Divides_Osemiring__div(_u3244) | ( c_Divides_Odiv__class_Omod(_u3244, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3244), _u3245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3244), _u3246), _u3247)), _u3247) = c_Divides_Odiv__class_Omod(_u3244, _u3245, _u3247)) )).
% 12.32/12.55 cnf(matrix-2226, plain, ( ~class_Divides_Osemiring__div(_u3248) | ( c_Divides_Odiv__class_Omod(_u3248, _u3249, c_Groups_Oone__class_Oone(_u3248)) = c_Groups_Ozero__class_Ozero(_u3248)) )).
% 12.32/12.55 cnf(matrix-2227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3250, _u3251)), _u3250)) )).
% 12.32/12.55 cnf(matrix-2228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3253)) | 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, _u3252, _u3253))) )).
% 12.32/12.55 cnf(matrix-2229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3254), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3254), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3255, _u3254))) )).
% 12.32/12.55 cnf(matrix-2230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3257, _u3256)), _u3256)) )).
% 12.32/12.55 cnf(matrix-2231, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3262, _u3264) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3262 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3264), skolem54(_u3264, _u3262))) )).
% 12.32/12.55 cnf(matrix-2232, plain, ( ( _u3263 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3265), _u3259)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3263, _u3265) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2233, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3266, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3267)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3266, _u3267) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2234, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3268), _u3269) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3268, _u3269) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3271), _u3270)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3270, _u3271) = _u3270) )).
% 12.32/12.55 cnf(matrix-2236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), 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, _u3273, _u3272)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3272), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3273, _u3272))) )).
% 12.32/12.55 cnf(matrix-2238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3274), 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, _u3275, _u3274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3276), _u3277)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3276, _u3277) = _u3276) )).
% 12.32/12.55 cnf(matrix-2240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3278)) | 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, _u3279, _u3278))) )).
% 12.32/12.55 cnf(matrix-2241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3279, _u3278)), _u3278)) )).
% 12.32/12.55 cnf(matrix-2242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3280)) | 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, _u3281, _u3280))) )).
% 12.32/12.55 cnf(matrix-2243, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), _u3284)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3282), _u3283), _u3284)) )).
% 12.32/12.55 cnf(matrix-2244, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3285) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), _u3286), _u3286) = _u3286) )).
% 12.32/12.55 cnf(matrix-2245, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3287), _u3288), _u3288) = _u3288) )).
% 12.32/12.55 cnf(matrix-2246, plain, ( ~class_Lattices_Oboolean__algebra(_u3289) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3290) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3291)) | ( _u3290 = _u3291) )).
% 12.32/12.55 cnf(matrix-2247, plain, ( ~class_Lattices_Oboolean__algebra(_u3289) | ( _u3290 != _u3291) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3290) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3289), _u3291)) )).
% 12.32/12.55 cnf(matrix-2248, plain, ( ~class_Groups_Ouminus(_u3292) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3293, _u3292)), _u3294), _u3295) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3292), hAPP(_u3294, _u3295))) )).
% 12.32/12.55 cnf(matrix-2249, plain, ( ~class_Lattices_Oboolean__algebra(_u3296) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3296), hAPP(c_Groups_Ouminus__class_Ouminus(_u3296), _u3297)) = _u3297) )).
% 12.32/12.55 cnf(matrix-2250, plain, ( ~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_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3298), _u3299)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3298, _u3299) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3298), _u3299)) )).
% 12.32/12.55 cnf(matrix-2251, plain, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ( _u3315 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3311, _u3313)) )).
% 12.32/12.55 cnf(matrix-2252, plain, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3300), _u3315)) | ( _u3313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3315), _u3301)), _u3300)) | hBOOL(hAPP(_u3311, _u3300)) )).
% 12.32/12.55 cnf(matrix-2253, plain, ( ~hBOOL(hAPP(_u3311, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3313, _u3315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3315), _u3302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3315), _u3303)), _u3302)) | hBOOL(hAPP(_u3311, _u3302)) )).
% 12.32/12.55 cnf(matrix-2254, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2255, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2256, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2257, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2258, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2259, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2260, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2261, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2262, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2263, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2264, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2265, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2266, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2267, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2268, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2269, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2270, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2271, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2272, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2273, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2274, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2275, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2276, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2277, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2278, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2279, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2280, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = 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)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2281, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2282, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2283, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ( _u3316 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2284, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2285, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2286, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2287, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2288, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3316), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2289, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2290, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2291, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2292, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2293, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem58(_u3316, _u3314, _u3312)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2294, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2295, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2296, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2297, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2298, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem57(_u3316, _u3314, _u3312))), skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2299, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2300, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2301, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem56(_u3316, _u3314, _u3312)), _u3316)) )).
% 12.32/12.55 cnf(matrix-2302, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ( _u3314 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3316), skolem55(_u3316, _u3314, _u3312))), skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2303, plain, ( hBOOL(hAPP(_u3312, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3314, _u3316))) | ~hBOOL(hAPP(_u3312, skolem58(_u3316, _u3314, _u3312))) | ~hBOOL(hAPP(_u3312, _u3314)) | ~hBOOL(hAPP(_u3312, skolem56(_u3316, _u3314, _u3312))) )).
% 12.32/12.55 cnf(matrix-2304, 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), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3318), _u3319)) | 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), _u3319), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3320, _u3317))), _u3318))) )).
% 12.32/12.55 cnf(matrix-2305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3323)) | ( c_SMT_Oz3mod(_u3325, _u3323) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3325, _u3323)) )).
% 12.32/12.55 cnf(matrix-2306, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3324)) | ( c_SMT_Oz3mod(_u3326, _u3324) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3326, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3324))) )).
% 12.32/12.55 cnf(matrix-2307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | ~hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3327), _u3331)) | ( _u3333 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3331), _u3328)), _u3327)) | hBOOL(hAPP(hAPP(_u3332, _u3328), _u3327)) )).
% 12.32/12.55 cnf(matrix-2308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.55 cnf(matrix-2309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem60(_u3333, _u3332, _u3331)), _u3331)) )).
% 12.32/12.55 cnf(matrix-2310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ( _u3333 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3331), skolem59(_u3333, _u3332, _u3331))), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.55 cnf(matrix-2311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | hBOOL(hAPP(hAPP(_u3332, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3333), _u3331)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3333, _u3331))) | ~hBOOL(hAPP(hAPP(_u3332, skolem59(_u3333, _u3332, _u3331)), skolem60(_u3333, _u3332, _u3331))) )).
% 12.32/12.55 cnf(matrix-2312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), _u3334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3334), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3340 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3338), _u3335)), _u3334)) | hBOOL(hAPP(hAPP(_u3339, _u3335), _u3334)) )).
% 12.32/12.55 cnf(matrix-2313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.55 cnf(matrix-2314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem62(_u3340, _u3339, _u3338)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ( _u3340 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3338), skolem61(_u3340, _u3339, _u3338))), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.55 cnf(matrix-2316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3339, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3340), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3338))) | ~hBOOL(hAPP(hAPP(_u3339, skolem61(_u3340, _u3339, _u3338)), skolem62(_u3340, _u3339, _u3338))) )).
% 12.32/12.55 cnf(matrix-2317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3341)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), _u3341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3342), _u3343), _u3341))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, _u3343))) )).
% 12.32/12.55 cnf(matrix-2318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3344, _u3345))) )).
% 12.32/12.55 cnf(matrix-2319, plain, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ( _u3361 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3357, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2320, plain, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3346), _u3361)) | ( _u3359 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3361), _u3347)), _u3346)) | hBOOL(hAPP(_u3357, _u3347)) )).
% 12.32/12.55 cnf(matrix-2321, plain, ( ~hBOOL(hAPP(_u3357, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3359), _u3361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3361), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3361), _u3348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3348), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3359 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3361), _u3349)), _u3348)) | hBOOL(hAPP(_u3357, _u3349)) )).
% 12.32/12.55 cnf(matrix-2322, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2323, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2324, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2325, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2326, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2327, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2328, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2329, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2330, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2331, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2332, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2333, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2334, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2335, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2336, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2337, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2338, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2339, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2340, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2341, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2342, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2343, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2344, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2345, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2346, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2347, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2348, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2349, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2350, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2351, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ( _u3362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2352, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2353, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2354, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2355, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2356, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3362), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2357, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2358, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2359, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2360, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2361, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3362, _u3360, _u3358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2362, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2363, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2364, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2365, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2366, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem65(_u3362, _u3360, _u3358))), skolem66(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2367, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2368, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, 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)), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2369, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3362, _u3360, _u3358)), _u3362)) )).
% 12.32/12.55 cnf(matrix-2370, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3360 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3362), skolem63(_u3362, _u3360, _u3358))), skolem64(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2371, plain, ( hBOOL(hAPP(_u3358, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3360), _u3362))) | ~hBOOL(hAPP(_u3358, skolem65(_u3362, _u3360, _u3358))) | ~hBOOL(hAPP(_u3358, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3358, skolem63(_u3362, _u3360, _u3358))) )).
% 12.32/12.55 cnf(matrix-2372, plain, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3364), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3366), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2373, plain, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3366), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3364)) )).
% 12.32/12.55 cnf(matrix-2374, plain, ( ( _u3363 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3364), _u3365)), _u3366)) | ( _u3364 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3363), _u3364) = _u3365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3366), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3364), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3366), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = 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), _u3376), skolem67(_u3376, _u3374, _u3372))), _u3374)) )).
% 12.32/12.55 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3376), hAPP(c_Nat_OSuc, skolem67(_u3376, _u3374, _u3372))))) )).
% 12.32/12.55 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | ( _u3376 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3372, skolem67(_u3376, _u3374, _u3372))) )).
% 12.32/12.55 cnf(matrix-2378, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, 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), _u3376), skolem67(_u3376, _u3374, _u3372))), _u3374)) )).
% 12.32/12.55 cnf(matrix-2379, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3376), hAPP(c_Nat_OSuc, skolem67(_u3376, _u3374, _u3372))))) )).
% 12.32/12.55 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(_u3372, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3374), _u3376))) | hBOOL(hAPP(_u3372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3372, skolem67(_u3376, _u3374, _u3372))) )).
% 12.32/12.55 cnf(matrix-2381, plain, ( hBOOL(hAPP(_u3373, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3375), _u3377))) | ( _u3377 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3373, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2382, plain, ( hBOOL(hAPP(_u3373, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3375), _u3377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3377), _u3368)), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3375), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3377), hAPP(c_Nat_OSuc, _u3368)))) | ~hBOOL(hAPP(_u3373, _u3368)) )).
% 12.32/12.55 cnf(matrix-2383, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3378), _u3379)), _u3380) = 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), _u3378), _u3380)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3379), _u3380))), 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, _u3378, _u3380)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3379, _u3380))), _u3380))) )).
% 12.32/12.55 cnf(matrix-2384, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3381)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3382)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3381), _u3382))) )).
% 12.32/12.55 cnf(matrix-2385, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3383), _u3384)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3383)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3384))) )).
% 12.32/12.55 cnf(matrix-2386, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3385, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3386), _u3387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3386), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3385), _u3386), _u3387))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3385, _u3386))) )).
% 12.32/12.55 cnf(matrix-2387, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3388), _u3389)), _u3390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3388), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3390))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3388), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3389, _u3390))), _u3390))) )).
% 12.32/12.55 cnf(matrix-2388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3391), _u3392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3393))) )).
% 12.32/12.55 cnf(matrix-2389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3394), _u3395)), _u3394)) )).
% 12.32/12.55 cnf(matrix-2390, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3396) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2391, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3397), _u3398) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3397, _u3398)), _u3398)) )).
% 12.32/12.55 cnf(matrix-2392, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3400), _u3401)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3399), _u3400)), _u3401)) )).
% 12.32/12.55 cnf(matrix-2393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3402), _u3403)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3402, _u3403) = _u3402) )).
% 12.32/12.55 cnf(matrix-2394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3404, _u3405)), _u3404)) )).
% 12.32/12.55 cnf(matrix-2395, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3407)), _u3408) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3406), _u3408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), _u3408))) )).
% 12.32/12.55 cnf(matrix-2396, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3410, _u3411)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3411))) )).
% 12.32/12.55 cnf(matrix-2397, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3412), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3413)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3412)), _u3413)) )).
% 12.32/12.55 cnf(matrix-2398, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3414)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3415)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3414), _u3415)) )).
% 12.32/12.55 cnf(matrix-2399, plain, ( ~class_Divides_Osemiring__div(_u3416) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3416), c_Groups_Ozero__class_Ozero(_u3416)), _u3417) = c_Groups_Ozero__class_Ozero(_u3416)) )).
% 12.32/12.55 cnf(matrix-2400, plain, ( ~class_Divides_Osemiring__div(_u3418) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3418), _u3419), c_Groups_Ozero__class_Ozero(_u3418)) = c_Groups_Ozero__class_Ozero(_u3418)) )).
% 12.32/12.55 cnf(matrix-2401, plain, ( ~class_Divides_Osemiring__div(_u3420) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3420), _u3421), c_Groups_Oone__class_Oone(_u3420)) = _u3421) )).
% 12.32/12.55 cnf(matrix-2402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3422)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3422), _u3423)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3422)), hAPP(c_Int_Onat, _u3423))) )).
% 12.32/12.55 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3425)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3424)), hAPP(c_Int_Onat, _u3425)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3424), _u3425))) )).
% 12.32/12.55 cnf(matrix-2404, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3426), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3426) )).
% 12.32/12.55 cnf(matrix-2405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3427), _u3428)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3427), _u3428) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2406, plain, ( ( _u3432 != 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), _u3432), _u3434)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3432), _u3436)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2407, plain, ( ( _u3433 = 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), _u3433), _u3435)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3433), _u3437)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3435), _u3437)) )).
% 12.32/12.55 cnf(matrix-2408, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3440, _u3442)) != _u3442) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3440), _u3442) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2409, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3441, _u3443)) = _u3443) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3441), _u3443) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3441, _u3443))) )).
% 12.32/12.55 cnf(matrix-2410, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3444, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3446)) | 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), _u3445), _u3446))) )).
% 12.32/12.55 cnf(matrix-2412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3448, _u3447)), _u3447)) )).
% 12.32/12.55 cnf(matrix-2413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3450), _u3449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3450), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3450), 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), _u3450), _u3449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3451), 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), _u3452), _u3451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3452)) )).
% 12.32/12.55 cnf(matrix-2416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3451), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3452), _u3451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3453), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3453), _u3454)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2418, plain, ( ( _u3455 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3455), _u3455) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2419, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3460, _u3462) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3460 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3462), skolem68(_u3462, _u3460))) )).
% 12.32/12.55 cnf(matrix-2420, plain, ( ( _u3461 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3463), _u3457)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3461, _u3463) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2421, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3465), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2422, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3466, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3466) )).
% 12.32/12.55 cnf(matrix-2423, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3467, _u3468)), _u3468) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2424, 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), _u3469), _u3470)), _u3471), _u3470) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3471, _u3470)) )).
% 12.32/12.55 cnf(matrix-2425, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3472), _u3473)), _u3474) = 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), _u3472), _u3474)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3473), _u3474))), 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, _u3472, _u3474)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3473, _u3474))), _u3474))) )).
% 12.32/12.55 cnf(matrix-2426, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3475), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3476)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3475, _u3476))) )).
% 12.32/12.55 cnf(matrix-2427, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3477, _u3478)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3477), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3478))) )).
% 12.32/12.55 cnf(matrix-2428, plain, ( ~class_Divides_Osemiring__div(_u3479) | ( _u3480 = c_Groups_Ozero__class_Ozero(_u3479)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3479), _u3480), _u3481)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3479), _u3480), _u3482)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3479), _u3481), _u3482)) )).
% 12.32/12.55 cnf(matrix-2429, plain, ( ~class_Divides_Osemiring__div(_u3483) | ( _u3484 = c_Groups_Ozero__class_Ozero(_u3483)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3483), _u3485), _u3484)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3483), _u3486), _u3484)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), _u3485), _u3486)) )).
% 12.32/12.55 cnf(matrix-2430, plain, ( ~class_Divides_Osemiring__div(_u3487) | ( _u3488 = c_Groups_Ozero__class_Ozero(_u3487)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3487), _u3488), _u3489)), _u3488) = _u3489) )).
% 12.32/12.55 cnf(matrix-2431, plain, ( ~class_Divides_Osemiring__div(_u3490) | ( _u3491 = c_Groups_Ozero__class_Ozero(_u3490)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3490), _u3492), _u3491)), _u3491) = _u3492) )).
% 12.32/12.55 cnf(matrix-2432, plain, ( ~class_Divides_Osemiring__div(_u3493) | ( _u3494 != c_Groups_Ozero__class_Ozero(_u3493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3496)) = c_Groups_Ozero__class_Ozero(_u3493)) )).
% 12.32/12.55 cnf(matrix-2433, plain, ( ~class_Divides_Osemiring__div(_u3493) | ( _u3494 = c_Groups_Ozero__class_Ozero(_u3493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3493), _u3494), _u3496)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3493), _u3495), _u3496)) )).
% 12.32/12.55 cnf(matrix-2434, plain, ( ~class_Divides_Osemiring__div(_u3497) | ( _u3498 = c_Groups_Ozero__class_Ozero(_u3497)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3497), _u3498), _u3498) = c_Groups_Oone__class_Oone(_u3497)) )).
% 12.32/12.55 cnf(matrix-2435, plain, ( ~class_Divides_Osemiring__div(_u3499) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3499), c_Divides_Odiv__class_Omod(_u3499, _u3500, _u3501)), _u3501) = c_Groups_Ozero__class_Ozero(_u3499)) )).
% 12.32/12.55 cnf(matrix-2436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3502), _u3503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3504), _u3503)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3504), _u3502))) )).
% 12.32/12.55 cnf(matrix-2437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3505)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3506), _u3505)), _u3505) = _u3506) )).
% 12.32/12.55 cnf(matrix-2438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3507)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3507), _u3508)), _u3507) = _u3508) )).
% 12.32/12.55 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3509)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3509), _u3510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3509), _u3511)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3510), _u3511)) )).
% 12.32/12.55 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3513), _u3512)), _u3513)) )).
% 12.32/12.55 cnf(matrix-2441, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = 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)), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2442, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = 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)), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), _u3516)) )).
% 12.32/12.55 cnf(matrix-2443, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3516), _u3518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2444, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3516), _u3518) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3518 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3516), _u3518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), _u3516)) )).
% 12.32/12.55 cnf(matrix-2445, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3519 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2446, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = 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)), _u3517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), _u3519)) )).
% 12.32/12.55 cnf(matrix-2447, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3519) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3519), _u3517)) )).
% 12.32/12.55 cnf(matrix-2448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3520)) | ~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), _u3521), _u3520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) )).
% 12.32/12.55 cnf(matrix-2449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3520)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) | 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), _u3521), _u3520))) )).
% 12.32/12.55 cnf(matrix-2450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3522)) | ~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), _u3523), _u3522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3522), _u3523)) )).
% 12.32/12.55 cnf(matrix-2451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3522), _u3523)) | 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), _u3523), _u3522))) )).
% 12.32/12.55 cnf(matrix-2452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3524)) | ~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), _u3524), _u3525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3525), _u3524)) )).
% 12.32/12.55 cnf(matrix-2453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3524)) | ~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), _u3524), _u3525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3525)) )).
% 12.32/12.55 cnf(matrix-2454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3525), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3525)) | 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), _u3524), _u3525))) )).
% 12.32/12.55 cnf(matrix-2455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3527), _u3528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3526), _u3528)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3526), _u3527))) )).
% 12.32/12.55 cnf(matrix-2456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3530), 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), _u3529), _u3530)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3531), _u3532)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3531), _u3532) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3533), 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), _u3534), _u3533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3534), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3533), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3534), 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), _u3534), _u3533))) )).
% 12.32/12.55 cnf(matrix-2460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3535), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3535), _u3536)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3537), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3538), _u3539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3537), _u3538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3537), _u3539))) )).
% 12.32/12.55 cnf(matrix-2462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3541), _u3540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3540), _u3541) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3542), _u3543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3542), _u3544)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3543), _u3544))) )).
% 12.32/12.55 cnf(matrix-2464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3545), _u3546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3547), 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), _u3546), _u3547)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3545), _u3547))) )).
% 12.32/12.55 cnf(matrix-2465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3549, _u3548)), _u3548)) )).
% 12.32/12.55 cnf(matrix-2466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3550), _u3551)), _u3550)) )).
% 12.32/12.55 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3552)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3554), _u3552)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3553), _u3554)), _u3552)) )).
% 12.32/12.55 cnf(matrix-2468, 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), _u3555), _u3556)), _u3557)), _u3556) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3557), _u3556)) )).
% 12.32/12.55 cnf(matrix-2469, 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), _u3558), _u3559)), _u3559)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3558, _u3559))), _u3560) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3558), _u3560)) )).
% 12.32/12.55 cnf(matrix-2470, 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), _u3561), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3562), _u3561))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3562, _u3561))), _u3563) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3562), _u3563)) )).
% 12.32/12.55 cnf(matrix-2471, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3564), _u3565)), _u3566) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3565), _u3566))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3564), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3565, _u3566))), _u3566))) )).
% 12.32/12.55 cnf(matrix-2472, plain, ( ( _u3567 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3568), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3567), _u3568))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3567, _u3568))) )).
% 12.32/12.55 cnf(matrix-2473, plain, ( ~class_Divides_Osemiring__div(_u3569) | ( _u3570 = c_Groups_Ozero__class_Ozero(_u3569)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3569), _u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3569), _u3572), _u3570))), _u3570) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3569), _u3572), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3569), _u3571), _u3570))) )).
% 12.32/12.55 cnf(matrix-2474, plain, ( ~class_Divides_Osemiring__div(_u3573) | ( _u3574 = c_Groups_Ozero__class_Ozero(_u3573)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3573), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3573), _u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3573), _u3574), _u3576))), _u3574) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3573), _u3576), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3573), _u3575), _u3574))) )).
% 12.32/12.55 cnf(matrix-2475, plain, ( ~class_Divides_Osemiring__div(_u3577) | ( _u3578 = c_Groups_Ozero__class_Ozero(_u3577)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3577), _u3578), _u3579)), _u3578) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3577), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3577), _u3579), _u3578)), c_Groups_Oone__class_Oone(_u3577))) )).
% 12.32/12.55 cnf(matrix-2476, plain, ( ~class_Divides_Osemiring__div(_u3580) | ( _u3581 = c_Groups_Ozero__class_Ozero(_u3580)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3580), _u3582), _u3581)), _u3581) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3580), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3580), _u3582), _u3581)), c_Groups_Oone__class_Oone(_u3580))) )).
% 12.32/12.55 cnf(matrix-2477, plain, ( ~class_Divides_Osemiring__div(_u3583) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3583), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3583), _u3584), _u3585)), _u3585)), c_Divides_Odiv__class_Omod(_u3583, _u3584, _u3585))), _u3586) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), _u3586)) )).
% 12.32/12.55 cnf(matrix-2478, plain, ( ~class_Divides_Osemiring__div(_u3587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3587), _u3588), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3587), _u3589), _u3588))), c_Divides_Odiv__class_Omod(_u3587, _u3589, _u3588))), _u3590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3589), _u3590)) )).
% 12.32/12.55 cnf(matrix-2479, plain, ( ~class_Divides_Osemiring__div(_u3591) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3591), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3591), _u3592), _u3593)), _u3593)), c_Divides_Odiv__class_Omod(_u3591, _u3592, _u3593)) = _u3592) )).
% 12.32/12.55 cnf(matrix-2480, plain, ( ~class_Divides_Osemiring__div(_u3594) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3594), _u3595), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3594), _u3596), _u3595))), c_Divides_Odiv__class_Omod(_u3594, _u3596, _u3595)) = _u3596) )).
% 12.32/12.55 cnf(matrix-2481, plain, ( ~class_Divides_Osemiring__div(_u3597) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3597), c_Divides_Odiv__class_Omod(_u3597, _u3598, _u3599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3597), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3597), _u3598), _u3599)), _u3599)) = _u3598) )).
% 12.32/12.55 cnf(matrix-2482, plain, ( ~hBOOL(hAPP(_u3607, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3609), _u3611))) | ( _u3611 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3607, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2483, plain, ( ~hBOOL(hAPP(_u3607, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3609), _u3611))) | ( _u3611 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3600), _u3611)) | ( _u3609 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3611), _u3601)), _u3600)) | hBOOL(hAPP(_u3607, _u3601)) )).
% 12.32/12.55 cnf(matrix-2484, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3612, _u3610, _u3608)), _u3612)) )).
% 12.32/12.55 cnf(matrix-2485, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3610 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), skolem69(_u3612, _u3610, _u3608))), skolem70(_u3612, _u3610, _u3608))) )).
% 12.32/12.55 cnf(matrix-2486, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3608, skolem69(_u3612, _u3610, _u3608))) )).
% 12.32/12.55 cnf(matrix-2487, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3612 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2488, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3612, _u3610, _u3608)), _u3612)) )).
% 12.32/12.55 cnf(matrix-2489, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3610 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), skolem69(_u3612, _u3610, _u3608))), skolem70(_u3612, _u3610, _u3608))) )).
% 12.32/12.55 cnf(matrix-2490, plain, ( hBOOL(hAPP(_u3608, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3610), _u3612))) | ~hBOOL(hAPP(_u3608, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3608, skolem69(_u3612, _u3610, _u3608))) )).
% 12.32/12.55 cnf(matrix-2491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3614), _u3615)) | 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), _u3615), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3616, _u3613))), _u3614)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3615), _u3613))) )).
% 12.32/12.55 cnf(matrix-2492, plain, ( ~hBOOL(hAPP(_u3624, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3626, _u3628))) | ( _u3628 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3624, _u3626)) )).
% 12.32/12.55 cnf(matrix-2493, plain, ( ~hBOOL(hAPP(_u3624, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3626, _u3628))) | ( _u3628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3617), _u3628)) | ( _u3626 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3628), _u3618)), _u3617)) | hBOOL(hAPP(_u3624, _u3617)) )).
% 12.32/12.55 cnf(matrix-2494, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3629, _u3627, _u3625)), _u3629)) )).
% 12.32/12.55 cnf(matrix-2495, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3627 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3629), skolem71(_u3629, _u3627, _u3625))), skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.55 cnf(matrix-2496, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ( _u3629 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3625, skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.55 cnf(matrix-2497, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ( _u3629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2498, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3629, _u3627, _u3625)), _u3629)) )).
% 12.32/12.55 cnf(matrix-2499, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ( _u3627 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3629), skolem71(_u3629, _u3627, _u3625))), skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.55 cnf(matrix-2500, plain, ( hBOOL(hAPP(_u3625, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3627, _u3629))) | ~hBOOL(hAPP(_u3625, _u3627)) | ~hBOOL(hAPP(_u3625, skolem72(_u3629, _u3627, _u3625))) )).
% 12.32/12.55 cnf(matrix-2501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3630)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3630), _u3631)), _u3630) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3633)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3632, _u3633)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3632), hAPP(c_Int_Onat, _u3633))) )).
% 12.32/12.55 cnf(matrix-2503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3635)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3634), hAPP(c_Int_Onat, _u3635)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3634, _u3635))) )).
% 12.32/12.55 cnf(matrix-2504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), _u3637)), _u3638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), hAPP(c_Nat_OSuc, _u3637)))) | ( _u3637 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) )).
% 12.32/12.55 cnf(matrix-2505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3636)) | ( _u3637 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), _u3637)), _u3638)) )).
% 12.32/12.55 cnf(matrix-2506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3636)) | ( _u3637 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3638), _u3636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3636), hAPP(c_Nat_OSuc, _u3637)))) )).
% 12.32/12.55 cnf(matrix-2507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3641)) | ( c_SMT_Oz3div(_u3643, _u3641) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3643), _u3641)) )).
% 12.32/12.55 cnf(matrix-2508, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3642)) | ( c_SMT_Oz3div(_u3644, _u3642) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3644), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3642)))) )).
% 12.32/12.55 cnf(matrix-2509, plain, ( ( _u3645 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3646, _u3645) != 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), _u3646)), _u3645) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3646), _u3645))) )).
% 12.32/12.55 cnf(matrix-2510, plain, ( ( _u3645 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3646, _u3645) = 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), _u3646)), _u3645) = 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), _u3646), _u3645))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2511, plain, ( ( _u3647 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3648, _u3647) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3647)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), _u3647))) )).
% 12.32/12.55 cnf(matrix-2512, plain, ( ( _u3647 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3648, _u3647) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3648), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3647)) = 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), _u3648), _u3647))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3649), _u3650)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3650), _u3649) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3650), _u3649)), _u3649))) )).
% 12.32/12.55 cnf(matrix-2514, plain, ( ~class_Divides_Osemiring__div(_u3651) | ( _u3652 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3651), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3651), _u3652), _u3653)), _u3653)), c_Divides_Odiv__class_Omod(_u3651, _u3652, _u3653))) )).
% 12.32/12.55 cnf(matrix-2515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3655)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3654)), hAPP(c_Int_Onat, _u3655)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3654, _u3655))) )).
% 12.32/12.55 cnf(matrix-2516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3660)) | ~hBOOL(hAPP(_u3659, _u3657)) | hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3660), _u3658)))) | hBOOL(hAPP(_u3659, skolem73(_u3660, _u3659, _u3658))) )).
% 12.32/12.55 cnf(matrix-2517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3660)) | ~hBOOL(hAPP(_u3659, _u3657)) | hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3660), _u3658)))) | ~hBOOL(hAPP(_u3659, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem73(_u3660, _u3659, _u3658)), _u3658))) )).
% 12.32/12.55 cnf(matrix-2518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3662), c_Groups_Ozero__class_Ozero(_u3662)), skolem74(_u3664, _u3663, _u3662))) )).
% 12.32/12.55 cnf(matrix-2519, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3662), skolem74(_u3664, _u3663, _u3662)), c_Groups_Oone__class_Oone(_u3662))) )).
% 12.32/12.55 cnf(matrix-2520, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), _u3663), _u3664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3662), skolem74(_u3664, _u3663, _u3662)), _u3663)), _u3664)) )).
% 12.32/12.55 cnf(matrix-2521, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3665), _u3666)), _u3667) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3665), _u3667)), _u3666)) )).
% 12.32/12.55 cnf(matrix-2522, plain, ( ~class_Groups_Oab__group__add(_u3668) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3669), _u3670) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3671), _u3672)) | ( _u3669 != _u3670) | ( _u3671 = _u3672) )).
% 12.32/12.55 cnf(matrix-2523, plain, ( ~class_Groups_Oab__group__add(_u3668) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3669), _u3670) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3668), _u3671), _u3672)) | ( _u3671 != _u3672) | ( _u3669 = _u3670) )).
% 12.32/12.55 cnf(matrix-2524, plain, ( ~class_Rings_Oring__1(_u3673) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3674), _u3675)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3673), hAPP(c_Int_Oring__1__class_Oof__int(_u3673), _u3674)), hAPP(c_Int_Oring__1__class_Oof__int(_u3673), _u3675))) )).
% 12.32/12.55 cnf(matrix-2525, plain, ( ~class_Groups_Ominus(_u3676) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3677, _u3676)), _u3678), _u3679), _u3680) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3676), hAPP(_u3678, _u3680)), hAPP(_u3679, _u3680))) )).
% 12.32/12.55 cnf(matrix-2526, plain, ( ~class_Rings_Oring__1(_u3681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3681), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), _u3683)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3681), _u3682))) )).
% 12.32/12.55 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3684), _u3685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3685)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3684)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3685), _u3684))) )).
% 12.32/12.55 cnf(matrix-2528, plain, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3687), _u3688) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3689), _u3690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3687), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3689), _u3690)) )).
% 12.32/12.55 cnf(matrix-2529, plain, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3687), _u3688) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3686), _u3689), _u3690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3689), _u3690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3687), _u3688)) )).
% 12.32/12.55 cnf(matrix-2530, plain, ( ~class_Groups_Ogroup__add(_u3691) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3691), _u3692), _u3693) != c_Groups_Ozero__class_Ozero(_u3691)) | ( _u3692 = _u3693) )).
% 12.32/12.55 cnf(matrix-2531, plain, ( ~class_Groups_Ogroup__add(_u3691) | ( _u3692 != _u3693) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3691), _u3692), _u3693) = c_Groups_Ozero__class_Ozero(_u3691)) )).
% 12.32/12.55 cnf(matrix-2532, plain, ( ~class_Groups_Oab__group__add(_u3694) | ( _u3695 != _u3696) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3694), _u3695), _u3696) = c_Groups_Ozero__class_Ozero(_u3694)) )).
% 12.32/12.55 cnf(matrix-2533, plain, ( ~class_Groups_Oab__group__add(_u3694) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3694), _u3695), _u3696) != c_Groups_Ozero__class_Ozero(_u3694)) | ( _u3695 = _u3696) )).
% 12.32/12.55 cnf(matrix-2534, plain, ( ~class_Groups_Ogroup__add(_u3697) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3697), _u3698), _u3698) = c_Groups_Ozero__class_Ozero(_u3697)) )).
% 12.32/12.55 cnf(matrix-2535, plain, ( ~class_Groups_Ogroup__add(_u3699) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3699), _u3700), c_Groups_Ozero__class_Ozero(_u3699)) = _u3700) )).
% 12.32/12.55 cnf(matrix-2536, plain, ( ~class_Groups_Oordered__ab__group__add(_u3701) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3702), _u3703) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3704), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3702), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3704), _u3705)) )).
% 12.32/12.55 cnf(matrix-2537, plain, ( ~class_Groups_Oordered__ab__group__add(_u3701) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3702), _u3703) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3701), _u3704), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3704), _u3705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3701), _u3702), _u3703)) )).
% 12.32/12.55 cnf(matrix-2538, plain, ( ~class_Groups_Ogroup__add(_u3706) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3706), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3706), _u3707), _u3708)), _u3708) = _u3707) )).
% 12.32/12.55 cnf(matrix-2539, plain, ( ~class_Groups_Ogroup__add(_u3709) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3709), _u3710), _u3711)), _u3711) = _u3710) )).
% 12.32/12.55 cnf(matrix-2540, plain, ( ~class_Groups_Oab__group__add(_u3712) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3712), _u3713), _u3714)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3712), _u3714), _u3713)) )).
% 12.32/12.55 cnf(matrix-2541, plain, ( ~class_Divides_Oring__div(_u3715) | ( c_Divides_Odiv__class_Omod(_u3715, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3715), _u3716), _u3717), _u3718) = c_Divides_Odiv__class_Omod(_u3715, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3715), _u3716), c_Divides_Odiv__class_Omod(_u3715, _u3717, _u3718)), _u3718)) )).
% 12.32/12.55 cnf(matrix-2542, plain, ( ~class_Divides_Oring__div(_u3719) | ( c_Divides_Odiv__class_Omod(_u3719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3719), _u3720), _u3721), _u3722) = c_Divides_Odiv__class_Omod(_u3719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3719), c_Divides_Odiv__class_Omod(_u3719, _u3720, _u3722)), _u3721), _u3722)) )).
% 12.32/12.55 cnf(matrix-2543, plain, ( ~class_Divides_Oring__div(_u3723) | ( c_Divides_Odiv__class_Omod(_u3723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3723), _u3724), _u3725), _u3726) = c_Divides_Odiv__class_Omod(_u3723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3723), c_Divides_Odiv__class_Omod(_u3723, _u3724, _u3726)), c_Divides_Odiv__class_Omod(_u3723, _u3725, _u3726)), _u3726)) )).
% 12.32/12.55 cnf(matrix-2544, plain, ( ~class_Divides_Oring__div(_u3727) | ( c_Divides_Odiv__class_Omod(_u3727, _u3728, _u3729) != c_Divides_Odiv__class_Omod(_u3727, _u3730, _u3729)) | ( c_Divides_Odiv__class_Omod(_u3727, _u3731, _u3729) != c_Divides_Odiv__class_Omod(_u3727, _u3732, _u3729)) | ( c_Divides_Odiv__class_Omod(_u3727, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3727), _u3728), _u3731), _u3729) = c_Divides_Odiv__class_Omod(_u3727, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3727), _u3730), _u3732), _u3729)) )).
% 12.32/12.55 cnf(matrix-2545, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3733) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2546, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3734), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3734) )).
% 12.32/12.55 cnf(matrix-2547, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3735), _u3735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2548, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3736), _u3737) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3737), _u3736) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3736 = _u3737) )).
% 12.32/12.55 cnf(matrix-2549, 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, _u3738)), _u3739)), hAPP(c_Nat_OSuc, _u3740)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), _u3739)), _u3740)) )).
% 12.32/12.55 cnf(matrix-2550, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3741)), hAPP(c_Nat_OSuc, _u3742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3741), _u3742)) )).
% 12.32/12.55 cnf(matrix-2551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3743), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3743), _u3745)), _u3744)) )).
% 12.32/12.55 cnf(matrix-2552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3746), _u3747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3746), _u3748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3748), _u3747)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3748), _u3746))) )).
% 12.32/12.55 cnf(matrix-2553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3751), _u3753)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3751, _u3753) = _u3751) )).
% 12.32/12.55 cnf(matrix-2554, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3752), _u3754)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3752, _u3754) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3752), _u3754), _u3754)) )).
% 12.32/12.55 cnf(matrix-2555, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3755), _u3756)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3755, _u3756) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3755), _u3756), _u3756)) )).
% 12.32/12.55 cnf(matrix-2556, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3757), _u3758)), _u3758) = _u3757) )).
% 12.32/12.55 cnf(matrix-2557, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3759), _u3760)), _u3759) = _u3760) )).
% 12.32/12.55 cnf(matrix-2558, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3761), _u3762)), _u3763) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3762), _u3763))) )).
% 12.32/12.55 cnf(matrix-2559, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3764), _u3765)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3764), _u3766)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3766)) )).
% 12.32/12.55 cnf(matrix-2560, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3767), _u3768)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3768)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769)) )).
% 12.32/12.55 cnf(matrix-2561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3771), _u3770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3772), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3771), _u3772)) )).
% 12.32/12.55 cnf(matrix-2562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3770), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3771), _u3772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3771), _u3770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3772), _u3770))) )).
% 12.32/12.55 cnf(matrix-2563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3773), _u3774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3773), _u3775)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3774), _u3773)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3773)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3774), _u3775)) )).
% 12.32/12.55 cnf(matrix-2564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3777), _u3776) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3776)) | ( _u3777 = _u3778) )).
% 12.32/12.55 cnf(matrix-2565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3776), _u3778)) | ( _u3777 != _u3778) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3777), _u3776) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3776)) )).
% 12.32/12.55 cnf(matrix-2566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3780), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3780), _u3779)) = _u3779) )).
% 12.32/12.55 cnf(matrix-2567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3781), _u3782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3781), _u3783)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3782), _u3783))) )).
% 12.32/12.55 cnf(matrix-2568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3784), _u3785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3785)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3784))) )).
% 12.32/12.55 cnf(matrix-2569, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3787), _u3788)), _u3787)) )).
% 12.32/12.55 cnf(matrix-2570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3789), _u3790)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3790, _u3789) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3790), _u3789), _u3789)) )).
% 12.32/12.55 cnf(matrix-2571, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3792), _u3793)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), _u3792)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3791), _u3793))) )).
% 12.32/12.55 cnf(matrix-2572, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3794), _u3795)), _u3796) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3794), _u3796)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3795), _u3796))) )).
% 12.32/12.55 cnf(matrix-2573, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3797), _u3798)), _u3799) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3797), _u3799)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3798), _u3799))) )).
% 12.32/12.55 cnf(matrix-2574, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3801), _u3802)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), _u3801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3800), _u3802))) )).
% 12.32/12.55 cnf(matrix-2575, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3803), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3804, _u3805)), _u3805) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3803), _u3804), _u3805)) )).
% 12.32/12.55 cnf(matrix-2576, 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, _u3806, _u3807)), _u3808), _u3807) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3806), _u3808), _u3807)) )).
% 12.32/12.55 cnf(matrix-2577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3809), _u3810)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3810), _u3809)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3810)), hAPP(c_Int_Onat, _u3809))) )).
% 12.32/12.55 cnf(matrix-2578, plain, ( ~hBOOL(hAPP(_u3814, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3818)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3818), _u3816)) | hBOOL(hAPP(_u3814, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3816)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3818)))) )).
% 12.32/12.55 cnf(matrix-2579, plain, ( ~hBOOL(hAPP(_u3814, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3818)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3816), _u3818)) | hBOOL(hAPP(_u3814, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2580, plain, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3817), _u3819)) )).
% 12.32/12.55 cnf(matrix-2581, plain, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3817)) | ~hBOOL(hAPP(_u3815, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2582, plain, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | ~hBOOL(hAPP(_u3815, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3819)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3817), _u3819)) )).
% 12.32/12.55 cnf(matrix-2583, plain, ( hBOOL(hAPP(_u3815, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), _u3819)))) | ~hBOOL(hAPP(_u3815, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3819)))) | ~hBOOL(hAPP(_u3815, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2584, plain, ( ~class_Groups_Oordered__ab__group__add(_u3820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), _u3821), _u3822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3820), _u3821), _u3822)), c_Groups_Ozero__class_Ozero(_u3820))) )).
% 12.32/12.55 cnf(matrix-2585, plain, ( ~class_Groups_Oordered__ab__group__add(_u3820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3820), _u3821), _u3822)), c_Groups_Ozero__class_Ozero(_u3820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3820), _u3821), _u3822)) )).
% 12.32/12.55 cnf(matrix-2586, plain, ( ~class_Groups_Oordered__ab__group__add(_u3823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), _u3824), _u3825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3823), _u3824), _u3825)), c_Groups_Ozero__class_Ozero(_u3823))) )).
% 12.32/12.55 cnf(matrix-2587, plain, ( ~class_Groups_Oordered__ab__group__add(_u3823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3823), _u3824), _u3825)), c_Groups_Ozero__class_Ozero(_u3823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3823), _u3824), _u3825)) )).
% 12.32/12.55 cnf(matrix-2588, plain, ( ~class_Rings_Oring(_u3826) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3827), _u3828)), _u3829) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3830), _u3828)), _u3831)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3826), _u3827), _u3830)), _u3828)), _u3829) = _u3831) )).
% 12.32/12.55 cnf(matrix-2589, plain, ( ~class_Rings_Oring(_u3826) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3826), _u3827), _u3830)), _u3828)), _u3829) != _u3831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3827), _u3828)), _u3829) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3826), _u3830), _u3828)), _u3831)) )).
% 12.32/12.55 cnf(matrix-2590, plain, ( ~class_Rings_Oring(_u3832) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3833), _u3834)), _u3835) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3836), _u3834)), _u3837)) | ( _u3835 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3832), _u3836), _u3833)), _u3834)), _u3837)) )).
% 12.32/12.55 cnf(matrix-2591, plain, ( ~class_Rings_Oring(_u3832) | ( _u3835 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3832), _u3836), _u3833)), _u3834)), _u3837)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3833), _u3834)), _u3835) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3832), _u3836), _u3834)), _u3837)) )).
% 12.32/12.55 cnf(matrix-2592, plain, ( ~class_Groups_Ogroup__add(_u3838) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3838), c_Groups_Ozero__class_Ozero(_u3838)), _u3839) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3838), _u3839)) )).
% 12.32/12.55 cnf(matrix-2593, plain, ( ~class_Groups_Ogroup__add(_u3840) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3840), _u3841), _u3842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3840), _u3841), hAPP(c_Groups_Ouminus__class_Ouminus(_u3840), _u3842))) )).
% 12.32/12.55 cnf(matrix-2594, plain, ( ~class_Groups_Oab__group__add(_u3843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3843), _u3844), _u3845) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), _u3844), hAPP(c_Groups_Ouminus__class_Ouminus(_u3843), _u3845))) )).
% 12.32/12.55 cnf(matrix-2595, plain, ( ~class_Rings_Ocomm__ring__1(_u3846) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3846), _u3847), _u3848) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3846), _u3847), hAPP(c_Groups_Ouminus__class_Ouminus(_u3846), _u3848))) )).
% 12.32/12.55 cnf(matrix-2596, plain, ( ~class_Groups_Ogroup__add(_u3849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3849), _u3850), hAPP(c_Groups_Ouminus__class_Ouminus(_u3849), _u3851)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3849), _u3850), _u3851)) )).
% 12.32/12.55 cnf(matrix-2597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3854), _u3856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3854), _u3856)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3855), _u3857)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3855), _u3857)) )).
% 12.32/12.55 cnf(matrix-2599, 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), _u3860), _u3862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3860)) )).
% 12.32/12.55 cnf(matrix-2600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), _u3861)) | 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), _u3861), _u3863))) )).
% 12.32/12.55 cnf(matrix-2601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3864)), _u3865)) )).
% 12.32/12.55 cnf(matrix-2602, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3866), _u3867)), hAPP(c_Nat_OSuc, _u3866))) )).
% 12.32/12.55 cnf(matrix-2603, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3868), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3868), _u3869)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2604, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3874) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), _u3874)) )).
% 12.32/12.55 cnf(matrix-2605, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3873), _u3875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3875) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3876), _u3877)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3876), _u3877) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3881), _u3885)), _u3883)) )).
% 12.32/12.55 cnf(matrix-2608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3886)), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886))) )).
% 12.32/12.55 cnf(matrix-2609, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3887), _u3888)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3887), _u3888)) = _u3887) )).
% 12.32/12.55 cnf(matrix-2610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3889), _u3890)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3890)), _u3889) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3890), _u3889))) )).
% 12.32/12.55 cnf(matrix-2611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3892), _u3891)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3893), _u3891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), _u3893)) )).
% 12.32/12.55 cnf(matrix-2612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3891), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), _u3893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3892), _u3891)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3893), _u3891))) )).
% 12.32/12.55 cnf(matrix-2613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3896), _u3894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3894), _u3896)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3895), _u3896))) )).
% 12.32/12.55 cnf(matrix-2614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3897), _u3898)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3898), _u3899)), _u3897) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3898), _u3897)), _u3899)) )).
% 12.32/12.55 cnf(matrix-2615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3900), _u3901)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3901), _u3900)), _u3902) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3901), _u3902)), _u3900)) )).
% 12.32/12.55 cnf(matrix-2616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3903), _u3904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3905), _u3904)), _u3903) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3904), _u3903))) )).
% 12.32/12.55 cnf(matrix-2617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3906), _u3907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3907), _u3906) != _u3908) | ( _u3907 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3908), _u3906)) )).
% 12.32/12.55 cnf(matrix-2618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3906), _u3907)) | ( _u3907 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3908), _u3906)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3907), _u3906) = _u3908) )).
% 12.32/12.55 cnf(matrix-2619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3909), _u3910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), _u3909)), _u3909) = _u3910) )).
% 12.32/12.55 cnf(matrix-2620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3912), _u3911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3913), _u3911)), _u3912)) )).
% 12.32/12.55 cnf(matrix-2621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3913), _u3911)), _u3912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3912), _u3911))) )).
% 12.32/12.55 cnf(matrix-2622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3914), _u3915)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3916), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3914)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3916), _u3915)), _u3914)) )).
% 12.32/12.55 cnf(matrix-2623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3917), _u3918)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3917), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3918), _u3917)) = _u3918) )).
% 12.32/12.55 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3919), _u3920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3921), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3920), _u3921)), _u3919))) )).
% 12.32/12.55 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3925), _u3927)), _u3929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3925), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3929), _u3927))) )).
% 12.32/12.55 cnf(matrix-2626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3926), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3930), _u3928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3928)), _u3930)) )).
% 12.32/12.55 cnf(matrix-2627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3932), _u3931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3933), _u3931)), _u3932)) )).
% 12.32/12.55 cnf(matrix-2628, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3934), _u3935) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3934), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3935))) )).
% 12.32/12.55 cnf(matrix-2629, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3936), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3937)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3936), _u3937)) )).
% 12.32/12.55 cnf(matrix-2630, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3938), hAPP(c_Nat_OSuc, _u3939)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3938), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3939)) )).
% 12.32/12.55 cnf(matrix-2631, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3940)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3940) )).
% 12.32/12.55 cnf(matrix-2632, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3941), _u3942)), _u3942) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3941), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3941, _u3942))) )).
% 12.32/12.55 cnf(matrix-2633, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3943), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3944), _u3943)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3944), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3944, _u3943))) )).
% 12.32/12.55 cnf(matrix-2634, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3945, _u3946) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3945), _u3946)), _u3946))) )).
% 12.32/12.55 cnf(matrix-2635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3947), _u3948)) | ( c_Nat__Transfer_Otsub(_u3948, _u3947) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3948), _u3947)) )).
% 12.32/12.55 cnf(matrix-2636, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3949), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3950)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3949), _u3950))) )).
% 12.32/12.55 cnf(matrix-2637, plain, ( ~class_Rings_Oordered__ring(_u3951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3952), _u3953)), _u3954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3955), _u3953)), _u3956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3951), _u3952), _u3955)), _u3953)), _u3954)), _u3956)) )).
% 12.32/12.55 cnf(matrix-2638, plain, ( ~class_Rings_Oordered__ring(_u3951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3951), _u3952), _u3955)), _u3953)), _u3954)), _u3956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3952), _u3953)), _u3954)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3951), _u3955), _u3953)), _u3956))) )).
% 12.32/12.55 cnf(matrix-2639, plain, ( ~class_Rings_Oordered__ring(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3958), _u3959)), _u3960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3961), _u3959)), _u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), _u3960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3957), _u3961), _u3958)), _u3959)), _u3962))) )).
% 12.32/12.55 cnf(matrix-2640, plain, ( ~class_Rings_Oordered__ring(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), _u3960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3957), _u3961), _u3958)), _u3959)), _u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3957), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3958), _u3959)), _u3960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3957), _u3961), _u3959)), _u3962))) )).
% 12.32/12.55 cnf(matrix-2641, plain, ( ~class_Rings_Oordered__ring(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3964), _u3965)), _u3966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3967), _u3965)), _u3968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3963), _u3964), _u3967)), _u3965)), _u3966)), _u3968)) )).
% 12.32/12.55 cnf(matrix-2642, plain, ( ~class_Rings_Oordered__ring(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3963), _u3964), _u3967)), _u3965)), _u3966)), _u3968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3964), _u3965)), _u3966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3963), _u3967), _u3965)), _u3968))) )).
% 12.32/12.55 cnf(matrix-2643, plain, ( ~class_Rings_Oordered__ring(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3970), _u3971)), _u3972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3973), _u3971)), _u3974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3969), _u3973), _u3970)), _u3971)), _u3974))) )).
% 12.32/12.55 cnf(matrix-2644, plain, ( ~class_Rings_Oordered__ring(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3969), _u3973), _u3970)), _u3971)), _u3974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3970), _u3971)), _u3972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3969), _u3973), _u3971)), _u3974))) )).
% 12.32/12.55 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3975), hAPP(c_Nat_OSuc, _u3976))), _u3975)) )).
% 12.32/12.55 cnf(matrix-2646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3977)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3977), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3977) )).
% 12.32/12.55 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(_u3983, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3985), _u3987)) | hBOOL(hAPP(_u3983, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2648, plain, ( ~hBOOL(hAPP(_u3983, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3987))) | ( _u3985 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3987), _u3978)) | hBOOL(hAPP(_u3983, _u3978)) )).
% 12.32/12.55 cnf(matrix-2649, plain, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3986), _u3988)) | ( _u3986 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3988), skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.55 cnf(matrix-2650, plain, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3986), _u3988)) | ~hBOOL(hAPP(_u3984, skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.55 cnf(matrix-2651, plain, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | ~hBOOL(hAPP(_u3984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3986 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3988), skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.55 cnf(matrix-2652, plain, ( hBOOL(hAPP(_u3984, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3986), _u3988))) | ~hBOOL(hAPP(_u3984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3984, skolem75(_u3988, _u3986, _u3984))) )).
% 12.32/12.55 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(_u3994, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3996), _u3998))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3996), _u3998)) | hBOOL(hAPP(_u3994, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(_u3994, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3996), _u3998))) | ( _u3996 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3998), _u3989)) | hBOOL(hAPP(_u3994, _u3989)) )).
% 12.32/12.55 cnf(matrix-2655, plain, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3997), _u3999)) | ( _u3997 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3999), skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.55 cnf(matrix-2656, plain, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3997), _u3999)) | ~hBOOL(hAPP(_u3995, skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.55 cnf(matrix-2657, plain, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | ~hBOOL(hAPP(_u3995, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3997 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3999), skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.55 cnf(matrix-2658, plain, ( hBOOL(hAPP(_u3995, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3997), _u3999))) | ~hBOOL(hAPP(_u3995, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3995, skolem76(_u3999, _u3997, _u3995))) )).
% 12.32/12.55 cnf(matrix-2659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4002), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4004), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4002), _u4004)) )).
% 12.32/12.55 cnf(matrix-2660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4003), _u4005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4005), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.55 cnf(matrix-2661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4006), _u4007)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4007), _u4006))), _u4008) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4007)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4006), _u4008))) )).
% 12.32/12.55 cnf(matrix-2662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4009), _u4010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4011), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4010), _u4009))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), _u4009)), hAPP(c_Nat_OSuc, _u4010))) )).
% 12.32/12.55 cnf(matrix-2663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4012), _u4013)) | ~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), _u4013), _u4014)), _u4015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4012), _u4014)), _u4016))) | 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), _u4013), _u4012)), _u4014)), _u4015)), _u4016)) )).
% 12.32/12.55 cnf(matrix-2664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4012), _u4013)) | ~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), _u4013), _u4012)), _u4014)), _u4015)), _u4016)) | 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), _u4013), _u4014)), _u4015)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4012), _u4014)), _u4016))) )).
% 12.32/12.55 cnf(matrix-2665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4017), _u4018)) | ( 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), _u4018), _u4019)), _u4020)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4017), _u4019)), _u4021)) = 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), _u4018), _u4017)), _u4019)), _u4020)), _u4021)) )).
% 12.32/12.55 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4022), _u4023)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4023), _u4024)), _u4025) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4022), _u4024)), _u4026)) | ( 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), _u4023), _u4022)), _u4024)), _u4025) = _u4026) )).
% 12.32/12.55 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4022), _u4023)) | ( 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), _u4023), _u4022)), _u4024)), _u4025) != _u4026) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4023), _u4024)), _u4025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4022), _u4024)), _u4026)) )).
% 12.32/12.55 cnf(matrix-2668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4027), _u4028)) | ~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), _u4027), _u4029)), _u4030)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4028), _u4029)), _u4031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4030), 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), _u4028), _u4027)), _u4029)), _u4031))) )).
% 12.32/12.55 cnf(matrix-2669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4027), _u4028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4030), 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), _u4028), _u4027)), _u4029)), _u4031))) | 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), _u4027), _u4029)), _u4030)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4028), _u4029)), _u4031))) )).
% 12.32/12.55 cnf(matrix-2670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4032), _u4033)) | ( 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), _u4032), _u4034)), _u4035)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4033), _u4034)), _u4036)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4035), 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), _u4033), _u4032)), _u4034)), _u4036))) )).
% 12.32/12.55 cnf(matrix-2671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4037), _u4038)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4037), _u4039)), _u4040) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4038), _u4039)), _u4041)) | ( _u4040 = 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), _u4038), _u4037)), _u4039)), _u4041)) )).
% 12.32/12.55 cnf(matrix-2672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4037), _u4038)) | ( _u4040 != 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), _u4038), _u4037)), _u4039)), _u4041)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4037), _u4039)), _u4040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4038), _u4039)), _u4041)) )).
% 12.32/12.55 cnf(matrix-2673, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4044, _u4046) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4044, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4046)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2674, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, _u4047) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4047)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4045, _u4047)), _u4047)) )).
% 12.32/12.55 cnf(matrix-2675, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4050, _u4052) != 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), _u4050), _u4052) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2676, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4051, _u4053) = 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), _u4051), _u4053) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4053), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4051, _u4053))) )).
% 12.32/12.55 cnf(matrix-2677, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4054, _u4055) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4054), _u4055)), _u4055))) )).
% 12.32/12.55 cnf(matrix-2678, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4056), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4057), _u4056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4057), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4057, _u4056))) )).
% 12.32/12.55 cnf(matrix-2679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4060), _u4062)) | ( c_Nat__Transfer_Otsub(_u4062, _u4060) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4062), _u4060)) )).
% 12.32/12.55 cnf(matrix-2680, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4061), _u4063)) | ( c_Nat__Transfer_Otsub(_u4063, _u4061) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4064)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4064) )).
% 12.32/12.55 cnf(matrix-2682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4065)) | ( _u4065 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4065), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-2683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4066), _u4067)) | ~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), _u4067), _u4068)), _u4069)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4068)), _u4070))) | 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), _u4067), _u4066)), _u4068)), _u4069)), _u4070)) )).
% 12.32/12.55 cnf(matrix-2684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4066), _u4067)) | ~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), _u4067), _u4066)), _u4068)), _u4069)), _u4070)) | 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), _u4067), _u4068)), _u4069)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4068)), _u4070))) )).
% 12.32/12.55 cnf(matrix-2685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4071), _u4072)) | ~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), _u4071), _u4073)), _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4072), _u4073)), _u4075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4074), 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), _u4072), _u4071)), _u4073)), _u4075))) )).
% 12.32/12.55 cnf(matrix-2686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4071), _u4072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4074), 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), _u4072), _u4071)), _u4073)), _u4075))) | 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), _u4071), _u4073)), _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4072), _u4073)), _u4075))) )).
% 12.32/12.55 cnf(matrix-2687, plain, ( ( _u4078 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4078), _u4080) = _u4080) )).
% 12.32/12.55 cnf(matrix-2688, plain, ( ( _u4079 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4079), _u4081) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4079), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4081))) )).
% 12.32/12.55 cnf(matrix-2689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4083), _u4082)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4083), _u4082) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4083), _u4082)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4083), _u4082) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4083), _u4082)), _u4082))) )).
% 12.32/12.55 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4085), _u4084)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4085), _u4084) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4085), _u4084)), _u4084))) )).
% 12.32/12.55 cnf(matrix-2692, plain, ( ( _u4088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4088), _u4090) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2693, plain, ( ( _u4089 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4089), _u4091) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4091))) )).
% 12.32/12.55 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4093)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4093), _u4092)), _u4093) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4093), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4092), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.55 cnf(matrix-2695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4098)) | ~hBOOL(hAPP(_u4097, _u4095)) | hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4095), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4098), _u4096)))) | hBOOL(hAPP(_u4097, skolem77(_u4098, _u4097, _u4096))) )).
% 12.32/12.55 cnf(matrix-2696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4098)) | ~hBOOL(hAPP(_u4097, _u4095)) | hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4095), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4098), _u4096)))) | ~hBOOL(hAPP(_u4097, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem77(_u4098, _u4097, _u4096)), _u4096))) )).
% 12.32/12.55 cnf(matrix-2697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4101), 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), _u4101), _u4100))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4099)))) )).
% 12.32/12.55 cnf(matrix-2698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4103), 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), _u4103), _u4104))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4102))), _u4104)) )).
% 12.32/12.55 cnf(matrix-2699, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4106, _u4107) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4108, _u4107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4108), _u4106)) | ( _u4106 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4107), skolem78(_u4108, _u4107, _u4106)))) )).
% 12.32/12.55 cnf(matrix-2700, plain, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4112, _u4111, _u4110)), _u4110)) )).
% 12.32/12.55 cnf(matrix-2701, plain, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u4111, skolem79(_u4112, _u4111, _u4110))) )).
% 12.32/12.55 cnf(matrix-2702, plain, ( ~hBOOL(hAPP(_u4111, _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4112), _u4110)) | hBOOL(hAPP(_u4111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4111, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem79(_u4112, _u4111, _u4110)), _u4110))) )).
% 12.32/12.55 cnf(matrix-2703, 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), _u4113))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4113) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4113)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-2704, plain, ( ( _u4116 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4118, _u4116) = _u4118) )).
% 12.32/12.55 cnf(matrix-2705, plain, ( ( _u4117 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4119, _u4117) = c_Nitpick_Onat__gcd(_u4117, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4119, _u4117))) )).
% 12.32/12.55 cnf(matrix-2706, plain, ( ~class_Rings_Oring__1(_u4120) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4120), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4121), _u4122)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4120), hAPP(c_Int_Oring__1__class_Oof__int(_u4120), _u4121)), _u4122)) )).
% 12.32/12.55 cnf(matrix-2707, plain, ( ~class_Int_Onumber__ring(_u4123) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4123), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4124)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4124)) )).
% 12.32/12.55 cnf(matrix-2708, plain, ( ~class_Int_Onumber__ring(_u4125) | ~class_Int_Oring__char__0(_u4125) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4126) != hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4127)) | ( _u4126 = _u4127) )).
% 12.32/12.55 cnf(matrix-2709, plain, ( ~class_Int_Onumber__ring(_u4125) | ~class_Int_Oring__char__0(_u4125) | ( _u4126 != _u4127) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4126) = hAPP(c_Int_Onumber__class_Onumber__of(_u4125), _u4127)) )).
% 12.32/12.55 cnf(matrix-2710, plain, ( ~class_Int_Onumber(_u4128) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129) != _u4130) | ( _u4130 = hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129)) )).
% 12.32/12.55 cnf(matrix-2711, plain, ( ~class_Int_Onumber(_u4128) | ( _u4130 != hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4128), _u4129) = _u4130) )).
% 12.32/12.55 cnf(matrix-2712, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4131) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4131), hAPP(c_Groups_Oabs__class_Oabs(_u4131), _u4132)) = hAPP(c_Groups_Oabs__class_Oabs(_u4131), _u4132)) )).
% 12.32/12.55 cnf(matrix-2713, 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), _u4133)), _u4134))) )).
% 12.32/12.55 cnf(matrix-2714, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4135), hAPP(c_Groups_Oabs__class_Oabs(_u4135), _u4136)), _u4137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4135), _u4136), _u4137)) )).
% 12.32/12.55 cnf(matrix-2715, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4139), hAPP(c_Groups_Oabs__class_Oabs(_u4138), _u4139))) )).
% 12.32/12.55 cnf(matrix-2716, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4140) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4140), c_Groups_Ozero__class_Ozero(_u4140)) = c_Groups_Ozero__class_Ozero(_u4140)) )).
% 12.32/12.55 cnf(matrix-2717, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4141) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4141), _u4142) != c_Groups_Ozero__class_Ozero(_u4141)) | ( _u4142 = c_Groups_Ozero__class_Ozero(_u4141)) )).
% 12.32/12.55 cnf(matrix-2718, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4141) | ( _u4142 != c_Groups_Ozero__class_Ozero(_u4141)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4141), _u4142) = c_Groups_Ozero__class_Ozero(_u4141)) )).
% 12.32/12.55 cnf(matrix-2719, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4143) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4144)), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4145))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4144)), hAPP(c_Groups_Oabs__class_Oabs(_u4143), _u4145))) )).
% 12.32/12.55 cnf(matrix-2720, plain, ( ~class_Rings_Olinordered__idom(_u4146) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4146), hAPP(c_Groups_Oabs__class_Oabs(_u4146), _u4147)), hAPP(c_Groups_Oabs__class_Oabs(_u4146), _u4147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4146), _u4147), _u4147)) )).
% 12.32/12.55 cnf(matrix-2721, plain, ( ~class_Rings_Olinordered__idom(_u4148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4148), _u4149), _u4150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4148), hAPP(c_Groups_Oabs__class_Oabs(_u4148), _u4149)), hAPP(c_Groups_Oabs__class_Oabs(_u4148), _u4150))) )).
% 12.32/12.55 cnf(matrix-2722, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4151) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4151), _u4152), _u4153)) = hAPP(c_Groups_Oabs__class_Oabs(_u4151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4151), _u4153), _u4152))) )).
% 12.32/12.55 cnf(matrix-2723, plain, ( ~class_Rings_Olinordered__idom(_u4154) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4154), c_Groups_Oone__class_Oone(_u4154)) = c_Groups_Oone__class_Oone(_u4154)) )).
% 12.32/12.55 cnf(matrix-2724, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4155) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4155), hAPP(c_Groups_Ouminus__class_Ouminus(_u4155), _u4156)) = hAPP(c_Groups_Oabs__class_Oabs(_u4155), _u4156)) )).
% 12.32/12.55 cnf(matrix-2725, plain, ( ~class_Rings_Ocomm__semiring__1(_u4157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4157), _u4158), _u4159)), _u4160) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4157), hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), _u4158), _u4160)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4157), _u4159), _u4160))) )).
% 12.32/12.55 cnf(matrix-2726, plain, ( ~class_Rings_Olinordered__idom(_u4161) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4161), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4161), _u4162)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4161), _u4162)) )).
% 12.32/12.55 cnf(matrix-2727, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4163)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4163)) )).
% 12.32/12.55 cnf(matrix-2728, plain, ( ~class_Rings_Ocomm__semiring__1(_u4164) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), _u4165), _u4166)), _u4167) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4164), _u4165), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4166), _u4167))) )).
% 12.32/12.55 cnf(matrix-2729, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4168), _u4169)), _u4170) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4169), _u4170))) )).
% 12.32/12.55 cnf(matrix-2730, plain, ( ~class_Rings_Ocomm__semiring__1(_u4171) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4171), _u4172), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4172) )).
% 12.32/12.55 cnf(matrix-2731, 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, _u4173, _u4174)), _u4175), _u4174) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4173), _u4175), _u4174)) )).
% 12.32/12.55 cnf(matrix-2732, plain, ( ~class_Int_Onumber__ring(_u4176) | ~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), _u4177))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4176), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4177)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4176), _u4177)) )).
% 12.32/12.55 cnf(matrix-2733, plain, ( ~class_Int_Onumber__ring(_u4176) | 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), _u4177))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4176), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4177)) = c_Groups_Ozero__class_Ozero(_u4176)) )).
% 12.32/12.55 cnf(matrix-2734, plain, ( ~class_Int_Onumber__ring(_u4178) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4178), _u4179) = hAPP(c_Int_Oring__1__class_Oof__int(_u4178), _u4179)) )).
% 12.32/12.55 cnf(matrix-2735, plain, ( ~class_Int_Onumber__ring(_u4180) | ~class_Rings_Olinordered__idom(_u4180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)), c_Groups_Ozero__class_Ozero(_u4180))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181))) )).
% 12.32/12.55 cnf(matrix-2736, plain, ( ~class_Int_Onumber__ring(_u4180) | ~class_Rings_Olinordered__idom(_u4180) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)), c_Groups_Ozero__class_Ozero(_u4180))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4180), hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4180), _u4181)) )).
% 12.32/12.55 cnf(matrix-2737, 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), _u4184)), _u4186))) | ( _u4184 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2738, 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), _u4185)), _u4187))) | ( _u4185 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2739, 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), _u4185)), _u4187))) | ( _u4187 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2740, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4188), c_Groups_Ozero__class_Ozero(_u4188)), _u4189)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4188), _u4189) = _u4189) )).
% 12.32/12.55 cnf(matrix-2741, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(c_Groups_Oabs__class_Oabs(_u4190), _u4191)), c_Groups_Ozero__class_Ozero(_u4190))) | ( _u4191 = c_Groups_Ozero__class_Ozero(_u4190)) )).
% 12.32/12.55 cnf(matrix-2742, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4190) | ( _u4191 != c_Groups_Ozero__class_Ozero(_u4190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(c_Groups_Oabs__class_Oabs(_u4190), _u4191)), c_Groups_Ozero__class_Ozero(_u4190))) )).
% 12.32/12.55 cnf(matrix-2743, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4192), c_Groups_Ozero__class_Ozero(_u4192)), hAPP(c_Groups_Oabs__class_Oabs(_u4192), _u4193))) )).
% 12.32/12.55 cnf(matrix-2744, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4194), hAPP(c_Groups_Oabs__class_Oabs(_u4194), _u4195)), c_Groups_Ozero__class_Ozero(_u4194))) )).
% 12.32/12.55 cnf(matrix-2745, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4196), c_Groups_Ozero__class_Ozero(_u4196)), hAPP(c_Groups_Oabs__class_Oabs(_u4196), _u4197))) | ( _u4197 != c_Groups_Ozero__class_Ozero(_u4196)) )).
% 12.32/12.55 cnf(matrix-2746, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4196) | ( _u4197 = c_Groups_Ozero__class_Ozero(_u4196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4196), c_Groups_Ozero__class_Ozero(_u4196)), hAPP(c_Groups_Oabs__class_Oabs(_u4196), _u4197))) )).
% 12.32/12.55 cnf(matrix-2747, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4198), c_Groups_Ozero__class_Ozero(_u4198)), _u4199)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199) = _u4199) )).
% 12.32/12.55 cnf(matrix-2748, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4200), hAPP(c_Groups_Oabs__class_Oabs(_u4200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4200), _u4201), _u4202))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4200), hAPP(c_Groups_Oabs__class_Oabs(_u4200), _u4201)), hAPP(c_Groups_Oabs__class_Oabs(_u4200), _u4202)))) )).
% 12.32/12.55 cnf(matrix-2749, plain, ( ~class_Rings_Olinordered__idom(_u4203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4204)), _u4205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4206)), _u4207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4204)), hAPP(c_Groups_Oabs__class_Oabs(_u4203), _u4206))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4203), _u4205), _u4207))) )).
% 12.32/12.55 cnf(matrix-2750, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4208), hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209)), hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4210))), hAPP(c_Groups_Oabs__class_Oabs(_u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4208), _u4210), _u4209)))) )).
% 12.32/12.55 cnf(matrix-2751, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4211), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4211), hAPP(c_Groups_Oabs__class_Oabs(_u4211), _u4212)), hAPP(c_Groups_Oabs__class_Oabs(_u4211), _u4213))), hAPP(c_Groups_Oabs__class_Oabs(_u4211), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4211), _u4212), _u4213)))) )).
% 12.32/12.55 cnf(matrix-2752, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4214) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(c_Groups_Oabs__class_Oabs(_u4214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4214), hAPP(c_Groups_Oabs__class_Oabs(_u4214), _u4215)), hAPP(c_Groups_Oabs__class_Oabs(_u4214), _u4216)))), hAPP(c_Groups_Oabs__class_Oabs(_u4214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4214), _u4215), _u4216)))) )).
% 12.32/12.55 cnf(matrix-2753, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), hAPP(c_Groups_Ouminus__class_Ouminus(_u4217), _u4218)), hAPP(c_Groups_Oabs__class_Oabs(_u4217), _u4218))) )).
% 12.32/12.55 cnf(matrix-2754, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), _u4220), _u4221)) )).
% 12.32/12.55 cnf(matrix-2755, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Ouminus__class_Ouminus(_u4219), _u4220)), _u4221)) )).
% 12.32/12.55 cnf(matrix-2756, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), _u4220), _u4221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Ouminus__class_Ouminus(_u4219), _u4220)), _u4221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4219), hAPP(c_Groups_Oabs__class_Oabs(_u4219), _u4220)), _u4221)) )).
% 12.32/12.55 cnf(matrix-2757, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), _u4223), _u4224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), hAPP(c_Groups_Ouminus__class_Ouminus(_u4222), _u4223)), _u4224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4222), hAPP(c_Groups_Oabs__class_Oabs(_u4222), _u4223)), _u4224)) )).
% 12.32/12.55 cnf(matrix-2758, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(c_Groups_Oabs__class_Oabs(_u4225), _u4226)), _u4227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(c_Groups_Ouminus__class_Ouminus(_u4225), _u4226)), _u4227)) )).
% 12.32/12.55 cnf(matrix-2759, plain, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), _u4229), _u4230)) )).
% 12.32/12.55 cnf(matrix-2760, plain, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229)), _u4230)) )).
% 12.32/12.55 cnf(matrix-2761, plain, ( ~class_Rings_Olinordered__idom(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), _u4229), _u4230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229)), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4228), hAPP(c_Groups_Oabs__class_Oabs(_u4228), _u4229)), _u4230)) )).
% 12.32/12.55 cnf(matrix-2762, plain, ( ~class_Int_Onumber(_u4231) | ~class_Orderings_Olinorder(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232))) )).
% 12.32/12.55 cnf(matrix-2763, plain, ( ~class_Int_Onumber(_u4231) | ~class_Orderings_Olinorder(_u4231) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4232)), hAPP(c_Int_Onumber__class_Onumber__of(_u4231), _u4233))) )).
% 12.32/12.55 cnf(matrix-2764, plain, ( ~class_Int_Onumber(_u4234) | ~class_Rings_Osemiring(_u4234) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4234), _u4235), _u4236)), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4234), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), _u4235), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4234), _u4236), hAPP(c_Int_Onumber__class_Onumber__of(_u4234), _u4237)))) )).
% 12.32/12.55 cnf(matrix-2765, plain, ( ~class_Int_Onumber(_u4238) | ~class_Rings_Osemiring(_u4238) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), _u4240), _u4241)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), _u4240)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4238), hAPP(c_Int_Onumber__class_Onumber__of(_u4238), _u4239)), _u4241))) )).
% 12.32/12.55 cnf(matrix-2766, plain, ( ~class_Rings_Ocomm__semiring__1(_u4242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), hAPP(c_Nat_OSuc, _u4244)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4242), _u4243), hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), _u4244))) )).
% 12.32/12.55 cnf(matrix-2767, plain, ( ~class_Rings_Ocomm__semiring__1(_u4245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4245), _u4246), hAPP(hAPP(c_Power_Opower__class_Opower(_u4245), _u4246), _u4247)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4245), _u4246), hAPP(c_Nat_OSuc, _u4247))) )).
% 12.32/12.55 cnf(matrix-2768, plain, ( ~class_Rings_Ocomm__semiring__1(_u4248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4248), hAPP(hAPP(c_Power_Opower__class_Opower(_u4248), _u4249), _u4250)), _u4249) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4248), _u4249), hAPP(c_Nat_OSuc, _u4250))) )).
% 12.32/12.55 cnf(matrix-2769, plain, ( ~class_Int_Onumber(_u4251) | ~class_Rings_Oring(_u4251) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4251), _u4252), _u4253)), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), _u4252), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4251), _u4253), hAPP(c_Int_Onumber__class_Onumber__of(_u4251), _u4254)))) )).
% 12.32/12.55 cnf(matrix-2770, plain, ( ~class_Int_Onumber(_u4255) | ~class_Rings_Oring(_u4255) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4255), _u4257), _u4258)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4255), hAPP(c_Int_Onumber__class_Onumber__of(_u4255), _u4256)), _u4258))) )).
% 12.32/12.55 cnf(matrix-2771, plain, ( ~class_Int_Onumber__ring(_u4259) | ~class_Rings_Olinordered__idom(_u4259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4260)), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4260), _u4261)) )).
% 12.32/12.55 cnf(matrix-2772, plain, ( ~class_Int_Onumber__ring(_u4259) | ~class_Rings_Olinordered__idom(_u4259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4260), _u4261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4260)), hAPP(c_Int_Onumber__class_Onumber__of(_u4259), _u4261))) )).
% 12.32/12.55 cnf(matrix-2773, plain, ( ~class_Rings_Ocomm__semiring__1(_u4262) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4262)) )).
% 12.32/12.55 cnf(matrix-2774, plain, ( ~class_Rings_Ocomm__semiring__1(_u4264) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4264), hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), _u4266)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), _u4267)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), _u4265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4266), _u4267))) )).
% 12.32/12.55 cnf(matrix-2775, plain, ( ~class_Int_Onumber__ring(_u4268) | ~class_Rings_Olinordered__idom(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4268), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4269)), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4269), _u4270)) )).
% 12.32/12.55 cnf(matrix-2776, plain, ( ~class_Int_Onumber__ring(_u4268) | ~class_Rings_Olinordered__idom(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4269), _u4270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4268), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4269)), hAPP(c_Int_Onumber__class_Onumber__of(_u4268), _u4270))) )).
% 12.32/12.55 cnf(matrix-2777, plain, ( ~class_Int_Onumber__ring(_u4271) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4272), _u4273)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4271), hAPP(c_Int_Onumber__class_Onumber__of(_u4271), _u4272)), hAPP(c_Int_Onumber__class_Onumber__of(_u4271), _u4273))) )).
% 12.32/12.55 cnf(matrix-2778, plain, ( ~class_Int_Onumber__ring(_u4274) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4274), hAPP(c_Int_Onumber__class_Onumber__of(_u4274), _u4275)), hAPP(c_Int_Onumber__class_Onumber__of(_u4274), _u4276)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4274), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4275), _u4276))) )).
% 12.32/12.55 cnf(matrix-2779, plain, ( ~class_Int_Onumber__ring(_u4277) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), _u4278)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), _u4279)), _u4280)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4277), hAPP(c_Int_Onumber__class_Onumber__of(_u4277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4278), _u4279))), _u4280)) )).
% 12.32/12.55 cnf(matrix-2780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4281)) | 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), _u4281), _u4282))) )).
% 12.32/12.55 cnf(matrix-2781, plain, ( ~class_Int_Onumber__ring(_u4283) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), _u4284)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), _u4285)), _u4286)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), hAPP(c_Int_Onumber__class_Onumber__of(_u4283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4284), _u4285))), _u4286)) )).
% 12.32/12.55 cnf(matrix-2782, plain, ( ~class_Int_Onumber__ring(_u4287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4287), hAPP(c_Int_Onumber__class_Onumber__of(_u4287), _u4288)), hAPP(c_Int_Onumber__class_Onumber__of(_u4287), _u4289)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4287), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4288), _u4289))) )).
% 12.32/12.55 cnf(matrix-2783, plain, ( ~class_Int_Onumber__ring(_u4290) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4291), _u4292)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4290), hAPP(c_Int_Onumber__class_Onumber__of(_u4290), _u4291)), hAPP(c_Int_Onumber__class_Onumber__of(_u4290), _u4292))) )).
% 12.32/12.55 cnf(matrix-2784, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4293), _u4294)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4293) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2785, plain, ( ~class_Int_Onumber__ring(_u4295) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4296), _u4297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4295), hAPP(c_Int_Onumber__class_Onumber__of(_u4295), _u4296)), hAPP(c_Int_Onumber__class_Onumber__of(_u4295), _u4297))) )).
% 12.32/12.55 cnf(matrix-2786, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4299), _u4300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), _u4299)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4298), _u4300))) )).
% 12.32/12.55 cnf(matrix-2787, plain, ( ~class_Int_Onumber__ring(_u4301) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4302)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302))) )).
% 12.32/12.55 cnf(matrix-2788, plain, ( ~class_Int_Onumber__ring(_u4303) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4303), hAPP(c_Int_Onumber__class_Onumber__of(_u4303), _u4304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4304))) )).
% 12.32/12.55 cnf(matrix-2789, plain, ( ~class_Rings_Olinordered__idom(_u4305) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), c_Groups_Osgn__class_Osgn(_u4305, _u4306)), hAPP(c_Groups_Oabs__class_Oabs(_u4305), _u4306)) = _u4306) )).
% 12.32/12.55 cnf(matrix-2790, plain, ( ~class_Rings_Olinordered__idom(_u4307) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4307), _u4308) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4307), _u4308), c_Groups_Osgn__class_Osgn(_u4307, _u4308))) )).
% 12.32/12.55 cnf(matrix-2791, plain, ( ~class_Rings_Olinordered__idom(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4310)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(c_Groups_Oabs__class_Oabs(_u4309), _u4311)), _u4310) = hAPP(c_Groups_Oabs__class_Oabs(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4311), _u4310))) )).
% 12.32/12.55 cnf(matrix-2792, plain, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4314)) )).
% 12.32/12.55 cnf(matrix-2793, plain, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4314), c_Groups_Ozero__class_Ozero(_u4312))) )).
% 12.32/12.55 cnf(matrix-2794, plain, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4313), c_Groups_Ozero__class_Ozero(_u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), c_Groups_Ozero__class_Ozero(_u4312)), _u4314)) )).
% 12.32/12.55 cnf(matrix-2795, plain, ( ~class_Rings_Oordered__ring__abs(_u4312) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4313)), hAPP(c_Groups_Oabs__class_Oabs(_u4312), _u4314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4313), c_Groups_Ozero__class_Ozero(_u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4312), _u4314), c_Groups_Ozero__class_Ozero(_u4312))) )).
% 12.32/12.55 cnf(matrix-2796, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4315), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), _u4316), _u4317)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), _u4318), _u4319)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4315), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), _u4316), _u4318))), hAPP(c_Groups_Oabs__class_Oabs(_u4315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4315), _u4317), _u4319))))) )).
% 12.32/12.55 cnf(matrix-2797, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), hAPP(c_Groups_Oabs__class_Oabs(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4320), _u4321), _u4322))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4320), hAPP(c_Groups_Oabs__class_Oabs(_u4320), _u4321)), hAPP(c_Groups_Oabs__class_Oabs(_u4320), _u4322)))) )).
% 12.32/12.55 cnf(matrix-2798, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4323), _u4324), c_Groups_Ozero__class_Ozero(_u4323))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4323), _u4324) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), _u4324)) )).
% 12.32/12.55 cnf(matrix-2799, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), hAPP(c_Groups_Ouminus__class_Ouminus(_u4325), hAPP(c_Groups_Oabs__class_Oabs(_u4325), _u4326))), c_Groups_Ozero__class_Ozero(_u4325))) )).
% 12.32/12.55 cnf(matrix-2800, plain, ( ~class_Groups_Oabs__if(_u4327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4327), _u4328), c_Groups_Ozero__class_Ozero(_u4327))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4327), _u4328) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4327), _u4328)) )).
% 12.32/12.55 cnf(matrix-2801, plain, ( ~class_Groups_Oabs__if(_u4327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4327), _u4328), c_Groups_Ozero__class_Ozero(_u4327))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4327), _u4328) = _u4328) )).
% 12.32/12.55 cnf(matrix-2802, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4329), _u4330), c_Groups_Ozero__class_Ozero(_u4329))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4329), _u4330) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4329), _u4330)) )).
% 12.32/12.55 cnf(matrix-2803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4332)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4332 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2804, plain, ( ( _u4333 != 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), _u4333)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2805, plain, ( ~class_Int_Onumber__ring(_u4334) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), _u4335)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), _u4336)), _u4337)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4334), hAPP(c_Int_Onumber__class_Onumber__of(_u4334), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4335), _u4336))), _u4337)) )).
% 12.32/12.55 cnf(matrix-2806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4339), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4339) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4339)) )).
% 12.32/12.55 cnf(matrix-2807, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4340), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4340) = _u4340) )).
% 12.32/12.55 cnf(matrix-2808, plain, ( ~class_Int_Onumber__ring(_u4341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4341), hAPP(c_Groups_Ouminus__class_Ouminus(_u4341), hAPP(c_Int_Onumber__class_Onumber__of(_u4341), _u4342))), _u4343) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4341), hAPP(c_Int_Onumber__class_Onumber__of(_u4341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4342))), _u4343)) )).
% 12.32/12.55 cnf(matrix-2809, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4344), _u4345))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4344))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4345)))) )).
% 12.32/12.55 cnf(matrix-2810, plain, ( ~class_Int_Onumber__ring(_u4346) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4346), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4347)), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4348)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4347), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4348)))) )).
% 12.32/12.55 cnf(matrix-2811, plain, ( ~class_Int_Onumber__ring(_u4349) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4349), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), _u4350)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4349), _u4351), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), _u4352))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4349), hAPP(c_Int_Onumber__class_Onumber__of(_u4349), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4350), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4352)))), _u4351)) )).
% 12.32/12.55 cnf(matrix-2812, plain, ( ~class_Rings_Olinordered__semidom(_u4353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4353), _u4354), _u4355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4353), c_Groups_Ozero__class_Ozero(_u4353)), _u4354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4353), hAPP(hAPP(c_Power_Opower__class_Opower(_u4353), _u4354), _u4356)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4353), _u4355), _u4356))) )).
% 12.32/12.55 cnf(matrix-2813, plain, ( ~class_Rings_Olinordered__semidom(_u4357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4357), c_Groups_Oone__class_Oone(_u4357)), _u4358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4357), c_Groups_Oone__class_Oone(_u4357)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4357), _u4358), _u4359))) )).
% 12.32/12.55 cnf(matrix-2814, plain, ( ~class_Rings_Olinordered__semidom(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Oone__class_Oone(_u4360)), _u4361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4360), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4362)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4362), _u4363)) )).
% 12.32/12.55 cnf(matrix-2815, plain, ( ~class_Rings_Olinordered__semidom(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Oone__class_Oone(_u4360)), _u4361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4362), _u4363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4360), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4362)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4360), _u4361), _u4363))) )).
% 12.32/12.55 cnf(matrix-2816, plain, ( ~class_Rings_Olinordered__semidom(_u4364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), c_Groups_Oone__class_Oone(_u4364)), _u4365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4366)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4366), _u4367)) )).
% 12.32/12.55 cnf(matrix-2817, plain, ( ~class_Rings_Olinordered__semidom(_u4368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4369), _u4370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), c_Groups_Ozero__class_Ozero(_u4368)), _u4371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), _u4371), c_Groups_Oone__class_Oone(_u4368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4368), hAPP(hAPP(c_Power_Opower__class_Opower(_u4368), _u4371), _u4370)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4368), _u4371), _u4369))) )).
% 12.32/12.55 cnf(matrix-2818, plain, ( ~class_Rings_Olinordered__semidom(_u4372) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4373), _u4374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), c_Groups_Ozero__class_Ozero(_u4372)), _u4375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), _u4375), c_Groups_Oone__class_Oone(_u4372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4372), hAPP(hAPP(c_Power_Opower__class_Opower(_u4372), _u4375), _u4374)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4372), _u4375), _u4373))) )).
% 12.32/12.55 cnf(matrix-2819, plain, ( ~class_Rings_Olinordered__semidom(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Oone__class_Oone(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Power_Opower__class_Opower(_u4376), _u4377), hAPP(c_Nat_OSuc, _u4378))), c_Groups_Oone__class_Oone(_u4376))) )).
% 12.32/12.55 cnf(matrix-2820, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4379) = _u4379) )).
% 12.32/12.55 cnf(matrix-2821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4382)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4382), _u4384)) )).
% 12.32/12.55 cnf(matrix-2822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4383), _u4385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4385))) )).
% 12.32/12.55 cnf(matrix-2823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4388)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4388), _u4390)) )).
% 12.32/12.55 cnf(matrix-2824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4389), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4389)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4391))) )).
% 12.32/12.55 cnf(matrix-2825, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4392)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4392), _u4393))) )).
% 12.32/12.55 cnf(matrix-2826, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4394)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4395)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4394), _u4395))) )).
% 12.32/12.55 cnf(matrix-2827, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4396)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4396))) )).
% 12.32/12.55 cnf(matrix-2828, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4397) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2829, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4400), _u4402) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4402 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4400 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2830, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4401), _u4403) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4403 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2831, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4401), _u4403) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4401 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4404), _u4405)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4404), _u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4405), _u4406)) )).
% 12.32/12.55 cnf(matrix-2833, 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), _u4409), _u4411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4409)) | ( _u4411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2834, 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), _u4410), _u4412))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4410)) )).
% 12.32/12.55 cnf(matrix-2835, 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), _u4410), _u4412))) | ( _u4412 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2836, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4413) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4413)) )).
% 12.32/12.55 cnf(matrix-2837, 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))), _u4414)) | 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), _u4414), _u4415))) )).
% 12.32/12.55 cnf(matrix-2838, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)) )).
% 12.32/12.55 cnf(matrix-2839, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4417) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4417))) )).
% 12.32/12.55 cnf(matrix-2840, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4418)), _u4419) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4418), _u4419))) )).
% 12.32/12.55 cnf(matrix-2841, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4420), _u4421)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4420)), _u4421)) )).
% 12.32/12.55 cnf(matrix-2842, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4422)), _u4423) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4422), _u4423))) )).
% 12.32/12.55 cnf(matrix-2843, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4424)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4425)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4424), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4425)))) )).
% 12.32/12.55 cnf(matrix-2844, plain, ( ( _u4428 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4430), _u4428) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2845, plain, ( ( _u4429 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4431), _u4429) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4431), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4431), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4429), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.55 cnf(matrix-2846, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4434) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436)) | ( _u4434 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436))) )).
% 12.32/12.55 cnf(matrix-2847, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4434) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4436)) | 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), _u4436))) )).
% 12.32/12.55 cnf(matrix-2848, plain, ( ( _u4435 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4437))) | ~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), _u4437))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4435) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4437)) )).
% 12.32/12.55 cnf(matrix-2849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4438)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4438), _u4439)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4438)), _u4439)) )).
% 12.32/12.55 cnf(matrix-2850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4440)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4440)), _u4441) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4440), _u4441))) )).
% 12.32/12.55 cnf(matrix-2851, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4442) | ( _u4443 = c_Groups_Ozero__class_Ozero(_u4442)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4442), _u4443), _u4444) != c_Groups_Ozero__class_Ozero(_u4442)) )).
% 12.32/12.55 cnf(matrix-2852, plain, ( ~class_Groups_Omonoid__mult(_u4445) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4445), hAPP(hAPP(c_Power_Opower__class_Opower(_u4445), _u4446), _u4447)), _u4446) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4445), _u4446), hAPP(hAPP(c_Power_Opower__class_Opower(_u4445), _u4446), _u4447))) )).
% 12.32/12.55 cnf(matrix-2853, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4448) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), _u4451) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), _u4449), _u4451)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4448), _u4450), _u4451))) )).
% 12.32/12.55 cnf(matrix-2854, plain, ( ~class_Groups_Omonoid__mult(_u4452) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4452), c_Groups_Oone__class_Oone(_u4452)), _u4453) = c_Groups_Oone__class_Oone(_u4452)) )).
% 12.32/12.55 cnf(matrix-2855, plain, ( ~class_Rings_Osemiring__1(_u4454) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4454), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4455), _u4456)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4454), _u4455)), _u4456)) )).
% 12.32/12.55 cnf(matrix-2856, plain, ( ~class_Groups_Omonoid__mult(_u4457) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), _u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4459), _u4460)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), hAPP(hAPP(c_Power_Opower__class_Opower(_u4457), _u4458), _u4459)), _u4460)) )).
% 12.32/12.55 cnf(matrix-2857, 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), _u4461)) = 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), _u4461)))) )).
% 12.32/12.55 cnf(matrix-2858, plain, ( ~class_Rings_Olinordered__idom(_u4462) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4462), hAPP(hAPP(c_Power_Opower__class_Opower(_u4462), _u4463), _u4464)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4462), hAPP(c_Groups_Oabs__class_Oabs(_u4462), _u4463)), _u4464)) )).
% 12.32/12.55 cnf(matrix-2859, plain, ( ~class_Groups_Omonoid__mult(_u4465) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4465), _u4466), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4466) )).
% 12.32/12.55 cnf(matrix-2860, plain, ( ~class_Rings_Olinordered__semidom(_u4467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4467), c_Groups_Ozero__class_Ozero(_u4467)), _u4468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4467), c_Groups_Ozero__class_Ozero(_u4467)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4467), _u4468), _u4469))) )).
% 12.32/12.55 cnf(matrix-2861, plain, ( ~class_Rings_Olinordered__semidom(_u4470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), _u4471), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), c_Groups_Ozero__class_Ozero(_u4470)), _u4471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4470), hAPP(hAPP(c_Power_Opower__class_Opower(_u4470), _u4471), _u4473)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4470), _u4472), _u4473))) )).
% 12.32/12.55 cnf(matrix-2862, plain, ( ~class_Rings_Olinordered__semidom(_u4474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4474), c_Groups_Ozero__class_Ozero(_u4474)), _u4475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4474), c_Groups_Ozero__class_Ozero(_u4474)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4474), _u4475), _u4476))) )).
% 12.32/12.55 cnf(matrix-2863, plain, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4478 = c_Groups_Ozero__class_Ozero(_u4477)) )).
% 12.32/12.55 cnf(matrix-2864, plain, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2865, plain, ( ~class_Power_Opower(_u4477) | ~class_Rings_Omult__zero(_u4477) | ~class_Rings_Ono__zero__divisors(_u4477) | ~class_Rings_Ozero__neq__one(_u4477) | ( _u4478 != c_Groups_Ozero__class_Ozero(_u4477)) | ( _u4479 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4477), _u4478), _u4479) = c_Groups_Ozero__class_Ozero(_u4477)) )).
% 12.32/12.55 cnf(matrix-2866, plain, ( ~class_Rings_Olinordered__semidom(_u4480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4480), c_Groups_Oone__class_Oone(_u4480)), _u4481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4480), c_Groups_Oone__class_Oone(_u4480)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4480), _u4481), _u4482))) )).
% 12.32/12.55 cnf(matrix-2867, plain, ( ~class_Power_Opower(_u4483) | ~class_Rings_Osemiring__0(_u4483) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4483), c_Groups_Ozero__class_Ozero(_u4483)), hAPP(c_Nat_OSuc, _u4484)) = c_Groups_Ozero__class_Ozero(_u4483)) )).
% 12.32/12.55 cnf(matrix-2868, plain, ( ~class_Rings_Olinordered__semidom(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Oone__class_Oone(_u4485)), _u4486)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4487) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4488)) | ( _u4487 = _u4488) )).
% 12.32/12.55 cnf(matrix-2869, plain, ( ~class_Rings_Olinordered__semidom(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Oone__class_Oone(_u4485)), _u4486)) | ( _u4487 != _u4488) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4487) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4485), _u4486), _u4488)) )).
% 12.32/12.55 cnf(matrix-2870, plain, ( ~class_Power_Opower(_u4489) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4489), _u4490), hAPP(c_Nat_OSuc, _u4491)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4490), hAPP(hAPP(c_Power_Opower__class_Opower(_u4489), _u4490), _u4491))) )).
% 12.32/12.55 cnf(matrix-2871, plain, ( ~class_Groups_Omonoid__mult(_u4492) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4492), _u4493), hAPP(c_Nat_OSuc, _u4494)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4492), hAPP(hAPP(c_Power_Opower__class_Opower(_u4492), _u4493), _u4494)), _u4493)) )).
% 12.32/12.55 cnf(matrix-2872, plain, ( ~class_Power_Opower(_u4495) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4495), _u4496), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4495)) )).
% 12.32/12.55 cnf(matrix-2873, plain, ( ~class_Groups_Omonoid__mult(_u4497) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4499), _u4500)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), _u4499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4497), _u4498), _u4500))) )).
% 12.32/12.55 cnf(matrix-2874, plain, ( ~class_Rings_Olinordered__idom(_u4501) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4501), hAPP(hAPP(c_Power_Opower__class_Opower(_u4501), hAPP(c_Groups_Ouminus__class_Ouminus(_u4501), _u4502)), _u4503)) = hAPP(c_Groups_Oabs__class_Oabs(_u4501), hAPP(hAPP(c_Power_Opower__class_Opower(_u4501), _u4502), _u4503))) )).
% 12.32/12.55 cnf(matrix-2875, plain, ( ~class_Rings_Olinordered__semidom(_u4504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), hAPP(hAPP(c_Power_Opower__class_Opower(_u4504), _u4505), _u4506)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4504), _u4507), _u4506))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4504), c_Groups_Ozero__class_Ozero(_u4504)), _u4507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), _u4505), _u4507)) )).
% 12.32/12.55 cnf(matrix-2876, plain, ( ~class_Rings_Olinordered__semidom(_u4508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), hAPP(hAPP(c_Power_Opower__class_Opower(_u4508), _u4509), hAPP(c_Nat_OSuc, _u4510))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4508), _u4511), hAPP(c_Nat_OSuc, _u4510)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), c_Groups_Ozero__class_Ozero(_u4508)), _u4511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4508), _u4509), _u4511)) )).
% 12.32/12.55 cnf(matrix-2877, plain, ( ~class_Rings_Olinordered__semidom(_u4512) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4513), hAPP(c_Nat_OSuc, _u4514)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4515), hAPP(c_Nat_OSuc, _u4514))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), c_Groups_Ozero__class_Ozero(_u4512)), _u4513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), c_Groups_Ozero__class_Ozero(_u4512)), _u4515)) | ( _u4513 = _u4515) )).
% 12.32/12.55 cnf(matrix-2878, plain, ( ~class_Rings_Olinordered__semidom(_u4516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518)))) )).
% 12.32/12.55 cnf(matrix-2879, plain, ( ~class_Rings_Olinordered__semidom(_u4519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4519), c_Groups_Oone__class_Oone(_u4519)), _u4520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4519), hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), _u4520), _u4521)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), _u4520), _u4521)))) )).
% 12.32/12.55 cnf(matrix-2880, plain, ( ~class_Power_Opower(_u4522) | ~class_Rings_Osemiring__0(_u4522) | ( _u4523 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4522), c_Groups_Ozero__class_Ozero(_u4522)), _u4523) = c_Groups_Oone__class_Oone(_u4522)) )).
% 12.32/12.55 cnf(matrix-2881, plain, ( ~class_Power_Opower(_u4522) | ~class_Rings_Osemiring__0(_u4522) | ( _u4523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4522), c_Groups_Ozero__class_Ozero(_u4522)), _u4523) = c_Groups_Ozero__class_Ozero(_u4522)) )).
% 12.32/12.55 cnf(matrix-2882, plain, ( ~class_Rings_Olinordered__semidom(_u4524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4524), c_Groups_Oone__class_Oone(_u4524)), _u4525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4524), c_Groups_Oone__class_Oone(_u4524)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), hAPP(c_Nat_OSuc, _u4526)))) )).
% 12.32/12.55 cnf(matrix-2883, plain, ( ~class_Rings_Olinordered__semidom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4528), _u4529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), c_Groups_Oone__class_Oone(_u4527)), _u4530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(hAPP(c_Power_Opower__class_Opower(_u4527), _u4530), _u4528)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4527), _u4530), _u4529))) )).
% 12.32/12.55 cnf(matrix-2884, plain, ( ~class_Rings_Olinordered__semidom(_u4531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4531), c_Groups_Oone__class_Oone(_u4531)), _u4532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4531), hAPP(hAPP(c_Power_Opower__class_Opower(_u4531), _u4532), _u4533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4531), _u4532), _u4534))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4533), _u4534)) )).
% 12.32/12.55 cnf(matrix-2885, plain, ( ~class_Rings_Olinordered__semidom(_u4535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), c_Groups_Oone__class_Oone(_u4535)), _u4536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4537), _u4538)) )).
% 12.32/12.55 cnf(matrix-2886, plain, ( ~class_Rings_Olinordered__semidom(_u4535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), c_Groups_Oone__class_Oone(_u4535)), _u4536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4537), _u4538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4535), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4535), _u4536), _u4538))) )).
% 12.32/12.55 cnf(matrix-2887, plain, ( ~class_Rings_Olinordered__idom(_u4539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4539), c_Groups_Ozero__class_Ozero(_u4539)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4539), hAPP(c_Groups_Oabs__class_Oabs(_u4539), _u4540)), _u4541))) )).
% 12.32/12.55 cnf(matrix-2888, plain, ( ~class_Rings_Olinordered__semidom(_u4542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4543), _u4544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Oone__class_Oone(_u4542)), _u4545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), hAPP(hAPP(c_Power_Opower__class_Opower(_u4542), _u4545), _u4543)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4542), _u4545), _u4544))) )).
% 12.32/12.55 cnf(matrix-2889, plain, ( ~class_Rings_Oring__1(_u4546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), hAPP(c_Groups_Ouminus__class_Ouminus(_u4546), _u4547)), _u4548) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4546), hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), hAPP(c_Groups_Ouminus__class_Ouminus(_u4546), c_Groups_Oone__class_Oone(_u4546))), _u4548)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4546), _u4547), _u4548))) )).
% 12.32/12.55 cnf(matrix-2890, plain, ( ~class_Rings_Olinordered__semidom(_u4549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), c_Groups_Ozero__class_Ozero(_u4549)), _u4550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), _u4550), c_Groups_Oone__class_Oone(_u4549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4549), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4549), _u4550), hAPP(hAPP(c_Power_Opower__class_Opower(_u4549), _u4550), _u4551))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4549), _u4550), _u4551))) )).
% 12.32/12.55 cnf(matrix-2891, plain, ( ~class_Rings_Olinordered__semidom(_u4552) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4555), _u4554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4552), c_Groups_Ozero__class_Ozero(_u4552)), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4552), c_Groups_Ozero__class_Ozero(_u4552)), _u4555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4554)) | ( _u4553 = _u4555) )).
% 12.32/12.55 cnf(matrix-2892, plain, ( ( c_Nitpick_Onat__lcm(_u4556, _u4557) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4556), _u4557)), c_Nitpick_Onat__gcd(_u4556, _u4557))) )).
% 12.32/12.55 cnf(matrix-2893, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u4558), _u4559) = 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), _u4558)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4559))))) )).
% 12.32/12.55 cnf(matrix-2894, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4561))) | ( 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), _u4561)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-2895, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4562))) | ( 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), _u4562)) = 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), _u4562)))) )).
% 12.32/12.55 cnf(matrix-2896, plain, ( ~class_Power_Opower(_u4563) | ( c_Power_Opower__class_Opower(_u4563) = c_Power_Opower_Opower(_u4563, c_Groups_Oone__class_Oone(_u4563), c_Groups_Otimes__class_Otimes(_u4563))) )).
% 12.32/12.55 cnf(matrix-2897, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4566))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4566)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4568)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2898, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4567))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4569)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4569)))) )).
% 12.32/12.55 cnf(matrix-2899, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4572))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4572), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4574)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2900, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4575)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573)) )).
% 12.32/12.55 cnf(matrix-2901, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4575)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4575)))) )).
% 12.32/12.55 cnf(matrix-2902, plain, ( ( c_Nitpick_Oint__lcm(_u4576, _u4577) = 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), _u4576)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4577))))) )).
% 12.32/12.55 cnf(matrix-2903, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4578))) )).
% 12.32/12.55 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2906, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4580)) )).
% 12.32/12.55 cnf(matrix-2907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4581)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4581)) )).
% 12.32/12.55 cnf(matrix-2908, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4584)) )).
% 12.32/12.55 cnf(matrix-2910, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4585)) | ( hAPP(c_Int_Onat, _u4585) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2911, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4586)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4586)) = _u4586) )).
% 12.32/12.55 cnf(matrix-2912, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4587, _u4588, _u4589), _u4590), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4588) )).
% 12.32/12.55 cnf(matrix-2913, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4591, _u4592, _u4593), _u4594), hAPP(c_Nat_OSuc, _u4595)) = hAPP(hAPP(_u4593, _u4594), hAPP(hAPP(c_Power_Opower_Opower(_u4591, _u4592, _u4593), _u4594), _u4595))) )).
% 12.32/12.55 cnf(matrix-2914, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4596))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4596) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2915, 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, _u4597))))) )).
% 12.32/12.55 cnf(matrix-2916, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2917, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2918, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4600) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4602)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4600))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4602))) | ( _u4600 = _u4602) )).
% 12.32/12.55 cnf(matrix-2919, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) | ( _u4601 != _u4603) )).
% 12.32/12.55 cnf(matrix-2920, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) )).
% 12.32/12.55 cnf(matrix-2921, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4601 != _u4603) )).
% 12.32/12.55 cnf(matrix-2922, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601))) )).
% 12.32/12.55 cnf(matrix-2923, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) | ( _u4601 != _u4603) )).
% 12.32/12.55 cnf(matrix-2924, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603))) )).
% 12.32/12.55 cnf(matrix-2925, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4601) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4601) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4601 != _u4603) )).
% 12.32/12.55 cnf(matrix-2926, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4607))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4609)), _u4611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4609)), _u4611)) )).
% 12.32/12.55 cnf(matrix-2927, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4608))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4610)), _u4612)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), _u4612)) )).
% 12.32/12.55 cnf(matrix-2928, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4608))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4610)), _u4612)) = 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), _u4608), _u4610))), _u4612)) )).
% 12.32/12.55 cnf(matrix-2929, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4614))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4614)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2930, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4615))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4615)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4615)) )).
% 12.32/12.55 cnf(matrix-2931, plain, ( ~class_Int_Onumber__ring(_u4616) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4617))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4616), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4617)) = c_Groups_Ozero__class_Ozero(_u4616)) )).
% 12.32/12.55 cnf(matrix-2932, plain, ( ~class_Int_Onumber__ring(_u4616) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4617))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4616), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4617)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4616), _u4617)) )).
% 12.32/12.55 cnf(matrix-2933, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4620))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4620)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622)) = 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), _u4622))) )).
% 12.32/12.55 cnf(matrix-2934, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4621))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4623)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4623)))) )).
% 12.32/12.55 cnf(matrix-2935, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4626))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4626)), _u4628) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4628)) )).
% 12.32/12.55 cnf(matrix-2936, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4627))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4627)), _u4629) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4627)), _u4629))) )).
% 12.32/12.55 cnf(matrix-2937, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4632))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4632)), _u4634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4634)) )).
% 12.32/12.55 cnf(matrix-2938, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4633))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4633)), _u4635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4633))), _u4635)) )).
% 12.32/12.55 cnf(matrix-2939, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4637))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4637)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2940, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4638))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4638)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4638))) )).
% 12.32/12.55 cnf(matrix-2941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4639)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4639) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4639), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2942, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4640), _u4641)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4640), _u4641) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2943, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4646, _u4645, _u4644)), _u4644)) )).
% 12.32/12.55 cnf(matrix-2944, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | ( hAPP(_u4645, skolem81(_u4646, _u4645, _u4644)) = _u4646) )).
% 12.32/12.55 cnf(matrix-2945, 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(_u4645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4645, skolem80(_u4646, _u4645, _u4644))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4646, _u4645, _u4644)), _u4644)) )).
% 12.32/12.55 cnf(matrix-2946, 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(_u4645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4646, _u4645, _u4644)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4645, skolem80(_u4646, _u4645, _u4644))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4645, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4646), hAPP(_u4645, _u4644))) | ( hAPP(_u4645, skolem81(_u4646, _u4645, _u4644)) = _u4646) )).
% 12.32/12.55 cnf(matrix-2947, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4651, _u4650, _u4649)), _u4649)) )).
% 12.32/12.55 cnf(matrix-2948, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | ( hAPP(_u4650, skolem83(_u4651, _u4650, _u4649)) = _u4651) )).
% 12.32/12.55 cnf(matrix-2949, 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(_u4650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4650, skolem82(_u4651, _u4650, _u4649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4651, _u4650, _u4649)), _u4649)) )).
% 12.32/12.55 cnf(matrix-2950, 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(_u4650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4651, _u4650, _u4649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4650, skolem82(_u4651, _u4650, _u4649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4651), hAPP(_u4650, _u4649))) | ( hAPP(_u4650, skolem83(_u4651, _u4650, _u4649)) = _u4651) )).
% 12.32/12.55 cnf(matrix-2951, plain, ( ~class_Int_Onumber__ring(_u4652) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4653) != hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4654)) | c_Int_Oiszero(_u4652, hAPP(c_Int_Onumber__class_Onumber__of(_u4652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4654)))) )).
% 12.32/12.55 cnf(matrix-2952, plain, ( ~class_Int_Onumber__ring(_u4652) | ~c_Int_Oiszero(_u4652, hAPP(c_Int_Onumber__class_Onumber__of(_u4652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4654)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4653) = hAPP(c_Int_Onumber__class_Onumber__of(_u4652), _u4654)) )).
% 12.32/12.55 cnf(matrix-2953, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4655), c_Int_OMin) = c_Int_Osucc(_u4655)) )).
% 12.32/12.55 cnf(matrix-2954, plain, ( ~class_Int_Onumber__ring(_u4656) | ~c_Int_Oiszero(_u4656, hAPP(c_Int_Onumber__class_Onumber__of(_u4656), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2955, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2957, plain, ( ~class_Rings_Osemiring__1(_u4657) | ~c_Int_Oiszero(_u4657, _u4658) | ( _u4658 = c_Groups_Ozero__class_Ozero(_u4657)) )).
% 12.32/12.55 cnf(matrix-2958, plain, ( ~class_Rings_Osemiring__1(_u4657) | ( _u4658 != c_Groups_Ozero__class_Ozero(_u4657)) | c_Int_Oiszero(_u4657, _u4658) )).
% 12.32/12.55 cnf(matrix-2959, plain, ( ~class_Rings_Osemiring__1(_u4659) | c_Int_Oiszero(_u4659, c_Groups_Ozero__class_Ozero(_u4659)) )).
% 12.32/12.55 cnf(matrix-2960, plain, ( ~class_Rings_Osemiring__1(_u4660) | ~c_Int_Oiszero(_u4660, c_Groups_Oone__class_Oone(_u4660)) )).
% 12.32/12.55 cnf(matrix-2961, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2962, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2963, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4661) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4661)) )).
% 12.32/12.55 cnf(matrix-2964, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.32/12.55 cnf(matrix-2965, plain, ( ~class_Int_Onumber__ring(_u4662) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4662), _u4663), hAPP(c_Int_Onumber__class_Onumber__of(_u4662), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4662), _u4663)) )).
% 12.32/12.55 cnf(matrix-2966, plain, ( ~class_Int_Onumber__ring(_u4664) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4664), hAPP(c_Int_Onumber__class_Onumber__of(_u4664), c_Int_OMin)), _u4665) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4664), _u4665)) )).
% 12.32/12.55 cnf(matrix-2967, plain, ( ~class_Int_Onumber__ring(_u4666) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4666), c_Groups_Oone__class_Oone(_u4666)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4666), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2968, plain, ( ~class_Int_Onumber__ring(_u4667) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4667), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4667), c_Groups_Oone__class_Oone(_u4667))) )).
% 12.32/12.55 cnf(matrix-2969, plain, ( ~class_Int_Onumber__ring(_u4668) | ~class_Rings_Olinordered__idom(_u4668) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4668), hAPP(c_Int_Onumber__class_Onumber__of(_u4668), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4668)) )).
% 12.32/12.55 cnf(matrix-2970, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4669, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2971, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2972, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2973, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4672 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2974, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4672), _u4674) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4674 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2975, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4673), _u4675) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4673 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4675 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-2976, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4673), _u4675) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4673 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4675 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2977, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4676), _u4677) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4676 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4676 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2978, plain, ( ~class_Int_Onumber__ring(_u4678) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4678), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4678), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2979, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4679), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4679)) )).
% 12.32/12.55 cnf(matrix-2980, plain, ( ( c_Int_Osucc(_u4680) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4680), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-2981, plain, ( ~class_Int_Onumber__ring(_u4681) | ~class_Rings_Olinordered__idom(_u4681) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4681), hAPP(hAPP(c_Power_Opower__class_Opower(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), c_Int_OMin)), _u4682)) = c_Groups_Oone__class_Oone(_u4681)) )).
% 12.32/12.55 cnf(matrix-2982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4683)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4683) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-2983, plain, ( ~class_Int_Onumber__ring(_u4684) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4684), c_Int_Osucc(_u4685)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4684), c_Groups_Oone__class_Oone(_u4684)), hAPP(c_Int_Onumber__class_Onumber__of(_u4684), _u4685))) )).
% 12.32/12.55 cnf(matrix-2984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4687), 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), _u4687)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2985, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4688), 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), _u4688)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4688))) )).
% 12.32/12.55 cnf(matrix-2986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4690), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2987, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4691), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4691)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4691))) )).
% 12.32/12.55 cnf(matrix-2988, plain, ( ~class_Int_Onumber__ring(_u4692) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4692), _u4693) != c_Groups_Ozero__class_Ozero(_u4692)) | c_Int_Oiszero(_u4692, hAPP(c_Int_Onumber__class_Onumber__of(_u4692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4693), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-2989, plain, ( ~class_Int_Onumber__ring(_u4692) | ~c_Int_Oiszero(_u4692, hAPP(c_Int_Onumber__class_Onumber__of(_u4692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4693), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4692), _u4693) = c_Groups_Ozero__class_Ozero(_u4692)) )).
% 12.32/12.55 cnf(matrix-2990, plain, ( ~class_Int_Onumber__ring(_u4694) | ( c_Groups_Ozero__class_Ozero(_u4694) != hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)) | c_Int_Oiszero(_u4694, hAPP(c_Int_Onumber__class_Onumber__of(_u4694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4695)))) )).
% 12.32/12.55 cnf(matrix-2991, plain, ( ~class_Int_Onumber__ring(_u4694) | ~c_Int_Oiszero(_u4694, hAPP(c_Int_Onumber__class_Onumber__of(_u4694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4695)))) | ( c_Groups_Ozero__class_Ozero(_u4694) = hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)) )).
% 12.32/12.55 cnf(matrix-2992, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u4697)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4697) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2993, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4698) != 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(_u4698)))) )).
% 12.32/12.55 cnf(matrix-2994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4702), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4704)), _u4706)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2995, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4703), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4703)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4705)), _u4707)) = 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), _u4703), _u4705))), _u4707)) )).
% 12.32/12.55 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4710), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4712)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-2997, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4711), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4711)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4713)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4711), _u4713))) )).
% 12.32/12.55 cnf(matrix-2998, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-2999, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-3000, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3002, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4714) = _u4714) )).
% 12.32/12.55 cnf(matrix-3003, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4715), c_Int_OPls) = _u4715) )).
% 12.32/12.55 cnf(matrix-3004, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4716) = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3005, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4717), c_Int_OPls) = _u4717) )).
% 12.32/12.55 cnf(matrix-3006, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3007, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-3008, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3009, plain, ( ( c_Int_Osucc(c_Int_Opred(_u4718)) = _u4718) )).
% 12.32/12.55 cnf(matrix-3010, plain, ( ~class_Int_Onumber__ring(_u4719) | ( c_Groups_Ozero__class_Ozero(_u4719) = hAPP(c_Int_Onumber__class_Onumber__of(_u4719), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3011, plain, ( ~class_Int_Onumber__ring(_u4720) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4720), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4720)) )).
% 12.32/12.55 cnf(matrix-3012, plain, ( ~class_Int_Onumber__ring(_u4721) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4721), hAPP(c_Int_Onumber__class_Onumber__of(_u4721), c_Int_OPls)), _u4722) = _u4722) )).
% 12.32/12.55 cnf(matrix-3013, plain, ( ~class_Int_Onumber__ring(_u4723) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4723), _u4724), hAPP(c_Int_Onumber__class_Onumber__of(_u4723), c_Int_OPls)) = _u4724) )).
% 12.32/12.55 cnf(matrix-3014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3015, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-3016, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3017, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4725)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4725)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4726), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4725)))) )).
% 12.32/12.55 cnf(matrix-3019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3020, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3022, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3023, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3024, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3025, plain, ( ~class_Int_Onumber__ring(_u4727) | c_Int_Oiszero(_u4727, hAPP(c_Int_Onumber__class_Onumber__of(_u4727), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3026, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4730), _u4732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4730)), _u4732)) )).
% 12.32/12.55 cnf(matrix-3028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4731)), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4731), _u4733)) )).
% 12.32/12.55 cnf(matrix-3029, plain, ( ( c_Int_Opred(_u4734) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4734), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3030, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4735), c_Int_OMin) = c_Int_Opred(_u4735)) )).
% 12.32/12.55 cnf(matrix-3031, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4736) = c_Int_Opred(_u4736)) )).
% 12.32/12.55 cnf(matrix-3032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4738), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4738)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-3033, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4739), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4739)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4739))) )).
% 12.32/12.55 cnf(matrix-3034, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4741), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4742), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4742)) )).
% 12.32/12.55 cnf(matrix-3036, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4744) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4744), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4745), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4745) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-3038, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4748)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4748), _u4750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4750)) )).
% 12.32/12.55 cnf(matrix-3040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4748)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4748), _u4750)) )).
% 12.32/12.55 cnf(matrix-3041, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4749)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4751))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4749), _u4751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4751)) )).
% 12.32/12.55 cnf(matrix-3042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4754)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4754), _u4756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4754), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3043, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4755), _u4757)) )).
% 12.32/12.55 cnf(matrix-3044, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4755), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3045, plain, ( ~class_Int_Onumber__ring(_u4758) | ~class_Rings_Olinordered__idom(_u4758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), _u4759)), c_Groups_Ozero__class_Ozero(_u4758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4759), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3046, plain, ( ~class_Int_Onumber__ring(_u4758) | ~class_Rings_Olinordered__idom(_u4758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4759), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), _u4759)), c_Groups_Ozero__class_Ozero(_u4758))) )).
% 12.32/12.55 cnf(matrix-3047, plain, ( ~class_Int_Onumber__ring(_u4760) | ~class_Rings_Olinordered__idom(_u4760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4760), c_Groups_Ozero__class_Ozero(_u4760)), hAPP(c_Int_Onumber__class_Onumber__of(_u4760), _u4761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4761)) )).
% 12.32/12.55 cnf(matrix-3048, plain, ( ~class_Int_Onumber__ring(_u4760) | ~class_Rings_Olinordered__idom(_u4760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4760), c_Groups_Ozero__class_Ozero(_u4760)), hAPP(c_Int_Onumber__class_Onumber__of(_u4760), _u4761))) )).
% 12.32/12.55 cnf(matrix-3049, plain, ( ~class_Int_Onumber__ring(_u4762) | ~class_Rings_Olinordered__idom(_u4762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4762), c_Groups_Ozero__class_Ozero(_u4762)), hAPP(c_Int_Onumber__class_Onumber__of(_u4762), _u4763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4763)) )).
% 12.32/12.55 cnf(matrix-3050, plain, ( ~class_Int_Onumber__ring(_u4762) | ~class_Rings_Olinordered__idom(_u4762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4762), c_Groups_Ozero__class_Ozero(_u4762)), hAPP(c_Int_Onumber__class_Onumber__of(_u4762), _u4763))) )).
% 12.32/12.55 cnf(matrix-3051, plain, ( ~class_Int_Onumber__ring(_u4764) | ~class_Rings_Olinordered__idom(_u4764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4764), hAPP(c_Int_Onumber__class_Onumber__of(_u4764), _u4765)), c_Groups_Ozero__class_Ozero(_u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4765), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3052, plain, ( ~class_Int_Onumber__ring(_u4764) | ~class_Rings_Olinordered__idom(_u4764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4765), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4764), hAPP(c_Int_Onumber__class_Onumber__of(_u4764), _u4765)), c_Groups_Ozero__class_Ozero(_u4764))) )).
% 12.32/12.55 cnf(matrix-3053, 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), _u4767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4767)) )).
% 12.32/12.55 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4768)) | 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), _u4768))) )).
% 12.32/12.55 cnf(matrix-3055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4771), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4771)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4773)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4773)) )).
% 12.32/12.55 cnf(matrix-3056, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4774), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)) )).
% 12.32/12.55 cnf(matrix-3057, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4774), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), _u4774))) )).
% 12.32/12.55 cnf(matrix-3058, plain, ( ~class_Int_Onumber__ring(_u4775) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4775), c_Int_Opred(_u4776)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4775), hAPP(c_Groups_Ouminus__class_Ouminus(_u4775), c_Groups_Oone__class_Oone(_u4775))), hAPP(c_Int_Onumber__class_Onumber__of(_u4775), _u4776))) )).
% 12.32/12.55 cnf(matrix-3059, plain, ( ~class_Int_Onumber__ring(_u4777) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4777), _u4778) != c_Groups_Oone__class_Oone(_u4777)) | c_Int_Oiszero(_u4777, hAPP(c_Int_Onumber__class_Onumber__of(_u4777), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4778), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3060, plain, ( ~class_Int_Onumber__ring(_u4777) | ~c_Int_Oiszero(_u4777, hAPP(c_Int_Onumber__class_Onumber__of(_u4777), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4778), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4777), _u4778) = c_Groups_Oone__class_Oone(_u4777)) )).
% 12.32/12.55 cnf(matrix-3061, plain, ( ~class_Int_Onumber__ring(_u4779) | ( c_Groups_Oone__class_Oone(_u4779) != hAPP(c_Int_Onumber__class_Onumber__of(_u4779), _u4780)) | c_Int_Oiszero(_u4779, hAPP(c_Int_Onumber__class_Onumber__of(_u4779), 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), _u4780)))) )).
% 12.32/12.55 cnf(matrix-3062, plain, ( ~class_Int_Onumber__ring(_u4779) | ~c_Int_Oiszero(_u4779, hAPP(c_Int_Onumber__class_Onumber__of(_u4779), 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), _u4780)))) | ( c_Groups_Oone__class_Oone(_u4779) = hAPP(c_Int_Onumber__class_Onumber__of(_u4779), _u4780)) )).
% 12.32/12.55 cnf(matrix-3063, plain, ( ~class_Int_Onumber__ring(_u4781) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4781), hAPP(c_Int_Onumber__class_Onumber__of(_u4781), _u4782)), c_Groups_Oone__class_Oone(_u4781)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4781), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4782), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3064, plain, ( ~class_Int_Onumber__ring(_u4783) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4783), c_Groups_Oone__class_Oone(_u4783)), hAPP(c_Int_Onumber__class_Onumber__of(_u4783), _u4784)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4783), 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), _u4784)))) )).
% 12.32/12.55 cnf(matrix-3065, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4785)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4786)) = 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)))), _u4785)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4786))) )).
% 12.32/12.55 cnf(matrix-3066, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4787)))), _u4788) = 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)))), _u4787)), _u4788)) )).
% 12.32/12.55 cnf(matrix-3067, plain, ( ( c_Int_OBit1(_u4791) != c_Int_OBit1(_u4793)) | ( _u4791 = _u4793) )).
% 12.32/12.55 cnf(matrix-3068, plain, ( ( _u4792 != _u4794) | ( c_Int_OBit1(_u4792) = c_Int_OBit1(_u4794)) )).
% 12.32/12.55 cnf(matrix-3069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4797)), c_Int_OBit1(_u4799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) )).
% 12.32/12.55 cnf(matrix-3070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4798)), c_Int_OBit1(_u4800))) )).
% 12.32/12.55 cnf(matrix-3071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4803)), c_Int_OBit1(_u4805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) )).
% 12.32/12.55 cnf(matrix-3072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), _u4806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4804)), c_Int_OBit1(_u4806))) )).
% 12.32/12.55 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4809)), c_Int_OBit1(_u4811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4809), _u4811)) )).
% 12.32/12.55 cnf(matrix-3074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4810), _u4812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4810)), c_Int_OBit1(_u4812))) )).
% 12.32/12.55 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4815)), c_Int_OBit1(_u4817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 12.32/12.55 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4816), _u4818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4816)), c_Int_OBit1(_u4818))) )).
% 12.32/12.55 cnf(matrix-3077, plain, ( ( c_Int_OPls != c_Int_OBit1(_u4819)) )).
% 12.32/12.55 cnf(matrix-3078, plain, ( ( c_Int_OBit1(_u4820) != c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3079, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-3080, plain, ( ( c_Int_OMin != c_Int_OBit1(_u4822)) | ( c_Int_OMin = _u4822) )).
% 12.32/12.55 cnf(matrix-3081, plain, ( ( c_Int_OMin != _u4823) | ( c_Int_OMin = c_Int_OBit1(_u4823)) )).
% 12.32/12.55 cnf(matrix-3082, plain, ( ( c_Int_OBit1(_u4825) != c_Int_OMin) | ( _u4825 = c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-3083, plain, ( ( _u4826 != c_Int_OMin) | ( c_Int_OBit1(_u4826) = c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-3084, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4828)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4828), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4829)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4831)) )).
% 12.32/12.55 cnf(matrix-3087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4832))) )).
% 12.32/12.55 cnf(matrix-3088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4834)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4834), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4835), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4835)), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3090, plain, ( ( c_Int_OBit1(_u4836) = 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)), _u4836)), _u4836)) )).
% 12.32/12.55 cnf(matrix-3091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4838)) )).
% 12.32/12.55 cnf(matrix-3092, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4839))) )).
% 12.32/12.55 cnf(matrix-3093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4841)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4841), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4842), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4842)), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4844)) )).
% 12.32/12.55 cnf(matrix-3096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4845))) )).
% 12.32/12.55 cnf(matrix-3097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4847)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4847), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4848), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4848)), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4850)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4850))) )).
% 12.32/12.55 cnf(matrix-3100, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4851))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4851)))) )).
% 12.32/12.55 cnf(matrix-3101, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4852)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4852)))) )).
% 12.32/12.55 cnf(matrix-3102, plain, ( ~class_Int_Onumber__ring(_u4853) | ~class_Int_Oring__char__0(_u4853) | ~c_Int_Oiszero(_u4853, hAPP(c_Int_Onumber__class_Onumber__of(_u4853), c_Int_OBit1(_u4854))) )).
% 12.32/12.55 cnf(matrix-3103, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3104, plain, ( ~class_Int_Onumber__ring(_u4855) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4855), c_Int_OBit1(_u4856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4855), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4855), c_Groups_Oone__class_Oone(_u4855)), hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856))), hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856))) )).
% 12.32/12.55 cnf(matrix-3105, plain, ( ~class_Int_Onumber__ring(_u4857) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4857), _u4858), hAPP(c_Int_Onumber__class_Onumber__of(_u4857), c_Int_OBit1(c_Int_OPls))) = _u4858) )).
% 12.32/12.55 cnf(matrix-3106, plain, ( ~class_Int_Onumber__ring(_u4859) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4859), hAPP(c_Int_Onumber__class_Onumber__of(_u4859), c_Int_OBit1(c_Int_OPls))), _u4860) = _u4860) )).
% 12.32/12.55 cnf(matrix-3107, plain, ( ~class_Int_Onumber__ring(_u4861) | ( c_Groups_Oone__class_Oone(_u4861) = hAPP(c_Int_Onumber__class_Onumber__of(_u4861), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3108, plain, ( ~class_Int_Onumber__ring(_u4862) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4862), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4862)) )).
% 12.32/12.55 cnf(matrix-3109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4864)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4864), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4865), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4865)), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4867)) )).
% 12.32/12.55 cnf(matrix-3112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4868))) )).
% 12.32/12.55 cnf(matrix-3113, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3114, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3115, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-3116, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4869)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4869))) )).
% 12.32/12.55 cnf(matrix-3117, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3118, plain, ( ~class_Int_Onumber__ring(_u4870) | ~c_Int_Oiszero(_u4870, hAPP(c_Int_Onumber__class_Onumber__of(_u4870), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3119, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-3120, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.55 cnf(matrix-3121, plain, ( ~class_Groups_Omonoid__mult(_u4871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4871), _u4872), 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(_u4871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4871), _u4872), _u4872)), _u4872)) )).
% 12.32/12.55 cnf(matrix-3122, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3123, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4873))) = 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)))), _u4873)) )).
% 12.32/12.55 cnf(matrix-3124, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3125, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3126, plain, ( ~class_Int_Onumber__ring(_u4874) | ~class_Rings_Olinordered__idom(_u4874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4874), hAPP(c_Int_Onumber__class_Onumber__of(_u4874), _u4875)), c_Groups_Oone__class_Oone(_u4874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4875), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3127, plain, ( ~class_Int_Onumber__ring(_u4874) | ~class_Rings_Olinordered__idom(_u4874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4875), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4874), hAPP(c_Int_Onumber__class_Onumber__of(_u4874), _u4875)), c_Groups_Oone__class_Oone(_u4874))) )).
% 12.32/12.55 cnf(matrix-3128, plain, ( ~class_Int_Onumber__ring(_u4876) | ~class_Rings_Olinordered__idom(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Oone__class_Oone(_u4876)), hAPP(c_Int_Onumber__class_Onumber__of(_u4876), _u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4877)) )).
% 12.32/12.55 cnf(matrix-3129, plain, ( ~class_Int_Onumber__ring(_u4876) | ~class_Rings_Olinordered__idom(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Oone__class_Oone(_u4876)), hAPP(c_Int_Onumber__class_Onumber__of(_u4876), _u4877))) )).
% 12.32/12.55 cnf(matrix-3130, plain, ( ~class_Int_Onumber__ring(_u4878) | ~class_Rings_Olinordered__idom(_u4878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4878), hAPP(c_Int_Onumber__class_Onumber__of(_u4878), _u4879)), c_Groups_Oone__class_Oone(_u4878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4879), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3131, plain, ( ~class_Int_Onumber__ring(_u4878) | ~class_Rings_Olinordered__idom(_u4878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4879), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4878), hAPP(c_Int_Onumber__class_Onumber__of(_u4878), _u4879)), c_Groups_Oone__class_Oone(_u4878))) )).
% 12.32/12.55 cnf(matrix-3132, plain, ( ~class_Int_Onumber__ring(_u4880) | ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Oone__class_Oone(_u4880)), hAPP(c_Int_Onumber__class_Onumber__of(_u4880), _u4881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4881)) )).
% 12.32/12.55 cnf(matrix-3133, plain, ( ~class_Int_Onumber__ring(_u4880) | ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Oone__class_Oone(_u4880)), hAPP(c_Int_Onumber__class_Onumber__of(_u4880), _u4881))) )).
% 12.32/12.55 cnf(matrix-3134, plain, ( ~class_Int_Onumber__ring(_u4882) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4882), c_Groups_Oone__class_Oone(_u4882)), hAPP(c_Int_Onumber__class_Onumber__of(_u4882), _u4883)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4883))) )).
% 12.32/12.55 cnf(matrix-3135, plain, ( ~class_Int_Onumber__ring(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(c_Int_Onumber__class_Onumber__of(_u4884), _u4885)), c_Groups_Oone__class_Oone(_u4884)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4884), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4885), c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-3136, 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)), _u4886)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4887)), _u4886) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3137, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4888, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4889)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4888, 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)))), _u4889))) )).
% 12.32/12.55 cnf(matrix-3138, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4890))), _u4891) = 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)))), _u4890), _u4891)) )).
% 12.32/12.55 cnf(matrix-3139, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4892))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4893)) = 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)))), _u4892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4893))) )).
% 12.32/12.55 cnf(matrix-3140, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4894), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4895)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4894), 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)))), _u4895))) )).
% 12.32/12.55 cnf(matrix-3141, 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), _u4898))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4898))) = 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), _u4900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4898)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3142, 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), _u4899))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4901)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4899))) = 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), _u4901)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4899)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4902), 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)))), _u4903)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4902)) = 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), _u4903), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4902))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4904)) | ( 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)))), _u4905))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4904)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4905), _u4904)) )).
% 12.32/12.55 cnf(matrix-3145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4906), 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)))), _u4907))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4906)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4907), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4906)) )).
% 12.32/12.55 cnf(matrix-3146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4908)) | ( 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)))), _u4909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4908)) = 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, _u4909, _u4908)))) )).
% 12.32/12.55 cnf(matrix-3147, plain, ( ~class_Rings_Osemiring__1(_u4910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4911)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), 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)))), _u4911))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), hAPP(c_Int_Onat, _u4911))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4910), hAPP(c_Int_Onat, _u4911)))) )).
% 12.32/12.55 cnf(matrix-3148, plain, ( ( c_Int_OBit0(_u4914) != c_Int_OBit0(_u4916)) | ( _u4914 = _u4916) )).
% 12.32/12.55 cnf(matrix-3149, plain, ( ( _u4915 != _u4917) | ( c_Int_OBit0(_u4915) = c_Int_OBit0(_u4917)) )).
% 12.32/12.55 cnf(matrix-3150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4920)), c_Int_OBit0(_u4922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4920), _u4922)) )).
% 12.32/12.55 cnf(matrix-3151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4921), _u4923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4921)), c_Int_OBit0(_u4923))) )).
% 12.32/12.55 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4926)), c_Int_OBit0(_u4928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4926), _u4928)) )).
% 12.32/12.55 cnf(matrix-3153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4927), _u4929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4927)), c_Int_OBit0(_u4929))) )).
% 12.32/12.55 cnf(matrix-3154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4932)), c_Int_OBit0(_u4934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4932), _u4934)) )).
% 12.32/12.55 cnf(matrix-3155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4933), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4933)), c_Int_OBit0(_u4935))) )).
% 12.32/12.55 cnf(matrix-3156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4938)), c_Int_OBit0(_u4940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4938), _u4940)) )).
% 12.32/12.55 cnf(matrix-3157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), _u4941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4939)), c_Int_OBit0(_u4941))) )).
% 12.32/12.55 cnf(matrix-3158, plain, ( ( c_Int_OBit0(_u4943) != c_Int_OPls) | ( _u4943 = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3159, plain, ( ( _u4944 != c_Int_OPls) | ( c_Int_OBit0(_u4944) = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3160, plain, ( ( c_Int_OPls != c_Int_OBit0(_u4946)) | ( c_Int_OPls = _u4946) )).
% 12.32/12.55 cnf(matrix-3161, plain, ( ( c_Int_OPls != _u4947) | ( c_Int_OPls = c_Int_OBit0(_u4947)) )).
% 12.32/12.55 cnf(matrix-3162, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.32/12.55 cnf(matrix-3163, plain, ( ( c_Int_OBit1(_u4948) != c_Int_OBit0(_u4949)) )).
% 12.32/12.55 cnf(matrix-3164, plain, ( ( c_Int_OBit0(_u4950) != c_Int_OBit1(_u4951)) )).
% 12.32/12.55 cnf(matrix-3165, plain, ( ( c_Int_OBit0(_u4952) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4952), _u4952)) )).
% 12.32/12.55 cnf(matrix-3166, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4953)), c_Int_OBit0(_u4954)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4953), _u4954))) )).
% 12.32/12.55 cnf(matrix-3167, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u4955)), _u4956) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4955), _u4956))) )).
% 12.32/12.55 cnf(matrix-3168, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4957)), c_Int_OBit0(_u4958)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4957), _u4958))) )).
% 12.32/12.55 cnf(matrix-3169, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u4959)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4959))) )).
% 12.32/12.55 cnf(matrix-3170, plain, ( ( c_Int_OBit0(_u4960) != c_Int_OMin) )).
% 12.32/12.55 cnf(matrix-3171, plain, ( ( c_Int_OMin != c_Int_OBit0(_u4961)) )).
% 12.32/12.55 cnf(matrix-3172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4963)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4963), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4964)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4966)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4966), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4967), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4967)), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4969))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4969)) )).
% 12.32/12.55 cnf(matrix-3177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4970))) )).
% 12.32/12.55 cnf(matrix-3178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4973)), c_Int_OBit1(_u4975))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4973), _u4975)) )).
% 12.32/12.55 cnf(matrix-3179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4974), _u4976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4974)), c_Int_OBit1(_u4976))) )).
% 12.32/12.55 cnf(matrix-3180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4979)), c_Int_OBit1(_u4981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4979), _u4981)) )).
% 12.32/12.55 cnf(matrix-3181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4980), _u4982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4980)), c_Int_OBit1(_u4982))) )).
% 12.32/12.55 cnf(matrix-3182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4984)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4984), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4985), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4985)), c_Int_OPls)) )).
% 12.32/12.55 cnf(matrix-3184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4987))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4987)) )).
% 12.32/12.55 cnf(matrix-3185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4988))) )).
% 12.32/12.55 cnf(matrix-3186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4991)), c_Int_OBit0(_u4993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4991), _u4993)) )).
% 12.32/12.55 cnf(matrix-3187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4992), _u4994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4992)), c_Int_OBit0(_u4994))) )).
% 12.32/12.55 cnf(matrix-3188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4997)), c_Int_OBit0(_u4999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4997), _u4999)) )).
% 12.32/12.55 cnf(matrix-3189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4998), _u5000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4998)), c_Int_OBit0(_u5000))) )).
% 12.32/12.55 cnf(matrix-3190, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5001)), c_Int_OBit0(_u5002)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5001), _u5002))) )).
% 12.32/12.55 cnf(matrix-3191, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5003)), c_Int_OBit1(_u5004)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5003), _u5004))) )).
% 12.32/12.55 cnf(matrix-3192, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5005)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5005))) )).
% 12.32/12.55 cnf(matrix-3193, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5006)), c_Int_OBit1(_u5007)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5006), _u5007))) )).
% 12.32/12.55 cnf(matrix-3194, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5008)), c_Int_OBit0(_u5009)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5008), _u5009))) )).
% 12.32/12.55 cnf(matrix-3195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5011)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5011), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5012), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5012)), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5014)) )).
% 12.32/12.55 cnf(matrix-3198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5015)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5015))) )).
% 12.32/12.55 cnf(matrix-3199, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5016))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5017))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5016)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5017))) )).
% 12.32/12.55 cnf(matrix-3200, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5019)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5019))) )).
% 12.32/12.55 cnf(matrix-3201, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5020))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5020)))) )).
% 12.32/12.55 cnf(matrix-3202, plain, ( ( c_Int_Opred(c_Int_OBit1(_u5021)) = c_Int_OBit0(_u5021)) )).
% 12.32/12.55 cnf(matrix-3203, plain, ( ( c_Int_Opred(c_Int_OBit0(_u5022)) = c_Int_OBit1(c_Int_Opred(_u5022))) )).
% 12.32/12.55 cnf(matrix-3204, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3205, plain, ( ~class_Int_Onumber__ring(_u5023) | ~class_Int_Oring__char__0(_u5023) | ~c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), c_Int_OBit0(_u5024))) | c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), _u5024)) )).
% 12.32/12.55 cnf(matrix-3206, plain, ( ~class_Int_Onumber__ring(_u5023) | ~class_Int_Oring__char__0(_u5023) | ~c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), _u5024)) | c_Int_Oiszero(_u5023, hAPP(c_Int_Onumber__class_Onumber__of(_u5023), c_Int_OBit0(_u5024))) )).
% 12.32/12.55 cnf(matrix-3207, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u5025)) = c_Int_OBit1(_u5025)) )).
% 12.32/12.55 cnf(matrix-3208, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u5026)) = c_Int_OBit0(c_Int_Osucc(_u5026))) )).
% 12.32/12.55 cnf(matrix-3209, plain, ( ~class_Int_Onumber__ring(_u5027) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5027), c_Int_OBit0(_u5028)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(c_Int_Onumber__class_Onumber__of(_u5027), _u5028))), hAPP(c_Int_Onumber__class_Onumber__of(_u5027), _u5028))) )).
% 12.32/12.55 cnf(matrix-3210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5031)), c_Int_OBit1(_u5033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5031), _u5033)) )).
% 12.32/12.55 cnf(matrix-3211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5032), _u5034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5032)), c_Int_OBit1(_u5034))) )).
% 12.32/12.55 cnf(matrix-3212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5037)), c_Int_OBit1(_u5039))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), _u5039)) )).
% 12.32/12.55 cnf(matrix-3213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5038), _u5040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5038)), c_Int_OBit1(_u5040))) )).
% 12.32/12.55 cnf(matrix-3214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5043)), c_Int_OBit0(_u5045))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5043), _u5045)) )).
% 12.32/12.55 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5044), _u5046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5044)), c_Int_OBit0(_u5046))) )).
% 12.32/12.55 cnf(matrix-3216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5049)), c_Int_OBit0(_u5051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5049), _u5051)) )).
% 12.32/12.55 cnf(matrix-3217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5050), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5050)), c_Int_OBit0(_u5052))) )).
% 12.32/12.55 cnf(matrix-3218, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5053)), _u5054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5053), _u5054))), _u5054)) )).
% 12.32/12.55 cnf(matrix-3219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5056)) )).
% 12.32/12.55 cnf(matrix-3220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5057))) )).
% 12.32/12.55 cnf(matrix-3221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5059)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5059), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5060), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5060)), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3223, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u5061)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5061))) )).
% 12.32/12.55 cnf(matrix-3224, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5062)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5062))) )).
% 12.32/12.55 cnf(matrix-3225, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5063)), c_Int_OBit1(_u5064)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5063)), _u5064))) )).
% 12.32/12.55 cnf(matrix-3226, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5065)), c_Int_OBit1(_u5066)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5065), c_Int_Osucc(_u5066)))) )).
% 12.32/12.55 cnf(matrix-3227, plain, ( ~class_Int_Onumber__ring(_u5067) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5067), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5067), c_Groups_Oone__class_Oone(_u5067)), c_Groups_Oone__class_Oone(_u5067))), hAPP(c_Int_Onumber__class_Onumber__of(_u5067), _u5068)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5067), c_Int_OBit0(_u5068))) )).
% 12.32/12.55 cnf(matrix-3228, 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), _u5069))) | 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(_u5069)))) )).
% 12.32/12.55 cnf(matrix-3229, 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), _u5069))) | 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(_u5069)))) )).
% 12.32/12.55 cnf(matrix-3230, plain, ( ~class_Int_Onumber__ring(_u5070) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5070), hAPP(c_Int_Onumber__class_Onumber__of(_u5070), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5071) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5070), _u5071), _u5071)) )).
% 12.32/12.55 cnf(matrix-3231, plain, ( ~class_Int_Onumber__ring(_u5072) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5073), hAPP(c_Int_Onumber__class_Onumber__of(_u5072), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5072), _u5073), _u5073)) )).
% 12.32/12.55 cnf(matrix-3232, plain, ( ~class_Int_Onumber__ring(_u5074) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5074), c_Groups_Oone__class_Oone(_u5074)), c_Groups_Oone__class_Oone(_u5074)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5074), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-3233, plain, ( ~class_Rings_Osemiring__1(_u5075) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5075), c_Groups_Ozero__class_Ozero(_u5075)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5075)) )).
% 12.32/12.55 cnf(matrix-3234, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5076) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5076), _u5077), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5076)) | ( _u5077 = c_Groups_Ozero__class_Ozero(_u5076)) )).
% 12.32/12.55 cnf(matrix-3235, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5076) | ( _u5077 != c_Groups_Ozero__class_Ozero(_u5076)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5076), _u5077), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5076)) )).
% 12.32/12.55 cnf(matrix-3236, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-3237, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-3238, plain, ( ~class_Rings_Ocomm__semiring__1(_u5078) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5078), _u5079), _u5079) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5078), _u5079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3239, plain, ( ~class_Groups_Omonoid__mult(_u5080) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5080), _u5081), 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(_u5080), _u5081), _u5081)) )).
% 12.32/12.55 cnf(matrix-3240, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3241, 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)))), _u5082) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5082))) )).
% 12.32/12.55 cnf(matrix-3242, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5083), 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, _u5083))) )).
% 12.32/12.55 cnf(matrix-3243, plain, ( ~class_Rings_Osemiring__1(_u5084) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5084), c_Groups_Oone__class_Oone(_u5084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5084)) )).
% 12.32/12.55 cnf(matrix-3244, plain, ( ~class_Rings_Oring__1(_u5085) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5085), hAPP(c_Groups_Ouminus__class_Ouminus(_u5085), _u5086)), 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(_u5085), _u5086), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3245, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5087), 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), _u5087), _u5087)) )).
% 12.32/12.55 cnf(matrix-3246, 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)))), _u5088) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5088), _u5088)) )).
% 12.32/12.55 cnf(matrix-3247, plain, ( ~class_Groups_Omonoid__mult(_u5089) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), _u5090), 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)))), _u5091)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), hAPP(hAPP(c_Power_Opower__class_Opower(_u5089), _u5090), _u5091)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3248, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3249, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3250, plain, ( ~class_Rings_Olinordered__idom(_u5092) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5092), hAPP(c_Groups_Oabs__class_Oabs(_u5092), _u5093)), 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(_u5092), _u5093), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3251, plain, ( ~class_Rings_Olinordered__idom(_u5094) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5094), hAPP(hAPP(c_Power_Opower__class_Opower(_u5094), _u5095), 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(_u5094), _u5095), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3252, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-3253, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5096)), 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, _u5096, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.32/12.55 cnf(matrix-3254, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5097))), 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), _u5097), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3255, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5098)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5099))) = hAPP(hAPP(c_Groups_Otimes__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), _u5098), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5099)))) )).
% 12.32/12.55 cnf(matrix-3256, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5100), _u5100)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5100) )).
% 12.32/12.55 cnf(matrix-3257, plain, ( ~class_Rings_Olinordered__idom(_u5101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5101), c_Groups_Ozero__class_Ozero(_u5101)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5101), _u5102), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3258, plain, ( ~class_Rings_Olinordered__semidom(_u5103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5103), hAPP(hAPP(c_Power_Opower__class_Opower(_u5103), _u5104), 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(_u5103), _u5105), 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(_u5103), c_Groups_Ozero__class_Ozero(_u5103)), _u5105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5103), _u5104), _u5105)) )).
% 12.32/12.55 cnf(matrix-3259, plain, ( ~class_Rings_Olinordered__semidom(_u5106) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5107), 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(_u5106), _u5108), 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(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), _u5107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), _u5108)) | ( _u5107 = _u5108) )).
% 12.32/12.55 cnf(matrix-3260, plain, ( ~class_Rings_Olinordered__idom(_u5109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5109), c_Groups_Ozero__class_Ozero(_u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5109), _u5110), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5110 != c_Groups_Ozero__class_Ozero(_u5109)) )).
% 12.32/12.55 cnf(matrix-3261, plain, ( ~class_Rings_Olinordered__idom(_u5109) | ( _u5110 = c_Groups_Ozero__class_Ozero(_u5109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5109), c_Groups_Ozero__class_Ozero(_u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5109), _u5110), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3262, plain, ( ~class_Rings_Olinordered__idom(_u5111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5111), hAPP(hAPP(c_Power_Opower__class_Opower(_u5111), _u5112), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5111))) )).
% 12.32/12.55 cnf(matrix-3263, plain, ( ~class_Rings_Olinordered__idom(_u5113) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5114 = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.55 cnf(matrix-3264, plain, ( ~class_Rings_Olinordered__idom(_u5113) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5115 = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.55 cnf(matrix-3265, plain, ( ~class_Rings_Olinordered__idom(_u5113) | ( _u5114 != c_Groups_Ozero__class_Ozero(_u5113)) | ( _u5115 != c_Groups_Ozero__class_Ozero(_u5113)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5113), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), 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(_u5113), _u5115), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5113)) )).
% 12.32/12.55 cnf(matrix-3266, plain, ( ~class_Groups_Omonoid__mult(_u5116) | ~class_Int_Onumber(_u5116) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5116), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117)), 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(_u5116), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117)), hAPP(c_Int_Onumber__class_Onumber__of(_u5116), _u5117))) )).
% 12.32/12.55 cnf(matrix-3267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5118 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5118 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.55 cnf(matrix-3268, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.55 cnf(matrix-3269, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5119), c_Groups_Oone__class_Oone(_u5119))) )).
% 12.32/12.55 cnf(matrix-3270, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 != c_Groups_Oone__class_Oone(_u5119)) )).
% 12.32/12.55 cnf(matrix-3271, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5119) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5119), _u5120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5119)) | ( _u5120 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5119), c_Groups_Oone__class_Oone(_u5119))) )).
% 12.32/12.55 cnf(matrix-3272, plain, ( ~class_Rings_Ocomm__semiring__1(_u5121) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), 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)))), _u5123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5121), hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), _u5123)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5121), _u5122), _u5123))) )).
% 12.32/12.55 cnf(matrix-3273, plain, ( ~class_Rings_Oring__1(_u5124) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5124), hAPP(c_Groups_Ouminus__class_Ouminus(_u5124), _u5125)), 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)))), _u5126)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5124), _u5125), 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)))), _u5126))) )).
% 12.32/12.55 cnf(matrix-3274, plain, ( ~class_Rings_Olinordered__semidom(_u5127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), hAPP(hAPP(c_Power_Opower__class_Opower(_u5127), _u5128), 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(_u5127), _u5129), 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(_u5127), c_Groups_Ozero__class_Ozero(_u5127)), _u5129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) )).
% 12.32/12.55 cnf(matrix-3275, plain, ( ~class_Rings_Olinordered__idom(_u5130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) | ( _u5131 = c_Groups_Ozero__class_Ozero(_u5130)) )).
% 12.32/12.55 cnf(matrix-3276, plain, ( ~class_Rings_Olinordered__idom(_u5130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) | ( _u5132 = c_Groups_Ozero__class_Ozero(_u5130)) )).
% 12.32/12.55 cnf(matrix-3277, plain, ( ~class_Rings_Olinordered__idom(_u5130) | ( _u5131 != c_Groups_Ozero__class_Ozero(_u5130)) | ( _u5132 != c_Groups_Ozero__class_Ozero(_u5130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5130), hAPP(hAPP(c_Power_Opower__class_Opower(_u5130), _u5131), 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(_u5130), _u5132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5130))) )).
% 12.32/12.55 cnf(matrix-3278, plain, ( ~class_Rings_Olinordered__idom(_u5133) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5133), c_Groups_Ozero__class_Ozero(_u5133)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5133), hAPP(hAPP(c_Power_Opower__class_Opower(_u5133), _u5134), 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(_u5133), _u5135), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.32/12.55 cnf(matrix-3279, plain, ( ~class_Rings_Olinordered__idom(_u5136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5136), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5136), hAPP(hAPP(c_Power_Opower__class_Opower(_u5136), _u5137), 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(_u5136), _u5138), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5136))) )).
% 12.32/12.55 cnf(matrix-3280, plain, ( ~class_Rings_Olinordered__idom(_u5139) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5140 != c_Groups_Ozero__class_Ozero(_u5139)) | ( _u5141 != c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.55 cnf(matrix-3281, plain, ( ~class_Rings_Olinordered__idom(_u5139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5140 = c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.55 cnf(matrix-3282, plain, ( ~class_Rings_Olinordered__idom(_u5139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), hAPP(hAPP(c_Power_Opower__class_Opower(_u5139), _u5140), 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(_u5139), _u5141), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5141 = c_Groups_Ozero__class_Ozero(_u5139)) )).
% 12.32/12.55 cnf(matrix-3283, plain, ( ~class_Int_Onumber__ring(_u5142) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), _u5143), _u5144)), 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(_u5142), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), _u5143), 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(_u5142), _u5144), 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(_u5142), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5142), hAPP(c_Int_Onumber__class_Onumber__of(_u5142), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5143)), _u5144))) )).
% 12.32/12.55 cnf(matrix-3284, plain, ( ~class_Rings_Olinordered__idom(_u5145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5145), _u5146), 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)))), _u5147)))) )).
% 12.32/12.55 cnf(matrix-3285, plain, ( ~class_Rings_Ocomm__semiring__1(_u5148) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), 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)))), _u5150))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), _u5150)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5148), _u5149), _u5150)))) )).
% 12.32/12.55 cnf(matrix-3286, plain, ( ~class_Groups_Omonoid__mult(_u5151) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), _u5152), 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)))), _u5153))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5151), _u5152), hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), _u5152), _u5153)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3287, plain, ( ~class_Rings_Oring__1(_u5154) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5154), hAPP(c_Groups_Ouminus__class_Ouminus(_u5154), c_Groups_Oone__class_Oone(_u5154))), 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)))), _u5155)) = c_Groups_Oone__class_Oone(_u5154)) )).
% 12.32/12.55 cnf(matrix-3288, 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), _u5158))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5160))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5158))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5160)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5158))) )).
% 12.32/12.55 cnf(matrix-3289, 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), _u5159))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5161))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5159))) = 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), _u5161)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5159))) )).
% 12.32/12.55 cnf(matrix-3290, 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, _u5163, 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, _u5163, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.55 cnf(matrix-3291, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5164, 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, _u5164, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5165)) | 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), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3293, plain, ( ~class_Int_Onumber__ring(_u5166) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5166), _u5167), _u5168)), 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(_u5166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5166), hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), _u5167), 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(_u5166), _u5168), 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(_u5166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5166), hAPP(c_Int_Onumber__class_Onumber__of(_u5166), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5167)), _u5168))) )).
% 12.32/12.55 cnf(matrix-3294, plain, ( ~class_Rings_Olinordered__idom(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5169), _u5170), 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)))), _u5171))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) )).
% 12.32/12.55 cnf(matrix-3295, plain, ( ~class_Rings_Olinordered__idom(_u5172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5172), _u5173), c_Groups_Ozero__class_Ozero(_u5172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5172), hAPP(hAPP(c_Power_Opower__class_Opower(_u5172), _u5173), 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)))), _u5174)))), c_Groups_Ozero__class_Ozero(_u5172))) )).
% 12.32/12.55 cnf(matrix-3296, plain, ( ~class_Rings_Oring__1(_u5175) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5175), hAPP(c_Groups_Ouminus__class_Ouminus(_u5175), c_Groups_Oone__class_Oone(_u5175))), 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)))), _u5176))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5175), c_Groups_Oone__class_Oone(_u5175))) )).
% 12.32/12.55 cnf(matrix-3297, plain, ( ~class_Int_Onumber__ring(_u5177) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5177), hAPP(c_Int_Onumber__class_Onumber__of(_u5177), 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)))), _u5178)) = c_Groups_Oone__class_Oone(_u5177)) )).
% 12.32/12.55 cnf(matrix-3298, plain, ( ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5179), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), 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)))), _u5180))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OMin)) )).
% 12.32/12.55 cnf(matrix-3299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5181)) | 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), _u5181), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3300, plain, ( ( _u5183 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5183) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.55 cnf(matrix-3301, plain, ( ( _u5184 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5184, 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, _u5184) = hAPP(hAPP(c_Groups_Otimes__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), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.32/12.55 cnf(matrix-3302, plain, ( ( _u5184 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5184, 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, _u5184) = 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), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.55 cnf(matrix-3303, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.32/12.55 cnf(matrix-3304, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5185) | ~class_Int_Onumber__ring(_u5185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5185), _u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5185), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), _u5186)) )).
% 12.32/12.55 cnf(matrix-3305, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5185) | ~class_Int_Onumber__ring(_u5185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), _u5186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5185), c_Groups_Ozero__class_Ozero(_u5185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5185), _u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5185), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3306, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5187) | ~class_Int_Onumber__ring(_u5187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5187), c_Groups_Ozero__class_Ozero(_u5187)), _u5188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5187), c_Groups_Ozero__class_Ozero(_u5187)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5187), _u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5187), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.55 cnf(matrix-3307, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.55 cnf(matrix-3308, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.55 cnf(matrix-3309, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.55 cnf(matrix-3310, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem84(_u5194, _u5193, _u5192, _u5191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.55 cnf(matrix-3311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.55 cnf(matrix-3312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.55 cnf(matrix-3313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.55 cnf(matrix-3314, 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(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5191), skolem85(_u5194, _u5193, _u5192, _u5191))) )).
% 12.32/12.55 cnf(matrix-3315, 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(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5194, _u5193, _u5192, _u5191)), _u5192)) )).
% 12.32/12.55 cnf(matrix-3316, 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(_u5193, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5194, _u5193, _u5192, _u5191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5193, skolem84(_u5194, _u5193, _u5192, _u5191))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5191), _u5192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5193, _u5191)), _u5194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5194), hAPP(_u5193, _u5192))) | ( hAPP(_u5193, skolem85(_u5194, _u5193, _u5192, _u5191)) = _u5194) )).
% 12.32/12.55 cnf(matrix-3317, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.55 cnf(matrix-3318, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5195) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5195), _u5196), c_Groups_Ozero__class_Ozero(_u5195)) = c_Groups_Ozero__class_Ozero(_u5195)) )).
% 12.32/12.55 cnf(matrix-3319, plain, ( ~class_Rings_Odivision__ring(_u5197) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), c_Groups_Ozero__class_Ozero(_u5197)), _u5198) = c_Groups_Ozero__class_Ozero(_u5197)) )).
% 12.32/12.55 cnf(matrix-3320, plain, ( ~class_Rings_Odivision__ring(_u5199) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5199), _u5200), _u5201)), _u5202) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5199), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), _u5200), _u5202)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5199), _u5201), _u5202))) )).
% 12.32/12.56 cnf(matrix-3321, plain, ( ~class_Fields_Ofield__inverse__zero(_u5203) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5204), _u5205)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5206), _u5207)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), _u5204), _u5206)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5203), _u5205), _u5207))) )).
% 12.32/12.56 cnf(matrix-3322, plain, ( ~class_Rings_Odivision__ring(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5208), _u5210), _u5211)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5210)), _u5211)) )).
% 12.32/12.56 cnf(matrix-3323, plain, ( ~class_Rings_Odivision__ring(_u5212) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5212), _u5213), _u5214)), _u5215) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5212), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), _u5213), _u5215)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5212), _u5214), _u5215))) )).
% 12.32/12.56 cnf(matrix-3324, plain, ( ~class_Rings_Odivision__ring(_u5216) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5216), _u5217), c_Groups_Oone__class_Oone(_u5216)) = _u5217) )).
% 12.32/12.56 cnf(matrix-3325, plain, ( ~class_Fields_Ofield__inverse__zero(_u5218) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5218), hAPP(c_Groups_Ouminus__class_Ouminus(_u5218), _u5219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5218), _u5220)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5218), _u5219), _u5220)) )).
% 12.32/12.56 cnf(matrix-3326, plain, ( ~class_Fields_Ofield__inverse__zero(_u5221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5221), _u5222), _u5223)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5221), _u5222), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), _u5223))) )).
% 12.32/12.56 cnf(matrix-3327, plain, ( ~class_Rings_Odivision__ring(_u5224) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5225), _u5226)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), hAPP(c_Groups_Ouminus__class_Ouminus(_u5224), _u5225)), _u5226)) )).
% 12.32/12.56 cnf(matrix-3328, plain, ( ~class_Fields_Ofield__inverse__zero(_u5227) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5227), _u5228), _u5229)), _u5230) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5227), hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), _u5228), _u5230)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5227), _u5229), _u5230))) )).
% 12.32/12.56 cnf(matrix-3329, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5231) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5231), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5231), _u5232), _u5233)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5231), hAPP(c_Groups_Oabs__class_Oabs(_u5231), _u5232)), hAPP(c_Groups_Oabs__class_Oabs(_u5231), _u5233))) )).
% 12.32/12.56 cnf(matrix-3330, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3331, plain, ( ~c_Nat__Transfer_Ois__nat(_u5234) | ~c_Nat__Transfer_Ois__nat(_u5235) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5234), _u5235)) )).
% 12.32/12.56 cnf(matrix-3332, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5236)) )).
% 12.32/12.56 cnf(matrix-3333, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3334, plain, ( ~c_Nat__Transfer_Ois__nat(_u5237) | ~c_Nat__Transfer_Ois__nat(_u5238) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5237), _u5238)) )).
% 12.32/12.56 cnf(matrix-3335, plain, ( ~c_Nat__Transfer_Ois__nat(_u5239) | ~c_Nat__Transfer_Ois__nat(_u5240) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5239, _u5240)) )).
% 12.32/12.56 cnf(matrix-3336, plain, ( ~c_Nat__Transfer_Ois__nat(_u5241) | ~c_Nat__Transfer_Ois__nat(_u5242) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5241), _u5242)) )).
% 12.32/12.56 cnf(matrix-3337, plain, ( ~c_Nat__Transfer_Ois__nat(_u5243) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5243), _u5244)) )).
% 12.32/12.56 cnf(matrix-3338, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.56 cnf(matrix-3339, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.56 cnf(matrix-3340, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.56 cnf(matrix-3341, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.56 cnf(matrix-3342, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), _u5247)) )).
% 12.32/12.56 cnf(matrix-3343, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), c_Groups_Ozero__class_Ozero(_u5245)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5245), _u5246), _u5247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5246), c_Groups_Ozero__class_Ozero(_u5245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5245), _u5247), c_Groups_Ozero__class_Ozero(_u5245))) )).
% 12.32/12.56 cnf(matrix-3344, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.56 cnf(matrix-3345, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.56 cnf(matrix-3346, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.56 cnf(matrix-3347, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.56 cnf(matrix-3348, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5250), c_Groups_Ozero__class_Ozero(_u5248))) )).
% 12.32/12.56 cnf(matrix-3349, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5248) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5248), _u5249), _u5250)), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), _u5249), c_Groups_Ozero__class_Ozero(_u5248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5248), c_Groups_Ozero__class_Ozero(_u5248)), _u5250)) )).
% 12.32/12.56 cnf(matrix-3350, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), _u5252), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), c_Groups_Ozero__class_Ozero(_u5251)), _u5254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5251), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5252), _u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5253), _u5254))) )).
% 12.32/12.56 cnf(matrix-3351, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5256), _u5258))) )).
% 12.32/12.56 cnf(matrix-3352, plain, ( ~class_Fields_Olinordered__field(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5260), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5262), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5261), _u5262)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5262))) )).
% 12.32/12.56 cnf(matrix-3353, plain, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), _u5264), _u5265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5264), _u5266)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5266))) )).
% 12.32/12.56 cnf(matrix-3354, plain, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), _u5268), c_Groups_Ozero__class_Ozero(_u5267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), _u5269), c_Groups_Ozero__class_Ozero(_u5267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5268), _u5269))) )).
% 12.32/12.56 cnf(matrix-3355, plain, ( ~class_Fields_Olinordered__field(_u5270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), _u5271), c_Groups_Ozero__class_Ozero(_u5270))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), c_Groups_Ozero__class_Ozero(_u5270)), _u5272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5270), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5271), _u5272)), c_Groups_Ozero__class_Ozero(_u5270))) )).
% 12.32/12.56 cnf(matrix-3356, plain, ( ~class_Fields_Olinordered__field(_u5273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), c_Groups_Ozero__class_Ozero(_u5273)), _u5274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), _u5275), c_Groups_Ozero__class_Ozero(_u5273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5273), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5274), _u5275)), c_Groups_Ozero__class_Ozero(_u5273))) )).
% 12.32/12.56 cnf(matrix-3357, plain, ( ~class_Fields_Olinordered__field(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), _u5277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), _u5278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Ozero__class_Ozero(_u5276)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5276), _u5277), _u5278))) )).
% 12.32/12.56 cnf(matrix-3358, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.56 cnf(matrix-3359, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.56 cnf(matrix-3360, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.56 cnf(matrix-3361, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.56 cnf(matrix-3362, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5281), c_Groups_Ozero__class_Ozero(_u5279))) )).
% 12.32/12.56 cnf(matrix-3363, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5279) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5281)), c_Groups_Ozero__class_Ozero(_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(_u5279), c_Groups_Ozero__class_Ozero(_u5279)), _u5281)) )).
% 12.32/12.56 cnf(matrix-3364, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.56 cnf(matrix-3365, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.56 cnf(matrix-3366, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.56 cnf(matrix-3367, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.56 cnf(matrix-3368, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), _u5284)) )).
% 12.32/12.56 cnf(matrix-3369, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), c_Groups_Ozero__class_Ozero(_u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5282), _u5283), _u5284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5283), c_Groups_Ozero__class_Ozero(_u5282))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5282), _u5284), c_Groups_Ozero__class_Ozero(_u5282))) )).
% 12.32/12.56 cnf(matrix-3370, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 = c_Groups_Ozero__class_Ozero(_u5285)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) = _u5287) )).
% 12.32/12.56 cnf(matrix-3371, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 != c_Groups_Ozero__class_Ozero(_u5285)) | ( _u5286 = c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.56 cnf(matrix-3372, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( _u5288 != c_Groups_Ozero__class_Ozero(_u5285)) | ( _u5286 != c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.56 cnf(matrix-3373, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) != _u5287) | ( _u5288 = c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.56 cnf(matrix-3374, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( _u5286 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5287), _u5288)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5285), _u5286), _u5288) != _u5287) | ( _u5286 != c_Groups_Ozero__class_Ozero(_u5285)) )).
% 12.32/12.56 cnf(matrix-3375, plain, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) != _u5292) | ( _u5291 = c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5290 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) )).
% 12.32/12.56 cnf(matrix-3376, plain, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) != _u5292) | ( _u5291 != c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5292 = c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.56 cnf(matrix-3377, plain, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5291 != c_Groups_Ozero__class_Ozero(_u5289)) | ( _u5292 != c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.56 cnf(matrix-3378, plain, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) | ( _u5291 = c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.56 cnf(matrix-3379, plain, ( ~class_Fields_Ofield__inverse__zero(_u5289) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5289), _u5290), _u5291) = _u5292) | ( _u5290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5289), _u5292), _u5291)) | ( _u5292 != c_Groups_Ozero__class_Ozero(_u5289)) )).
% 12.32/12.56 cnf(matrix-3380, plain, ( ~class_Fields_Ofield__inverse__zero(_u5293) | ( _u5294 = c_Groups_Ozero__class_Ozero(_u5293)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5293), _u5295), _u5294)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5293), _u5296), _u5294)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), _u5295), _u5296)) )).
% 12.32/12.56 cnf(matrix-3381, plain, ( ~class_Fields_Ofield__inverse__zero(_u5297) | ( _u5298 = c_Groups_Ozero__class_Ozero(_u5297)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5297), _u5298), _u5299)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5297), _u5298), _u5300)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5297), _u5299), _u5300)) )).
% 12.32/12.56 cnf(matrix-3382, plain, ( ~class_Fields_Ofield(_u5301) | ( _u5302 = c_Groups_Ozero__class_Ozero(_u5301)) | ( _u5303 = c_Groups_Ozero__class_Ozero(_u5301)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5304), _u5302) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5305), _u5303)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5304), _u5303) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5305), _u5302)) )).
% 12.32/12.56 cnf(matrix-3383, plain, ( ~class_Fields_Ofield(_u5301) | ( _u5302 = c_Groups_Ozero__class_Ozero(_u5301)) | ( _u5303 = c_Groups_Ozero__class_Ozero(_u5301)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5304), _u5303) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5305), _u5302)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5304), _u5302) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5301), _u5305), _u5303)) )).
% 12.32/12.56 cnf(matrix-3384, plain, ( ~class_Rings_Odivision__ring(_u5306) | ( _u5307 = c_Groups_Ozero__class_Ozero(_u5306)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5306), _u5308), _u5307) != _u5309) | ( _u5308 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5306), _u5309), _u5307)) )).
% 12.32/12.56 cnf(matrix-3385, plain, ( ~class_Rings_Odivision__ring(_u5310) | ( _u5311 = c_Groups_Ozero__class_Ozero(_u5310)) | ( _u5312 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), _u5313), _u5311)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5310), _u5312), _u5311) = _u5313) )).
% 12.32/12.56 cnf(matrix-3386, plain, ( ~class_Rings_Odivision__ring(_u5314) | ( _u5315 = c_Groups_Ozero__class_Ozero(_u5314)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5314), _u5316), _u5315) != _u5317) | ( _u5316 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5314), _u5317), _u5315)) )).
% 12.32/12.56 cnf(matrix-3387, plain, ( ~class_Rings_Odivision__ring(_u5314) | ( _u5315 = c_Groups_Ozero__class_Ozero(_u5314)) | ( _u5316 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5314), _u5317), _u5315)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5314), _u5316), _u5315) = _u5317) )).
% 12.32/12.56 cnf(matrix-3388, plain, ( ~class_Rings_Odivision__ring(_u5318) | ( _u5319 = c_Groups_Ozero__class_Ozero(_u5318)) | ( _u5320 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5321), _u5319)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5318), _u5320), _u5319) = _u5321) )).
% 12.32/12.56 cnf(matrix-3389, plain, ( ~class_Rings_Odivision__ring(_u5318) | ( _u5319 = c_Groups_Ozero__class_Ozero(_u5318)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5318), _u5320), _u5319) != _u5321) | ( _u5320 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5321), _u5319)) )).
% 12.32/12.56 cnf(matrix-3390, plain, ( ~class_Rings_Odivision__ring(_u5322) | ( _u5323 = c_Groups_Ozero__class_Ozero(_u5322)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5323) != c_Groups_Oone__class_Oone(_u5322)) | ( _u5324 = _u5323) )).
% 12.32/12.56 cnf(matrix-3391, plain, ( ~class_Rings_Odivision__ring(_u5322) | ( _u5323 = c_Groups_Ozero__class_Ozero(_u5322)) | ( _u5324 != _u5323) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5323) = c_Groups_Oone__class_Oone(_u5322)) )).
% 12.32/12.56 cnf(matrix-3392, plain, ( ~class_Rings_Odivision__ring(_u5325) | ( _u5326 = c_Groups_Ozero__class_Ozero(_u5325)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5326) = c_Groups_Oone__class_Oone(_u5325)) )).
% 12.32/12.56 cnf(matrix-3393, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5327) | ( _u5328 != c_Groups_Ozero__class_Ozero(_u5327)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5328) = c_Groups_Ozero__class_Ozero(_u5327)) )).
% 12.32/12.56 cnf(matrix-3394, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5327) | ( _u5328 = c_Groups_Ozero__class_Ozero(_u5327)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5328) = c_Groups_Oone__class_Oone(_u5327)) )).
% 12.32/12.56 cnf(matrix-3395, plain, ( ~class_Rings_Odivision__ring(_u5329) | ( _u5330 = c_Groups_Ozero__class_Ozero(_u5329)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), hAPP(c_Groups_Ouminus__class_Ouminus(_u5329), _u5331)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5329), _u5330)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5331), _u5330)) )).
% 12.32/12.56 cnf(matrix-3396, plain, ( ~class_Rings_Odivision__ring(_u5332) | ( _u5333 = c_Groups_Ozero__class_Ozero(_u5332)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5332), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5334), _u5333)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5334), hAPP(c_Groups_Ouminus__class_Ouminus(_u5332), _u5333))) )).
% 12.32/12.56 cnf(matrix-3397, plain, ( ~class_Fields_Ofield(_u5335) | ( _u5336 = c_Groups_Ozero__class_Ozero(_u5335)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5337), _u5336)), _u5338) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), _u5337), _u5338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5335), _u5336), _u5338))) )).
% 12.32/12.56 cnf(matrix-3398, plain, ( ~class_Fields_Olinordered__field(_u5339) | ( _u5340 = c_Groups_Ozero__class_Ozero(_u5339)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5339), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), _u5341), _u5340)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), hAPP(c_Groups_Oabs__class_Oabs(_u5339), _u5341)), hAPP(c_Groups_Oabs__class_Oabs(_u5339), _u5340))) )).
% 12.32/12.56 cnf(matrix-3399, plain, ( ~class_Fields_Ofield__inverse__zero(_u5342) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), c_Groups_Oone__class_Oone(_u5342)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5342), _u5343), _u5344)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5342), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), c_Groups_Oone__class_Oone(_u5342)), _u5343)), _u5344)) )).
% 12.32/12.56 cnf(matrix-3400, plain, ( ~c_Nat__Transfer_Ois__nat(_u5345) | ~c_Nat__Transfer_Ois__nat(_u5346) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5345, _u5346)) )).
% 12.32/12.56 cnf(matrix-3401, plain, ( ~class_Fields_Olinordered__field(_u5347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5347), _u5348), c_Groups_Ozero__class_Ozero(_u5347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5347), _u5349), c_Groups_Ozero__class_Ozero(_u5347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5347), c_Groups_Ozero__class_Ozero(_u5347)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), _u5348), _u5349))) )).
% 12.32/12.56 cnf(matrix-3402, plain, ( ~class_Fields_Olinordered__field(_u5350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5350), _u5351), c_Groups_Ozero__class_Ozero(_u5350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Ozero__class_Ozero(_u5350)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5350), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), _u5352)), c_Groups_Ozero__class_Ozero(_u5350))) )).
% 12.32/12.56 cnf(matrix-3403, plain, ( ~class_Fields_Olinordered__field(_u5353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), c_Groups_Ozero__class_Ozero(_u5353)), _u5354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), _u5354), _u5355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5353), c_Groups_Ozero__class_Ozero(_u5353)), _u5356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), _u5356), _u5357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5353), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5354), _u5357)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5355), _u5356))) )).
% 12.32/12.56 cnf(matrix-3404, plain, ( ~class_Fields_Olinordered__field(_u5358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5358), c_Groups_Ozero__class_Ozero(_u5358)), _u5359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), _u5359), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), c_Groups_Ozero__class_Ozero(_u5358)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5358), _u5361), _u5362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5358), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5358), _u5359), _u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5358), _u5360), _u5361))) )).
% 12.32/12.56 cnf(matrix-3405, plain, ( ~class_Fields_Olinordered__field(_u5363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), c_Groups_Ozero__class_Ozero(_u5363)), _u5364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5363), _u5364), _u5365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), c_Groups_Ozero__class_Ozero(_u5363)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), _u5366), _u5367)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5363), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5363), _u5364), _u5367)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5363), _u5365), _u5366))) )).
% 12.32/12.56 cnf(matrix-3406, plain, ( ~class_Fields_Olinordered__field(_u5368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5368), c_Groups_Ozero__class_Ozero(_u5368)), _u5369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5368), _u5370), c_Groups_Ozero__class_Ozero(_u5368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5368), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5369), _u5370)), c_Groups_Ozero__class_Ozero(_u5368))) )).
% 12.32/12.56 cnf(matrix-3407, plain, ( ~class_Fields_Olinordered__field(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5371), _u5372), _u5373))) )).
% 12.32/12.56 cnf(matrix-3408, plain, ( ~class_Fields_Olinordered__field(_u5374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), _u5375), _u5376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), _u5377), c_Groups_Ozero__class_Ozero(_u5374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), c_Groups_Ozero__class_Ozero(_u5374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5374), _u5375), _u5376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5374), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5374), _u5377), _u5375)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5374), _u5377), _u5376))) )).
% 12.32/12.56 cnf(matrix-3409, plain, ( ~class_Fields_Olinordered__field(_u5378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), _u5379), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), c_Groups_Ozero__class_Ozero(_u5378)), _u5381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), c_Groups_Ozero__class_Ozero(_u5378)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5378), _u5380), _u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5378), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5380)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5379))) )).
% 12.32/12.56 cnf(matrix-3410, plain, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), _u5383), c_Groups_Ozero__class_Ozero(_u5382))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383)), _u5385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)), _u5384)) )).
% 12.32/12.56 cnf(matrix-3411, plain, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), _u5383), c_Groups_Ozero__class_Ozero(_u5382))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)), _u5384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383)), _u5385)) )).
% 12.32/12.56 cnf(matrix-3412, plain, ( ~class_Fields_Olinordered__field(_u5386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5387), c_Groups_Ozero__class_Ozero(_u5386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5388), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5389), _u5387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5388), _u5387))) )).
% 12.32/12.56 cnf(matrix-3413, plain, ( ~class_Fields_Olinordered__field(_u5386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5387), c_Groups_Ozero__class_Ozero(_u5386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5388), _u5387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5386), _u5388), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5389), _u5387))) )).
% 12.32/12.56 cnf(matrix-3414, plain, ( ~class_Fields_Olinordered__field(_u5390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), c_Groups_Ozero__class_Ozero(_u5390)), _u5391)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391)), _u5393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5390), _u5392), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391))) )).
% 12.32/12.56 cnf(matrix-3415, plain, ( ~class_Fields_Olinordered__field(_u5394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), c_Groups_Ozero__class_Ozero(_u5394)), _u5395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), _u5396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5394), _u5397), _u5395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5394), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395)), _u5397)) )).
% 12.32/12.56 cnf(matrix-3416, plain, ( ~class_Fields_Olinordered__field(_u5398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), c_Groups_Ozero__class_Ozero(_u5398)), _u5399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5398), _u5400), _u5399)), _u5401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5398), _u5401), _u5399))) )).
% 12.32/12.56 cnf(matrix-3417, plain, ( ~class_Fields_Olinordered__field(_u5398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), c_Groups_Ozero__class_Ozero(_u5398)), _u5399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5398), _u5401), _u5399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5398), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5398), _u5400), _u5399)), _u5401)) )).
% 12.32/12.56 cnf(matrix-3418, plain, ( ~class_Fields_Olinordered__field(_u5402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), c_Groups_Ozero__class_Ozero(_u5402)), _u5403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), _u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5405), _u5403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5402), _u5404), _u5403)), _u5405)) )).
% 12.32/12.56 cnf(matrix-3419, plain, ( ~class_Fields_Olinordered__field(_u5402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), c_Groups_Ozero__class_Ozero(_u5402)), _u5403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5402), _u5404), _u5403)), _u5405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5402), _u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5405), _u5403))) )).
% 12.32/12.56 cnf(matrix-3420, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) )).
% 12.32/12.56 cnf(matrix-3421, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) )).
% 12.32/12.56 cnf(matrix-3422, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.56 cnf(matrix-3423, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.56 cnf(matrix-3424, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) )).
% 12.32/12.56 cnf(matrix-3425, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.56 cnf(matrix-3426, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5408)) )).
% 12.32/12.56 cnf(matrix-3427, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.56 cnf(matrix-3428, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5408), c_Groups_Ozero__class_Ozero(_u5406))) )).
% 12.32/12.56 cnf(matrix-3429, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5407), _u5408)), _u5409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), _u5407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5406), _u5409), _u5408)), _u5407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5406), c_Groups_Ozero__class_Ozero(_u5406)), _u5409)) )).
% 12.32/12.56 cnf(matrix-3430, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) )).
% 12.32/12.56 cnf(matrix-3431, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) )).
% 12.32/12.56 cnf(matrix-3432, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3433, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3434, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3435, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3436, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), c_Groups_Ozero__class_Ozero(_u5410)), _u5413)) )).
% 12.32/12.56 cnf(matrix-3437, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3438, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5413), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3439, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5410), _u5412), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413)), _u5412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5410), _u5411), _u5413))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5410), _u5411), c_Groups_Ozero__class_Ozero(_u5410))) )).
% 12.32/12.56 cnf(matrix-3440, plain, ( ~c_Nat__Transfer_Ois__nat(_u5415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5415)) )).
% 12.32/12.56 cnf(matrix-3441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5416)) | c_Nat__Transfer_Ois__nat(_u5416) )).
% 12.32/12.56 cnf(matrix-3442, plain, ( ~class_Fields_Ofield__inverse__zero(_u5417) | ( _u5418 = c_Groups_Ozero__class_Ozero(_u5417)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5419), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), _u5420), _u5418)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5417), _u5419), _u5418))), _u5418)) )).
% 12.32/12.56 cnf(matrix-3443, plain, ( ~class_Fields_Ofield(_u5421) | ( _u5422 = c_Groups_Ozero__class_Ozero(_u5421)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5423), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5421), _u5424), _u5422)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5421), _u5422), _u5423)), _u5424)), _u5422)) )).
% 12.32/12.56 cnf(matrix-3444, plain, ( ~class_Fields_Ofield__inverse__zero(_u5425) | ( _u5426 = c_Groups_Ozero__class_Ozero(_u5425)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5426)), _u5428) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5425), _u5428), _u5426))), _u5426)) )).
% 12.32/12.56 cnf(matrix-3445, plain, ( ~class_Fields_Ofield(_u5429) | ( _u5430 = c_Groups_Ozero__class_Ozero(_u5429)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), _u5431), _u5430)), _u5432) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5429), _u5430), _u5432))), _u5430)) )).
% 12.32/12.56 cnf(matrix-3446, plain, ( ~class_Fields_Ofield(_u5433) | ( _u5434 = c_Groups_Ozero__class_Ozero(_u5433)) | ( _u5435 = c_Groups_Ozero__class_Ozero(_u5433)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5436), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5437), _u5435)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5436), _u5435)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5437), _u5434))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5433), _u5434), _u5435))) )).
% 12.32/12.56 cnf(matrix-3447, plain, ( ~class_Fields_Ofield(_u5438) | ( _u5439 = c_Groups_Ozero__class_Ozero(_u5438)) | ( _u5440 = c_Groups_Ozero__class_Ozero(_u5438)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5441), _u5439)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5442), _u5440)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5441), _u5440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5442), _u5439))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5439), _u5440))) )).
% 12.32/12.56 cnf(matrix-3448, plain, ( ~class_Fields_Ofield(_u5443) | ( _u5444 = c_Groups_Ozero__class_Ozero(_u5443)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5443), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5445), _u5444)), _u5446) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5443), _u5445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5443), _u5444), _u5446))), _u5444)) )).
% 12.32/12.56 cnf(matrix-3449, plain, ( ~class_Fields_Ofield(_u5447) | ( _u5448 = c_Groups_Ozero__class_Ozero(_u5447)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5447), _u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5450), _u5448)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5448), _u5449)), _u5450)), _u5448)) )).
% 12.32/12.56 cnf(matrix-3450, plain, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) = c_Groups_Ozero__class_Ozero(_u5451)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) = _u5453) )).
% 12.32/12.56 cnf(matrix-3451, plain, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) != c_Groups_Ozero__class_Ozero(_u5451)) | ( _u5452 = c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.56 cnf(matrix-3452, plain, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) != c_Groups_Ozero__class_Ozero(_u5451)) | ( _u5452 != c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.56 cnf(matrix-3453, plain, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) != _u5453) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454) = c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.56 cnf(matrix-3454, plain, ( ~class_Fields_Ofield__inverse__zero(_u5451) | ~class_Int_Onumber(_u5451) | ( _u5452 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5453), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5452), hAPP(c_Int_Onumber__class_Onumber__of(_u5451), _u5454)) != _u5453) | ( _u5452 != c_Groups_Ozero__class_Ozero(_u5451)) )).
% 12.32/12.56 cnf(matrix-3455, plain, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 = c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) = _u5457) )).
% 12.32/12.56 cnf(matrix-3456, plain, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 != c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.56 cnf(matrix-3457, plain, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( _u5458 != c_Groups_Ozero__class_Ozero(_u5455)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.56 cnf(matrix-3458, plain, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) != _u5457) | ( _u5458 = c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.56 cnf(matrix-3459, plain, ( ~class_Fields_Ofield__inverse__zero(_u5455) | ~class_Int_Onumber(_u5455) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5457), _u5458)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456)), _u5458) != _u5457) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5455), _u5456) != c_Groups_Ozero__class_Ozero(_u5455)) )).
% 12.32/12.56 cnf(matrix-3460, plain, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) != hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 = c_Groups_Ozero__class_Ozero(_u5459)) | ( _u5460 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) )).
% 12.32/12.56 cnf(matrix-3461, plain, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) != hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 != c_Groups_Ozero__class_Ozero(_u5459)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) = c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.56 cnf(matrix-3462, plain, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5461 != c_Groups_Ozero__class_Ozero(_u5459)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) != c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.56 cnf(matrix-3463, plain, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5460 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) | ( _u5461 = c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.56 cnf(matrix-3464, plain, ( ~class_Fields_Ofield__inverse__zero(_u5459) | ~class_Int_Onumber(_u5459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5460), _u5461) = hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)) | ( _u5460 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462)), _u5461)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5459), _u5462) != c_Groups_Ozero__class_Ozero(_u5459)) )).
% 12.32/12.56 cnf(matrix-3465, plain, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) != _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) = c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5464 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) )).
% 12.32/12.56 cnf(matrix-3466, plain, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) != _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) != c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5466 = c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.56 cnf(matrix-3467, plain, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) != c_Groups_Ozero__class_Ozero(_u5463)) | ( _u5466 != c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.56 cnf(matrix-3468, plain, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( _u5464 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465) = c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.56 cnf(matrix-3469, plain, ( ~class_Fields_Ofield__inverse__zero(_u5463) | ~class_Int_Onumber(_u5463) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5464), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465)) = _u5466) | ( _u5464 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), hAPP(c_Int_Onumber__class_Onumber__of(_u5463), _u5465))) | ( _u5466 != c_Groups_Ozero__class_Ozero(_u5463)) )).
% 12.32/12.56 cnf(matrix-3470, plain, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5468), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), _u5469)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), c_Groups_Oone__class_Oone(_u5467)), c_Groups_Oone__class_Oone(_u5467)))), _u5469)) )).
% 12.32/12.56 cnf(matrix-3471, plain, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5471), _u5472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5470), _u5471), _u5472)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5470), c_Groups_Oone__class_Oone(_u5470)), c_Groups_Oone__class_Oone(_u5470))))) )).
% 12.32/12.56 cnf(matrix-3472, plain, ( ~class_Fields_Ofield__inverse__zero(_u5473) | ~class_Int_Onumber__ring(_u5473) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), hAPP(c_Int_Onumber__class_Onumber__of(_u5473), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5473)) )).
% 12.32/12.56 cnf(matrix-3473, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5476)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), hAPP(c_Groups_Oabs__class_Oabs(_u5475), _u5477)), _u5476) = hAPP(c_Groups_Oabs__class_Oabs(_u5475), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5476))) )).
% 12.32/12.56 cnf(matrix-3474, plain, ( ~class_Fields_Ofield(_u5478) | ~class_Int_Onumber__ring(_u5478) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), hAPP(c_Int_Onumber__class_Onumber__of(_u5478), c_Int_OBit1(c_Int_OPls))) = _u5479) )).
% 12.32/12.56 cnf(matrix-3475, plain, ( ~class_Fields_Ofield(_u5480) | ~class_Int_Onumber__ring(_u5480) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5480), _u5481), hAPP(c_Int_Onumber__class_Onumber__of(_u5480), c_Int_OBit1(c_Int_OPls))) = _u5481) )).
% 12.32/12.56 cnf(matrix-3476, plain, ( ~class_Fields_Ofield__inverse__zero(_u5482) | ~class_Int_Onumber__ring(_u5482) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5483), hAPP(c_Int_Onumber__class_Onumber__of(_u5482), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5482), _u5483)) )).
% 12.32/12.56 cnf(matrix-3477, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.32/12.56 cnf(matrix-3478, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) )).
% 12.32/12.56 cnf(matrix-3479, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) )).
% 12.32/12.56 cnf(matrix-3480, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3481, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3484, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), c_Groups_Ozero__class_Ozero(_u5484)), _u5487)) )).
% 12.32/12.56 cnf(matrix-3485, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3486, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5484), _u5487), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3487, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5486), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487)), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), c_Groups_Ozero__class_Ozero(_u5484))) )).
% 12.32/12.56 cnf(matrix-3488, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) )).
% 12.32/12.56 cnf(matrix-3489, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) )).
% 12.32/12.56 cnf(matrix-3490, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.56 cnf(matrix-3491, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.56 cnf(matrix-3492, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) )).
% 12.32/12.56 cnf(matrix-3493, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.56 cnf(matrix-3494, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5490)) )).
% 12.32/12.56 cnf(matrix-3495, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.56 cnf(matrix-3496, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5488), _u5490), c_Groups_Ozero__class_Ozero(_u5488))) )).
% 12.32/12.56 cnf(matrix-3497, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5488), _u5489), _u5490)), _u5491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5488), _u5491), _u5490)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5488), c_Groups_Ozero__class_Ozero(_u5488)), _u5491)) )).
% 12.32/12.56 cnf(matrix-3498, plain, ( ~class_Fields_Olinordered__field(_u5492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5492), c_Groups_Ozero__class_Ozero(_u5492)), _u5493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), _u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5492), _u5495), _u5493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5492), _u5494), _u5493)), _u5495)) )).
% 12.32/12.56 cnf(matrix-3499, plain, ( ~class_Fields_Olinordered__field(_u5492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5492), c_Groups_Ozero__class_Ozero(_u5492)), _u5493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5492), _u5494), _u5493)), _u5495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5492), _u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5492), _u5495), _u5493))) )).
% 12.32/12.56 cnf(matrix-3500, plain, ( ~class_Fields_Olinordered__field(_u5496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5496), c_Groups_Ozero__class_Ozero(_u5496)), _u5497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5496), _u5498), _u5497)), _u5499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), _u5498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5496), _u5499), _u5497))) )).
% 12.32/12.56 cnf(matrix-3501, plain, ( ~class_Fields_Olinordered__field(_u5496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5496), c_Groups_Ozero__class_Ozero(_u5496)), _u5497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), _u5498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5496), _u5499), _u5497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5496), _u5498), _u5497)), _u5499)) )).
% 12.32/12.56 cnf(matrix-3502, plain, ( ~class_Fields_Olinordered__field(_u5500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5500), c_Groups_Ozero__class_Ozero(_u5500)), _u5501)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5500), _u5502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5503), _u5501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5500), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5502), _u5501)), _u5503)) )).
% 12.32/12.56 cnf(matrix-3503, plain, ( ~class_Fields_Olinordered__field(_u5504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5504), c_Groups_Ozero__class_Ozero(_u5504)), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5504), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5504), _u5506), _u5505)), _u5507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5504), _u5506), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5504), _u5507), _u5505))) )).
% 12.32/12.56 cnf(matrix-3504, plain, ( ~class_Fields_Olinordered__field(_u5508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5508), _u5509), c_Groups_Ozero__class_Ozero(_u5508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5508), _u5511), _u5509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5508), _u5510), _u5509))) )).
% 12.32/12.56 cnf(matrix-3505, plain, ( ~class_Fields_Olinordered__field(_u5508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5508), _u5509), c_Groups_Ozero__class_Ozero(_u5508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5508), _u5510), _u5509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5508), _u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5508), _u5511), _u5509))) )).
% 12.32/12.56 cnf(matrix-3506, plain, ( ~class_Fields_Olinordered__field(_u5512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5512), _u5513), c_Groups_Ozero__class_Ozero(_u5512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5512), _u5514), _u5513)), _u5515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5512), _u5515), _u5513)), _u5514)) )).
% 12.32/12.56 cnf(matrix-3507, plain, ( ~class_Fields_Olinordered__field(_u5512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5512), _u5513), c_Groups_Ozero__class_Ozero(_u5512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5512), _u5515), _u5513)), _u5514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5512), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5512), _u5514), _u5513)), _u5515)) )).
% 12.32/12.56 cnf(matrix-3508, plain, ( ~class_Fields_Olinordered__field(_u5516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), _u5517), _u5518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), c_Groups_Ozero__class_Ozero(_u5516)), _u5519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), c_Groups_Ozero__class_Ozero(_u5516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5516), _u5518), _u5517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), _u5519), _u5518)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), _u5519), _u5517))) )).
% 12.32/12.56 cnf(matrix-3509, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), _u5521), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), _u5523), c_Groups_Ozero__class_Ozero(_u5520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5520), c_Groups_Ozero__class_Ozero(_u5520)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5520), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5520), _u5523), _u5521)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5520), _u5523), _u5522))) )).
% 12.32/12.56 cnf(matrix-3510, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) )).
% 12.32/12.56 cnf(matrix-3511, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) )).
% 12.32/12.56 cnf(matrix-3512, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.56 cnf(matrix-3513, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.56 cnf(matrix-3514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) )).
% 12.32/12.56 cnf(matrix-3515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.56 cnf(matrix-3516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))) )).
% 12.32/12.56 cnf(matrix-3517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.56 cnf(matrix-3518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)), c_Groups_Ozero__class_Ozero(_u5524))) )).
% 12.32/12.56 cnf(matrix-3519, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5524) | ~class_Int_Onumber(_u5524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5524), _u5525), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), _u5525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5524), _u5526))), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5524), c_Groups_Ozero__class_Ozero(_u5524)), _u5527)) )).
% 12.32/12.56 cnf(matrix-3520, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) )).
% 12.32/12.56 cnf(matrix-3521, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) )).
% 12.32/12.56 cnf(matrix-3522, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.56 cnf(matrix-3523, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.56 cnf(matrix-3524, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) )).
% 12.32/12.56 cnf(matrix-3525, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.56 cnf(matrix-3526, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), _u5530)) )).
% 12.32/12.56 cnf(matrix-3527, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.56 cnf(matrix-3528, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5530), c_Groups_Ozero__class_Ozero(_u5528))) )).
% 12.32/12.56 cnf(matrix-3529, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5528) | ~class_Int_Onumber(_u5528) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5528), _u5529), _u5530)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), _u5529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5528), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531)), _u5530)), _u5529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5528), c_Groups_Ozero__class_Ozero(_u5528)), hAPP(c_Int_Onumber__class_Onumber__of(_u5528), _u5531))) )).
% 12.32/12.56 cnf(matrix-3530, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) )).
% 12.32/12.56 cnf(matrix-3531, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) )).
% 12.32/12.56 cnf(matrix-3532, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3533, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3534, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3535, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3536, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), c_Groups_Ozero__class_Ozero(_u5532)), _u5535)) )).
% 12.32/12.56 cnf(matrix-3537, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3538, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5535), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3539, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5532) | ~class_Int_Onumber(_u5532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5532), _u5534), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535)), _u5534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), _u5534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), _u5535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5532), _u5533)), c_Groups_Ozero__class_Ozero(_u5532))) )).
% 12.32/12.56 cnf(matrix-3540, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) )).
% 12.32/12.56 cnf(matrix-3541, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) )).
% 12.32/12.56 cnf(matrix-3542, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3543, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3544, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), c_Groups_Ozero__class_Ozero(_u5536)), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))) )).
% 12.32/12.56 cnf(matrix-3547, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3548, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3549, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5536) | ~class_Int_Onumber(_u5536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5536), _u5538), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539))), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5536), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5536), _u5539)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5536), _u5537), c_Groups_Ozero__class_Ozero(_u5536))) )).
% 12.32/12.56 cnf(matrix-3550, plain, ( ~class_Fields_Ofield(_u5540) | ( _u5541 = c_Groups_Ozero__class_Ozero(_u5540)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5542), _u5543)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5543), _u5542)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5540), hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), _u5543)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5540), _u5541), _u5542))) )).
% 12.32/12.56 cnf(matrix-3551, plain, ( ~class_Fields_Ofield__inverse__zero(_u5544) | ~class_Int_Onumber__ring(_u5544) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5544), hAPP(c_Int_Onumber__class_Onumber__of(_u5544), c_Int_OMin)), _u5545) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5544), c_Groups_Oone__class_Oone(_u5544)), _u5545))) )).
% 12.32/12.56 cnf(matrix-3552, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.56 cnf(matrix-3553, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) )).
% 12.32/12.56 cnf(matrix-3554, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) )).
% 12.32/12.56 cnf(matrix-3555, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3556, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3557, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3558, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3559, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), c_Groups_Ozero__class_Ozero(_u5546)), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))) )).
% 12.32/12.56 cnf(matrix-3560, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3561, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3562, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5546) | ~class_Int_Onumber(_u5546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5546), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549))), _u5548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5546), _u5547), hAPP(c_Int_Onumber__class_Onumber__of(_u5546), _u5549)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), c_Groups_Ozero__class_Ozero(_u5546))) )).
% 12.32/12.56 cnf(matrix-3563, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) )).
% 12.32/12.56 cnf(matrix-3564, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) )).
% 12.32/12.56 cnf(matrix-3565, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3566, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3567, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3568, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3569, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), c_Groups_Ozero__class_Ozero(_u5550)), _u5553)) )).
% 12.32/12.56 cnf(matrix-3570, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3571, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5550), _u5553), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3572, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5550) | ~class_Int_Onumber(_u5550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5552), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553)), _u5552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), _u5553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), _u5551)), c_Groups_Ozero__class_Ozero(_u5550))) )).
% 12.32/12.56 cnf(matrix-3573, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) )).
% 12.32/12.56 cnf(matrix-3574, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) )).
% 12.32/12.56 cnf(matrix-3575, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.56 cnf(matrix-3576, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.56 cnf(matrix-3577, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) )).
% 12.32/12.56 cnf(matrix-3578, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.56 cnf(matrix-3579, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), _u5556)) )).
% 12.32/12.56 cnf(matrix-3580, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.56 cnf(matrix-3581, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5554), _u5556), c_Groups_Ozero__class_Ozero(_u5554))) )).
% 12.32/12.56 cnf(matrix-3582, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5554) | ~class_Int_Onumber(_u5554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), _u5556)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5554), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557)), _u5556)), _u5555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), c_Groups_Ozero__class_Ozero(_u5554)), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), _u5557))) )).
% 12.32/12.56 cnf(matrix-3583, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) )).
% 12.32/12.56 cnf(matrix-3584, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) )).
% 12.32/12.56 cnf(matrix-3585, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.56 cnf(matrix-3586, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.56 cnf(matrix-3587, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) )).
% 12.32/12.56 cnf(matrix-3588, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.56 cnf(matrix-3589, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))) )).
% 12.32/12.56 cnf(matrix-3590, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.56 cnf(matrix-3591, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5558), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)), c_Groups_Ozero__class_Ozero(_u5558))) )).
% 12.32/12.56 cnf(matrix-3592, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5558) | ~class_Int_Onumber(_u5558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5558), _u5559), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), _u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5558), _u5561), hAPP(c_Int_Onumber__class_Onumber__of(_u5558), _u5560))), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5558), c_Groups_Ozero__class_Ozero(_u5558)), _u5561)) )).
% 12.32/12.56 cnf(matrix-3593, plain, ( ( _u5564 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5564, _u5566) = _u5566) )).
% 12.32/12.56 cnf(matrix-3594, plain, ( ( _u5565 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5565, _u5567) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5565), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5567))) )).
% 12.32/12.56 cnf(matrix-3595, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3596, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3597, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5568, _u5569, _u5570, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5569) )).
% 12.32/12.56 cnf(matrix-3598, plain, ( ( c_Random_Olog(_u5573, _u5575) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5573), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.32/12.56 cnf(matrix-3599, plain, ( ( c_Random_Olog(_u5573, _u5575) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5575), _u5573)) )).
% 12.32/12.56 cnf(matrix-3600, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5574), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5576), _u5574)) | ( c_Random_Olog(_u5574, _u5576) = 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(_u5574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5576), _u5574)))) )).
% 12.32/12.56 cnf(matrix-3601, plain, ( ~class_Fields_Olinordered__field(_u5578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), _u5580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5578), c_Groups_Ozero__class_Ozero(_u5578)), skolem86(_u5580, _u5579, _u5578))) )).
% 12.32/12.56 cnf(matrix-3602, plain, ( ~class_Fields_Olinordered__field(_u5578) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), _u5580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5578), _u5579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5578), _u5580), skolem86(_u5580, _u5579, _u5578)))) )).
% 12.32/12.56 cnf(matrix-3603, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5584), _u5586)) | ( c_Random_Ominus__shift(_u5588, _u5584, _u5586) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5588), _u5584)), _u5586)) )).
% 12.32/12.56 cnf(matrix-3604, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5585), _u5587)) | ( c_Random_Ominus__shift(_u5589, _u5585, _u5587) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5585), _u5587)) )).
% 12.32/12.56 cnf(matrix-3605, plain, ( ( _u5592 != _u5594) | ( c_Random_Oinc__shift(_u5592, _u5594) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3606, plain, ( ( _u5593 = _u5595) | ( c_Random_Oinc__shift(_u5593, _u5595) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5595), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.32/12.56 cnf(matrix-3607, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5596)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5596)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-3608, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5597)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5597)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-3609, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5598), _u5599) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5598), _u5599)) )).
% 12.32/12.56 cnf(matrix-3610, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3611, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5602) != c_Code__Numeral_OSuc__code__numeral(_u5604)) | ( _u5602 = _u5604) )).
% 12.32/12.56 cnf(matrix-3612, plain, ( ( _u5603 != _u5605) | ( c_Code__Numeral_OSuc__code__numeral(_u5603) = c_Code__Numeral_OSuc__code__numeral(_u5605)) )).
% 12.32/12.56 cnf(matrix-3613, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u5606)) )).
% 12.32/12.56 cnf(matrix-3614, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5607) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3615, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5608, _u5609, _u5610, c_Code__Numeral_OSuc__code__numeral(_u5611)) = hAPP(_u5610, _u5611)) )).
% 12.32/12.56 cnf(matrix-3616, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5612)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5612) )).
% 12.32/12.56 cnf(matrix-3617, 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), _u5613))) | ~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), _u5613)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)) = 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), _u5613)))) )).
% 12.32/12.56 cnf(matrix-3618, 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), _u5613))) | 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), _u5613)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5613)), 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), _u5613))))) )).
% 12.32/12.56 cnf(matrix-3619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5616), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5618)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5616)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5618)) )).
% 12.32/12.56 cnf(matrix-3620, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5617), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5617)) = 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), _u5619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5617)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.32/12.56 cnf(matrix-3621, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5620, _u5621, _u5622, c_Code__Numeral_OSuc__code__numeral(_u5623)) = hAPP(hAPP(_u5622, _u5623), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5620, _u5621, _u5622, _u5623))) )).
% 12.32/12.56 cnf(matrix-3622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5624), _u5625)) | ( c_Divides_Odivmod__nat(_u5625, _u5624) = 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), _u5625), _u5624)), _u5624))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5625), _u5624), _u5624))) )).
% 12.32/12.56 cnf(matrix-3623, plain, ( ( _u5627 = 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)), _u5627)) )).
% 12.32/12.56 cnf(matrix-3624, 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)), _u5628)) | ( _u5628 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5631), _u5633)) | ( c_Quickcheck_Obeyond(_u5631, _u5633) = _u5633) )).
% 12.32/12.56 cnf(matrix-3626, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5632), _u5634)) | ( c_Quickcheck_Obeyond(_u5632, _u5634) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3627, plain, ( ( c_Divides_Odivmod__nat(_u5635, 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)), _u5635)) )).
% 12.32/12.56 cnf(matrix-3628, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u5638) != hAPP(c_Code__Numeral_Oof__nat, _u5640)) | ( _u5638 = _u5640) )).
% 12.32/12.56 cnf(matrix-3629, plain, ( ( _u5639 != _u5641) | ( hAPP(c_Code__Numeral_Oof__nat, _u5639) = hAPP(c_Code__Numeral_Oof__nat, _u5641)) )).
% 12.32/12.56 cnf(matrix-3630, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3631, plain, ( ~class_Groups_Ouminus(_u5642) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5643, _u5642)), _u5644), _u5645) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5642), hAPP(_u5644, _u5645))) )).
% 12.32/12.56 cnf(matrix-3632, plain, ( ~class_Groups_Ominus(_u5646) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5647, _u5646)), _u5648), _u5649), _u5650) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5646), hAPP(_u5648, _u5650)), hAPP(_u5649, _u5650))) )).
% 12.32/12.56 cnf(matrix-3633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5653)), _u5655)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5653), _u5655)) )).
% 12.32/12.56 cnf(matrix-3634, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5654), _u5656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5654)), _u5656)) )).
% 12.32/12.56 cnf(matrix-3635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5657), _u5658)) | ( c_Divides_Odivmod__nat(_u5657, _u5658) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5657)) )).
% 12.32/12.56 cnf(matrix-3636, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5659) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5659))) )).
% 12.32/12.56 cnf(matrix-3637, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5660), hAPP(c_Nat_OSuc, _u5661)) = 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), _u5660), _u5661))) )).
% 12.32/12.56 cnf(matrix-3638, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5662)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5662)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-3639, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5663)), hAPP(c_Code__Numeral_Oof__nat, _u5664)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5663), _u5664))) )).
% 12.32/12.56 cnf(matrix-3640, plain, ( ( c_Divides_Odivmod__nat(_u5665, _u5666) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5665), _u5666)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5665, _u5666))) )).
% 12.32/12.56 cnf(matrix-3641, plain, ( ~class_Int_Onumber__ring(_u5667) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5667), _u5668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5669))) = hAPP(hAPP(c_HOL_OLet(_u5667, _u5667), hAPP(hAPP(c_Power_Opower__class_Opower(_u5667), _u5668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5669))), hAPP(hAPP(c_COMBS(_u5667, _u5667, _u5667), c_Groups_Otimes__class_Otimes(_u5667)), c_COMBI(_u5667)))) )).
% 12.32/12.56 cnf(matrix-3642, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5671))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5671))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-3643, plain, ( ( c_Quickcheck_Obeyond(_u5672, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.32/12.56 cnf(matrix-3644, plain, ( ~class_Int_Onumber__ring(_u5673) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5673), hAPP(c_Int_Onumber__class_Onumber__of(_u5673), _u5674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5675))) = hAPP(hAPP(c_HOL_OLet(_u5673, _u5673), hAPP(hAPP(c_Power_Opower__class_Opower(_u5673), hAPP(c_Int_Onumber__class_Onumber__of(_u5673), _u5674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5675))), hAPP(hAPP(c_COMBS(_u5673, _u5673, _u5673), c_Groups_Otimes__class_Otimes(_u5673)), c_COMBI(_u5673)))) )).
% 12.32/12.56 cnf(matrix-3645, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5678)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5680)), hAPP(c_Int_Onat, _u5678)) = hAPP(c_Int_Onat, _u5680)) )).
% 12.32/12.56 cnf(matrix-3646, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5679)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5681)), hAPP(c_Int_Onat, _u5679)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5681), _u5679)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.32/12.56 cnf(matrix-3647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5683)) | ( c_Divides_OnegDivAlg(_u5682, _u5683) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5682), _u5683)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5682, _u5683))) )).
% 12.32/12.56 cnf(matrix-3648, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5684) = 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), _u5684), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-3649, plain, ( ~class_Rings_Osemiring__1(_u5685) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5685), _u5686) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5685, hAPP(hAPP(c_COMBC(_u5685, _u5685, _u5685), c_Groups_Oplus__class_Oplus(_u5685)), c_Groups_Oone__class_Oone(_u5685)), _u5686, c_Groups_Ozero__class_Ozero(_u5685))) )).
% 12.32/12.56 cnf(matrix-3650, plain, ( ( hAPP(c_Divides_Oadjust(_u5687), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5688), _u5689)) = 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), _u5689), _u5687)), 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)))), _u5688)), 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)))), _u5688)), _u5689)))) )).
% 12.32/12.56 cnf(matrix-3651, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3652, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5692)), hAPP(c_Code__Numeral_Oof__nat, _u5694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5692), _u5694)) )).
% 12.32/12.56 cnf(matrix-3654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5693), _u5695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5693)), hAPP(c_Code__Numeral_Oof__nat, _u5695))) )).
% 12.32/12.56 cnf(matrix-3655, plain, ( ( hAPP(c_Nat_OSuc, _u5698) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5700)) | 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(_u5700))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5698))))) )).
% 12.32/12.56 cnf(matrix-3656, 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(_u5701))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5699))))) | ( hAPP(c_Nat_OSuc, _u5699) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5701)) )).
% 12.32/12.56 cnf(matrix-3657, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5704) != hAPP(c_Nat_OSuc, _u5706)) | 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(_u5704))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5706))))) )).
% 12.32/12.56 cnf(matrix-3658, 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(_u5705))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5707))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5705) = hAPP(c_Nat_OSuc, _u5707)) )).
% 12.32/12.56 cnf(matrix-3659, plain, ( ( c_Nat_Onat_Onat__case(_u5708, _u5709, _u5710, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5711)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5708), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5711))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5708, _u5708), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5708, tc_fun(_u5708, _u5708)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5708, tc_fun(_u5708, _u5708)), tc_Int_Oint), c_If(_u5708)), c_Nat__Numeral_Oneg)), _u5709)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5708, tc_Int_Oint), _u5710), c_Int_Onat)))) )).
% 12.32/12.56 cnf(matrix-3660, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5712, _u5713, _u5714), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5715)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5712), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5715))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5712, _u5712), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5712, tc_fun(_u5712, _u5712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5712, tc_fun(_u5712, _u5712)), tc_Int_Oint), c_If(_u5712)), c_Nat__Numeral_Oneg)), _u5713)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5712, _u5712), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5712, _u5712), tc_Int_Oint), _u5714), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5712, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5712, _u5713, _u5714)), c_Int_Onat))))) )).
% 12.32/12.56 cnf(matrix-3661, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5716)), hAPP(c_Code__Numeral_Oof__nat, _u5717)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5716), _u5717))) )).
% 12.32/12.56 cnf(matrix-3662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5720)), hAPP(c_Code__Numeral_Oof__nat, _u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5720), _u5722)) )).
% 12.32/12.56 cnf(matrix-3663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5721), _u5723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5721)), hAPP(c_Code__Numeral_Oof__nat, _u5723))) )).
% 12.32/12.56 cnf(matrix-3664, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5725))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5725)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3665, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5726))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5726)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5726)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.32/12.56 cnf(matrix-3666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5729)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5731))) | 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(_u5731))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5729)), c_Int_Onat))))) )).
% 12.32/12.56 cnf(matrix-3667, 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(_u5732))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5730)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5730)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5732))) )).
% 12.32/12.56 cnf(matrix-3668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5735)), hAPP(c_Nat_OSuc, _u5737))) | 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(_u5735))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5737)))) )).
% 12.32/12.56 cnf(matrix-3669, 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(_u5736))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5738)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5736)), hAPP(c_Nat_OSuc, _u5738))) )).
% 12.32/12.56 cnf(matrix-3670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5743))) | 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(_u5743))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5741)), c_Int_Onat))))) )).
% 12.32/12.56 cnf(matrix-3671, 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(_u5744))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5742)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5742)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5744))) )).
% 12.32/12.56 cnf(matrix-3672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5747)), hAPP(c_Nat_OSuc, _u5749))) | 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(_u5747))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5749)))) )).
% 12.32/12.56 cnf(matrix-3673, 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(_u5748))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5750)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5748)), hAPP(c_Nat_OSuc, _u5750))) )).
% 12.32/12.56 cnf(matrix-3674, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u5751)), hAPP(c_Code__Numeral_Oof__nat, _u5752)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5751), _u5752))) )).
% 12.32/12.56 cnf(matrix-3675, plain, ( ( c_Nat_Onat_Onat__case(_u5753, _u5754, _u5755, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5756)), _u5757)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5753), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5756))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5753, _u5753), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5753, tc_fun(_u5753, _u5753)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5753, tc_fun(_u5753, _u5753)), tc_Int_Oint), c_If(_u5753)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5753, _u5754, _u5755, _u5757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5753, tc_Int_Oint), _u5755), 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)), _u5757))))) )).
% 12.32/12.56 cnf(matrix-3676, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5761)), _u5762)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5758), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5761))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5758, _u5758), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5758, tc_fun(_u5758, _u5758)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5758, tc_fun(_u5758, _u5758)), tc_Int_Oint), c_If(_u5758)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760), _u5762))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5758, _u5758), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5758, _u5758), tc_Int_Oint), _u5760), 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)), _u5762))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5758, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5758, _u5759, _u5760)), 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)), _u5762)))))) )).
% 12.32/12.56 cnf(matrix-3677, plain, ( ~class_Int_Onumber__ring(_u5763) | ~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), _u5764))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5764))) = hAPP(hAPP(c_HOL_OLet(_u5763, _u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5764))), hAPP(hAPP(c_COMBS(_u5763, _u5763, _u5763), hAPP(hAPP(c_COMBB(_u5763, tc_fun(_u5763, _u5763), _u5763), c_Groups_Otimes__class_Otimes(_u5763)), hAPP(c_Groups_Otimes__class_Otimes(_u5763), _u5765))), c_COMBI(_u5763)))) )).
% 12.32/12.56 cnf(matrix-3678, plain, ( ~class_Int_Onumber__ring(_u5763) | 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), _u5764))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5765), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5764))) = c_Groups_Oone__class_Oone(_u5763)) )).
% 12.32/12.56 cnf(matrix-3679, 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), _u5768))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5770), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5768))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5770), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5768))), 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), _u5770))), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-3680, 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), _u5769))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5769))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3681, plain, ( ( c_Divides_OnegDivAlg(_u5774, _u5776) = 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), _u5774), _u5776))) | ~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), _u5774), _u5776))) )).
% 12.32/12.56 cnf(matrix-3682, plain, ( ( c_Divides_OnegDivAlg(_u5774, _u5776) = 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), _u5774), _u5776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5776), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3683, 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), _u5775), _u5777))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5777), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5775, _u5777) = hAPP(c_Divides_Oadjust(_u5777), c_Divides_OnegDivAlg(_u5775, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5777)))) )).
% 12.32/12.56 cnf(matrix-3684, plain, ( ~class_Int_Onumber__ring(_u5778) | ~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), _u5779))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5779))) = hAPP(hAPP(c_HOL_OLet(_u5778, _u5778), hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5779))), hAPP(hAPP(c_COMBS(_u5778, _u5778, _u5778), hAPP(hAPP(c_COMBB(_u5778, tc_fun(_u5778, _u5778), _u5778), c_Groups_Otimes__class_Otimes(_u5778)), hAPP(c_Groups_Otimes__class_Otimes(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)))), c_COMBI(_u5778)))) )).
% 12.32/12.56 cnf(matrix-3685, plain, ( ~class_Int_Onumber__ring(_u5778) | 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), _u5779))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5778), hAPP(c_Int_Onumber__class_Onumber__of(_u5778), _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5779))) = c_Groups_Oone__class_Oone(_u5778)) )).
% 12.32/12.56 cnf(matrix-3686, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5781, _u5782, _u5783, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5782) )).
% 12.32/12.56 cnf(matrix-3687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5784)) | ~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), _u5785), _u5784))) | ( c_Divides_OnegDivAlg(_u5785, _u5784) = 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), _u5785), _u5784))) )).
% 12.32/12.56 cnf(matrix-3688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5784)) | 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), _u5785), _u5784))) | ( c_Divides_OnegDivAlg(_u5785, _u5784) = hAPP(c_Divides_Oadjust(_u5784), c_Divides_OnegDivAlg(_u5785, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5784)))) )).
% 12.32/12.56 cnf(matrix-3689, 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), _u5786))) | ~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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)) = 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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) )).
% 12.32/12.56 cnf(matrix-3690, 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), _u5786))) | 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), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787), hAPP(hAPP(c_Groups_Otimes__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), _u5786))))) )).
% 12.32/12.56 cnf(matrix-3691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5790), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5792, _u5790) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5792), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5790))) )).
% 12.32/12.56 cnf(matrix-3692, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = 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))) | ( _u5793 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3693, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = 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))) | ( _u5791 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3694, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5793 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5793, _u5791) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5793), _u5791)), 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), _u5793))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5791)))) )).
% 12.32/12.56 cnf(matrix-3695, 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), _u5794))) | ~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), _u5794))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3696, 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), _u5794))) | 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), _u5794))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5794)), 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), _u5794))))) )).
% 12.32/12.56 cnf(matrix-3697, plain, ( ( c_Divides_OposDivAlg(_u5797, _u5799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5797), _u5799)) )).
% 12.32/12.56 cnf(matrix-3698, plain, ( ( c_Divides_OposDivAlg(_u5797, _u5799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5799), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3699, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5798), _u5800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5800), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5798, _u5800) = hAPP(c_Divides_Oadjust(_u5800), c_Divides_OposDivAlg(_u5798, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5800)))) )).
% 12.32/12.56 cnf(matrix-3700, plain, ( ( c_Divides_Oadjust(_u5801) = 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)), _u5801))))), 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)), _u5801))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.32/12.56 cnf(matrix-3701, 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), _u5802))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)) = 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), _u5803))) )).
% 12.32/12.56 cnf(matrix-3702, 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), _u5802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5802)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5803), hAPP(hAPP(c_Groups_Otimes__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), _u5802))))) )).
% 12.32/12.56 cnf(matrix-3703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5805), _u5804)) | ( c_Divides_OposDivAlg(_u5805, _u5804) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5805)) )).
% 12.32/12.56 cnf(matrix-3704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5805), _u5804)) | ( c_Divides_OposDivAlg(_u5805, _u5804) = hAPP(c_Divides_Oadjust(_u5804), c_Divides_OposDivAlg(_u5805, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5804)))) )).
% 12.32/12.56 cnf(matrix-3705, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5806) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5808)) | ( c_Divides_OposDivAlg(_u5807, _u5808) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5807), _u5808)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5807, _u5808))) )).
% 12.32/12.56 cnf(matrix-3707, plain, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = c_Groups_Ozero__class_Ozero(_u5809)) )).
% 12.32/12.56 cnf(matrix-3708, plain, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5809), hAPP(c_Int_Oring__1__class_Oof__int(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5810)))) )).
% 12.32/12.56 cnf(matrix-3709, plain, ( ~class_Rings_Oring__1(_u5809) | ( _u5810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5809), _u5810) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5809), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5809, _u5809)), tc_fun(tc_Int_Oint, _u5809)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5809, _u5809), _u5809), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5809, _u5809)), tc_fun(tc_Int_Oint, _u5809)), tc_Int_Oint), c_COMBB(tc_fun(_u5809, _u5809), _u5809, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5809, tc_fun(tc_fun(_u5809, _u5809), _u5809), tc_Int_Oint), c_HOL_OLet(_u5809, _u5809)), c_Int_Oring__1__class_Oof__int(_u5809)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5809, _u5809), tc_fun(_u5809, _u5809)), hAPP(hAPP(c_COMBB(tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_fun(tc_fun(_u5809, _u5809), tc_fun(_u5809, _u5809)), tc_Int_Oint), c_COMBS(_u5809, _u5809, _u5809)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5809, _u5809), tc_fun(_u5809, tc_fun(_u5809, _u5809))), hAPP(hAPP(c_COMBB(tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_fun(tc_fun(_u5809, _u5809), tc_fun(_u5809, tc_fun(_u5809, _u5809))), tc_Int_Oint), c_COMBB(_u5809, tc_fun(_u5809, _u5809), _u5809)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5809, tc_fun(_u5809, _u5809)), tc_Int_Oint), c_If(_u5809)), 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(_u5809, _u5809, _u5809), c_Groups_Oplus__class_Oplus(_u5809)), c_COMBI(_u5809))))), hAPP(hAPP(c_COMBC(_u5809, _u5809, _u5809), hAPP(hAPP(c_COMBB(_u5809, tc_fun(_u5809, _u5809), _u5809), c_Groups_Oplus__class_Oplus(_u5809)), hAPP(hAPP(c_COMBS(_u5809, _u5809, _u5809), c_Groups_Oplus__class_Oplus(_u5809)), c_COMBI(_u5809)))), c_Groups_Oone__class_Oone(_u5809))))), c_Divides_Odivmod__int(_u5810, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.32/12.56 cnf(matrix-3710, plain, ( ( c_Hoare__Mirabelle_OMGT(_u5811) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u5811), c_Natural_Oevalc(_u5811))) )).
% 12.32/12.56 cnf(matrix-3711, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5812, _u5813), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5814), _u5815))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5813)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5812), _u5813), 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), _u5816), _u5814)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5815)), _u5813))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5816), _u5815), _u5813)))) )).
% 12.32/12.56 cnf(matrix-3712, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5817, _u5818), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5819), _u5820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5821)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5817, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5818), _u5821)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5819), _u5821)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5818), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5819, _u5821))), _u5820)))) )).
% 12.32/12.56 cnf(matrix-3713, 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), _u5822), _u5823))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = 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), _u5822), _u5823))) | ~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), _u5822), _u5823))) )).
% 12.32/12.56 cnf(matrix-3714, 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), _u5822), _u5823))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = 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), _u5822), _u5823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3715, 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), _u5822), _u5823))) | 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), _u5822), _u5823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5822, _u5823) = hAPP(c_Divides_Oadjust(_u5823), c_Divides_OnegDivAlg(_u5822, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5823)))) )).
% 12.32/12.56 cnf(matrix-3716, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5824, _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(_u5825, _u5827), _u5826)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5824, _u5825), _u5827)) )).
% 12.32/12.56 cnf(matrix-3717, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5833, _u5835), _u5837)) | ~hBOOL(hAPP(hAPP(_u5835, _u5828), _u5837)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5833, _u5835), _u5828)) )).
% 12.32/12.56 cnf(matrix-3718, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), _u5838)) | hBOOL(hAPP(hAPP(_u5836, skolem87(_u5838, _u5836, _u5834)), _u5838)) )).
% 12.32/12.56 cnf(matrix-3719, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), _u5838)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5834, _u5836), skolem87(_u5838, _u5836, _u5834))) )).
% 12.32/12.56 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5844, _u5846), _u5848)) | ~hBOOL(hAPP(hAPP(_u5846, _u5839), _u5848)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5844, _u5846), _u5839)) )).
% 12.32/12.56 cnf(matrix-3721, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), _u5849)) | hBOOL(hAPP(hAPP(_u5847, skolem88(_u5849, _u5847, _u5845)), _u5849)) )).
% 12.32/12.56 cnf(matrix-3722, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), _u5849)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5845, _u5847), skolem88(_u5849, _u5847, _u5845))) )).
% 12.32/12.56 cnf(matrix-3723, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5850, _u5851), _u5852)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5850, _u5851), _u5853)) | ( _u5852 = _u5853) )).
% 12.32/12.56 cnf(matrix-3724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5854, tc_fun(_u5854, tc_HOL_Obool))), _u5855), _u5856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5854, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5854, _u5856)), c_Wellfounded_Oaccp(_u5854, _u5855))) )).
% 12.32/12.56 cnf(matrix-3725, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5857, _u5858), _u5859)) | ( c_Divides_Odivmod__nat(_u5857, _u5858) = _u5859) )).
% 12.32/12.56 cnf(matrix-3726, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5860, _u5861), c_Divides_Odivmod__nat(_u5860, _u5861))) )).
% 12.32/12.56 cnf(matrix-3727, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5862, _u5863), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5864), _u5865))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5862, _u5863) = _u5865) )).
% 12.32/12.56 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5866, _u5867), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5868), _u5869))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5866), _u5867) = _u5868) )).
% 12.32/12.56 cnf(matrix-3729, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5870, _u5871), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5870), _u5871)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5870, _u5871)))) )).
% 12.32/12.56 cnf(matrix-3730, plain, ( ( c_Divides_Odivmod__int(_u5872, _u5873) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5872), _u5873)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5872, _u5873))) )).
% 12.32/12.56 cnf(matrix-3731, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5874, _u5875), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5876), _u5877))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5878, _u5875), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5879), _u5880))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5875)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5874), _u5878), _u5875), 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), _u5876), _u5879)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5877), _u5880)), _u5875))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5877), _u5880), _u5875)))) )).
% 12.32/12.56 cnf(matrix-3732, 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), _u5881), _u5882))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5881), _u5882)) )).
% 12.32/12.56 cnf(matrix-3733, 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), _u5881), _u5882))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5882), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3734, 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), _u5881), _u5882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5881), _u5882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5882), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5881, _u5882) = hAPP(c_Divides_Oadjust(_u5882), c_Divides_OposDivAlg(_u5881, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5882)))) )).
% 12.32/12.56 cnf(matrix-3735, 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), _u5883), _u5884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5883), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5884))) )).
% 12.32/12.56 cnf(matrix-3736, 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = 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))) | ( _u5883 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3737, 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = 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))) | ( _u5884 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3738, 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), _u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5883 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5884 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5883, _u5884) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5883), _u5884)), 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), _u5883))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5884)))) )).
% 12.32/12.56 cnf(matrix-3739, plain, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.56 cnf(matrix-3740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = c_Divides_OposDivAlg(_u5887, _u5889)) )).
% 12.32/12.56 cnf(matrix-3741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( _u5887 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5889)) | ( _u5887 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5887, _u5889) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5887), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5889)))) )).
% 12.32/12.56 cnf(matrix-3743, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5890)) | ( c_Divides_Odivmod__int(_u5888, _u5890) = c_Divides_OnegDivAlg(_u5888, _u5890)) )).
% 12.32/12.56 cnf(matrix-3744, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5890)) | ( c_Divides_Odivmod__int(_u5888, _u5890) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5888), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5890)))) )).
% 12.32/12.56 cnf(matrix-3745, 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | 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), skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893)))) )).
% 12.32/12.56 cnf(matrix-3746, 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | 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), skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5895, _u5894, _u5893)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5895, skolem89(_u5895, _u5894, _u5893)), hAPP(hAPP(c_Groups_Otimes__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(_u5895, _u5894, _u5893)))) )).
% 12.32/12.56 cnf(matrix-3747, 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), _u5893), _u5894))) | hBOOL(hAPP(hAPP(_u5895, _u5893), _u5894)) | ~hBOOL(hAPP(hAPP(_u5895, skolem89(_u5895, _u5894, _u5893)), skolem90(_u5895, _u5894, _u5893))) )).
% 12.32/12.56 cnf(matrix-3748, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5896), _u5897)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5896), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5897))) )).
% 12.32/12.56 cnf(matrix-3749, plain, ( ~hBOOL(hAPP(hAPP(_u5898, _u5899), _u5900)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5901, _u5902, tc_HOL_Obool), _u5898), hAPP(hAPP(c_Product__Type_OPair(_u5901, _u5902), _u5899), _u5900))) )).
% 12.32/12.56 cnf(matrix-3750, plain, ( ~hBOOL(hAPP(hAPP(_u5903, _u5904), _u5905)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5906, _u5907, tc_HOL_Obool), _u5903), hAPP(hAPP(c_Product__Type_OPair(_u5906, _u5907), _u5904), _u5905))) )).
% 12.32/12.56 cnf(matrix-3751, 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | 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), skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910)))) )).
% 12.32/12.56 cnf(matrix-3752, 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem92(_u5912, _u5911, _u5910)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5912, skolem91(_u5912, _u5911, _u5910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem92(_u5912, _u5911, _u5910)))) )).
% 12.32/12.56 cnf(matrix-3753, 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), _u5910), _u5911))) | hBOOL(hAPP(hAPP(_u5912, _u5910), _u5911)) | ~hBOOL(hAPP(hAPP(_u5912, skolem91(_u5912, _u5911, _u5910)), skolem92(_u5912, _u5911, _u5910))) )).
% 12.32/12.56 cnf(matrix-3754, 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), _u5913), _u5914))) | ( _u5914 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5913, _u5914) = _u5913) )).
% 12.32/12.56 cnf(matrix-3755, 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), _u5913), _u5914))) | ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5913, _u5914) = c_Nitpick_Onat__gcd(_u5914, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5913, _u5914))) )).
% 12.32/12.56 cnf(matrix-3756, plain, ( ( _u5917 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5917, _u5919) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3757, plain, ( ( _u5918 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5920 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5918, _u5920) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5918)) )).
% 12.32/12.56 cnf(matrix-3758, plain, ( ( _u5918 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5920 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5918, _u5920) = 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, _u5920))), 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)), _u5920)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5918))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5920), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u5918, _u5920)), 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), _u5920))))), c_Divides_Opdivmod(_u5918, _u5920))))) )).
% 12.32/12.56 cnf(matrix-3759, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u5921, _u5922, _u5923, _u5924), hAPP(hAPP(c_Product__Type_OPair(_u5923, _u5921), _u5925), _u5926)) = hAPP(hAPP(c_Product__Type_OPair(_u5923, _u5922), _u5925), hAPP(_u5924, _u5926))) )).
% 12.32/12.56 cnf(matrix-3760, plain, ( ~hBOOL(hAPP(_u5936, skolem93(_u5940, _u5938, _u5936))) | hBOOL(hAPP(_u5936, hAPP(hAPP(c_Product__Type_OPair(_u5938, _u5940), _u5929), _u5928))) )).
% 12.32/12.56 cnf(matrix-3761, plain, ( ~hBOOL(hAPP(_u5937, hAPP(hAPP(c_Product__Type_OPair(_u5939, _u5941), skolem94(_u5941, _u5939, _u5937)), skolem95(_u5941, _u5939, _u5937)))) | hBOOL(hAPP(_u5937, _u5932)) )).
% 12.32/12.56 cnf(matrix-3762, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5952), _u5954) != hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5956), _u5958)) | ( _u5952 = _u5956) )).
% 12.32/12.56 cnf(matrix-3763, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5952), _u5954) != hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5956), _u5958)) | ( _u5954 = _u5958) )).
% 12.32/12.56 cnf(matrix-3764, plain, ( ( _u5953 != _u5957) | ( _u5955 != _u5959) | ( hAPP(hAPP(c_Product__Type_OPair(_u5949, _u5951), _u5953), _u5955) = hAPP(hAPP(c_Product__Type_OPair(_u5949, _u5951), _u5957), _u5959)) )).
% 12.32/12.56 cnf(matrix-3765, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5962), _u5963) != hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5964), _u5965)) | ( _u5962 = _u5964) )).
% 12.32/12.56 cnf(matrix-3766, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5962), _u5963) != hAPP(hAPP(c_Product__Type_OPair(_u5960, _u5961), _u5964), _u5965)) | ( _u5963 = _u5965) )).
% 12.32/12.56 cnf(matrix-3767, plain, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3768, plain, ( ( _u5966 != _u5967) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5968, _u5969, _u5970), _u5971), _u5966) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5968, _u5969, _u5970), _u5971), _u5967)) )).
% 12.32/12.56 cnf(matrix-3769, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5972, _u5973, _u5974), _u5975), hAPP(hAPP(c_Product__Type_OPair(_u5972, _u5973), _u5976), _u5977)) = hAPP(hAPP(_u5975, _u5976), _u5977)) )).
% 12.32/12.56 cnf(matrix-3770, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5978, _u5979, _u5980), _u5981), hAPP(hAPP(c_Product__Type_OPair(_u5978, _u5979), _u5982), _u5983)) = hAPP(hAPP(_u5981, _u5982), _u5983)) )).
% 12.32/12.56 cnf(matrix-3771, plain, ( hBOOL(hAPP(hAPP(_u5986, _u5987), _u5988)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5984, _u5985, tc_HOL_Obool), _u5986), hAPP(hAPP(c_Product__Type_OPair(_u5984, _u5985), _u5987), _u5988))) )).
% 12.32/12.56 cnf(matrix-3772, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u5989, _u5990, _u5991), hAPP(hAPP(c_COMBB(tc_fun(_u5990, tc_prod(_u5989, _u5990)), tc_fun(_u5990, _u5991), _u5989), hAPP(c_COMBB(tc_prod(_u5989, _u5990), _u5991, _u5990), _u5992)), c_Product__Type_OPair(_u5989, _u5990))) = _u5992) )).
% 12.32/12.56 cnf(matrix-3773, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5993, _u5994, _u5995), _u5996), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5997, _u5998, tc_prod(_u5993, _u5994)), _u5999), _u6000)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5997, _u5998, _u5995), hAPP(hAPP(c_COMBB(tc_fun(_u5998, tc_prod(_u5993, _u5994)), tc_fun(_u5998, _u5995), _u5997), hAPP(c_COMBB(tc_prod(_u5993, _u5994), _u5995, _u5998), hAPP(c_Product__Type_Oprod_Oprod__case(_u5993, _u5994, _u5995), _u5996))), _u5999)), _u6000)) )).
% 12.32/12.56 cnf(matrix-3774, plain, ( ( c_Divides_Opdivmod(_u6001, _u6002) = 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), _u6001)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6002))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6001), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6002)))) )).
% 12.32/12.56 cnf(matrix-3775, plain, ( ( _u6005 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6007, _u6005) = 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), _u6007))) )).
% 12.32/12.56 cnf(matrix-3776, plain, ( ( _u6006 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6008, _u6006) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6008), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6006))) )).
% 12.32/12.56 cnf(matrix-3777, plain, ( ( _u6011 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6011, _u6013) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3778, plain, ( ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6014 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6012, _u6014) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6012)) )).
% 12.32/12.56 cnf(matrix-3779, plain, ( ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6014 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6012, _u6014) = 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, _u6014))), 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, _u6012)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6014))), c_Divides_Opdivmod(_u6012, _u6014)), 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), _u6014))))), c_Divides_Opdivmod(_u6012, _u6014))))) )).
% 12.32/12.56 cnf(matrix-3780, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u6015, _u6016) = 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), _u6015), _u6016)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6015, _u6016))) )).
% 12.32/12.56 cnf(matrix-3781, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6017, _u6018), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6019), _u6020))) | ( _u6018 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6021)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6017, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6018), _u6021)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6019), _u6021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6018), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6019, _u6021))), _u6020)))) )).
% 12.32/12.56 cnf(matrix-3782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6022)), 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), _u6022)) = 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), _u6022)))))) )).
% 12.32/12.56 cnf(matrix-3783, plain, ( ( c_Divides_Odivmod__int__rel(_u6023, _u6024) = 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, _u6023))), 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), _u6024)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6024))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6024))))), 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)), _u6024)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6024))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.32/12.56 cnf(matrix-3784, 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | 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), skolem96(_u6029, _u6028, _u6027)), skolem97(_u6029, _u6028, _u6027)))) )).
% 12.32/12.56 cnf(matrix-3785, 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem97(_u6029, _u6028, _u6027)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6029, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem96(_u6029, _u6028, _u6027))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem97(_u6029, _u6028, _u6027)))) )).
% 12.32/12.56 cnf(matrix-3786, 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), _u6027), _u6028))) | hBOOL(hAPP(hAPP(_u6029, _u6027), _u6028)) | ~hBOOL(hAPP(hAPP(_u6029, skolem96(_u6029, _u6028, _u6027)), skolem97(_u6029, _u6028, _u6027))) )).
% 12.32/12.56 cnf(matrix-3787, plain, ( hBOOL(hAPP(hAPP(hAPP(_u6033, _u6034), _u6035), _u6036)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6030, _u6031, tc_fun(_u6032, tc_HOL_Obool)), _u6033), hAPP(hAPP(c_Product__Type_OPair(_u6030, _u6031), _u6034), _u6035)), _u6036)) )).
% 12.32/12.56 cnf(matrix-3788, plain, ( ( hAPP(c_Product__Type_Osnd(_u6037, _u6038), hAPP(hAPP(c_Product__Type_OPair(_u6037, _u6038), _u6039), _u6040)) = _u6040) )).
% 12.32/12.56 cnf(matrix-3789, plain, ( ( _u6044 = _u6045) | ( hAPP(c_Product__Type_Osnd(_u6041, _u6042), hAPP(hAPP(c_Product__Type_OPair(_u6041, _u6042), _u6043), _u6044)) != _u6045) )).
% 12.32/12.56 cnf(matrix-3790, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6052, _u6054, _u6056, _u6058), _u6060) != hAPP(c_Product__Type_Oapsnd(_u6052, _u6054, _u6056, _u6062), _u6060)) | ( hAPP(_u6058, hAPP(c_Product__Type_Osnd(_u6056, _u6052), _u6060)) = hAPP(_u6062, hAPP(c_Product__Type_Osnd(_u6056, _u6052), _u6060))) )).
% 12.32/12.56 cnf(matrix-3791, plain, ( ( hAPP(_u6059, hAPP(c_Product__Type_Osnd(_u6057, _u6053), _u6061)) != hAPP(_u6063, hAPP(c_Product__Type_Osnd(_u6057, _u6053), _u6061))) | ( hAPP(c_Product__Type_Oapsnd(_u6053, _u6055, _u6057, _u6059), _u6061) = hAPP(c_Product__Type_Oapsnd(_u6053, _u6055, _u6057, _u6063), _u6061)) )).
% 12.32/12.56 cnf(matrix-3792, plain, ( ( hAPP(c_Product__Type_Osnd(_u6064, _u6065), hAPP(c_Product__Type_Oapsnd(_u6066, _u6065, _u6064, _u6067), _u6068)) = hAPP(_u6067, hAPP(c_Product__Type_Osnd(_u6064, _u6066), _u6068))) )).
% 12.32/12.56 cnf(matrix-3793, plain, ( ( hAPP(c_Product__Type_Osnd(_u6069, _u6070), _u6071) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6069, _u6070, _u6070), hAPP(c_COMBK(tc_fun(_u6070, _u6070), _u6069), c_COMBI(_u6070))), _u6071)) )).
% 12.32/12.56 cnf(matrix-3794, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6072, _u6073) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6072, _u6073))) )).
% 12.32/12.56 cnf(matrix-3795, plain, ( ( _u6074 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6074), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-3796, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6075, _u6075), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6076), _u6077))) | ( _u6075 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6077 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3797, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6078, _u6079), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6080), _u6081))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6078, _u6079), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6082), _u6083))) | ( _u6079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6080 = _u6082) )).
% 12.32/12.56 cnf(matrix-3798, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6084, _u6085), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6086), _u6087))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6084, _u6085), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6088), _u6089))) | ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 = _u6089) )).
% 12.32/12.56 cnf(matrix-3799, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6090), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6091)), _u6092)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, _u6091), hAPP(c_Divides_OnegateSnd, _u6092))) )).
% 12.32/12.56 cnf(matrix-3800, plain, ( ( _u6093 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6094, _u6093), c_Divides_Odivmod__int(_u6094, _u6093))) )).
% 12.32/12.56 cnf(matrix-3801, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6095, _u6095), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6096), _u6097))) | ( _u6095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6096 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-3802, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6098, _u6099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6100), _u6101))) | ( _u6099 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6098, _u6099) = _u6101) )).
% 12.32/12.56 cnf(matrix-3803, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6102, _u6103), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6104), _u6105))) | ( _u6103 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6102), _u6103) = _u6104) )).
% 12.32/12.56 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6107)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6106, _u6107), c_Divides_OnegDivAlg(_u6106, _u6107))) )).
% 12.32/12.56 cnf(matrix-3805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6108), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6109)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6108, _u6109) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6108, _u6109))) )).
% 12.32/12.56 cnf(matrix-3806, plain, ( ( _u6110 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6111, _u6110), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6111), _u6110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6111, _u6110)))) )).
% 12.32/12.56 cnf(matrix-3807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6113)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6112, _u6113), c_Divides_OposDivAlg(_u6112, _u6113))) )).
% 12.32/12.56 cnf(matrix-3808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6115)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6114, _u6115) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6114, _u6115))) )).
% 12.32/12.56 cnf(matrix-3809, 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), _u6116))) | ( 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), _u6116)) = 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), _u6116)))) )).
% 12.32/12.56 cnf(matrix-3810, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6117, _u6118), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6119), _u6120))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6121, _u6118), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6122), _u6123))) | ( _u6118 = 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), _u6117), _u6121), _u6118), 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), _u6119), _u6122)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6120), _u6123)), _u6118))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6120), _u6123), _u6118)))) )).
% 12.32/12.56 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6124, _u6125), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6126), _u6127))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6124), _u6125), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6127), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6126)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6126)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6127), 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), _u6125), _u6127))))) )).
% 12.32/12.56 cnf(matrix-3812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6128, _u6129) = 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), _u6128), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6129))))) )).
% 12.32/12.56 cnf(matrix-3813, plain, ( ( c_Divides_Odivmod__nat(_u6134, _u6132) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134)) | ( _u6132 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3814, plain, ( ( c_Divides_Odivmod__nat(_u6134, _u6132) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6134), _u6132)) )).
% 12.32/12.56 cnf(matrix-3815, plain, ( ( _u6133 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6135), _u6133)) | ( c_Divides_Odivmod__nat(_u6135, _u6133) = 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), _u6135), _u6133), _u6133))) )).
% 12.32/12.56 cnf(matrix-3816, plain, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6137), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6139), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3817, plain, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6139), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6137)) )).
% 12.32/12.56 cnf(matrix-3818, plain, ( ( _u6136 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6138)), _u6139)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6136, _u6137), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6138), _u6139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6139), _u6137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6137), _u6139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6139), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-3819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6140), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6140, _u6141) = 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), _u6140), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6141))))) )).
% 12.32/12.56 cnf(matrix-3820, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6142, _u6143), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6144), _u6145))) | ( _u6143 = 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), _u6146), _u6142), _u6143), 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), _u6146), _u6144)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6146), _u6145)), _u6143))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6146), _u6145), _u6143)))) )).
% 12.32/12.56 cnf(matrix-3821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6147, tc_HOL_Obool)), _u6148), _u6149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6147, tc_HOL_Obool)), _u6149), _u6148)) | ( _u6148 = _u6149) )).
% 12.32/12.56 cnf(matrix-3822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6150)), 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), _u6150)) = 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), _u6150)))))) )).
% 12.32/12.56 cnf(matrix-3823, 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | 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), skolem98(_u6155, _u6154, _u6153)), skolem99(_u6155, _u6154, _u6153)))) )).
% 12.32/12.56 cnf(matrix-3824, 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | ( skolem99(_u6155, _u6154, _u6153) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6155, skolem99(_u6155, _u6154, _u6153)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem98(_u6155, _u6154, _u6153), skolem99(_u6155, _u6154, _u6153)))) )).
% 12.32/12.56 cnf(matrix-3825, 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), _u6153), _u6154))) | hBOOL(hAPP(hAPP(_u6155, _u6153), _u6154)) | ~hBOOL(hAPP(hAPP(_u6155, skolem98(_u6155, _u6154, _u6153)), skolem99(_u6155, _u6154, _u6153))) )).
% 12.32/12.56 cnf(matrix-3826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6156), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6156), _u6157) = 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), _u6156), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6157))))) )).
% 12.32/12.56 cnf(matrix-3827, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6158)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6159)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6159))), 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), _u6158)), c_Int_Onat))))) )).
% 12.32/12.56 cnf(matrix-3828, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6160) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3829, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6161), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3830, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6162)), hAPP(c_Nat_OSuc, _u6163)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6162), _u6163))) )).
% 12.32/12.56 cnf(matrix-3831, plain, ( ~class_Orderings_Olinorder(_u6164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6165), _u6167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6166), _u6167)) )).
% 12.32/12.56 cnf(matrix-3832, plain, ( ~class_Orderings_Olinorder(_u6164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6165), _u6167)) )).
% 12.32/12.56 cnf(matrix-3833, plain, ( ~class_Orderings_Olinorder(_u6164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6164), _u6165), _u6166)), _u6167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6164), _u6166), _u6167)) )).
% 12.32/12.56 cnf(matrix-3834, plain, ( ~class_Orderings_Olinorder(_u6168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6168), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6169), _u6170)), _u6169)) )).
% 12.32/12.56 cnf(matrix-3835, plain, ( ~class_Orderings_Olinorder(_u6171) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6171), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6172), _u6173)), _u6173)) )).
% 12.32/12.56 cnf(matrix-3836, plain, ( ~class_Orderings_Olinorder(_u6174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6174), _u6175), _u6176)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6176) = _u6175) )).
% 12.32/12.56 cnf(matrix-3837, plain, ( ~class_Orderings_Olinorder(_u6174) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6176) != _u6175) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6174), _u6175), _u6176)) )).
% 12.32/12.56 cnf(matrix-3838, plain, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6179)) )).
% 12.32/12.56 cnf(matrix-3839, plain, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6180)) )).
% 12.32/12.56 cnf(matrix-3840, plain, ( ~class_Orderings_Olinorder(_u6177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), _u6180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6177), _u6178), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6177), _u6179), _u6180))) )).
% 12.32/12.56 cnf(matrix-3841, plain, ( ~class_Orderings_Olinorder(_u6181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6181), _u6182), _u6183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6181), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6181), _u6182), _u6184)), _u6183)) )).
% 12.32/12.56 cnf(matrix-3842, plain, ( ~class_Orderings_Olinorder(_u6185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6185), _u6186), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6185), _u6188), _u6186)), _u6187)) )).
% 12.32/12.56 cnf(matrix-3843, plain, ( ~class_Orderings_Olinorder(_u6189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6189), _u6190), _u6191)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6189), _u6190), _u6191) = _u6190) )).
% 12.32/12.56 cnf(matrix-3844, plain, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6193), _u6194)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6193) = _u6193) )).
% 12.32/12.56 cnf(matrix-3845, plain, ( ~class_Orderings_Olinorder(_u6195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), _u6197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), _u6198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6195), _u6196), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6195), _u6197), _u6198))) )).
% 12.32/12.56 cnf(matrix-3846, plain, ( ~class_Orderings_Olinorder(_u6199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), _u6201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), _u6202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6199), _u6200), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6199), _u6201), _u6202))) )).
% 12.32/12.56 cnf(matrix-3847, plain, ( ~class_Orderings_Olinorder(_u6203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), _u6204), _u6205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), _u6206), _u6207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6203), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6203), _u6204), _u6206)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6203), _u6205), _u6207))) )).
% 12.32/12.56 cnf(matrix-3848, plain, ( ~class_Orderings_Olinorder(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6208), _u6210), _u6211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6210)) )).
% 12.32/12.56 cnf(matrix-3849, plain, ( ~class_Orderings_Olinorder(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6208), _u6210), _u6211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6211)) )).
% 12.32/12.56 cnf(matrix-3850, plain, ( ~class_Groups_Oordered__ab__group__add(_u6212) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6212), _u6213), _u6214)), _u6215) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6212), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), _u6213), _u6215)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6212), _u6214), _u6215))) )).
% 12.32/12.56 cnf(matrix-3851, plain, ( ~class_Orderings_Olinorder(_u6216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6216), _u6217), _u6218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6216), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6216), _u6217), _u6219)), _u6218)) )).
% 12.32/12.56 cnf(matrix-3852, plain, ( ~class_Orderings_Olinorder(_u6220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6220), _u6221), _u6222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6220), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6220), _u6223), _u6221)), _u6222)) )).
% 12.32/12.56 cnf(matrix-3853, plain, ( ~class_Orderings_Olinorder(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6225), _u6227)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6226), _u6227)) )).
% 12.32/12.56 cnf(matrix-3854, plain, ( ~class_Orderings_Olinorder(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6225), _u6227)) )).
% 12.32/12.56 cnf(matrix-3855, plain, ( ~class_Orderings_Olinorder(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6224), _u6225), _u6226)), _u6227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), _u6226), _u6227)) )).
% 12.32/12.56 cnf(matrix-3856, plain, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6230)) )).
% 12.32/12.56 cnf(matrix-3857, plain, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6231)) )).
% 12.32/12.56 cnf(matrix-3858, plain, ( ~class_Orderings_Olinorder(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), _u6229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6228), _u6230), _u6231))) )).
% 12.32/12.56 cnf(matrix-3859, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6232) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6232), _u6233), _u6234)), _u6235) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6234), _u6235))) )).
% 12.32/12.56 cnf(matrix-3860, plain, ( ~class_Orderings_Olinorder(_u6236) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6237), _u6238)), _u6239) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6237), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6236), _u6238), _u6239))) )).
% 12.32/12.56 cnf(matrix-3861, plain, ( ~class_Orderings_Olinorder(_u6240) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6241), _u6242)), _u6243) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), _u6242), _u6243))) )).
% 12.32/12.56 cnf(matrix-3862, plain, ( ~class_Orderings_Olinorder(_u6244) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6245), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6246), _u6247)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6246), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6244), _u6245), _u6247))) )).
% 12.32/12.56 cnf(matrix-3863, plain, ( ~class_Orderings_Olinorder(_u6248) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6249), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), _u6251)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6249), _u6251))) )).
% 12.32/12.56 cnf(matrix-3864, plain, ( ~class_Orderings_Olinorder(_u6252) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), _u6254)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6253), _u6254)) )).
% 12.32/12.56 cnf(matrix-3865, plain, ( ~class_Orderings_Olinorder(_u6255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), _u6257)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6255), _u6256), _u6257)) )).
% 12.32/12.56 cnf(matrix-3866, plain, ( ~class_Orderings_Olinorder(_u6258) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6258), _u6259), _u6260) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6258), _u6260), _u6259)) )).
% 12.32/12.56 cnf(matrix-3867, plain, ( ~class_Orderings_Olinorder(_u6261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6261), _u6262), _u6263) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6261), _u6263), _u6262)) )).
% 12.32/12.56 cnf(matrix-3868, plain, ( ~class_Orderings_Olinorder(_u6264) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6264), _u6265), _u6265) = _u6265) )).
% 12.32/12.56 cnf(matrix-3869, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6266), _u6267)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6268), _u6267)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6266), _u6268)), _u6267)) )).
% 12.32/12.56 cnf(matrix-3870, plain, ( ( _u6271 = _u6273) | ( hAPP(c_Product__Type_Ofst(_u6269, _u6270), hAPP(hAPP(c_Product__Type_OPair(_u6269, _u6270), _u6271), _u6272)) != _u6273) )).
% 12.32/12.56 cnf(matrix-3871, plain, ( ( hAPP(c_Product__Type_Ofst(_u6274, _u6275), hAPP(hAPP(c_Product__Type_OPair(_u6274, _u6275), _u6276), _u6277)) = _u6276) )).
% 12.32/12.56 cnf(matrix-3872, plain, ( ( hAPP(c_Product__Type_Ofst(_u6278, _u6279), _u6280) != hAPP(c_Product__Type_Ofst(_u6278, _u6279), _u6281)) | ( hAPP(c_Product__Type_Osnd(_u6278, _u6279), _u6280) != hAPP(c_Product__Type_Osnd(_u6278, _u6279), _u6281)) | ( _u6280 = _u6281) )).
% 12.32/12.56 cnf(matrix-3873, plain, ( ( _u6286 != _u6288) | ( hAPP(c_Product__Type_Ofst(_u6290, _u6292), _u6286) = hAPP(c_Product__Type_Ofst(_u6290, _u6292), _u6288)) )).
% 12.32/12.56 cnf(matrix-3874, plain, ( ( _u6286 != _u6288) | ( hAPP(c_Product__Type_Osnd(_u6290, _u6292), _u6286) = hAPP(c_Product__Type_Osnd(_u6290, _u6292), _u6288)) )).
% 12.32/12.56 cnf(matrix-3875, plain, ( ( hAPP(c_Product__Type_Ofst(_u6291, _u6293), _u6287) != hAPP(c_Product__Type_Ofst(_u6291, _u6293), _u6289)) | ( hAPP(c_Product__Type_Osnd(_u6291, _u6293), _u6287) != hAPP(c_Product__Type_Osnd(_u6291, _u6293), _u6289)) | ( _u6287 = _u6289) )).
% 12.32/12.56 cnf(matrix-3876, plain, ( ( hAPP(c_Product__Type_Ofst(_u6294, _u6295), hAPP(c_Product__Type_Oapsnd(_u6296, _u6295, _u6294, _u6297), _u6298)) = hAPP(c_Product__Type_Ofst(_u6294, _u6296), _u6298)) )).
% 12.32/12.56 cnf(matrix-3877, plain, ( ( hAPP(c_Product__Type_Ofst(_u6299, _u6300), _u6301) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6299, _u6300, _u6299), c_COMBK(_u6299, _u6300)), _u6301)) )).
% 12.32/12.56 cnf(matrix-3878, plain, ( ~class_Int_Onumber(_u6302) | ~class_Orderings_Oord(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)) )).
% 12.32/12.56 cnf(matrix-3879, plain, ( ~class_Int_Onumber(_u6302) | ~class_Orderings_Oord(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6302), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6303)), hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6302), _u6304)) )).
% 12.32/12.56 cnf(matrix-3880, plain, ( ( _u6305 = hAPP(hAPP(c_Product__Type_OPair(_u6306, _u6307), hAPP(c_Product__Type_Ofst(_u6306, _u6307), _u6305)), hAPP(c_Product__Type_Osnd(_u6306, _u6307), _u6305))) )).
% 12.32/12.56 cnf(matrix-3881, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6308, _u6309), hAPP(c_Product__Type_Ofst(_u6308, _u6309), _u6310)), hAPP(c_Product__Type_Osnd(_u6308, _u6309), _u6310)) = _u6310) )).
% 12.32/12.56 cnf(matrix-3882, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6311, _u6312, _u6313), _u6314), _u6315) = hAPP(hAPP(_u6314, hAPP(c_Product__Type_Ofst(_u6311, _u6312), _u6315)), hAPP(c_Product__Type_Osnd(_u6311, _u6312), _u6315))) )).
% 12.32/12.56 cnf(matrix-3883, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6316), _u6317) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6316, _u6317))) )).
% 12.32/12.56 cnf(matrix-3884, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6318, _u6319) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6318, _u6319))) )).
% 12.32/12.56 cnf(matrix-3885, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6320, _u6321, _u6322), _u6323), _u6324) = hAPP(hAPP(_u6323, hAPP(c_Product__Type_Ofst(_u6320, _u6321), _u6324)), hAPP(c_Product__Type_Osnd(_u6320, _u6321), _u6324))) )).
% 12.32/12.56 cnf(matrix-3886, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6325, _u6326), _u6326, _u6327), hAPP(hAPP(c_COMBB(_u6328, tc_fun(_u6326, _u6327), tc_prod(_u6325, _u6326)), _u6329), hAPP(hAPP(c_COMBB(_u6325, _u6328, tc_prod(_u6325, _u6326)), _u6330), c_Product__Type_Ofst(_u6325, _u6326)))), c_Product__Type_Osnd(_u6325, _u6326)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6325, _u6326, _u6327), hAPP(hAPP(c_COMBB(_u6328, tc_fun(_u6326, _u6327), _u6325), _u6329), _u6330))) )).
% 12.32/12.56 cnf(matrix-3887, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6331, _u6332, _u6333), _u6334), _u6335) = hAPP(hAPP(_u6334, hAPP(c_Product__Type_Ofst(_u6331, _u6332), _u6335)), hAPP(c_Product__Type_Osnd(_u6331, _u6332), _u6335))) )).
% 12.32/12.56 cnf(matrix-3888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6336, tc_HOL_Obool)), _u6337), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6336, tc_HOL_Obool)), _u6338), _u6339)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6336, tc_HOL_Obool)), _u6338), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6336, tc_HOL_Obool)), _u6339), _u6337)) = _u6337) )).
% 12.32/12.56 cnf(matrix-3889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), _u6343), _u6344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6340, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6344)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6342), _u6343))) )).
% 12.32/12.56 cnf(matrix-3890, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6345, tc_HOL_Obool)), _u6346), _u6347)), _u6346)) )).
% 12.32/12.56 cnf(matrix-3891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6348, tc_HOL_Obool)), _u6349), _u6350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6348, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6348, tc_HOL_Obool)), _u6350)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6348, tc_HOL_Obool)), _u6349))) )).
% 12.32/12.56 cnf(matrix-3892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6354, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6354, tc_HOL_Obool)), _u6356)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6354, tc_HOL_Obool)), _u6358))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6354, tc_HOL_Obool)), _u6358), _u6356)) )).
% 12.32/12.56 cnf(matrix-3893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6355, tc_HOL_Obool)), _u6359), _u6357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6355, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6355, tc_HOL_Obool)), _u6357)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6355, tc_HOL_Obool)), _u6359))) )).
% 12.32/12.56 cnf(matrix-3894, plain, ( ( _u6360 != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6362, tc_HOL_Obool)), _u6360), _u6361)) )).
% 12.32/12.56 cnf(matrix-3895, plain, ( ( _u6360 != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6362, tc_HOL_Obool)), _u6361), _u6360)) )).
% 12.32/12.56 cnf(matrix-3896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6364), _u6365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6365), _u6366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6363, tc_HOL_Obool)), _u6364), _u6366)) )).
% 12.32/12.56 cnf(matrix-3897, plain, ( ( _u6367 != _u6368) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6369, tc_HOL_Obool)), _u6368), _u6367)) )).
% 12.32/12.56 cnf(matrix-3898, plain, ( ( _u6370 != _u6371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6372, tc_HOL_Obool)), _u6370), _u6371)) )).
% 12.32/12.56 cnf(matrix-3899, plain, ( ( _u6376 != _u6378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6380, tc_HOL_Obool)), _u6376), _u6378)) )).
% 12.32/12.56 cnf(matrix-3900, plain, ( ( _u6376 != _u6378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6380, tc_HOL_Obool)), _u6378), _u6376)) )).
% 12.32/12.56 cnf(matrix-3901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6381, tc_HOL_Obool)), _u6377), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6381, tc_HOL_Obool)), _u6379), _u6377)) | ( _u6377 = _u6379) )).
% 12.32/12.56 cnf(matrix-3902, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6382, tc_HOL_Obool)), _u6383), _u6383)) )).
% 12.32/12.56 cnf(matrix-3903, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6384, tc_HOL_Obool)), _u6385), _u6386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6384, tc_HOL_Obool)), _u6386), _u6387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6384, tc_HOL_Obool)), _u6385), _u6387)) )).
% 12.32/12.56 cnf(matrix-3904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6388, tc_HOL_Obool)), _u6389), _u6390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6388, tc_HOL_Obool)), _u6390), _u6391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6388, tc_HOL_Obool)), _u6389), _u6391)) )).
% 12.32/12.56 cnf(matrix-3905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6392, tc_HOL_Obool)), _u6393), _u6394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6392, tc_HOL_Obool)), _u6393), _u6394)) )).
% 12.32/12.56 cnf(matrix-3906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6398, tc_HOL_Obool)), _u6400), _u6402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6398, tc_HOL_Obool)), _u6400), _u6402)) | ( _u6400 = _u6402) )).
% 12.32/12.56 cnf(matrix-3907, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) )).
% 12.32/12.56 cnf(matrix-3908, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6399, tc_HOL_Obool)), _u6401), _u6403)) | ( _u6401 != _u6403) )).
% 12.32/12.56 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) )).
% 12.32/12.56 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6407, tc_HOL_Obool)), _u6409), _u6411)) | ( _u6409 != _u6411) )).
% 12.32/12.56 cnf(matrix-3911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412)) | ( _u6410 = _u6412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412)) )).
% 12.32/12.56 cnf(matrix-3912, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6413)), _u6414) = 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), _u6413)), _u6414)) )).
% 12.32/12.56 cnf(matrix-3913, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6415), hAPP(c_Nat_OSuc, _u6416)) = 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)), _u6416)), _u6415)) )).
% 12.32/12.56 cnf(matrix-3914, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6417), _u6418) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6417, _u6418))) )).
% 12.32/12.56 cnf(matrix-3915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6420)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6419), _u6420) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6419, _u6420))) )).
% 12.32/12.56 cnf(matrix-3916, 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), _u6421))) | ( 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), _u6421)) = 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), _u6421)))) )).
% 12.32/12.56 cnf(matrix-3917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6422), _u6423) = 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), _u6422), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6423))))) )).
% 12.32/12.56 cnf(matrix-3918, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6424)), hAPP(c_Nat_OSuc, _u6425)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6424))), 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)), _u6425))))) )).
% 12.32/12.56 cnf(matrix-3919, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u6426, _u6427, _u6428, _u6429, _u6430) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6428, hAPP(c_Product__Type_Ofst(_u6426, _u6427), _u6430))), hAPP(_u6429, hAPP(c_Product__Type_Osnd(_u6426, _u6427), _u6430)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-3920, plain, ( ~hBOOL(hAPP(_u6431, _u6432)) | ~hBOOL(hAPP(_u6433, _u6434)) | hBOOL(hAPP(_u6431, hAPP(c_Product__Type_Ofst(_u6435, _u6436), hAPP(hAPP(c_Product__Type_OPair(_u6435, _u6436), _u6432), _u6434)))) )).
% 12.32/12.56 cnf(matrix-3921, plain, ( ~hBOOL(hAPP(_u6431, _u6432)) | ~hBOOL(hAPP(_u6433, _u6434)) | hBOOL(hAPP(_u6433, hAPP(c_Product__Type_Osnd(_u6435, _u6436), hAPP(hAPP(c_Product__Type_OPair(_u6435, _u6436), _u6432), _u6434)))) )).
% 12.32/12.56 cnf(matrix-3922, plain, ( ~hBOOL(hAPP(hAPP(_u6437, _u6438), _u6439)) | hBOOL(hAPP(hAPP(_u6437, hAPP(c_Product__Type_Osnd(_u6440, _u6441), hAPP(hAPP(c_Product__Type_OPair(_u6440, _u6441), _u6439), _u6438))), hAPP(c_Product__Type_Ofst(_u6440, _u6441), hAPP(hAPP(c_Product__Type_OPair(_u6440, _u6441), _u6439), _u6438)))) )).
% 12.32/12.56 cnf(matrix-3923, plain, ( ~class_Orderings_Oord(_u6442) | ( c_Orderings_Oord__class_Omin(_u6442) = c_Orderings_Oord_Omin(_u6442, c_Orderings_Oord__class_Oless__eq(_u6442))) )).
% 12.32/12.56 cnf(matrix-3924, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u6443, _u6444, _u6445, _u6446, hAPP(hAPP(c_Product__Type_OPair(_u6443, _u6444), _u6447), _u6448)) = hAPP(hAPP(_u6446, _u6447), _u6448)) )).
% 12.32/12.56 cnf(matrix-3925, plain, ( ( _u6454 = _u6456) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6452, tc_HOL_Obool)), _u6454) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6452, tc_HOL_Obool)), _u6456)) )).
% 12.32/12.56 cnf(matrix-3926, plain, ( ( _u6455 != _u6457) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6453, tc_HOL_Obool)), _u6455) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6453, tc_HOL_Obool)), _u6457)) )).
% 12.32/12.56 cnf(matrix-3927, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6458, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6458, tc_HOL_Obool)), _u6459)) = _u6459) )).
% 12.32/12.56 cnf(matrix-3928, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), _u6461), _u6462)), _u6462) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6460, tc_HOL_Obool)), _u6461), _u6462)) )).
% 12.32/12.56 cnf(matrix-3929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6464), _u6465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6465), _u6466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6463, tc_HOL_Obool)), _u6464), _u6466)) )).
% 12.32/12.56 cnf(matrix-3930, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6467), _u6468) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6467, _u6468))) )).
% 12.32/12.56 cnf(matrix-3931, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6472 = 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), _u6476)), _u6474)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476))) )).
% 12.32/12.56 cnf(matrix-3932, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6476) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3933, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | 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), _u6476))) )).
% 12.32/12.56 cnf(matrix-3934, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476)), _u6474)) )).
% 12.32/12.56 cnf(matrix-3935, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476))) )).
% 12.32/12.56 cnf(matrix-3936, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6472, _u6474), _u6476)) | ( _u6474 = 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)), _u6474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6476)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3937, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3938, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) )).
% 12.32/12.56 cnf(matrix-3939, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( _u6475 = 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3940, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6475 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-3941, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3942, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) )).
% 12.32/12.56 cnf(matrix-3943, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6473, _u6475), _u6477)) | ( _u6473 != 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), _u6477)), _u6475)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6477) != 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), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6475), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6477)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-3944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u6478)) | 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(_u6478), _u6479))), _u6478)) )).
% 12.32/12.56 cnf(matrix-3945, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6480), _u6481) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6480, 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)))), _u6481)))) )).
% 12.32/12.56 cnf(matrix-3946, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6482)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6483)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6483))), 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, _u6482))), 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), _u6482)), c_Int_Onat))))) )).
% 12.32/12.56 cnf(matrix-3947, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6484)), hAPP(c_Nat_OSuc, _u6485)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6484))), 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, _u6485))), 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)), _u6485))))) )).
% 12.32/12.56 cnf(matrix-3948, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6486, _u6487, _u6488, _u6489), hAPP(c_Product__Type_Oapfst(_u6490, _u6488, _u6486, _u6491), _u6492)) = hAPP(hAPP(c_Product__Type_OPair(_u6488, _u6487), hAPP(_u6491, hAPP(c_Product__Type_Ofst(_u6490, _u6486), _u6492))), hAPP(_u6489, hAPP(c_Product__Type_Osnd(_u6490, _u6486), _u6492)))) )).
% 12.32/12.56 cnf(matrix-3949, plain, ( ~class_Groups_Oordered__ab__group__add(_u6493) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6493), _u6494), _u6495)), _u6496) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), _u6494), _u6496)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6493), _u6495), _u6496))) )).
% 12.32/12.56 cnf(matrix-3950, plain, ( ~class_Orderings_Olinorder(_u6497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6500)) )).
% 12.32/12.56 cnf(matrix-3951, plain, ( ~class_Orderings_Olinorder(_u6497) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6499)) )).
% 12.32/12.56 cnf(matrix-3952, plain, ( ~class_Orderings_Olinorder(_u6497) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6497), _u6499), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6498), _u6500)) )).
% 12.32/12.56 cnf(matrix-3953, plain, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6502), _u6504)) )).
% 12.32/12.56 cnf(matrix-3954, plain, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) )).
% 12.32/12.56 cnf(matrix-3955, plain, ( ~class_Orderings_Olinorder(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6502), _u6504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6501), _u6502), _u6503)), _u6504)) )).
% 12.32/12.56 cnf(matrix-3956, plain, ( ~class_Orderings_Olinorder(_u6505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), _u6506), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), _u6506), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6505), _u6508), _u6507))) )).
% 12.32/12.56 cnf(matrix-3957, plain, ( ~class_Orderings_Olinorder(_u6509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), _u6510), _u6511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), _u6510), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6509), _u6511), _u6512))) )).
% 12.32/12.56 cnf(matrix-3958, plain, ( ~class_Orderings_Olinorder(_u6513) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6513), _u6514), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6513), _u6514), _u6515)) = _u6514) )).
% 12.32/12.56 cnf(matrix-3959, plain, ( ~class_Orderings_Olinorder(_u6516) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6516), _u6517), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6516), _u6517), _u6518)) = _u6517) )).
% 12.32/12.56 cnf(matrix-3960, plain, ( ~class_Orderings_Olinorder(_u6519) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6519), _u6521), _u6522)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), _u6521)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6519), _u6520), _u6522))) )).
% 12.32/12.56 cnf(matrix-3961, plain, ( ~class_Orderings_Olinorder(_u6523) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6523), _u6525), _u6526)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6523), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), _u6525)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6523), _u6524), _u6526))) )).
% 12.32/12.56 cnf(matrix-3962, plain, ( ~class_Orderings_Olinorder(_u6527) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6527), _u6528), _u6529)), _u6530) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6527), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), _u6528), _u6530)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6527), _u6529), _u6530))) )).
% 12.32/12.56 cnf(matrix-3963, plain, ( ~class_Orderings_Olinorder(_u6531) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6531), _u6532), _u6533)), _u6534) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6531), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), _u6532), _u6534)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6531), _u6533), _u6534))) )).
% 12.32/12.56 cnf(matrix-3964, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6535) = _u6535) )).
% 12.32/12.56 cnf(matrix-3965, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6536), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6536) )).
% 12.32/12.56 cnf(matrix-3966, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6537)), hAPP(c_Nat_OSuc, _u6538)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6537), _u6538))) )).
% 12.32/12.56 cnf(matrix-3967, plain, ( ~class_Orderings_Olinorder(_u6539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6542)) )).
% 12.32/12.56 cnf(matrix-3968, plain, ( ~class_Orderings_Olinorder(_u6539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6541)) )).
% 12.32/12.56 cnf(matrix-3969, plain, ( ~class_Orderings_Olinorder(_u6539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6539), _u6541), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6539), _u6540), _u6542)) )).
% 12.32/12.56 cnf(matrix-3970, plain, ( ~class_Orderings_Olinorder(_u6543) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6543), _u6544), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6543), _u6544), _u6545))) )).
% 12.32/12.56 cnf(matrix-3971, plain, ( ~class_Orderings_Olinorder(_u6546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6546), _u6547), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6546), _u6548), _u6547))) )).
% 12.32/12.56 cnf(matrix-3972, plain, ( ~class_Orderings_Olinorder(_u6549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6550), _u6551)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6549), _u6550), _u6551) = _u6551) )).
% 12.32/12.56 cnf(matrix-3973, plain, ( ~class_Orderings_Olinorder(_u6549) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6549), _u6550), _u6551) != _u6551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6550), _u6551)) )).
% 12.32/12.56 cnf(matrix-3974, plain, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6553), _u6555)) )).
% 12.32/12.56 cnf(matrix-3975, plain, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6554), _u6555)) )).
% 12.32/12.56 cnf(matrix-3976, plain, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6553), _u6555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), _u6554), _u6555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6552), _u6553), _u6554)), _u6555)) )).
% 12.32/12.56 cnf(matrix-3977, plain, ( ~class_Orderings_Olinorder(_u6556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6556), _u6557), _u6558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6556), _u6557), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6556), _u6558), _u6559))) )).
% 12.32/12.56 cnf(matrix-3978, plain, ( ~class_Orderings_Olinorder(_u6560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), _u6562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6560), _u6563), _u6562))) )).
% 12.32/12.56 cnf(matrix-3979, plain, ( ~class_Orderings_Olinorder(_u6564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6564), _u6565), _u6566)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6564), _u6565), _u6566) = _u6566) )).
% 12.32/12.56 cnf(matrix-3980, plain, ( ~class_Orderings_Olinorder(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6568), _u6569)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6567), _u6569), _u6568) = _u6569) )).
% 12.32/12.56 cnf(matrix-3981, plain, ( ~class_Orderings_Olinorder(_u6570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), _u6571), _u6572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), _u6573), _u6572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6570), _u6571), _u6573)), _u6572)) )).
% 12.32/12.56 cnf(matrix-3982, plain, ( ~class_Orderings_Olinorder(_u6574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), _u6575), _u6576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), _u6577), _u6576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6574), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6574), _u6575), _u6577)), _u6576)) )).
% 12.32/12.56 cnf(matrix-3983, plain, ( ~class_Orderings_Olinorder(_u6578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), _u6579), _u6580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), _u6581), _u6582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6578), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6578), _u6579), _u6581)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6578), _u6580), _u6582))) )).
% 12.32/12.56 cnf(matrix-3984, plain, ( ~class_Orderings_Olinorder(_u6583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6583), _u6584), _u6585)), _u6586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), _u6584), _u6586)) )).
% 12.32/12.56 cnf(matrix-3985, plain, ( ~class_Orderings_Olinorder(_u6583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6583), _u6584), _u6585)), _u6586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6583), _u6585), _u6586)) )).
% 12.32/12.56 cnf(matrix-3986, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6587), _u6588), _u6589)), _u6590) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), _u6588), _u6590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6587), _u6589), _u6590))) )).
% 12.32/12.56 cnf(matrix-3987, plain, ( ~class_Orderings_Olinorder(_u6591) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6592), _u6593)), _u6594) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6591), _u6593), _u6594))) )).
% 12.32/12.56 cnf(matrix-3988, plain, ( ~class_Orderings_Olinorder(_u6595) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6596), _u6597)), _u6598) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6596), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6595), _u6597), _u6598))) )).
% 12.32/12.56 cnf(matrix-3989, plain, ( ~class_Orderings_Olinorder(_u6599) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6600), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6601), _u6602)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6599), _u6600), _u6602))) )).
% 12.32/12.56 cnf(matrix-3990, plain, ( ~class_Orderings_Olinorder(_u6603) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6605), _u6606)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6603), _u6604), _u6606))) )).
% 12.32/12.56 cnf(matrix-3991, plain, ( ~class_Orderings_Olinorder(_u6607) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), _u6609)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6607), _u6608), _u6609)) )).
% 12.32/12.56 cnf(matrix-3992, plain, ( ~class_Orderings_Olinorder(_u6610) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), _u6612)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6610), _u6611), _u6612)) )).
% 12.32/12.56 cnf(matrix-3993, plain, ( ~class_Orderings_Olinorder(_u6613) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6613), _u6614), _u6615) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6613), _u6615), _u6614)) )).
% 12.32/12.56 cnf(matrix-3994, plain, ( ~class_Orderings_Olinorder(_u6616) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6617), _u6618) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6618), _u6617)) )).
% 12.32/12.56 cnf(matrix-3995, plain, ( ~class_Orderings_Olinorder(_u6619) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6619), _u6620), _u6620) = _u6620) )).
% 12.32/12.56 cnf(matrix-3996, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6621, _u6622, _u6623, _u6624), hAPP(hAPP(c_Product__Type_OPair(_u6621, _u6623), _u6625), _u6626)) = hAPP(hAPP(c_Product__Type_OPair(_u6622, _u6623), hAPP(_u6624, _u6625)), _u6626)) )).
% 12.32/12.56 cnf(matrix-3997, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6633, _u6635, _u6637, _u6639), _u6641) != hAPP(c_Product__Type_Oapfst(_u6633, _u6635, _u6637, _u6643), _u6641)) | ( hAPP(_u6639, hAPP(c_Product__Type_Ofst(_u6633, _u6637), _u6641)) = hAPP(_u6643, hAPP(c_Product__Type_Ofst(_u6633, _u6637), _u6641))) )).
% 12.32/12.56 cnf(matrix-3998, plain, ( ( hAPP(_u6640, hAPP(c_Product__Type_Ofst(_u6634, _u6638), _u6642)) != hAPP(_u6644, hAPP(c_Product__Type_Ofst(_u6634, _u6638), _u6642))) | ( hAPP(c_Product__Type_Oapfst(_u6634, _u6636, _u6638, _u6640), _u6642) = hAPP(c_Product__Type_Oapfst(_u6634, _u6636, _u6638, _u6644), _u6642)) )).
% 12.32/12.56 cnf(matrix-3999, plain, ( ( hAPP(c_Product__Type_Ofst(_u6645, _u6646), hAPP(c_Product__Type_Oapfst(_u6647, _u6645, _u6646, _u6648), _u6649)) = hAPP(_u6648, hAPP(c_Product__Type_Ofst(_u6647, _u6646), _u6649))) )).
% 12.32/12.56 cnf(matrix-4000, plain, ( ( hAPP(c_Product__Type_Osnd(_u6650, _u6651), hAPP(c_Product__Type_Oapfst(_u6652, _u6650, _u6651, _u6653), _u6654)) = hAPP(c_Product__Type_Osnd(_u6652, _u6651), _u6654)) )).
% 12.32/12.56 cnf(matrix-4001, plain, ( ~class_Int_Onumber(_u6655) | ~class_Orderings_Oord(_u6655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) )).
% 12.32/12.56 cnf(matrix-4002, plain, ( ~class_Int_Onumber(_u6655) | ~class_Orderings_Oord(_u6655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6655), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)), hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6657)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6655), _u6656)) )).
% 12.32/12.56 cnf(matrix-4003, plain, ( ~class_Orderings_Olinorder(_u6658) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), _u6660)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), _u6661))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6658), _u6659), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), _u6660), _u6661)))) )).
% 12.32/12.56 cnf(matrix-4004, plain, ( ~class_Orderings_Olinorder(_u6662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6662), _u6664), _u6665))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6664)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6665)))) )).
% 12.32/12.56 cnf(matrix-4005, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6666) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6666), _u6667), _u6668)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6666), hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), _u6667)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6666), _u6668))) )).
% 12.32/12.56 cnf(matrix-4006, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6669) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6669), _u6670), _u6671)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6669), hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), _u6670)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6669), _u6671))) )).
% 12.32/12.56 cnf(matrix-4007, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6672), _u6673)), _u6673) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6672), _u6673)) )).
% 12.32/12.56 cnf(matrix-4008, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6674, _u6675, _u6676, _u6677), hAPP(c_Product__Type_Oapfst(_u6678, _u6676, _u6674, _u6679), _u6680)) = hAPP(c_Product__Type_Oapfst(_u6678, _u6676, _u6675, _u6679), hAPP(c_Product__Type_Oapsnd(_u6674, _u6675, _u6678, _u6677), _u6680))) )).
% 12.32/12.56 cnf(matrix-4009, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6681)), _u6682) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6681), 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), _u6681)), _u6682)) )).
% 12.32/12.56 cnf(matrix-4010, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6683), hAPP(c_Nat_OSuc, _u6684)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6684), 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)), _u6684)), _u6683)) )).
% 12.32/12.56 cnf(matrix-4011, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6685, _u6686, _u6687, _u6688), hAPP(c_Product__Type_Oapsnd(_u6689, _u6687, _u6685, _u6690), _u6691)) = hAPP(hAPP(c_Product__Type_OPair(_u6686, _u6687), hAPP(_u6688, hAPP(c_Product__Type_Ofst(_u6685, _u6689), _u6691))), hAPP(_u6690, hAPP(c_Product__Type_Osnd(_u6685, _u6689), _u6691)))) )).
% 12.32/12.56 cnf(matrix-4012, plain, ( ~class_Orderings_Olinorder(_u6692) | ( c_Orderings_Oord_Omin(_u6692, hAPP(c_COMBC(_u6692, _u6692, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6692))) = c_Orderings_Oord__class_Omax(_u6692)) )).
% 12.32/12.56 cnf(matrix-4013, plain, ( ~class_Orderings_Oord(_u6693) | ( c_Orderings_Oord__class_Omax(_u6693) = c_Orderings_Oord_Omax(_u6693, c_Orderings_Oord__class_Oless__eq(_u6693))) )).
% 12.32/12.56 cnf(matrix-4014, plain, ( ( _u6694 = 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, _u6694)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6694))) )).
% 12.32/12.56 cnf(matrix-4015, plain, ( ( c_Nitpick_Ozero__frac(_u6695) = c_Nitpick_OAbs__Frac(_u6695, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-4016, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6696, _u6697, _u6698, _u6699) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6696, _u6697), _u6698), _u6699))) )).
% 12.32/12.56 cnf(matrix-4017, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6702) != hAPP(c_Code__Numeral_Onat__of, _u6704)) | ( _u6702 = _u6704) )).
% 12.32/12.56 cnf(matrix-4018, plain, ( ( _u6703 != _u6705) | ( hAPP(c_Code__Numeral_Onat__of, _u6703) = hAPP(c_Code__Numeral_Onat__of, _u6705)) )).
% 12.32/12.56 cnf(matrix-4019, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6708) != hAPP(c_Code__Numeral_Onat__of, _u6710)) | ( _u6708 = _u6710) )).
% 12.32/12.56 cnf(matrix-4020, plain, ( ( _u6709 != _u6711) | ( hAPP(c_Code__Numeral_Onat__of, _u6709) = hAPP(c_Code__Numeral_Onat__of, _u6711)) )).
% 12.32/12.56 cnf(matrix-4021, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6712)) = _u6712) )).
% 12.32/12.56 cnf(matrix-4022, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6713)) = _u6713) )).
% 12.32/12.56 cnf(matrix-4023, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6714)) = _u6714) )).
% 12.32/12.56 cnf(matrix-4024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6717), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6717)), hAPP(c_Code__Numeral_Onat__of, _u6719))) )).
% 12.32/12.56 cnf(matrix-4025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6718)), hAPP(c_Code__Numeral_Onat__of, _u6720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6718), _u6720)) )).
% 12.32/12.56 cnf(matrix-4026, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u6721)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6721)) )).
% 12.32/12.56 cnf(matrix-4027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6724), _u6726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6724)), hAPP(c_Code__Numeral_Onat__of, _u6726))) )).
% 12.32/12.56 cnf(matrix-4028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6725)), hAPP(c_Code__Numeral_Onat__of, _u6727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6725), _u6727)) )).
% 12.32/12.56 cnf(matrix-4029, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6728) = c_Code__Numeral_Onat__of__aux(_u6728, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-4030, plain, ( ( c_Code__Numeral_Onat__of__aux(_u6729, _u6730) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6729)), _u6730)) )).
% 12.32/12.56 cnf(matrix-4031, plain, ( ~class_Orderings_Olinorder(_u6731) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6732), _u6732) = _u6732) )).
% 12.32/12.56 cnf(matrix-4032, plain, ( ~class_Orderings_Olinorder(_u6733) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6733), _u6734), _u6734) = _u6734) )).
% 12.32/12.56 cnf(matrix-4033, plain, ( ~class_Orderings_Olinorder(_u6735) | ( c_Orderings_Oord_Omax(_u6735, hAPP(c_COMBC(_u6735, _u6735, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6735))) = c_Orderings_Oord__class_Omin(_u6735)) )).
% 12.32/12.56 cnf(matrix-4034, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u6736) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6736)))) )).
% 12.32/12.56 cnf(matrix-4035, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6737), _u6738) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6737)), hAPP(c_Code__Numeral_Onat__of, _u6738)))) )).
% 12.32/12.56 cnf(matrix-4036, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6739), _u6740) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6739)), hAPP(c_Code__Numeral_Onat__of, _u6740)))) )).
% 12.32/12.56 cnf(matrix-4037, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6741), _u6742) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6741)), hAPP(c_Code__Numeral_Onat__of, _u6742)))) )).
% 12.32/12.56 cnf(matrix-4038, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6743), _u6744) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6743)), hAPP(c_Code__Numeral_Onat__of, _u6744)))) )).
% 12.32/12.56 cnf(matrix-4039, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6745, _u6746) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6745), hAPP(c_Code__Numeral_Onat__of, _u6746)))) )).
% 12.32/12.56 cnf(matrix-4040, plain, ( ( c_Nitpick_Oone__frac(_u6747) = c_Nitpick_OAbs__Frac(_u6747, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-4041, plain, ( ( c_Nitpick_Onumber__of__frac(_u6748, _u6749) = c_Nitpick_OAbs__Frac(_u6748, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6749), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-4042, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6750), _u6751), _u6752) = c_Nitpick_OAbs__Frac(_u6750, c_Nitpick_Onorm__frac(_u6751, _u6752))) )).
% 12.32/12.56 cnf(matrix-4043, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6753, _u6754, _u6755, hAPP(hAPP(c_COMBB(tc_sum(_u6753, _u6755), _u6754, _u6753), _u6756), c_Sum__Type_OInl(_u6753, _u6755)), hAPP(hAPP(c_COMBB(tc_sum(_u6753, _u6755), _u6754, _u6755), _u6756), c_Sum__Type_OInr(_u6755, _u6753))) = _u6756) )).
% 12.32/12.56 cnf(matrix-4044, plain, ( ( _u6762 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6764, _u6766, _u6762, _u6768), _u6770) = hAPP(c_Product__Type_OPair(_u6764, _u6766), _u6770)) )).
% 12.32/12.56 cnf(matrix-4045, plain, ( ( _u6763 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6765, _u6767, _u6763, _u6769), _u6771) = hAPP(hAPP(c_Product__Type_Oscomp(_u6767, _u6765, _u6767, tc_prod(_u6765, _u6767)), hAPP(_u6769, _u6771)), c_Random_Oiterate(_u6765, _u6767, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6763), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6769))) )).
% 12.32/12.56 cnf(matrix-4046, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6772, _u6773, _u6774, hAPP(c_COMBK(_u6773, _u6772), _u6775), hAPP(c_COMBK(_u6773, _u6774), _u6775)), _u6776) = _u6775) )).
% 12.32/12.56 cnf(matrix-4047, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6778, _u6779, _u6780), hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6781, _u6782, tc_prod(_u6778, _u6779)), _u6783), _u6784)), _u6785) = hAPP(hAPP(c_Product__Type_Oscomp(_u6777, _u6781, _u6782, _u6780), _u6783), hAPP(hAPP(c_COMBC(_u6781, tc_fun(_u6778, tc_fun(_u6779, _u6780)), tc_fun(_u6782, _u6780)), hAPP(hAPP(c_COMBB(tc_fun(_u6782, tc_prod(_u6778, _u6779)), tc_fun(tc_fun(_u6778, tc_fun(_u6779, _u6780)), tc_fun(_u6782, _u6780)), _u6781), c_Product__Type_Oscomp(_u6782, _u6778, _u6779, _u6780)), _u6784)), _u6785))) )).
% 12.32/12.56 cnf(matrix-4048, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6789, _u6790) != c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6791, _u6792)) | ( _u6789 = _u6791) )).
% 12.32/12.56 cnf(matrix-4049, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6789, _u6790) != c_Sum__Type_Osum_Osum__case(_u6786, _u6787, _u6788, _u6791, _u6792)) | ( _u6790 = _u6792) )).
% 12.32/12.56 cnf(matrix-4050, plain, ( ( _u6793 != _u6794) | ( hAPP(c_Sum__Type_Osum_Osum__case(_u6795, _u6796, _u6797, _u6798, _u6799), _u6793) = hAPP(c_Sum__Type_Osum_Osum__case(_u6795, _u6796, _u6797, _u6798, _u6799), _u6794)) )).
% 12.32/12.56 cnf(matrix-4051, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6800, _u6801, _u6802, tc_prod(_u6801, _u6802)), _u6803), c_Product__Type_OPair(_u6801, _u6802)) = _u6803) )).
% 12.32/12.56 cnf(matrix-4052, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6804, _u6805, _u6804, _u6806), hAPP(c_Product__Type_OPair(_u6805, _u6804), _u6807)), _u6808) = hAPP(_u6808, _u6807)) )).
% 12.32/12.56 cnf(matrix-4053, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6809, _u6810, _u6811, _u6812), _u6813), _u6814), _u6815) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6810, _u6811, _u6812), _u6814), hAPP(_u6813, _u6815))) )).
% 12.32/12.56 cnf(matrix-4054, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6816, _u6817, _u6818, _u6819, _u6820), hAPP(c_Sum__Type_OInr(_u6818, _u6816), _u6821)) = hAPP(_u6820, _u6821)) )).
% 12.32/12.56 cnf(matrix-4055, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6822, _u6823, _u6824, _u6825, _u6826), hAPP(c_Sum__Type_OInl(_u6822, _u6824), _u6827)) = hAPP(_u6825, _u6827)) )).
% 12.32/12.56 cnf(matrix-4056, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6828, _u6829, _u6830, _u6831), _u6832), _u6833), _u6834) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6829, _u6830, _u6831), _u6833), hAPP(_u6832, _u6834))) )).
% 12.32/12.56 cnf(matrix-4057, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6835, _u6836, _u6837, _u6838), _u6839), _u6840), _u6841) = hAPP(hAPP(_u6840, hAPP(c_Product__Type_Ofst(_u6836, _u6837), hAPP(_u6839, _u6841))), hAPP(c_Product__Type_Osnd(_u6836, _u6837), hAPP(_u6839, _u6841)))) )).
% 12.32/12.56 cnf(matrix-4058, plain, ( ( c_Nitpick_Oplus__frac(_u6842, _u6843, _u6844) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6842), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6842), _u6843), hAPP(c_Nitpick_Odenom(_u6842), _u6844))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6842), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6842), tc_Int_Oint), c_Nitpick_Ofrac(_u6842)), 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(_u6842), _u6843))), 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(_u6842), _u6843))))), 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(_u6842), _u6844))), 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(_u6842), _u6844)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-4059, plain, ( ( c_Product__Type_Ointernal__split(_u6845, _u6846, _u6847) = c_Product__Type_Oprod_Oprod__case(_u6845, _u6846, _u6847)) )).
% 12.32/12.56 cnf(matrix-4060, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.32/12.56 cnf(matrix-4061, plain, ( ( _u6853 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6855, _u6857, _u6859, _u6861), _u6853) = c_Lazy__Sequence_Oempty(_u6857)) )).
% 12.32/12.56 cnf(matrix-4062, plain, ( ( _u6854 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6856, _u6858, _u6860, _u6862), _u6854) = c_Lazy__Sequence_Obind(_u6856, _u6858, hAPP(_u6860, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6854), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6856, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6858)), _u6862), _u6854))) )).
% 12.32/12.56 cnf(matrix-4063, plain, ( ( _u6868 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6870, _u6872, _u6874, _u6876), _u6868) = c_Lazy__Sequence_Ohit__bound(_u6872)) )).
% 12.32/12.56 cnf(matrix-4064, plain, ( ( _u6869 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6871, _u6873, _u6875, _u6877), _u6869) = c_Lazy__Sequence_Ohb__bind(_u6871, _u6873, hAPP(_u6875, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6869), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6871, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6873))), _u6877), _u6869))) )).
% 12.32/12.56 cnf(matrix-4065, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6878, _u6879, _u6880), _u6881), hAPP(hAPP(c_Product__Type_OPair(_u6878, _u6879), _u6882), _u6883)) = hAPP(hAPP(_u6881, _u6882), _u6883)) )).
% 12.32/12.56 cnf(matrix-4066, plain, ( ( c_Nitpick_Otimes__frac(_u6884, _u6885, _u6886) = hAPP(hAPP(c_Nitpick_Ofrac(_u6884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6884), _u6885)), hAPP(c_Nitpick_Onum(_u6884), _u6886))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6884), _u6885)), hAPP(c_Nitpick_Odenom(_u6884), _u6886)))) )).
% 12.32/12.56 cnf(matrix-4067, plain, ( ~class_Rings_Oinverse(_u6887) | ~class_Rings_Oring__1(_u6887) | ( c_Nitpick_Oof__frac(_u6888, _u6887, _u6889) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6887), hAPP(c_Int_Oring__1__class_Oof__int(_u6887), hAPP(c_Nitpick_Onum(_u6888), _u6889))), hAPP(c_Int_Oring__1__class_Oof__int(_u6887), hAPP(c_Nitpick_Odenom(_u6888), _u6889)))) )).
% 12.32/12.56 cnf(matrix-4068, plain, ( ( c_Nitpick_Oinverse__frac(_u6890, _u6891) = hAPP(hAPP(c_Nitpick_Ofrac(_u6890), hAPP(c_Nitpick_Odenom(_u6890), _u6891)), hAPP(c_Nitpick_Onum(_u6890), _u6891))) )).
% 12.32/12.56 cnf(matrix-4069, plain, ( ( c_Nitpick_Ouminus__frac(_u6892, _u6893) = c_Nitpick_OAbs__Frac(_u6892, 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(_u6892), _u6893))), hAPP(c_Nitpick_Odenom(_u6892), _u6893)))) )).
% 12.32/12.56 cnf(matrix-4070, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6894, _u6895, _u6896, _u6897, _u6898, _u6899, _u6900) = c_New__DSequence_Opos__decr__bind(_u6894, _u6895, hAPP(hAPP(hAPP(_u6896, _u6898), _u6899), _u6900), hAPP(hAPP(c_COMBC(_u6894, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6895))), hAPP(hAPP(c_COMBC(_u6894, 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(_u6895)))), hAPP(hAPP(c_COMBC(_u6894, 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(_u6895))))), _u6897), _u6898)), _u6899)), _u6900))) )).
% 12.32/12.56 cnf(matrix-4071, plain, ( ~c_Nitpick_Oless__frac(_u6904, _u6906, _u6908) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6904), c_Nitpick_Oplus__frac(_u6904, _u6906, c_Nitpick_Ouminus__frac(_u6904, _u6908)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-4072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6905), c_Nitpick_Oplus__frac(_u6905, _u6907, c_Nitpick_Ouminus__frac(_u6905, _u6909)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6905, _u6907, _u6909) )).
% 12.32/12.56 cnf(matrix-4073, plain, ( ~c_Nitpick_Oless__eq__frac(_u6913, _u6915, _u6917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6913), c_Nitpick_Oplus__frac(_u6913, _u6915, c_Nitpick_Ouminus__frac(_u6913, _u6917)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-4074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6914), c_Nitpick_Oplus__frac(_u6914, _u6916, c_Nitpick_Ouminus__frac(_u6914, _u6918)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6914, _u6916, _u6918) )).
% 12.32/12.56 cnf(matrix-4075, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6919, _u6920, _u6921, _u6922, _u6923, _u6924, _u6925) = c_New__DSequence_Oneg__decr__bind(_u6919, _u6920, hAPP(hAPP(hAPP(_u6921, _u6923), _u6924), _u6925), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920)))), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920))))), hAPP(hAPP(c_COMBC(_u6919, 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(_u6920)))))), _u6922), _u6923)), _u6924)), _u6925))) )).
% 12.32/12.56 cnf(matrix-4076, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6926, _u6927, _u6928, _u6929), _u6930) = c_Lazy__Sequence_Ohb__bind(_u6926, _u6927, hAPP(_u6928, _u6930), hAPP(hAPP(c_COMBC(_u6926, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6927))), _u6929), _u6930))) )).
% 12.32/12.56 cnf(matrix-4077, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u6931), _u6932) = c_Lazy__Sequence_Oempty(_u6931)) )).
% 12.32/12.56 cnf(matrix-4078, plain, ( ( c_New__Random__Sequence_Opos__empty(_u6933, _u6934, _u6935, _u6936) = c_New__DSequence_Opos__empty(_u6933)) )).
% 12.32/12.56 cnf(matrix-4079, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u6937, _u6938, _u6939, _u6940), _u6941), _u6942), _u6943) = c_New__DSequence_Oneg__bind(_u6937, _u6938, hAPP(hAPP(hAPP(_u6939, _u6941), _u6942), _u6943), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938)))), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938))))), hAPP(hAPP(c_COMBC(_u6937, 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(_u6938)))))), _u6940), _u6941)), _u6942)), _u6943))) )).
% 12.32/12.56 cnf(matrix-4080, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u6944, _u6945, _u6946, _u6947), _u6948) = c_Lazy__Sequence_Obind(_u6944, _u6945, hAPP(_u6946, _u6948), hAPP(hAPP(c_COMBC(_u6944, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6945)), _u6947), _u6948))) )).
% 12.32/12.56 cnf(matrix-4081, plain, ( ~hBOOL(hAPP(hAPP(_u6951, _u6953), _u6954)) | hBOOL(hAPP(hAPP(_u6952, _u6953), _u6954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6949, tc_fun(_u6950, tc_HOL_Obool))), _u6951), _u6952)) )).
% 12.32/12.56 cnf(matrix-4082, plain, ( ~hBOOL(hAPP(hAPP(_u6955, _u6956), _u6957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6958, tc_fun(_u6959, tc_HOL_Obool))), _u6955), _u6960)) | hBOOL(hAPP(hAPP(_u6960, _u6956), _u6957)) )).
% 12.32/12.56 cnf(matrix-4083, plain, ( ~hBOOL(hAPP(_u6962, _u6964)) | hBOOL(hAPP(_u6963, _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6961, tc_HOL_Obool)), _u6962), _u6963)) )).
% 12.32/12.56 cnf(matrix-4084, plain, ( ~hBOOL(hAPP(_u6965, _u6966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6967, tc_HOL_Obool)), _u6965), _u6968)) | hBOOL(hAPP(_u6968, _u6966)) )).
% 12.32/12.56 cnf(matrix-4085, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u6969, _u6970, _u6971, _u6972), _u6973), _u6974), _u6975) = c_New__DSequence_Opos__bind(_u6969, _u6970, hAPP(hAPP(hAPP(_u6971, _u6973), _u6974), _u6975), hAPP(hAPP(c_COMBC(_u6969, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6970))), hAPP(hAPP(c_COMBC(_u6969, 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(_u6970)))), hAPP(hAPP(c_COMBC(_u6969, 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(_u6970))))), _u6972), _u6973)), _u6974)), _u6975))) )).
% 12.32/12.56 cnf(matrix-4086, plain, ( ( c_HOL_OThe(tc_prod(_u6976, _u6977), hAPP(c_Product__Type_Oprod_Oprod__case(_u6976, _u6977, tc_HOL_Obool), _u6978)) = c_HOL_OThe(tc_prod(_u6976, _u6977), hAPP(hAPP(c_COMBS(tc_prod(_u6976, _u6977), _u6977, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6976, tc_fun(_u6977, tc_HOL_Obool), tc_prod(_u6976, _u6977)), _u6978), c_Product__Type_Ofst(_u6976, _u6977))), c_Product__Type_Osnd(_u6976, _u6977)))) )).
% 12.32/12.56 cnf(matrix-4087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6983), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6985, _u6987, _u6983, _u6989) = 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(_u6985)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6985))) )).
% 12.32/12.56 cnf(matrix-4088, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6984), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6986, _u6988, _u6984, _u6990) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u6986, 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u6988, _u6990)), 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(_u6986)))), 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(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u6986, 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(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u6986, _u6988, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6984), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6990))), 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(_u6986)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), 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(_u6986)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u6986, 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(_u6986)))), 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(_u6986)))), 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(_u6986))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), 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(_u6986)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986))))), tc_prod(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u6986)), hAPP(hAPP(c_COMBB(_u6986, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6986)))), tc_prod(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u6986)), c_Product__Type_Ofst(_u6986, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.32/12.56 cnf(matrix-4089, plain, ( ~hBOOL(hAPP(hAPP(_u6993, hAPP(c_Product__Type_Osnd(_u6994, _u6995), _u6996)), hAPP(c_Product__Type_Ofst(_u6994, _u6995), _u6996))) | hBOOL(hAPP(_u6997, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6994, _u6995, _u6999), _u6998), _u6996))) | hBOOL(hAPP(hAPP(_u6993, skolem101(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)), skolem100(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993))) )).
% 12.32/12.56 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(hAPP(_u6993, hAPP(c_Product__Type_Osnd(_u6994, _u6995), _u6996)), hAPP(c_Product__Type_Ofst(_u6994, _u6995), _u6996))) | hBOOL(hAPP(_u6997, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6994, _u6995, _u6999), _u6998), _u6996))) | ~hBOOL(hAPP(_u6997, hAPP(hAPP(_u6998, skolem100(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)), skolem101(_u6999, _u6998, _u6997, _u6996, _u6995, _u6994, _u6993)))) )).
% 12.32/12.56 cnf(matrix-4091, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7000, _u7001, _u7002, _u7003), _u7004), _u7005) = hAPP(_u7003, hAPP(hAPP(c_Product__Type_OPair(_u7000, _u7001), _u7004), _u7005))) )).
% 12.32/12.56 cnf(matrix-4092, plain, ( ~hBOOL(hAPP(_u7006, hAPP(hAPP(c_Product__Type_OPair(_u7007, _u7008), _u7009), _u7010))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7007, _u7008, tc_HOL_Obool, _u7006), _u7009), _u7010)) )).
% 12.32/12.56 cnf(matrix-4093, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7011, _u7012, tc_HOL_Obool, _u7013), _u7014), _u7015)) | hBOOL(hAPP(_u7013, hAPP(hAPP(c_Product__Type_OPair(_u7011, _u7012), _u7014), _u7015))) )).
% 12.32/12.56 cnf(matrix-4094, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7016, _u7017, tc_HOL_Obool, _u7018), _u7019), _u7020)) | hBOOL(hAPP(_u7018, hAPP(hAPP(c_Product__Type_OPair(_u7016, _u7017), _u7019), _u7020))) )).
% 12.32/12.56 cnf(matrix-4095, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7021, _u7022, _u7023, _u7024), _u7025), _u7026) = hAPP(_u7024, hAPP(hAPP(c_Product__Type_OPair(_u7021, _u7022), _u7025), _u7026))) )).
% 12.32/12.56 cnf(matrix-4096, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u7027, _u7028, _u7029), c_Product__Type_Ocurry(_u7027, _u7028, _u7029, _u7030)) = _u7030) )).
% 12.32/12.56 cnf(matrix-4097, plain, ( ( c_Product__Type_Ocurry(_u7031, _u7032, _u7033, hAPP(c_Product__Type_Oprod_Oprod__case(_u7031, _u7032, _u7033), _u7034)) = _u7034) )).
% 12.32/12.56 cnf(matrix-4098, plain, ( ( c_HOL_OThe(tc_prod(_u7035, _u7036), _u7037) = c_HOL_OThe(tc_prod(_u7035, _u7036), hAPP(c_Product__Type_Oprod_Oprod__case(_u7035, _u7036, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7036, tc_prod(_u7035, _u7036)), tc_fun(_u7036, tc_HOL_Obool), _u7035), hAPP(c_COMBB(tc_prod(_u7035, _u7036), tc_HOL_Obool, _u7036), _u7037)), c_Product__Type_OPair(_u7035, _u7036))))) )).
% 12.32/12.56 cnf(matrix-4099, plain, ( ( c_HOL_OThe(tc_prod(_u7038, _u7039), hAPP(c_Product__Type_Oprod_Oprod__case(_u7038, _u7039, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u7038, tc_fun(_u7039, tc_HOL_Obool), tc_fun(_u7039, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7039, tc_HOL_Obool), tc_fun(_u7039, tc_HOL_Obool)), _u7038), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7039)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7038), c_fconj), hAPP(c_fequal, _u7040)))), hAPP(c_fequal, _u7041)))) = hAPP(hAPP(c_Product__Type_OPair(_u7038, _u7039), _u7040), _u7041)) )).
% 12.32/12.56 cnf(matrix-4100, plain, ( ( c_Divides_Odivmod__nat(_u7042, _u7043) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u7042, _u7043))) )).
% 12.32/12.56 cnf(matrix-4101, plain, ( ( c_Random__Sequence_Oempty(_u7044, _u7045, _u7046) = 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(_u7044)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7044))) )).
% 12.32/12.56 cnf(matrix-4102, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u7047), _u7048), _u7049), _u7050) = 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(_u7047)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u7047), _u7048))) )).
% 12.32/12.56 cnf(matrix-4103, plain, ( ( c_HOL_OThe(_u7051, hAPP(hAPP(c_COMBC(_u7051, _u7051, tc_HOL_Obool), c_fequal), _u7052)) = _u7052) )).
% 12.32/12.56 cnf(matrix-4104, plain, ( ( c_HOL_OThe(_u7053, hAPP(c_fequal, _u7054)) = _u7054) )).
% 12.32/12.56 cnf(matrix-4105, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u7060, _u7062), _u7064)) | ~hBOOL(hAPP(hAPP(c_member(_u7060), _u7055), _u7064)) | hBOOL(hAPP(_u7062, _u7055)) )).
% 12.32/12.56 cnf(matrix-4106, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u7061, _u7063), _u7065)) | hBOOL(hAPP(hAPP(c_member(_u7061), skolem102(_u7065, _u7063, _u7061)), _u7065)) )).
% 12.32/12.56 cnf(matrix-4107, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u7061, _u7063), _u7065)) | ~hBOOL(hAPP(_u7063, skolem102(_u7065, _u7063, _u7061))) )).
% 12.32/12.56 cnf(matrix-4108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7066, tc_HOL_Obool)), _u7067), _u7068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7066, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u7066, _u7067)), c_Predicate_OPowp(_u7066, _u7068))) )).
% 12.32/12.56 cnf(matrix-4109, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7069), _u7070)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7069), _u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7070), _u7071)) )).
% 12.32/12.56 cnf(matrix-4110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7072)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7073), _u7072)), _u7072)) | ( _u7073 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7072)) | ( _u7073 != 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), _u7073), _u7072)), _u7072)) )).
% 12.32/12.56 cnf(matrix-4112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7074)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7074), _u7075)), _u7074)) | ( _u7075 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7074)) | ( _u7075 != 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), _u7074), _u7075)), _u7074)) )).
% 12.32/12.56 cnf(matrix-4114, plain, ( ( _u7076 = 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), _u7076), _u7077)), _u7076)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7077) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-4115, plain, ( ( _u7076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7077) != 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), _u7076), _u7077)), _u7076)) )).
% 12.32/12.56 cnf(matrix-4116, 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), _u7078)), 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))), _u7079))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7080))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7080)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7078), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7078), 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), _u7080), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7079))))) )).
% 12.32/12.56 cnf(matrix-4117, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7081), _u7081)) )).
% 12.32/12.56 cnf(matrix-4118, plain, ( ~class_Rings_Ocomm__semiring__1(_u7082) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7082), _u7083), c_Groups_Ozero__class_Ozero(_u7082))) )).
% 12.32/12.56 cnf(matrix-4119, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7084)) )).
% 12.32/12.56 cnf(matrix-4120, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), hAPP(c_Groups_Oabs__class_Oabs(_u7085), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7086, _u7085), _u7087), _u7088))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7086, _u7085), hAPP(hAPP(c_COMBB(_u7085, _u7085, _u7086), c_Groups_Oabs__class_Oabs(_u7085)), _u7087)), _u7088))) )).
% 12.32/12.56 cnf(matrix-4121, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), c_Groups_Ozero__class_Ozero(_u7089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7090, _u7089), hAPP(hAPP(c_COMBB(_u7089, _u7089, _u7090), c_Groups_Oabs__class_Oabs(_u7089)), _u7091)), _u7092))) )).
% 12.32/12.56 cnf(matrix-4122, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7094), _u7093)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7093) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7094)) )).
% 12.32/12.56 cnf(matrix-4123, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7096), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7096 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4124, plain, ( ( _u7097 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7097), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-4125, plain, ( ~class_Rings_Olinordered__idom(_u7098) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7098), _u7099) != hAPP(c_Groups_Oabs__class_Oabs(_u7098), _u7100)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7098), _u7099), _u7100)) )).
% 12.32/12.56 cnf(matrix-4126, plain, ( ~class_Rings_Olinordered__idom(_u7101) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), hAPP(c_Groups_Oabs__class_Oabs(_u7101), _u7102)), _u7103)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), _u7102), _u7103)) )).
% 12.32/12.56 cnf(matrix-4127, plain, ( ~class_Rings_Olinordered__idom(_u7101) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), _u7102), _u7103)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7101), hAPP(c_Groups_Oabs__class_Oabs(_u7101), _u7102)), _u7103)) )).
% 12.32/12.56 cnf(matrix-4128, plain, ( ~class_Rings_Olinordered__idom(_u7104) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), hAPP(c_Groups_Oabs__class_Oabs(_u7104), _u7106))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), _u7106)) )).
% 12.32/12.56 cnf(matrix-4129, plain, ( ~class_Rings_Olinordered__idom(_u7104) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), _u7106)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7104), _u7105), hAPP(c_Groups_Oabs__class_Oabs(_u7104), _u7106))) )).
% 12.32/12.56 cnf(matrix-4130, plain, ( ~class_Rings_Ocomm__semiring__1(_u7107) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7107), _u7108), _u7109)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7107), hAPP(hAPP(c_Power_Opower__class_Opower(_u7107), _u7108), _u7110)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7107), _u7109), _u7110))) )).
% 12.32/12.56 cnf(matrix-4131, plain, ( ~class_Rings_Ocomm__semiring__1(_u7111) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7111), c_Groups_Oone__class_Oone(_u7111)), _u7112)) )).
% 12.32/12.56 cnf(matrix-4132, plain, ( ~class_Rings_Ocomm__semiring__1(_u7113) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7113), c_Groups_Ozero__class_Ozero(_u7113)), _u7114)) | ( _u7114 = c_Groups_Ozero__class_Ozero(_u7113)) )).
% 12.32/12.56 cnf(matrix-4133, plain, ( ~class_Rings_Ocomm__semiring__1(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7118)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7117), _u7118))) )).
% 12.32/12.56 cnf(matrix-4134, plain, ( ( _u7121 != _u7123) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7121), _u7123)) )).
% 12.32/12.56 cnf(matrix-4135, plain, ( ( _u7121 != _u7123) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7123), _u7121)) )).
% 12.32/12.56 cnf(matrix-4136, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7122), _u7124)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7124), _u7122)) | ( _u7122 = _u7124) )).
% 12.32/12.56 cnf(matrix-4137, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7127), _u7129)) | ( _u7127 = _u7129) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7129), _u7127)) )).
% 12.32/12.56 cnf(matrix-4138, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7128), _u7130)) | ( _u7128 != _u7130) )).
% 12.32/12.56 cnf(matrix-4139, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7133), _u7135)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7135), _u7133)) | ( _u7133 != _u7135) )).
% 12.32/12.56 cnf(matrix-4140, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7134), _u7136)) | ( _u7134 = _u7136) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7136), _u7134)) )).
% 12.32/12.56 cnf(matrix-4141, plain, ( ( _u7137 = _u7138) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7137), _u7138)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7138), _u7137)) )).
% 12.32/12.56 cnf(matrix-4142, plain, ( ( _u7139 != _u7140) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7139), _u7140)) )).
% 12.32/12.56 cnf(matrix-4143, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7141), _u7142)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7142), _u7141)) | ( _u7142 = _u7141) )).
% 12.32/12.56 cnf(matrix-4144, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7141), _u7142)) | ( _u7142 != _u7141) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7142), _u7141)) )).
% 12.32/12.56 cnf(matrix-4145, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7143), _u7144)) | ( _u7143 = _u7144) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7144), _u7143)) )).
% 12.32/12.56 cnf(matrix-4146, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7145), _u7146)) | ( _u7145 = _u7146) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7146), _u7145)) )).
% 12.32/12.56 cnf(matrix-4147, plain, ( ( _u7147 != _u7148) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7147), _u7149)) )).
% 12.32/12.56 cnf(matrix-4148, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7150), _u7151)) | ( _u7151 != _u7152) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7150), _u7152)) )).
% 12.32/12.56 cnf(matrix-4149, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7153), _u7154)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7154), _u7153)) | ( _u7153 = _u7154) )).
% 12.32/12.56 cnf(matrix-4150, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7155), _u7156)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7156), _u7155)) | ( _u7155 = _u7156) )).
% 12.32/12.56 cnf(matrix-4151, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7157), _u7158)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7158), _u7159)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7157), _u7159)) )).
% 12.32/12.56 cnf(matrix-4152, plain, ( ( _u7160 != _u7161) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7161)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7160), _u7162)) )).
% 12.32/12.56 cnf(matrix-4153, plain, ( ( _u7160 != _u7161) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7162), _u7160)) )).
% 12.32/12.56 cnf(matrix-4154, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7164), _u7165)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7164)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7165)) )).
% 12.32/12.56 cnf(matrix-4155, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7164), _u7165)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7164)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7165), _u7163)) )).
% 12.32/12.56 cnf(matrix-4156, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7166), _u7167)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7167), _u7166)) | ( _u7166 != _u7167) )).
% 12.32/12.56 cnf(matrix-4157, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7175)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7175), _u7174)) | ( _u7174 != _u7175) )).
% 12.32/12.56 cnf(matrix-4158, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7176), _u7177)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7177), _u7176)) | ( _u7177 != _u7176) )).
% 12.32/12.56 cnf(matrix-4159, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7179)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7178)) | ( _u7179 != _u7180) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7180)) )).
% 12.32/12.56 cnf(matrix-4160, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7179)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7178)) | ( _u7179 != _u7180) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7180), _u7178)) )).
% 12.32/12.56 cnf(matrix-4161, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7182)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7181)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7183)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7183)) )).
% 12.32/12.56 cnf(matrix-4162, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7182)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7181)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7182), _u7183)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7183), _u7181)) )).
% 12.32/12.56 cnf(matrix-4163, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7186)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7188)) )).
% 12.32/12.56 cnf(matrix-4164, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7186), _u7187)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7186)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7187), _u7188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7187)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7188), _u7186)) )).
% 12.32/12.56 cnf(matrix-4165, plain, ( ~class_Orderings_Olinorder(_u7191) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7192) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7193)) | ( _u7192 = _u7193) )).
% 12.32/12.56 cnf(matrix-4166, plain, ( ~class_Orderings_Olinorder(_u7191) | ( _u7192 != _u7193) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7192) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7191), _u7193)) )).
% 12.32/12.56 cnf(matrix-4167, plain, ( ~class_Rings_Ocomm__semiring__1(_u7194) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7194), _u7195), _u7195)) )).
% 12.32/12.56 cnf(matrix-4168, plain, ( ~class_Rings_Ocomm__semiring__1(_u7196) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7197), _u7198)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7198), _u7199)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7196), _u7197), _u7199)) )).
% 12.32/12.56 cnf(matrix-4169, plain, ( ~class_Divides_Osemiring__div(_u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), c_Divides_Odiv__class_Omod(_u7200, _u7202, _u7203))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), _u7203)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7200), _u7201), _u7202)) )).
% 12.32/12.56 cnf(matrix-4170, plain, ( ~class_Divides_Osemiring__div(_u7204) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), _u7206)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), _u7207)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7204), _u7205), c_Divides_Odiv__class_Omod(_u7204, _u7206, _u7207))) )).
% 12.32/12.56 cnf(matrix-4171, plain, ( ~class_Divides_Osemiring__div(_u7208) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7208), _u7209), _u7210)) | ( c_Divides_Odiv__class_Omod(_u7208, c_Divides_Odiv__class_Omod(_u7208, _u7211, _u7210), _u7209) = c_Divides_Odiv__class_Omod(_u7208, _u7211, _u7209)) )).
% 12.32/12.56 cnf(matrix-4172, plain, ( ~class_Divides_Osemiring__div(_u7212) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7214)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), c_Divides_Odiv__class_Omod(_u7212, _u7215, _u7214))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7215)) )).
% 12.32/12.56 cnf(matrix-4173, plain, ( ~class_Divides_Osemiring__div(_u7212) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7214)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), _u7215)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7212), _u7213), c_Divides_Odiv__class_Omod(_u7212, _u7215, _u7214))) )).
% 12.32/12.56 cnf(matrix-4174, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7218), _u7220)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7218)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7220))) )).
% 12.32/12.56 cnf(matrix-4175, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7219)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7221))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7221)) )).
% 12.32/12.56 cnf(matrix-4176, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7224)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7226))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7224), _u7226)) )).
% 12.32/12.56 cnf(matrix-4177, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7225), _u7227)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7225)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7227))) )).
% 12.32/12.56 cnf(matrix-4178, plain, ( ~class_Rings_Ocomm__semiring__1(_u7228) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7228), _u7229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7228), _u7229), _u7230))) )).
% 12.32/12.56 cnf(matrix-4179, plain, ( ~class_Rings_Ocomm__semiring__1(_u7231) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7231), _u7232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7231), _u7233), _u7232))) )).
% 12.32/12.56 cnf(matrix-4180, plain, ( ~class_Rings_Ocomm__semiring__1(_u7234) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7234), _u7235), _u7236)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7234), _u7235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7234), _u7236), _u7237))) )).
% 12.32/12.56 cnf(matrix-4181, plain, ( ~class_Rings_Ocomm__semiring__1(_u7238) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7238), _u7239), _u7240)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7238), _u7239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7238), _u7241), _u7240))) )).
% 12.32/12.56 cnf(matrix-4182, plain, ( ~class_Rings_Ocomm__semiring__1(_u7242) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), _u7243), _u7244)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), _u7245), _u7246)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), _u7243), _u7245)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), _u7244), _u7246))) )).
% 12.32/12.56 cnf(matrix-4183, plain, ( ~class_Rings_Odvd(_u7247) | ( _u7248 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7247), _u7249), _u7250)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7247), _u7249), _u7248)) )).
% 12.32/12.56 cnf(matrix-4184, plain, ( ~class_Rings_Ocomm__semiring__1(_u7251) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7251), _u7252), _u7253)), _u7254)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7251), _u7252), _u7254)) )).
% 12.32/12.56 cnf(matrix-4185, plain, ( ~class_Rings_Ocomm__semiring__1(_u7255) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7255), _u7256), _u7257)), _u7258)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7255), _u7257), _u7258)) )).
% 12.32/12.56 cnf(matrix-4186, plain, ( ~class_Divides_Osemiring__div(_u7259) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7261)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7262)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7261), _u7260)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7262), _u7260))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7261), _u7262)) )).
% 12.32/12.56 cnf(matrix-4187, plain, ( ~class_Divides_Osemiring__div(_u7259) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7261)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7260), _u7262)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), _u7261), _u7262)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7259), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7261), _u7260)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7259), _u7262), _u7260))) )).
% 12.32/12.56 cnf(matrix-4188, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7264, _u7265))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), _u7265)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7263), _u7264)) )).
% 12.32/12.56 cnf(matrix-4189, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), _u7267)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), _u7268)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7266), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7267, _u7268))) )).
% 12.32/12.56 cnf(matrix-4190, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7271), _u7273)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7271), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7273))) )).
% 12.32/12.56 cnf(matrix-4191, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7272), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7274))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7272), _u7274)) )).
% 12.32/12.56 cnf(matrix-4192, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7277), _u7279)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7277)), _u7279)) )).
% 12.32/12.56 cnf(matrix-4193, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7278)), _u7280)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7278), _u7280)) )).
% 12.32/12.56 cnf(matrix-4194, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7282), _u7283))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), _u7283)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7281), _u7282)) )).
% 12.32/12.56 cnf(matrix-4195, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7286), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7288), _u7286))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7286), _u7288)) )).
% 12.32/12.56 cnf(matrix-4196, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7287), _u7289)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7289), _u7287))) )).
% 12.32/12.56 cnf(matrix-4197, plain, ( ~class_Rings_Osemiring__1(_u7290) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7290), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7291, tc_Nat_Onat), _u7292), _u7293)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7291, _u7290), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7290, _u7291), c_Nat_Osemiring__1__class_Oof__nat(_u7290)), _u7292)), _u7293)) )).
% 12.32/12.56 cnf(matrix-4198, plain, ( ~class_Rings_Ocomm__ring__1(_u7294) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), hAPP(c_Groups_Ouminus__class_Ouminus(_u7294), _u7296))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), _u7296)) )).
% 12.32/12.56 cnf(matrix-4199, plain, ( ~class_Rings_Ocomm__ring__1(_u7294) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), _u7296)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7294), _u7295), hAPP(c_Groups_Ouminus__class_Ouminus(_u7294), _u7296))) )).
% 12.32/12.56 cnf(matrix-4200, plain, ( ~class_Rings_Ocomm__ring__1(_u7297) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), hAPP(c_Groups_Ouminus__class_Ouminus(_u7297), _u7298)), _u7299)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), _u7298), _u7299)) )).
% 12.32/12.56 cnf(matrix-4201, plain, ( ~class_Rings_Ocomm__ring__1(_u7297) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), _u7298), _u7299)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7297), hAPP(c_Groups_Ouminus__class_Ouminus(_u7297), _u7298)), _u7299)) )).
% 12.32/12.56 cnf(matrix-4202, plain, ( ~class_Rings_Ocomm__ring__1(_u7300) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), _u7302)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), _u7303)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7300), _u7301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7300), _u7302), _u7303))) )).
% 12.32/12.56 cnf(matrix-4203, plain, ( ~class_Groups_Ocomm__monoid__add(_u7304) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7304), _u7305), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7306))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7304), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7304), _u7305), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7306))), hAPP(_u7305, _u7306))) )).
% 12.32/12.56 cnf(matrix-4204, plain, ( ~class_Rings_Oring__1(_u7307) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7308, tc_Int_Oint), _u7309), _u7310)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7308, _u7307), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7307, _u7308), c_Int_Oring__1__class_Oof__int(_u7307)), _u7309)), _u7310)) )).
% 12.32/12.56 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), _u7312)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), _u7313)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7312), _u7313))) )).
% 12.32/12.56 cnf(matrix-4206, plain, ( ~class_Groups_Ocomm__monoid__add(_u7314) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7315, _u7314), hAPP(hAPP(c_COMBC(_u7315, tc_fun(_u7316, tc_HOL_Obool), _u7314), hAPP(hAPP(c_COMBB(tc_fun(_u7316, _u7314), tc_fun(tc_fun(_u7316, tc_HOL_Obool), _u7314), _u7315), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7316, _u7314)), _u7317)), _u7318)), _u7319) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7316, _u7314), hAPP(hAPP(c_COMBC(_u7316, tc_fun(_u7315, tc_HOL_Obool), _u7314), hAPP(hAPP(c_COMBB(tc_fun(_u7315, _u7314), tc_fun(tc_fun(_u7315, tc_HOL_Obool), _u7314), _u7316), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7315, _u7314)), hAPP(c_COMBC(_u7315, _u7316, _u7314), _u7317))), _u7319)), _u7318)) )).
% 12.32/12.56 cnf(matrix-4207, plain, ( ~class_Groups_Ocomm__monoid__add(_u7320) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7321, _u7320), hAPP(c_COMBK(_u7320, _u7321), c_Groups_Ozero__class_Ozero(_u7320))), _u7322) = c_Groups_Ozero__class_Ozero(_u7320)) )).
% 12.32/12.56 cnf(matrix-4208, plain, ( ~class_Groups_Ocomm__monoid__add(_u7323) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), hAPP(hAPP(c_COMBS(_u7324, _u7323, _u7323), hAPP(hAPP(c_COMBB(_u7323, tc_fun(_u7323, _u7323), _u7324), c_Groups_Oplus__class_Oplus(_u7323)), _u7325)), _u7326)), _u7327) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7323), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), _u7325), _u7327)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7324, _u7323), _u7326), _u7327))) )).
% 12.32/12.56 cnf(matrix-4209, plain, ( ~class_Rings_Osemiring__0(_u7328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7328), _u7329), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7330, _u7328), _u7331), _u7332)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7330, _u7328), hAPP(hAPP(c_COMBB(_u7328, _u7328, _u7330), hAPP(c_Groups_Otimes__class_Otimes(_u7328), _u7329)), _u7331)), _u7332)) )).
% 12.32/12.56 cnf(matrix-4210, plain, ( ~class_Rings_Osemiring__0(_u7333) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), _u7335), _u7336)), _u7337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), hAPP(hAPP(c_COMBC(_u7334, _u7333, _u7333), hAPP(hAPP(c_COMBB(_u7333, tc_fun(_u7333, _u7333), _u7334), c_Groups_Otimes__class_Otimes(_u7333)), _u7335)), _u7337)), _u7336)) )).
% 12.32/12.56 cnf(matrix-4211, plain, ( ~class_Rings_Osemiring__0(_u7338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7339, _u7338), _u7340), _u7341)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7342, _u7338), _u7343), _u7344)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7339, _u7338), hAPP(hAPP(c_COMBC(_u7339, tc_fun(_u7342, tc_HOL_Obool), _u7338), hAPP(hAPP(c_COMBB(tc_fun(_u7342, _u7338), tc_fun(tc_fun(_u7342, tc_HOL_Obool), _u7338), _u7339), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7342, _u7338)), hAPP(hAPP(c_COMBC(_u7339, tc_fun(_u7342, _u7338), tc_fun(_u7342, _u7338)), hAPP(hAPP(c_COMBB(tc_fun(_u7338, _u7338), tc_fun(tc_fun(_u7342, _u7338), tc_fun(_u7342, _u7338)), _u7339), c_COMBB(_u7338, _u7338, _u7342)), hAPP(hAPP(c_COMBB(_u7338, tc_fun(_u7338, _u7338), _u7339), c_Groups_Otimes__class_Otimes(_u7338)), _u7340))), _u7343))), _u7344)), _u7341)) )).
% 12.32/12.56 cnf(matrix-4212, plain, ( ~class_Groups_Oab__group__add(_u7345) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), hAPP(hAPP(c_COMBS(_u7346, _u7345, _u7345), hAPP(hAPP(c_COMBB(_u7345, tc_fun(_u7345, _u7345), _u7346), c_Groups_Ominus__class_Ominus(_u7345)), _u7347)), _u7348)), _u7349) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7345), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), _u7347), _u7349)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7346, _u7345), _u7348), _u7349))) )).
% 12.32/12.56 cnf(matrix-4213, plain, ( ~class_Groups_Oab__group__add(_u7350) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7351, _u7350), hAPP(hAPP(c_COMBB(_u7350, _u7350, _u7351), c_Groups_Ouminus__class_Ouminus(_u7350)), _u7352)), _u7353) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7350), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7351, _u7350), _u7352), _u7353))) )).
% 12.32/12.56 cnf(matrix-4214, plain, ( ~class_Fields_Ofield(_u7354) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), _u7356), _u7357)), _u7358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), hAPP(hAPP(c_COMBC(_u7355, _u7354, _u7354), hAPP(hAPP(c_COMBB(_u7354, tc_fun(_u7354, _u7354), _u7355), c_Rings_Oinverse__class_Odivide(_u7354)), _u7356)), _u7358)), _u7357)) )).
% 12.32/12.56 cnf(matrix-4215, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7359) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7360, _u7359), hAPP(hAPP(c_COMBB(_u7359, _u7359, _u7360), c_Groups_Oabs__class_Oabs(_u7359)), _u7361)), _u7362)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7360, _u7359), hAPP(hAPP(c_COMBB(_u7359, _u7359, _u7360), c_Groups_Oabs__class_Oabs(_u7359)), _u7361)), _u7362)) )).
% 12.32/12.56 cnf(matrix-4216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7364)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7363)), hAPP(c_Int_Onat, _u7364))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7363), _u7364)) )).
% 12.32/12.56 cnf(matrix-4217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7364)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7363), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7363)), hAPP(c_Int_Onat, _u7364))) )).
% 12.32/12.56 cnf(matrix-4218, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7367)), _u7369)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7367), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7369)))) )).
% 12.32/12.56 cnf(matrix-4219, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7368), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7370)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7368)), _u7370)) )).
% 12.32/12.56 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7373), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7375))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7373))), _u7375)) )).
% 12.32/12.56 cnf(matrix-4221, 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), _u7374))), _u7376)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7374), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7376))) )).
% 12.32/12.56 cnf(matrix-4222, plain, ( ~class_Orderings_Olinorder(_u7377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7378)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7377), _u7378), _u7379)) )).
% 12.32/12.56 cnf(matrix-4223, plain, ( ~class_Orderings_Olinorder(_u7377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7377), _u7378), _u7379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7378)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7377), _u7379))) )).
% 12.32/12.56 cnf(matrix-4224, plain, ( ~class_Rings_Oidom(_u7380) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ( _u7381 = c_Groups_Ozero__class_Ozero(_u7380)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), _u7382), _u7383)) )).
% 12.32/12.56 cnf(matrix-4225, plain, ( ~class_Rings_Oidom(_u7380) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ( _u7381 != c_Groups_Ozero__class_Ozero(_u7380)) )).
% 12.32/12.56 cnf(matrix-4226, plain, ( ~class_Rings_Oidom(_u7380) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7380), _u7381), _u7383))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7380), _u7382), _u7383)) )).
% 12.32/12.56 cnf(matrix-4227, plain, ( ~class_Rings_Oidom(_u7384) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ( _u7386 = c_Groups_Ozero__class_Ozero(_u7384)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), _u7385), _u7387)) )).
% 12.32/12.56 cnf(matrix-4228, plain, ( ~class_Rings_Oidom(_u7384) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ( _u7386 != c_Groups_Ozero__class_Ozero(_u7384)) )).
% 12.32/12.56 cnf(matrix-4229, plain, ( ~class_Rings_Oidom(_u7384) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7385), _u7386)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7384), _u7387), _u7386))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7384), _u7385), _u7387)) )).
% 12.32/12.56 cnf(matrix-4230, plain, ( ~class_Divides_Osemiring__div(_u7388) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7388), _u7389), _u7390)) | ( c_Divides_Odiv__class_Omod(_u7388, _u7390, _u7389) = c_Groups_Ozero__class_Ozero(_u7388)) )).
% 12.32/12.56 cnf(matrix-4231, plain, ( ~class_Divides_Osemiring__div(_u7391) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7391), _u7392), _u7393)) | ( c_Divides_Odiv__class_Omod(_u7391, _u7393, _u7392) = c_Groups_Ozero__class_Ozero(_u7391)) )).
% 12.32/12.56 cnf(matrix-4232, plain, ( ~class_Divides_Osemiring__div(_u7391) | ( c_Divides_Odiv__class_Omod(_u7391, _u7393, _u7392) != c_Groups_Ozero__class_Ozero(_u7391)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7391), _u7392), _u7393)) )).
% 12.32/12.56 cnf(matrix-4233, plain, ( ~class_Orderings_Olinorder(_u7394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7394, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7395)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7394), _u7395), _u7396)) )).
% 12.32/12.56 cnf(matrix-4234, plain, ( ~class_Orderings_Olinorder(_u7394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7394), _u7395), _u7396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7394, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7395)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7394), _u7396))) )).
% 12.32/12.56 cnf(matrix-4235, plain, ( ~class_Divides_Osemiring__div(_u7397) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7397), _u7398), _u7399)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7397), _u7398), _u7400)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7397), _u7399), _u7400)), _u7398) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7397), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), _u7399), _u7398)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7397), _u7400), _u7398))) )).
% 12.32/12.56 cnf(matrix-4236, plain, ( ~class_Divides_Osemiring__div(_u7401) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7401), _u7402), _u7403)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7401), _u7402), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7401), _u7403), _u7402)) = _u7403) )).
% 12.32/12.56 cnf(matrix-4237, plain, ( ~class_Divides_Osemiring__div(_u7404) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7404), _u7405), _u7406)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7404), _u7407), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7404), _u7406), _u7405)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7404), _u7407), _u7406)), _u7405)) )).
% 12.32/12.56 cnf(matrix-4238, plain, ( ~class_Divides_Osemiring__div(_u7408) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7408), _u7409), _u7410)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7408), _u7410), _u7409)), _u7409) = _u7410) )).
% 12.32/12.56 cnf(matrix-4239, plain, ( ~class_Divides_Osemiring__div(_u7411) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7411), _u7412), _u7413)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7411), _u7413), _u7412)), _u7414) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), _u7413), _u7414)), _u7412)) )).
% 12.32/12.56 cnf(matrix-4240, plain, ( ~class_Divides_Osemiring__div(_u7415) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7415), _u7416), _u7417)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7415), _u7418), _u7419)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), _u7417), _u7416)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), _u7419), _u7418)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7415), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7417), _u7419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7416), _u7418))) )).
% 12.32/12.56 cnf(matrix-4241, plain, ( ~class_Divides_Oring__div(_u7420) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7420), _u7421), _u7422)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7420), _u7422), hAPP(c_Groups_Ouminus__class_Ouminus(_u7420), _u7421)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7420), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7420), _u7422), _u7421))) )).
% 12.32/12.56 cnf(matrix-4242, plain, ( ~class_Divides_Oring__div(_u7423) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7423), _u7424), _u7425)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7423), hAPP(c_Groups_Ouminus__class_Ouminus(_u7423), _u7425)), _u7424) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7423), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7423), _u7425), _u7424))) )).
% 12.32/12.56 cnf(matrix-4243, plain, ( ~class_Rings_Ocomm__semiring__1(_u7426) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7426), hAPP(hAPP(c_Power_Opower__class_Opower(_u7426), _u7427), _u7428)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7430), _u7428)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7426), hAPP(hAPP(c_Power_Opower__class_Opower(_u7426), _u7427), _u7430)), _u7429)) )).
% 12.32/12.56 cnf(matrix-4244, plain, ( ~class_Rings_Ocomm__semiring__1(_u7431) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7431), _u7432), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7434), _u7435)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7431), hAPP(hAPP(c_Power_Opower__class_Opower(_u7431), _u7432), _u7434)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7431), _u7433), _u7435))) )).
% 12.32/12.56 cnf(matrix-4245, plain, ( ~class_Rings_Ocomm__semiring__1(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7437), _u7438)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7436), hAPP(hAPP(c_Power_Opower__class_Opower(_u7436), _u7439), _u7437)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7436), _u7439), _u7438))) )).
% 12.32/12.56 cnf(matrix-4246, plain, ( ~class_Divides_Osemiring__div(_u7440) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7440), _u7441), _u7442)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7440), _u7442), _u7441)), _u7443) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7440), hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), _u7442), _u7443)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7440), _u7441), _u7443))) )).
% 12.32/12.56 cnf(matrix-4247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7444), _u7445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7445), _u7444)) | ( _u7444 = _u7445) )).
% 12.32/12.56 cnf(matrix-4248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7446), _u7447)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7446)) )).
% 12.32/12.56 cnf(matrix-4249, plain, ( ( _u7448 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7449), _u7450)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7449)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7450))) )).
% 12.32/12.56 cnf(matrix-4250, plain, ( ( _u7448 = 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), _u7448), _u7449)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7448), _u7450))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7449), _u7450)) )).
% 12.32/12.56 cnf(matrix-4251, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7451), _u7453))) | ( _u7451 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7452), _u7453)) )).
% 12.32/12.56 cnf(matrix-4252, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7457), _u7461)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7457), _u7459)) )).
% 12.32/12.56 cnf(matrix-4253, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7458), _u7460)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7460), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7458), _u7462)))) )).
% 12.32/12.56 cnf(matrix-4254, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), _u7464)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), _u7466))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7467), _u7464))), _u7466))) )).
% 12.32/12.56 cnf(matrix-4255, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), _u7464)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7467), _u7464))), _u7466))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7465), _u7466))) )).
% 12.32/12.56 cnf(matrix-4256, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7469), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7469 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-4257, plain, ( ( _u7470 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7470), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-4258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7471), _u7472)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7472), _u7471)) )).
% 12.32/12.56 cnf(matrix-4259, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7476), _u7478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7476), _u7480))) | ( _u7476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7478), _u7480)) )).
% 12.32/12.56 cnf(matrix-4260, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7481))) | ( _u7477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4261, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7477), _u7481))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7479), _u7481)) )).
% 12.32/12.56 cnf(matrix-4262, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7482), _u7483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7483), _u7482)) = _u7483) )).
% 12.32/12.56 cnf(matrix-4263, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7487, _u7489) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7491, _u7489)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7489), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7487), _u7491))) )).
% 12.32/12.56 cnf(matrix-4264, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7490), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7488), _u7492))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7488, _u7490) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7492, _u7490)) )).
% 12.32/12.56 cnf(matrix-4265, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7494), _u7495))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), _u7494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7495), _u7494)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7493), _u7495)) )).
% 12.32/12.56 cnf(matrix-4266, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7497), _u7498))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), _u7498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7498), _u7497)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7496), _u7497)) )).
% 12.32/12.56 cnf(matrix-4267, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7500), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7500) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-4268, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7501) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7501), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.32/12.56 cnf(matrix-4269, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7502), _u7503)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7503), _u7502)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7503)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7502))) )).
% 12.32/12.56 cnf(matrix-4270, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7506)), _u7508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7506)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7506), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7508))) )).
% 12.32/12.56 cnf(matrix-4271, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7506)), _u7508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7506)) | ( _u7508 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4272, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7507)) | ( _u7509 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4273, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7507), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7509))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7507)) )).
% 12.32/12.56 cnf(matrix-4274, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7507)), _u7509)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7507), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7509))) | ( _u7509 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4275, plain, ( ~class_Rings_Ocomm__semiring__1(_u7510) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), c_Groups_Oone__class_Oone(_u7510)), c_Groups_Oone__class_Oone(_u7510))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7510), hAPP(hAPP(c_COMBB(_u7510, _u7510, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u7510, _u7510), hAPP(hAPP(c_COMBB(_u7510, tc_fun(_u7510, _u7510), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u7510)), c_Nat_Osemiring__1__class_Oof__nat(_u7510))), _u7512))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7513))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7510), _u7513)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7510), _u7511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7513), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7512))))) )).
% 12.32/12.56 cnf(matrix-4276, plain, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), _u7514))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7518), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7518), skolem103(_u7520, _u7519, _u7518)), c_Groups_Ozero__class_Ozero(_u7518)))) )).
% 12.32/12.56 cnf(matrix-4277, plain, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), _u7514))) | hBOOL(hAPP(_u7519, skolem103(_u7520, _u7519, _u7518))) )).
% 12.32/12.56 cnf(matrix-4278, plain, ( ~class_Rings_Odvd(_u7518) | ~class_Rings_Osemiring__0(_u7518) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7518), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7518), _u7516), c_Groups_Ozero__class_Ozero(_u7518)))) | ~hBOOL(hAPP(_u7519, _u7516)) | hBOOL(hAPP(_u7519, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7518), _u7520), skolem104(_u7520, _u7519, _u7518)))) )).
% 12.32/12.56 cnf(matrix-4279, plain, ( ~class_Rings_Ocomm__ring(_u7523) | ~class_Rings_Odvd(_u7523) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), _u7525)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), _u7529), _u7526))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7523), _u7529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7523), _u7527), _u7525))), _u7526))) )).
% 12.32/12.56 cnf(matrix-4280, plain, ( ~class_Rings_Ocomm__ring(_u7523) | ~class_Rings_Odvd(_u7523) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), _u7525)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), _u7530), _u7526))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7523), _u7524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7523), _u7530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7523), _u7528), _u7525))), _u7526))) )).
% 12.32/12.56 cnf(matrix-4281, plain, ( ~class_Rings_Ocomm__ring(_u7533) | ~class_Rings_Odvd(_u7533) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), _u7539), _u7536))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7533), _u7539), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7533), _u7537), _u7535))), _u7536))) )).
% 12.32/12.56 cnf(matrix-4282, plain, ( ~class_Rings_Ocomm__ring(_u7533) | ~class_Rings_Odvd(_u7533) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), _u7535)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), _u7540), _u7536))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7533), _u7534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7533), _u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7533), _u7538), _u7535))), _u7536))) )).
% 12.32/12.56 cnf(matrix-4283, plain, ( ~class_Divides_Osemiring__div(_u7541) | ~class_Int_Onumber(_u7541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7541), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543))) | ( c_Divides_Odiv__class_Omod(_u7541, hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)) = c_Groups_Ozero__class_Ozero(_u7541)) )).
% 12.32/12.56 cnf(matrix-4284, plain, ( ~class_Divides_Osemiring__div(_u7541) | ~class_Int_Onumber(_u7541) | ( c_Divides_Odiv__class_Omod(_u7541, hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)) != c_Groups_Ozero__class_Ozero(_u7541)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7541), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7542)), hAPP(c_Int_Onumber__class_Onumber__of(_u7541), _u7543))) )).
% 12.32/12.56 cnf(matrix-4285, plain, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( _u7546 = c_Groups_Ozero__class_Ozero(_u7544)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7545), _u7547)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7546), _u7548)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7547), _u7545) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7548), _u7546)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7547), _u7546) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7545), _u7548)) )).
% 12.32/12.56 cnf(matrix-4286, plain, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( _u7546 = c_Groups_Ozero__class_Ozero(_u7544)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7545), _u7547)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7544), _u7546), _u7548)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7547), _u7546) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7545), _u7548)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7547), _u7545) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), _u7548), _u7546)) )).
% 12.32/12.56 cnf(matrix-4287, plain, ( ~class_Divides_Osemiring__div(_u7549) | ( _u7550 = c_Groups_Ozero__class_Ozero(_u7549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7549), _u7550), _u7551)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7549), _u7551), _u7550) != _u7552) | ( _u7551 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7549), _u7552), _u7550)) )).
% 12.32/12.56 cnf(matrix-4288, plain, ( ~class_Divides_Osemiring__div(_u7549) | ( _u7550 = c_Groups_Ozero__class_Ozero(_u7549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7549), _u7550), _u7551)) | ( _u7551 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7549), _u7552), _u7550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7549), _u7551), _u7550) = _u7552) )).
% 12.32/12.56 cnf(matrix-4289, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7553), _u7554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7553), _u7554)) )).
% 12.32/12.56 cnf(matrix-4290, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.32/12.56 cnf(matrix-4291, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7560), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558)) != 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7560))) )).
% 12.32/12.56 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7561), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7561), _u7562)) )).
% 12.32/12.56 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7563), _u7564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7563), _u7565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7563)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7564), _u7565)) )).
% 12.32/12.56 cnf(matrix-4294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7568))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7567), _u7568)) )).
% 12.32/12.56 cnf(matrix-4295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7567), _u7568)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7568))) )).
% 12.32/12.56 cnf(matrix-4296, plain, ( ( _u7569 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7570), _u7569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7570)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7569))) )).
% 12.32/12.56 cnf(matrix-4297, plain, ( ~class_Rings_Ocomm__semiring__1(_u7571) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7571), _u7573), hAPP(hAPP(c_Power_Opower__class_Opower(_u7571), _u7573), _u7572))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7572)) )).
% 12.32/12.56 cnf(matrix-4298, plain, ( ~class_Rings_Ocomm__semiring__1(_u7571) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7571), _u7573), hAPP(hAPP(c_Power_Opower__class_Opower(_u7571), _u7573), _u7572))) | ( _u7573 != c_Groups_Oone__class_Oone(_u7571)) )).
% 12.32/12.56 cnf(matrix-4299, plain, ( ~class_Orderings_Oorder(_u7574) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7574, 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)))), _u7575) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7576), _u7577)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7577), _u7576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7574), hAPP(_u7575, _u7576)), hAPP(_u7575, _u7577))) )).
% 12.32/12.56 cnf(matrix-4300, 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), _u7578)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7579))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7580))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7580), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7579))))) )).
% 12.32/12.56 cnf(matrix-4301, plain, ( ~class_Orderings_Oorder(_u7581) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7581, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7582) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7583), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7581), hAPP(_u7582, _u7583)), hAPP(_u7582, _u7584))) )).
% 12.32/12.56 cnf(matrix-4302, plain, ( ~class_Groups_Oab__group__add(_u7585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7586), _u7587)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7585), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7585, _u7585), hAPP(hAPP(c_COMBB(_u7585, tc_fun(_u7585, _u7585), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7585)), _u7588)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7585, tc_Nat_Onat), _u7588), 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, _u7586, _u7587)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7585), hAPP(_u7588, _u7586)), hAPP(_u7588, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7587), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.56 cnf(matrix-4303, plain, ( ~class_Groups_Oab__group__add(_u7585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7586), _u7587)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7585), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7585, _u7585), hAPP(hAPP(c_COMBB(_u7585, tc_fun(_u7585, _u7585), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7585)), _u7588)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7585, tc_Nat_Onat), _u7588), 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, _u7586, _u7587)) = c_Groups_Ozero__class_Ozero(_u7585)) )).
% 12.32/12.56 cnf(matrix-4304, plain, ( ~class_Rings_Ocomm__semiring__1(_u7589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), c_Groups_Oone__class_Oone(_u7589)), c_Groups_Oone__class_Oone(_u7589))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7589), c_Nat_Osemiring__1__class_Oof__nat(_u7589)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u7590))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7589), _u7590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7589), _u7590)), c_Groups_Oone__class_Oone(_u7589)))) )).
% 12.32/12.56 cnf(matrix-4305, plain, ( ( hAPP(_u7591, 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), _u7591), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7592)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7591), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7592))) )).
% 12.32/12.56 cnf(matrix-4306, plain, ( ~class_Orderings_Oorder(_u7593) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7593, 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)))), _u7594) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7593, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7594) )).
% 12.32/12.56 cnf(matrix-4307, plain, ( ~class_Orderings_Oorder(_u7595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7598), _u7596)) )).
% 12.32/12.56 cnf(matrix-4308, plain, ( ~class_Orderings_Oorder(_u7595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7597), _u7599)) )).
% 12.32/12.56 cnf(matrix-4309, plain, ( ~class_Orderings_Oorder(_u7595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7596), _u7597)) )).
% 12.32/12.56 cnf(matrix-4310, plain, ( ~class_Orderings_Oorder(_u7595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7595, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7596, _u7597)), c_SetInterval_Oord__class_OatLeastAtMost(_u7595, _u7598, _u7599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7598), _u7596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7595), _u7597), _u7599)) )).
% 12.32/12.56 cnf(matrix-4311, plain, ( ~class_Groups_Ocomm__monoid__add(_u7600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7600), _u7601), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7602), hAPP(c_Nat_OSuc, _u7603))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7600), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7600, tc_Nat_Onat), _u7601), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7602, _u7603))) )).
% 12.32/12.56 cnf(matrix-4312, plain, ( ~class_Groups_Ocomm__monoid__add(_u7604) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7604), _u7605), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7606), _u7607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7608), _u7607))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7604), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7604, tc_Nat_Onat), _u7605), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7607))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7606, _u7608))) )).
% 12.32/12.56 cnf(matrix-4313, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7610), _u7611)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7609), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7610)), _u7611)) )).
% 12.32/12.56 cnf(matrix-4314, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7612, tc_Nat_Onat), _u7613), _u7614) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7612, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7612), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7613)), _u7614))) )).
% 12.32/12.56 cnf(matrix-4315, plain, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) )).
% 12.32/12.56 cnf(matrix-4316, plain, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) )).
% 12.32/12.56 cnf(matrix-4317, plain, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7618), _u7616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7617), _u7619)) )).
% 12.32/12.56 cnf(matrix-4318, plain, ( ~class_Orderings_Oorder(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) )).
% 12.32/12.56 cnf(matrix-4319, plain, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7616), _u7617)) )).
% 12.32/12.56 cnf(matrix-4320, plain, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7618), _u7616)) )).
% 12.32/12.56 cnf(matrix-4321, plain, ( ~class_Orderings_Oorder(_u7615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7616, _u7617)), c_SetInterval_Oord__class_OatLeastAtMost(_u7615, _u7618, _u7619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7618), _u7616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), _u7617), _u7619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7615), _u7617), _u7619)) )).
% 12.32/12.56 cnf(matrix-4322, plain, ( ~class_Groups_Ocomm__monoid__add(_u7620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7621), _u7622)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7620), _u7623), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7621, _u7622)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7620), hAPP(_u7623, _u7621)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7620), _u7623), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7621), _u7622)))) )).
% 12.32/12.56 cnf(matrix-4323, plain, ( ~class_Groups_Ocomm__monoid__add(_u7624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7625)), _u7626)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, hAPP(c_Nat_OSuc, _u7625))) = c_Groups_Ozero__class_Ozero(_u7624)) )).
% 12.32/12.56 cnf(matrix-4324, plain, ( ~class_Groups_Ocomm__monoid__add(_u7624) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7625)), _u7626)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, hAPP(c_Nat_OSuc, _u7625))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7624), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7624), _u7627), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7626, _u7625))), hAPP(_u7627, hAPP(c_Nat_OSuc, _u7625)))) )).
% 12.32/12.56 cnf(matrix-4325, plain, ( ~class_Groups_Ocomm__monoid__add(_u7628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7629), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7629, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), _u7632))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7628), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7629, _u7630))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7628), _u7631), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7630), _u7632))))) )).
% 12.32/12.56 cnf(matrix-4326, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7634), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7639))) | hBOOL(hAPP(_u7641, _u7634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem105(_u7641, _u7639)), _u7639)) )).
% 12.32/12.56 cnf(matrix-4327, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7634), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7639))) | hBOOL(hAPP(_u7641, _u7634)) | ~hBOOL(hAPP(_u7641, skolem105(_u7641, _u7639))) )).
% 12.32/12.56 cnf(matrix-4328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7636), _u7640)) | hBOOL(hAPP(_u7642, _u7636)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem106(_u7642, _u7640)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7640))) )).
% 12.32/12.56 cnf(matrix-4329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7636), _u7640)) | hBOOL(hAPP(_u7642, _u7636)) | ~hBOOL(hAPP(_u7642, skolem106(_u7642, _u7640))) )).
% 12.32/12.56 cnf(matrix-4330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7643), _u7649)) | ~hBOOL(hAPP(_u7651, _u7643)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem107(_u7651, _u7649)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7649))) )).
% 12.32/12.56 cnf(matrix-4331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7643), _u7649)) | ~hBOOL(hAPP(_u7651, _u7643)) | hBOOL(hAPP(_u7651, skolem107(_u7651, _u7649))) )).
% 12.32/12.56 cnf(matrix-4332, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7645), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7650))) | ~hBOOL(hAPP(_u7652, _u7645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem108(_u7652, _u7650)), _u7650)) )).
% 12.32/12.56 cnf(matrix-4333, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7645), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7650))) | ~hBOOL(hAPP(_u7652, _u7645)) | hBOOL(hAPP(_u7652, skolem108(_u7652, _u7650))) )).
% 12.32/12.56 cnf(matrix-4334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7654, skolem109(_u7656, _u7655, _u7654))), hAPP(_u7655, skolem109(_u7656, _u7655, _u7654)))) | ( 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), _u7655), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7654), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))) = 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)), _u7655)), _u7654)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7656))) )).
% 12.32/12.56 cnf(matrix-4335, plain, ( ~class_Fields_Ofield(_u7657) | ( _u7658 = c_Groups_Oone__class_Oone(_u7657)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7657), hAPP(c_Power_Opower__class_Opower(_u7657), _u7658)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7659)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7657), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7657), hAPP(hAPP(c_Power_Opower__class_Opower(_u7657), _u7658), _u7659)), c_Groups_Oone__class_Oone(_u7657))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7657), _u7658), c_Groups_Oone__class_Oone(_u7657)))) )).
% 12.32/12.56 cnf(matrix-4336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7660), _u7666)) | ~hBOOL(hAPP(_u7668, _u7660)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem110(_u7668, _u7666)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7666))) )).
% 12.32/12.56 cnf(matrix-4337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7660), _u7666)) | ~hBOOL(hAPP(_u7668, _u7660)) | hBOOL(hAPP(_u7668, skolem110(_u7668, _u7666))) )).
% 12.32/12.56 cnf(matrix-4338, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7662), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7667))) | ~hBOOL(hAPP(_u7669, _u7662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem111(_u7669, _u7667)), _u7667)) )).
% 12.32/12.56 cnf(matrix-4339, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7662), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7667))) | ~hBOOL(hAPP(_u7669, _u7662)) | hBOOL(hAPP(_u7669, skolem111(_u7669, _u7667))) )).
% 12.32/12.56 cnf(matrix-4340, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7671), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7676))) | hBOOL(hAPP(_u7678, _u7671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem112(_u7678, _u7676)), _u7676)) )).
% 12.32/12.56 cnf(matrix-4341, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7671), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7676))) | hBOOL(hAPP(_u7678, _u7671)) | ~hBOOL(hAPP(_u7678, skolem112(_u7678, _u7676))) )).
% 12.32/12.56 cnf(matrix-4342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7673), _u7677)) | hBOOL(hAPP(_u7679, _u7673)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem113(_u7679, _u7677)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7677))) )).
% 12.32/12.56 cnf(matrix-4343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7673), _u7677)) | hBOOL(hAPP(_u7679, _u7673)) | ~hBOOL(hAPP(_u7679, skolem113(_u7679, _u7677))) )).
% 12.32/12.56 cnf(matrix-4344, plain, ( ~class_Orderings_Olinorder(_u7680) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7680, _u7681), _u7682) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7680, _u7683), _u7684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7680), _u7681), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7680), _u7683), _u7684)) | ( _u7682 = _u7684) )).
% 12.32/12.56 cnf(matrix-4345, plain, ( ~class_Orderings_Olinorder(_u7685) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7685, _u7686), _u7687) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7685, _u7688), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7685), _u7686), _u7687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7685), _u7688), _u7689)) | ( _u7686 = _u7688) )).
% 12.32/12.56 cnf(matrix-4346, plain, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) | ( _u7691 = _u7693) )).
% 12.32/12.56 cnf(matrix-4347, plain, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) | ( _u7692 = _u7694) )).
% 12.32/12.56 cnf(matrix-4348, plain, ( ~class_Orderings_Olinorder(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7691), _u7692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7690), _u7693), _u7694)) | ( _u7691 != _u7693) | ( _u7692 != _u7694) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7691), _u7692) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7690, _u7693), _u7694)) )).
% 12.32/12.56 cnf(matrix-4349, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7695), hAPP(c_Nat_OSuc, _u7696)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, _u7696)) )).
% 12.32/12.56 cnf(matrix-4350, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7697) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7697)) )).
% 12.32/12.56 cnf(matrix-4351, plain, ( ~class_Orderings_Olinorder(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7698, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7699), _u7700)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7701), _u7702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7701), _u7699)) )).
% 12.32/12.56 cnf(matrix-4352, plain, ( ~class_Orderings_Olinorder(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7698, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7699), _u7700)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7698, _u7701), _u7702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7698), _u7700), _u7702)) )).
% 12.32/12.56 cnf(matrix-4353, plain, ( ~class_Groups_Ocomm__monoid__add(_u7703) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7703), _u7704), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7705)), hAPP(c_Nat_OSuc, _u7706))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7703), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7703, tc_Nat_Onat), _u7704), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7705), _u7706))) )).
% 12.32/12.56 cnf(matrix-4354, plain, ( ~class_Groups_Ocomm__monoid__add(_u7707) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7707), _u7708), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7709), _u7710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7711), _u7710))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7707), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7707, tc_Nat_Onat), _u7708), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7710))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7709), _u7711))) )).
% 12.32/12.56 cnf(matrix-4355, plain, ( ~class_Orderings_Olinorder(_u7712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7712), _u7713), _u7714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7712, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7713), _u7715)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7713), _u7714)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7712, _u7714), _u7715)) )).
% 12.32/12.56 cnf(matrix-4356, plain, ( ~class_Groups_Ocomm__monoid__add(_u7716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7717), _u7718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7718), _u7719)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7716), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7717), _u7718))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7718), _u7719))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7716), _u7720), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7717), _u7719))) )).
% 12.32/12.56 cnf(matrix-4357, plain, ( ~class_Groups_Oab__group__add(_u7721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7722), _u7723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7723), _u7724)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7721), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7722), _u7724))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7722), _u7723))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7721), _u7725), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7723), _u7724))) )).
% 12.32/12.56 cnf(matrix-4358, plain, ( ~class_Groups_Ocomm__monoid__add(_u7726) | ( hAPP(_u7727, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7726)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7726), _u7727), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7726), _u7727), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7728))) )).
% 12.32/12.56 cnf(matrix-4359, plain, ( ~class_Groups_Ocomm__monoid__add(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7730), _u7731)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7729), _u7732), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7730), _u7731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7729), hAPP(_u7732, _u7730)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7729), _u7732), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7730)), _u7731)))) )).
% 12.32/12.56 cnf(matrix-4360, plain, ( ~class_Groups_Ocomm__monoid__add(_u7733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7734), _u7735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), hAPP(c_Nat_OSuc, _u7734))) = c_Groups_Ozero__class_Ozero(_u7733)) )).
% 12.32/12.56 cnf(matrix-4361, plain, ( ~class_Groups_Ocomm__monoid__add(_u7733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7734), _u7735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), hAPP(c_Nat_OSuc, _u7734))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7733), _u7736), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7735), _u7734))), hAPP(_u7736, _u7734))) )).
% 12.32/12.56 cnf(matrix-4362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u7742, _u7741, _u7740, _u7739)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7740))) )).
% 12.32/12.56 cnf(matrix-4363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u7742, _u7741, _u7740, _u7739)), _u7741)) )).
% 12.32/12.56 cnf(matrix-4364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7739), _u7742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7739), _u7740)), _u7742)) | ( _u7739 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem115(_u7742, _u7741, _u7740, _u7739)), skolem114(_u7742, _u7741, _u7740, _u7739))) )).
% 12.32/12.56 cnf(matrix-4365, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u7748, _u7747, _u7746, _u7745)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7746))) )).
% 12.32/12.56 cnf(matrix-4366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem117(_u7748, _u7747, _u7746, _u7745)), _u7747)) )).
% 12.32/12.56 cnf(matrix-4367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7745), _u7746))) | ( _u7745 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7748, _u7747, _u7746, _u7745)), skolem116(_u7748, _u7747, _u7746, _u7745))) )).
% 12.32/12.56 cnf(matrix-4368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem122(_u7756, _u7755)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4374, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(_u7756, _u7751)) | hBOOL(hAPP(_u7756, skolem122(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | hBOOL(hAPP(_u7756, skolem118(_u7756, _u7755))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | ~hBOOL(hAPP(_u7756, skolem120(_u7756, _u7755))) )).
% 12.32/12.56 cnf(matrix-4379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7755)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7753), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7755))) | ~hBOOL(hAPP(_u7756, _u7753)) | hBOOL(hAPP(_u7756, skolem123(_u7756, _u7755))) | ~hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem118(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem119(_u7756, _u7755)), _u7755)))) | hBOOL(hAPP(_u7756, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u7756, _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem121(_u7756, _u7755)), _u7755)))) )).
% 12.32/12.56 cnf(matrix-4380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem124(_u7766, _u7765, _u7764, _u7763)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7764))) )).
% 12.32/12.56 cnf(matrix-4381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u7766, _u7765, _u7764, _u7763)), _u7765)) )).
% 12.32/12.56 cnf(matrix-4382, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7763), _u7764))) | ( _u7763 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem125(_u7766, _u7765, _u7764, _u7763)), skolem124(_u7766, _u7765, _u7764, _u7763))) )).
% 12.32/12.56 cnf(matrix-4383, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7767), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7768), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7767, _u7768)) )).
% 12.32/12.56 cnf(matrix-4384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem126(_u7774, _u7773, _u7772, _u7771)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7772))) )).
% 12.32/12.56 cnf(matrix-4385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u7774, _u7773, _u7772, _u7771)), _u7773)) )).
% 12.32/12.56 cnf(matrix-4386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7771), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7771), _u7772)), _u7774)) | ( _u7771 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem127(_u7774, _u7773, _u7772, _u7771)), skolem126(_u7774, _u7773, _u7772, _u7771))) )).
% 12.32/12.56 cnf(matrix-4387, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u7781, _u7780, _u7779, _u7778, _u7777)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7779))) )).
% 12.32/12.56 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u7781, _u7780, _u7779, _u7778, _u7777)), _u7780)) )).
% 12.32/12.56 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), _u7779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7781))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7777), _u7779)), _u7781))) | ( _u7777 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem129(_u7781, _u7780, _u7779, _u7778, _u7777)), skolem128(_u7781, _u7780, _u7779, _u7778, _u7777))) )).
% 12.32/12.56 cnf(matrix-4390, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u7788, _u7787, _u7786, _u7785, _u7784)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7786))) )).
% 12.32/12.56 cnf(matrix-4391, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u7788, _u7787, _u7786, _u7785, _u7784)), _u7787)) )).
% 12.32/12.56 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), _u7786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7788))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7784), _u7786)), _u7788))) | ( _u7784 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem131(_u7788, _u7787, _u7786, _u7785, _u7784)), skolem130(_u7788, _u7787, _u7786, _u7785, _u7784))) )).
% 12.32/12.56 cnf(matrix-4393, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u7795, _u7794, _u7793, _u7792, _u7791)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7793))) )).
% 12.32/12.56 cnf(matrix-4394, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u7795, _u7794, _u7793, _u7792, _u7791)), _u7794)) )).
% 12.32/12.56 cnf(matrix-4395, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), _u7793)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7795))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7791), _u7793)), _u7795))) | ( _u7791 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem133(_u7795, _u7794, _u7793, _u7792, _u7791)), skolem132(_u7795, _u7794, _u7793, _u7792, _u7791))) )).
% 12.32/12.56 cnf(matrix-4396, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u7802, _u7801, _u7800, _u7799, _u7798)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7800))) )).
% 12.32/12.56 cnf(matrix-4397, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem135(_u7802, _u7801, _u7800, _u7799, _u7798)), _u7801)) )).
% 12.32/12.56 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), _u7800)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7798), _u7802))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7798), _u7800)), _u7802))) | ( _u7798 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem135(_u7802, _u7801, _u7800, _u7799, _u7798)), skolem134(_u7802, _u7801, _u7800, _u7799, _u7798))) )).
% 12.32/12.56 cnf(matrix-4399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803) = 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, _u7803)))) )).
% 12.32/12.56 cnf(matrix-4400, plain, ( ~class_Groups_Ocomm__monoid__add(_u7804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7805), _u7806)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7804), _u7807), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7805, _u7806)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7804), hAPP(_u7807, _u7805)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7804), _u7807), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7805, _u7806)))) )).
% 12.32/12.56 cnf(matrix-4401, plain, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem136(_u7811, _u7810)), skolem137(_u7811, _u7810))) )).
% 12.32/12.56 cnf(matrix-4402, plain, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem137(_u7811, _u7810)), skolem136(_u7811, _u7810))) )).
% 12.32/12.56 cnf(matrix-4403, plain, ( ~class_Orderings_Oorder(_u7810) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7810, 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)))), _u7811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7810), hAPP(_u7811, skolem136(_u7811, _u7810))), hAPP(_u7811, skolem137(_u7811, _u7810)))) )).
% 12.32/12.56 cnf(matrix-4404, plain, ( ~class_Groups_Oordered__ab__group__add(_u7812) | ( hAPP(c_Set_Oimage(_u7812, _u7812, c_Groups_Ouminus__class_Ouminus(_u7812)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7812, _u7813), _u7814)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7812, hAPP(c_Groups_Ouminus__class_Ouminus(_u7812), _u7814), hAPP(c_Groups_Ouminus__class_Ouminus(_u7812), _u7813))) )).
% 12.32/12.56 cnf(matrix-4405, plain, ( ~class_Groups_Oordered__ab__group__add(_u7815) | ( hAPP(c_Set_Oimage(_u7815, _u7815, c_Groups_Ouminus__class_Ouminus(_u7815)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7815, _u7816, _u7817)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7815, hAPP(c_Groups_Ouminus__class_Ouminus(_u7815), _u7817)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7815), _u7816))) )).
% 12.32/12.56 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7825, tc_HOL_Obool)), _u7827), hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), _u7833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7829, tc_HOL_Obool)), skolem138(_u7833, _u7831, _u7829, _u7827, _u7825)), _u7833)) )).
% 12.32/12.56 cnf(matrix-4407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7825, tc_HOL_Obool)), _u7827), hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), _u7833))) | ( _u7827 = hAPP(c_Set_Oimage(_u7829, _u7825, _u7831), skolem138(_u7833, _u7831, _u7829, _u7827, _u7825))) )).
% 12.32/12.56 cnf(matrix-4408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7830, tc_HOL_Obool)), _u7819), _u7834)) | ( _u7828 != hAPP(c_Set_Oimage(_u7830, _u7826, _u7832), _u7819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7826, tc_HOL_Obool)), _u7828), hAPP(c_Set_Oimage(_u7830, _u7826, _u7832), _u7834))) )).
% 12.32/12.56 cnf(matrix-4409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7835, tc_HOL_Obool)), _u7836), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7838, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7835, _u7838, _u7839), _u7836)), hAPP(c_Set_Oimage(_u7835, _u7838, _u7839), _u7837))) )).
% 12.32/12.56 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7842), _u7844)) | 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)), _u7842)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7844))) )).
% 12.32/12.56 cnf(matrix-4411, 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)), _u7843)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7843), _u7845)) )).
% 12.32/12.56 cnf(matrix-4412, plain, ( ( hAPP(c_Set_Oimage(_u7846, _u7847, _u7848), hAPP(c_Set_Oimage(_u7849, _u7846, _u7850), _u7851)) = hAPP(c_Set_Oimage(_u7849, _u7847, hAPP(hAPP(c_COMBB(_u7846, _u7847, _u7849), _u7848), _u7850)), _u7851)) )).
% 12.32/12.56 cnf(matrix-4413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7854), _u7856)) | 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)), _u7854)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7856))) )).
% 12.32/12.56 cnf(matrix-4414, 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)), _u7855)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7855), _u7857)) )).
% 12.32/12.56 cnf(matrix-4415, plain, ( ( _u7860 != _u7862) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7860) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7862)) )).
% 12.32/12.56 cnf(matrix-4416, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7861) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7863)) | ( _u7861 = _u7863) )).
% 12.32/12.56 cnf(matrix-4417, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7864, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7864, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), _u7867)), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), _u7868))), hAPP(c_Set_Oimage(_u7865, _u7864, _u7866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7865, tc_HOL_Obool)), _u7867), _u7868)))) )).
% 12.32/12.56 cnf(matrix-4418, plain, ( ~class_Groups_Oordered__ab__group__add(_u7869) | ( hAPP(c_Set_Oimage(_u7869, _u7869, c_Groups_Ouminus__class_Ouminus(_u7869)), c_SetInterval_Oord__class_OatLeastAtMost(_u7869, _u7870, _u7871)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7869, hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7871), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870))) )).
% 12.32/12.56 cnf(matrix-4419, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7872), _u7873) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7872, _u7873)) )).
% 12.32/12.56 cnf(matrix-4420, plain, ( ~class_Groups_Ocomm__monoid__add(_u7874) | ~class_Groups_Ocomm__monoid__mult(_u7874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7874), _u7875), _u7876) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7874), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7874, tc_Int_Oint), _u7875), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7876))) )).
% 12.32/12.56 cnf(matrix-4421, plain, ( ~c_Nat__Transfer_Ois__nat(_u7877) | ~c_Nat__Transfer_Ois__nat(_u7878) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7877, _u7878) = 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, _u7877), hAPP(c_Int_Onat, _u7878)))) )).
% 12.32/12.56 cnf(matrix-4422, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7880, tc_Nat_Onat), _u7881), _u7882) != hAPP(c_Nat_OSuc, _u7883)) | hBOOL(hAPP(hAPP(c_member(_u7880), skolem139(_u7883, _u7882, _u7881, _u7880)), _u7882)) )).
% 12.32/12.56 cnf(matrix-4423, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7880, tc_Nat_Onat), _u7881), _u7882) != hAPP(c_Nat_OSuc, _u7883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7881, skolem139(_u7883, _u7882, _u7881, _u7880)))) )).
% 12.32/12.56 cnf(matrix-4424, plain, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7886), _u7888), skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885))) )).
% 12.32/12.56 cnf(matrix-4425, plain, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7886), skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885)), _u7890)) )).
% 12.32/12.56 cnf(matrix-4426, plain, ( ~class_Groups_Ocomm__monoid__add(_u7885) | ~class_Orderings_Oord(_u7886) | ( _u7887 != _u7888) | ( _u7889 != _u7890) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7891), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7887), _u7889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7886, _u7885), _u7892), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7886, _u7888), _u7890))) | ( hAPP(_u7891, skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885)) != hAPP(_u7892, skolem140(_u7892, _u7891, _u7890, _u7889, _u7888, _u7887, _u7886, _u7885))) )).
% 12.32/12.56 cnf(matrix-4427, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7893, _u7894)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7894), _u7893)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.56 cnf(matrix-4428, plain, ( ~class_Groups_Oordered__ab__group__add(_u7895) | ( hAPP(c_Set_Oimage(_u7895, _u7895, c_Groups_Ouminus__class_Ouminus(_u7895)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7895), _u7896)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7895), hAPP(c_Groups_Ouminus__class_Ouminus(_u7895), _u7896))) )).
% 12.32/12.56 cnf(matrix-4429, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7897, _u7898)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7898), _u7897))) )).
% 12.32/12.56 cnf(matrix-4430, plain, ( ~class_Orderings_Olinorder(_u7899) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7900) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7901)) | ( _u7900 = _u7901) )).
% 12.32/12.56 cnf(matrix-4431, plain, ( ~class_Orderings_Olinorder(_u7899) | ( _u7900 != _u7901) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7900) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7899), _u7901)) )).
% 12.32/12.56 cnf(matrix-4432, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7902), _u7903)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7902)), hAPP(c_Nat_OSuc, _u7903))) )).
% 12.32/12.56 cnf(matrix-4433, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7904, _u7905)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7904), hAPP(c_Nat_OSuc, _u7905))) )).
% 12.32/12.56 cnf(matrix-4434, 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)), _u7906)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7907), _u7908)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7907), _u7906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7908), _u7906))) )).
% 12.32/12.56 cnf(matrix-4435, 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)), _u7909)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7910, _u7911)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7910), _u7909), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7911), _u7909))) )).
% 12.32/12.56 cnf(matrix-4436, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7912), _u7913) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7912), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7913)) )).
% 12.32/12.56 cnf(matrix-4437, 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)), _u7914)) = _u7914) )).
% 12.32/12.56 cnf(matrix-4438, plain, ( ~class_Orderings_Olinorder(_u7915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7916)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7915), _u7917), _u7916)) )).
% 12.32/12.56 cnf(matrix-4439, plain, ( ~class_Orderings_Olinorder(_u7915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7915), _u7917), _u7916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7916)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7915), _u7917))) )).
% 12.32/12.56 cnf(matrix-4440, plain, ( ~class_Rings_Osemiring__1(_u7918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7919, _u7918), hAPP(c_COMBK(_u7918, _u7919), _u7920)), _u7921) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7918), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7918), hAPP(c_Finite__Set_Ocard(_u7919), _u7921))), _u7920)) )).
% 12.32/12.56 cnf(matrix-4441, 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)), _u7922)) = hAPP(c_Int_Onat, _u7922)) )).
% 12.32/12.56 cnf(matrix-4442, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7923), _u7924)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7924), _u7923))) )).
% 12.32/12.56 cnf(matrix-4443, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7925, _u7926) = 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), _u7925), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7926)))) )).
% 12.32/12.56 cnf(matrix-4444, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7927), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7928) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7927, _u7928)) )).
% 12.32/12.56 cnf(matrix-4445, 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)), _u7929)), 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), _u7930), _u7929))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7929), _u7930)) )).
% 12.32/12.56 cnf(matrix-4446, plain, ( ~class_Groups_Oordered__ab__group__add(_u7931) | ( hAPP(c_Set_Oimage(_u7931, _u7931, c_Groups_Ouminus__class_Ouminus(_u7931)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7931), _u7932)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7931), hAPP(c_Groups_Ouminus__class_Ouminus(_u7931), _u7932))) )).
% 12.32/12.56 cnf(matrix-4447, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7933, _u7934)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7934), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7933), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.56 cnf(matrix-4448, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u7935, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7935), tc_HOL_Obool)), _u7936), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), c_Com_Ocom_OBODY)), _u7938)), _u7939)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), 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))), _u7938)), _u7939)) | c_Hoare__Mirabelle_Ohoare__valids(_u7935, _u7936, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7935), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), hAPP(hAPP(c_COMBB(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7935, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7935))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7935)), _u7937)), c_Com_Ocom_OBODY)), _u7938)), _u7939)) )).
% 12.32/12.56 cnf(matrix-4449, plain, ( ~class_Groups_Ocomm__monoid__add(_u7940) | ~class_Groups_Ocomm__monoid__mult(_u7940) | ~c_Nat__Transfer_Onat__set(_u7941) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7940), _u7942), _u7941) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7940), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7940, tc_Nat_Onat), _u7942), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7941))) )).
% 12.32/12.56 cnf(matrix-4450, plain, ( ~c_Nat__Transfer_Onat__set(_u7943) | ~c_Nat__Transfer_Onat__set(_u7944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7943), _u7944)) | 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), _u7943)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7944))) )).
% 12.32/12.56 cnf(matrix-4451, plain, ( ~c_Nat__Transfer_Onat__set(_u7943) | ~c_Nat__Transfer_Onat__set(_u7944) | ~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), _u7943)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7943), _u7944)) )).
% 12.32/12.56 cnf(matrix-4452, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7948, tc_HOL_Obool)), _u7947), _u7945), _u7946)) | ~hBOOL(hAPP(_u7945, _u7946)) )).
% 12.32/12.56 cnf(matrix-4453, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7948, tc_HOL_Obool)), _u7947), _u7945), _u7946)) | ~hBOOL(hAPP(_u7947, _u7946)) )).
% 12.32/12.56 cnf(matrix-4454, plain, ( hBOOL(hAPP(_u7950, _u7952)) | hBOOL(hAPP(_u7951, _u7952)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7949, tc_HOL_Obool)), _u7950), _u7951), _u7952)) )).
% 12.32/12.56 cnf(matrix-4455, plain, ( ~c_Nat__Transfer_Onat__set(_u7953) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7953) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7953))) )).
% 12.32/12.56 cnf(matrix-4456, plain, ( ( hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7954, tc_HOL_Obool)), _u7957), _u7958)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7955, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), _u7957)), hAPP(c_Set_Oimage(_u7954, _u7955, _u7956), _u7958))) )).
% 12.32/12.56 cnf(matrix-4457, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7959)) = _u7959) )).
% 12.32/12.56 cnf(matrix-4458, plain, ( ~class_Lattices_Osemilattice__sup(_u7960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7960), _u7961), _u7962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7960), _u7961), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7960), _u7962), _u7963))) )).
% 12.32/12.56 cnf(matrix-4459, plain, ( ~class_Lattices_Osemilattice__sup(_u7964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7964), _u7965), _u7966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7964), _u7965), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7964), _u7967), _u7966))) )).
% 12.32/12.56 cnf(matrix-4460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), _u7969), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), _u7971), _u7972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7968, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7968, tc_HOL_Obool)), _u7969), _u7971)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7968, tc_HOL_Obool)), _u7970), _u7972))) )).
% 12.32/12.56 cnf(matrix-4461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), _u7974), _u7975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), _u7976), _u7975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7973, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7973, tc_HOL_Obool)), _u7974), _u7976)), _u7975)) )).
% 12.32/12.56 cnf(matrix-4462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7977, tc_HOL_Obool)), _u7978), _u7979)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7977, tc_HOL_Obool)), _u7979), _u7978) = _u7979) )).
% 12.32/12.56 cnf(matrix-4463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7980, tc_HOL_Obool)), _u7981), _u7982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7980, tc_HOL_Obool)), _u7981), _u7982) = _u7982) )).
% 12.32/12.56 cnf(matrix-4464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7990)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7990) = _u7990) )).
% 12.32/12.56 cnf(matrix-4465, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7987, tc_HOL_Obool)), _u7989), _u7991) != _u7991) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7987, tc_HOL_Obool)), _u7989), _u7991)) )).
% 12.32/12.56 cnf(matrix-4466, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7992, tc_HOL_Obool)), _u7993), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7993))) )).
% 12.32/12.56 cnf(matrix-4467, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7995, tc_HOL_Obool)), _u7996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7995, tc_HOL_Obool)), _u7996), _u7997))) )).
% 12.32/12.56 cnf(matrix-4468, plain, ( ~class_Lattices_Olattice(_u7998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7998), _u7999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7998), _u7999), _u8000))) )).
% 12.32/12.56 cnf(matrix-4469, plain, ( ~class_Lattices_Osemilattice__sup(_u8001) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), _u8002), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8001), _u8002), _u8003))) )).
% 12.32/12.56 cnf(matrix-4470, plain, ( ~class_Lattices_Olattice(_u8004) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8004), _u8005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8004), _u8006), _u8005))) )).
% 12.32/12.56 cnf(matrix-4471, plain, ( ~class_Lattices_Osemilattice__sup(_u8007) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), _u8008), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8007), _u8009), _u8008))) )).
% 12.32/12.56 cnf(matrix-4472, plain, ( ~class_Lattices_Osemilattice__sup(_u8010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), _u8011), _u8012)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8010), _u8011), _u8012) = _u8012) )).
% 12.32/12.56 cnf(matrix-4473, plain, ( ~class_Lattices_Osemilattice__sup(_u8010) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8010), _u8011), _u8012) != _u8012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), _u8011), _u8012)) )).
% 12.32/12.56 cnf(matrix-4474, plain, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8014), _u8016)) )).
% 12.32/12.56 cnf(matrix-4475, plain, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8015), _u8016)) )).
% 12.32/12.56 cnf(matrix-4476, plain, ( ~class_Lattices_Osemilattice__sup(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8014), _u8016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), _u8015), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8013), _u8014), _u8015)), _u8016)) )).
% 12.32/12.56 cnf(matrix-4477, plain, ( ~class_Lattices_Osemilattice__sup(_u8017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8017), _u8018), _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8017), _u8018), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8017), _u8019), _u8020))) )).
% 12.32/12.56 cnf(matrix-4478, plain, ( ~class_Lattices_Osemilattice__sup(_u8021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8021), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8021), _u8022), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8021), _u8024), _u8023))) )).
% 12.32/12.56 cnf(matrix-4479, plain, ( ~class_Lattices_Osemilattice__sup(_u8025) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8025), _u8026), _u8027)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8025), _u8026), _u8027) = _u8027) )).
% 12.32/12.56 cnf(matrix-4480, plain, ( ~class_Lattices_Osemilattice__sup(_u8028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8028), _u8029), _u8030)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8028), _u8030), _u8029) = _u8030) )).
% 12.32/12.56 cnf(matrix-4481, plain, ( ~class_Lattices_Osemilattice__sup(_u8031) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), _u8032), _u8033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), _u8034), _u8033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8031), _u8032), _u8034)), _u8033)) )).
% 12.32/12.56 cnf(matrix-4482, plain, ( ~class_Lattices_Osemilattice__sup(_u8035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), _u8036), _u8037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), _u8038), _u8037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8035), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8035), _u8036), _u8038)), _u8037)) )).
% 12.32/12.56 cnf(matrix-4483, plain, ( ~class_Lattices_Osemilattice__sup(_u8039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), _u8040), _u8041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), _u8042), _u8043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8039), _u8040), _u8042)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8039), _u8041), _u8043))) )).
% 12.32/12.56 cnf(matrix-4484, plain, ( ~class_Lattices_Osemilattice__sup(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8044), _u8045), _u8046)), _u8047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8045), _u8047)) )).
% 12.32/12.56 cnf(matrix-4485, plain, ( ~class_Lattices_Osemilattice__sup(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8044), _u8045), _u8046)), _u8047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8046), _u8047)) )).
% 12.32/12.56 cnf(matrix-4486, plain, ( ~class_Lattices_Osemilattice__sup(_u8048) | ~class_Orderings_Olinorder(_u8048) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8048) = c_Orderings_Oord__class_Omax(_u8048)) )).
% 12.32/12.56 cnf(matrix-4487, plain, ( ~class_Lattices_Olattice(_u8049) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8049), _u8050), _u8050) = _u8050) )).
% 12.32/12.56 cnf(matrix-4488, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8051, tc_HOL_Obool)), _u8052), _u8053)), _u8054) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8051, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), _u8052), _u8054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8051, tc_HOL_Obool)), _u8053), _u8054))) )).
% 12.32/12.56 cnf(matrix-4489, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8055, tc_HOL_Obool)), _u8056), _u8057)), _u8057) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8056), _u8057)) )).
% 12.32/12.56 cnf(matrix-4490, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8058, tc_HOL_Obool)), _u8059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8058, tc_HOL_Obool)), _u8060), _u8059)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8058, tc_HOL_Obool)), _u8059), _u8060)) )).
% 12.32/12.56 cnf(matrix-4491, plain, ( ~class_Lattices_Olattice(_u8061) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8062, _u8061)), _u8063), _u8064), _u8065) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8061), hAPP(_u8063, _u8065)), hAPP(_u8064, _u8065))) )).
% 12.32/12.56 cnf(matrix-4492, plain, ( ~class_Lattices_Olattice(_u8066) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8067, _u8066)), _u8068), _u8069), _u8070) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8066), hAPP(_u8068, _u8070)), hAPP(_u8069, _u8070))) )).
% 12.32/12.56 cnf(matrix-4493, plain, ( ~class_Lattices_Osemilattice__sup(_u8071) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8072), _u8073)), _u8074) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8072), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8071), _u8073), _u8074))) )).
% 12.32/12.56 cnf(matrix-4494, plain, ( ~class_Lattices_Olattice(_u8075) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8076), _u8077)), _u8078) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8076), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8075), _u8077), _u8078))) )).
% 12.32/12.56 cnf(matrix-4495, plain, ( ~class_Lattices_Osemilattice__sup(_u8079) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8080), _u8081)), _u8082) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8080), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8079), _u8081), _u8082))) )).
% 12.32/12.56 cnf(matrix-4496, plain, ( ~class_Lattices_Osemilattice__sup(_u8083) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8084), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8085), _u8086)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8083), _u8084), _u8086))) )).
% 12.32/12.56 cnf(matrix-4497, plain, ( ~class_Lattices_Olattice(_u8087) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8088), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8089), _u8090)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8089), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8087), _u8088), _u8090))) )).
% 12.32/12.56 cnf(matrix-4498, plain, ( ~class_Lattices_Osemilattice__sup(_u8091) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8093), _u8094)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8093), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8091), _u8092), _u8094))) )).
% 12.32/12.56 cnf(matrix-4499, plain, ( ~class_Lattices_Osemilattice__sup(_u8095) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), _u8097)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8095), _u8096), _u8097)) )).
% 12.32/12.56 cnf(matrix-4500, plain, ( ~class_Lattices_Olattice(_u8098) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), _u8100)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8098), _u8099), _u8100)) )).
% 12.32/12.56 cnf(matrix-4501, plain, ( ~class_Lattices_Osemilattice__sup(_u8101) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), _u8103)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8101), _u8102), _u8103)) )).
% 12.32/12.56 cnf(matrix-4502, plain, ( ~class_Lattices_Osemilattice__sup(_u8104) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8104), _u8105), _u8106) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8104), _u8106), _u8105)) )).
% 12.32/12.56 cnf(matrix-4503, plain, ( ~class_Lattices_Olattice(_u8107) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8107), _u8108), _u8109) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8107), _u8109), _u8108)) )).
% 12.32/12.56 cnf(matrix-4504, plain, ( ~class_Lattices_Osemilattice__sup(_u8110) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8110), _u8111), _u8112) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8110), _u8112), _u8111)) )).
% 12.32/12.56 cnf(matrix-4505, plain, ( ~class_Lattices_Osemilattice__sup(_u8113) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8113), _u8114), _u8114) = _u8114) )).
% 12.32/12.56 cnf(matrix-4506, plain, ( ~class_Lattices_Osemilattice__sup(_u8115) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8115), _u8116), _u8116) = _u8116) )).
% 12.32/12.56 cnf(matrix-4507, plain, ( hBOOL(hAPP(hAPP(c_member(_u8127), skolem141(_u8133, _u8131, _u8129, _u8127)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8127, tc_HOL_Obool)), _u8129), _u8131))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8118), _u8129)) | hBOOL(hAPP(_u8133, _u8118)) )).
% 12.32/12.56 cnf(matrix-4508, plain, ( hBOOL(hAPP(hAPP(c_member(_u8127), skolem141(_u8133, _u8131, _u8129, _u8127)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8127, tc_HOL_Obool)), _u8129), _u8131))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8119), _u8131)) | hBOOL(hAPP(_u8133, _u8119)) )).
% 12.32/12.56 cnf(matrix-4509, plain, ( ~hBOOL(hAPP(_u8133, skolem141(_u8133, _u8131, _u8129, _u8127))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8118), _u8129)) | hBOOL(hAPP(_u8133, _u8118)) )).
% 12.32/12.56 cnf(matrix-4510, plain, ( ~hBOOL(hAPP(_u8133, skolem141(_u8133, _u8131, _u8129, _u8127))) | ~hBOOL(hAPP(hAPP(c_member(_u8127), _u8119), _u8131)) | hBOOL(hAPP(_u8133, _u8119)) )).
% 12.32/12.56 cnf(matrix-4511, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem142(_u8134, _u8132, _u8130, _u8128)), _u8130)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem143(_u8134, _u8132, _u8130, _u8128)), _u8132)) )).
% 12.32/12.56 cnf(matrix-4512, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem142(_u8134, _u8132, _u8130, _u8128)), _u8130)) | ~hBOOL(hAPP(_u8134, skolem143(_u8134, _u8132, _u8130, _u8128))) )).
% 12.32/12.56 cnf(matrix-4513, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | ~hBOOL(hAPP(_u8134, skolem142(_u8134, _u8132, _u8130, _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8128), skolem143(_u8134, _u8132, _u8130, _u8128)), _u8132)) )).
% 12.32/12.56 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8128), _u8122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8132))) | hBOOL(hAPP(_u8134, _u8122)) | ~hBOOL(hAPP(_u8134, skolem142(_u8134, _u8132, _u8130, _u8128))) | ~hBOOL(hAPP(_u8134, skolem143(_u8134, _u8132, _u8130, _u8128))) )).
% 12.32/12.56 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem144(_u8151, _u8149, _u8147, _u8145)), _u8147)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem145(_u8151, _u8149, _u8147, _u8145)), _u8149)) )).
% 12.32/12.56 cnf(matrix-4516, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem144(_u8151, _u8149, _u8147, _u8145)), _u8147)) | hBOOL(hAPP(_u8151, skolem145(_u8151, _u8149, _u8147, _u8145))) )).
% 12.32/12.56 cnf(matrix-4517, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(_u8151, skolem144(_u8151, _u8149, _u8147, _u8145))) | hBOOL(hAPP(hAPP(c_member(_u8145), skolem145(_u8151, _u8149, _u8147, _u8145)), _u8149)) )).
% 12.32/12.56 cnf(matrix-4518, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8145, tc_HOL_Obool)), _u8147), _u8149))) | ~hBOOL(hAPP(_u8151, _u8135)) | hBOOL(hAPP(_u8151, skolem144(_u8151, _u8149, _u8147, _u8145))) | hBOOL(hAPP(_u8151, skolem145(_u8151, _u8149, _u8147, _u8145))) )).
% 12.32/12.56 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8138), _u8148)) | ~hBOOL(hAPP(_u8152, _u8138)) | hBOOL(hAPP(hAPP(c_member(_u8146), skolem146(_u8152, _u8150, _u8148, _u8146)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8150))) )).
% 12.32/12.56 cnf(matrix-4520, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8138), _u8148)) | ~hBOOL(hAPP(_u8152, _u8138)) | hBOOL(hAPP(_u8152, skolem146(_u8152, _u8150, _u8148, _u8146))) )).
% 12.32/12.56 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8139), _u8150)) | ~hBOOL(hAPP(_u8152, _u8139)) | hBOOL(hAPP(hAPP(c_member(_u8146), skolem146(_u8152, _u8150, _u8148, _u8146)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8150))) )).
% 12.32/12.56 cnf(matrix-4522, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8146), _u8139), _u8150)) | ~hBOOL(hAPP(_u8152, _u8139)) | hBOOL(hAPP(_u8152, skolem146(_u8152, _u8150, _u8148, _u8146))) )).
% 12.32/12.56 cnf(matrix-4523, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8154), _u8155)), _u8156) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), _u8155), _u8156))) )).
% 12.32/12.56 cnf(matrix-4524, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8158), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8159), _u8160)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8157, tc_HOL_Obool)), _u8158), _u8160))) )).
% 12.32/12.56 cnf(matrix-4525, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), _u8163)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8161, tc_HOL_Obool)), _u8162), _u8163)) )).
% 12.32/12.56 cnf(matrix-4526, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8164, tc_HOL_Obool)), _u8165), _u8166) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8164, tc_HOL_Obool)), _u8166), _u8165)) )).
% 12.32/12.56 cnf(matrix-4527, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8167, tc_HOL_Obool)), _u8168), _u8168) = _u8168) )).
% 12.32/12.56 cnf(matrix-4528, plain, ( ~hBOOL(hAPP(_u8169, _u8170)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8171, tc_HOL_Obool)), _u8172), _u8169), _u8170)) )).
% 12.32/12.56 cnf(matrix-4529, plain, ( ~hBOOL(hAPP(_u8173, _u8174)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8175, tc_HOL_Obool)), _u8173), _u8176), _u8174)) )).
% 12.32/12.56 cnf(matrix-4530, plain, ( ~c_Nat__Transfer_Onat__set(_u8177) | ~c_Nat__Transfer_Onat__set(_u8178) | ( _u8177 != _u8178) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8177) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8178)) )).
% 12.32/12.56 cnf(matrix-4531, plain, ( ~c_Nat__Transfer_Onat__set(_u8177) | ~c_Nat__Transfer_Onat__set(_u8178) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8177) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8178)) | ( _u8177 = _u8178) )).
% 12.32/12.56 cnf(matrix-4532, plain, ( ~class_Orderings_Olinorder(_u8179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8179), _u8180), _u8181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8179), _u8181), _u8182)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8179, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8179, _u8180, _u8181)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8179, _u8181), _u8182)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8179, _u8180, _u8182)) )).
% 12.32/12.56 cnf(matrix-4533, plain, ( ~class_Orderings_Olinorder(_u8183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8183), _u8184), _u8185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8183), _u8185), _u8186)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8183, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8183, _u8184, _u8185)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8185, _u8186)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8184, _u8186)) )).
% 12.32/12.56 cnf(matrix-4534, plain, ( ~class_Orderings_Olinorder(_u8187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8187), _u8188), _u8189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8187), _u8189), _u8190)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8187, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8188), _u8189)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8189), _u8190)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8187, _u8188), _u8190)) )).
% 12.32/12.56 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8195, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8195, tc_HOL_Obool)), _u8197), _u8199)), _u8201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8195, tc_HOL_Obool)), _u8197), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8195, tc_HOL_Obool)), _u8199), _u8201))) )).
% 12.32/12.56 cnf(matrix-4536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8196, tc_HOL_Obool)), _u8198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8196, tc_HOL_Obool)), _u8200), _u8202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8196, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8196, tc_HOL_Obool)), _u8198), _u8200)), _u8202)) )).
% 12.32/12.56 cnf(matrix-4537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8203, tc_HOL_Obool)), _u8204), _u8205)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8203, tc_HOL_Obool)), _u8204), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8203, tc_HOL_Obool)), _u8205), _u8204)) = _u8205) )).
% 12.32/12.56 cnf(matrix-4538, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8206), _u8207)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8207), _u8206)) )).
% 12.32/12.56 cnf(matrix-4539, plain, ( ~class_Orderings_Olinorder(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8208), _u8209), _u8210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8208), _u8210), _u8211)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8208, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8209, _u8210)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8210, _u8211)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8208, _u8209, _u8211)) )).
% 12.32/12.56 cnf(matrix-4540, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8212, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8212, tc_HOL_Obool)), _u8213), _u8214)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8212, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8212, tc_HOL_Obool)), _u8213)), _u8214)) )).
% 12.32/12.56 cnf(matrix-4541, plain, ( ~class_Orderings_Olinorder(_u8215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8215), _u8216), _u8217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8215), _u8217), _u8218)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8215, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8215, _u8216, _u8217)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8215, _u8217, _u8218)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8215, _u8216), _u8218)) )).
% 12.32/12.56 cnf(matrix-4542, plain, ( ~class_Orderings_Olinorder(_u8219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8219), _u8220), _u8221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8219), _u8221), _u8222)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8219, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8219, _u8220, _u8221)), c_SetInterval_Oord__class_OatLeastAtMost(_u8219, _u8221, _u8222)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8219, _u8220, _u8222)) )).
% 12.32/12.56 cnf(matrix-4543, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8223, _u8224)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8224), _u8223)) )).
% 12.32/12.56 cnf(matrix-4544, plain, ( ~c_Nat__Transfer_Onat__set(_u8228) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8225), _u8228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8225)) )).
% 12.32/12.56 cnf(matrix-4545, plain, ( c_Nat__Transfer_Onat__set(_u8229) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u8229)), _u8229)) )).
% 12.32/12.56 cnf(matrix-4546, plain, ( c_Nat__Transfer_Onat__set(_u8229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem147(_u8229))) )).
% 12.32/12.56 cnf(matrix-4547, plain, ( ~class_Groups_Oordered__ab__group__add(_u8230) | ( hAPP(c_Set_Oimage(_u8230, _u8230, c_Groups_Ouminus__class_Ouminus(_u8230)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8230, _u8231, _u8232)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8230, hAPP(c_Groups_Ouminus__class_Ouminus(_u8230), _u8232), hAPP(c_Groups_Ouminus__class_Ouminus(_u8230), _u8231))) )).
% 12.32/12.56 cnf(matrix-4548, 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)), _u8233)) )).
% 12.32/12.56 cnf(matrix-4549, plain, ( ~c_Nat__Transfer_Ois__nat(_u8234) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8234, _u8235)) )).
% 12.32/12.56 cnf(matrix-4550, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8236, _u8237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8237)), _u8236)) )).
% 12.32/12.56 cnf(matrix-4551, plain, ( ~class_Orderings_Olinorder(_u8238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8238), _u8239), _u8240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8238), _u8240), _u8241)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8238, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8238, _u8239), _u8240)), c_SetInterval_Oord__class_OatLeastAtMost(_u8238, _u8240, _u8241)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8238, _u8239, _u8241)) )).
% 12.32/12.56 cnf(matrix-4552, plain, ( ~class_Orderings_Olinorder(_u8242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8242), _u8243), _u8244)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8242, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8242), _u8243)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8242, _u8243), _u8244)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8242), _u8244)) )).
% 12.32/12.56 cnf(matrix-4553, plain, ( ~class_Orderings_Olinorder(_u8245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8245), _u8246), _u8247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8245), _u8247), _u8248)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8245, _u8246, _u8247)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8245, _u8247, _u8248)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8245, _u8246, _u8248)) )).
% 12.32/12.56 cnf(matrix-4554, plain, ( ~class_Orderings_Olinorder(_u8249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8250), _u8251)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8249, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8249, _u8250, _u8251)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8249), _u8251)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8249), _u8250)) )).
% 12.32/12.56 cnf(matrix-4555, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8252) = 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)), _u8252))) )).
% 12.32/12.56 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8253), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8254), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8253))))) | ( _u8253 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8254), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8253)))) )).
% 12.32/12.56 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8255)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8255, _u8256)) )).
% 12.32/12.56 cnf(matrix-4558, plain, ( ~c_Nat__Transfer_Onat__set(_u8257) | ( 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), _u8257)) = _u8257) )).
% 12.32/12.56 cnf(matrix-4559, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8258), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8259) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8258, _u8259)) )).
% 12.32/12.56 cnf(matrix-4560, plain, ( ~c_Nat__Transfer_Onat__set(_u8260) | ~c_Nat__Transfer_Onat__set(_u8261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8260), _u8261)) | 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), _u8260)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8261))) )).
% 12.32/12.56 cnf(matrix-4561, plain, ( ~c_Nat__Transfer_Onat__set(_u8260) | ~c_Nat__Transfer_Onat__set(_u8261) | ~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), _u8260)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8260), _u8261)) )).
% 12.32/12.56 cnf(matrix-4562, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8262, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8262), tc_HOL_Obool)), _u8263), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), c_Com_Ocom_OBODY)), _u8265)), _u8266)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), 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))), _u8265)), _u8266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8262, _u8263, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8262), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), hAPP(hAPP(c_COMBB(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8262, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8262))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8262)), _u8264)), c_Com_Ocom_OBODY)), _u8265)), _u8266)) )).
% 12.32/12.56 cnf(matrix-4563, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8267) = 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), _u8267)))) )).
% 12.32/12.56 cnf(matrix-4564, plain, ( ~class_Orderings_Olinorder(_u8268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8268), _u8269), _u8270)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8268, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8268, _u8269, _u8270)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8268), _u8270)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8268), _u8269)) )).
% 12.32/12.56 cnf(matrix-4565, plain, ( ~class_Orderings_Olinorder(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8271), _u8272), _u8273)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8271, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8271), _u8272)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8271, _u8272, _u8273)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8271), _u8273)) )).
% 12.32/12.56 cnf(matrix-4566, plain, ( ~c_Nat__Transfer_Onat__set(_u8274) | ~c_Nat__Transfer_Onat__set(_u8275) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8274), _u8275)) )).
% 12.32/12.56 cnf(matrix-4567, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4568, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8277, _u8278) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8279, _u8277) | c_Hoare__Mirabelle_Ohoare__derivs(_u8276, _u8279, _u8278) )).
% 12.32/12.56 cnf(matrix-4569, plain, ( ~class_Orderings_Olinorder(_u8280) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8281) != hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8282)) | ( _u8281 = _u8282) )).
% 12.32/12.56 cnf(matrix-4570, plain, ( ~class_Orderings_Olinorder(_u8280) | ( _u8281 != _u8282) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8281) = hAPP(c_SetInterval_Oord__class_OatMost(_u8280), _u8282)) )).
% 12.32/12.56 cnf(matrix-4571, plain, ( ~class_Orderings_Olinorder(_u8283) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8284) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8285)) | ( _u8284 = _u8285) )).
% 12.32/12.56 cnf(matrix-4572, plain, ( ~class_Orderings_Olinorder(_u8283) | ( _u8284 != _u8285) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8284) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8283), _u8285)) )).
% 12.32/12.56 cnf(matrix-4573, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8286, _u8287, _u8288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8286), tc_HOL_Obool)), _u8287), _u8289)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8286, _u8289, _u8288) )).
% 12.32/12.56 cnf(matrix-4574, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8290, _u8291, _u8292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8290), tc_HOL_Obool)), _u8293), _u8292)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8290, _u8291, _u8293) )).
% 12.32/12.56 cnf(matrix-4575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8294), tc_HOL_Obool)), _u8295), _u8296)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8294, _u8296, _u8295) )).
% 12.32/12.56 cnf(matrix-4576, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8297)) = hAPP(c_Nat_OSuc, _u8297)) )).
% 12.32/12.56 cnf(matrix-4577, plain, ( ~class_Groups_Oordered__ab__group__add(_u8298) | ( hAPP(c_Set_Oimage(_u8298, _u8298, c_Groups_Ouminus__class_Ouminus(_u8298)), hAPP(c_SetInterval_Oord__class_OatMost(_u8298), _u8299)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8298), hAPP(c_Groups_Ouminus__class_Ouminus(_u8298), _u8299))) )).
% 12.32/12.56 cnf(matrix-4578, plain, ( ~class_Groups_Oordered__ab__group__add(_u8300) | ( hAPP(c_Set_Oimage(_u8300, _u8300, c_Groups_Ouminus__class_Ouminus(_u8300)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8300), _u8301)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8300), hAPP(c_Groups_Ouminus__class_Ouminus(_u8300), _u8301))) )).
% 12.32/12.56 cnf(matrix-4579, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8302)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8302)) )).
% 12.32/12.56 cnf(matrix-4580, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8303), _u8304) = 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)), _u8303)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8304)))) )).
% 12.32/12.56 cnf(matrix-4581, plain, ( ~c_Nat__Transfer_Onat__set(_u8305) | ~c_Nat__Transfer_Onat__set(_u8306) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8305), _u8306) = 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), _u8305)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8306)))) )).
% 12.32/12.56 cnf(matrix-4582, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8307) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8307)) )).
% 12.32/12.56 cnf(matrix-4583, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8308, _u8309)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8309), hAPP(c_Nat_OSuc, _u8308))) )).
% 12.32/12.56 cnf(matrix-4584, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8310)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8310)) )).
% 12.32/12.56 cnf(matrix-4585, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8311)), _u8312) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8311, _u8312)) )).
% 12.32/12.56 cnf(matrix-4586, plain, ( ~class_Orderings_Oorder(_u8313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8314)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8313), _u8315), _u8314)) )).
% 12.32/12.56 cnf(matrix-4587, plain, ( ~class_Orderings_Oorder(_u8313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8313), _u8315), _u8314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8314)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8313), _u8315))) )).
% 12.32/12.56 cnf(matrix-4588, plain, ( ~class_Orderings_Oorder(_u8316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8316, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8317)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8316), _u8317), _u8318)) )).
% 12.32/12.56 cnf(matrix-4589, plain, ( ~class_Orderings_Oorder(_u8316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8316), _u8317), _u8318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8316, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8317)), hAPP(c_SetInterval_Oord__class_OatMost(_u8316), _u8318))) )).
% 12.32/12.56 cnf(matrix-4590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8319), _u8320)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8320), _u8321)) = 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, _u8319), _u8320)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8320), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8320), _u8321)))) )).
% 12.32/12.56 cnf(matrix-4591, plain, ( ~class_Orderings_Olinorder(_u8322) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8322), _u8323)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8322), _u8323)) )).
% 12.32/12.56 cnf(matrix-4592, plain, ( ~class_Orderings_Olinorder(_u8324) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8324, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8324), _u8325)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8324), _u8325)) )).
% 12.32/12.56 cnf(matrix-4593, plain, ( ~class_Orderings_Olinorder(_u8326) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8326, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8326), _u8327)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8326), _u8327)) )).
% 12.32/12.56 cnf(matrix-4594, plain, ( ~class_Orderings_Olinorder(_u8328) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8328), _u8329)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8328), _u8329)) )).
% 12.32/12.56 cnf(matrix-4595, plain, ( ~class_Groups_Ocomm__monoid__add(_u8330) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8330), _u8331), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8332))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8330), _u8331), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8332))), hAPP(_u8331, hAPP(c_Nat_OSuc, _u8332)))) )).
% 12.32/12.56 cnf(matrix-4596, plain, ( ~class_Orderings_Olinorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8333, _u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8333), _u8335)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8333), _u8334)) )).
% 12.32/12.56 cnf(matrix-4597, plain, ( ~class_Orderings_Olinorder(_u8336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8337), _u8338)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8336, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8336), _u8337)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8336, _u8337, _u8338)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8336), _u8338)) )).
% 12.32/12.56 cnf(matrix-4598, plain, ( ~class_Orderings_Olinorder(_u8339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8339), _u8340), _u8341)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8339, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8339), _u8340)), c_SetInterval_Oord__class_OatLeastAtMost(_u8339, _u8340, _u8341)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8339), _u8341)) )).
% 12.32/12.56 cnf(matrix-4599, plain, ( ~class_Orderings_Olinorder(_u8342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8342), _u8343), _u8344)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8342, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8342, _u8343, _u8344)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8342), _u8344)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8342), _u8343)) )).
% 12.32/12.56 cnf(matrix-4600, plain, ( ~class_Groups_Ocomm__monoid__add(_u8346) | ~class_Groups_Ocomm__monoid__mult(_u8346) | ( _u8347 != _u8348) | ~c_Nat__Transfer_Onat__set(_u8348) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8349), _u8347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8350), _u8348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem148(_u8350, _u8349, _u8348, _u8347, _u8346))) )).
% 12.32/12.56 cnf(matrix-4601, plain, ( ~class_Groups_Ocomm__monoid__add(_u8346) | ~class_Groups_Ocomm__monoid__mult(_u8346) | ( _u8347 != _u8348) | ~c_Nat__Transfer_Onat__set(_u8348) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8349), _u8347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8346), _u8350), _u8348)) | ( hAPP(_u8349, skolem148(_u8350, _u8349, _u8348, _u8347, _u8346)) != hAPP(_u8350, skolem148(_u8350, _u8349, _u8348, _u8347, _u8346))) )).
% 12.32/12.56 cnf(matrix-4602, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8352)), _u8353) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8351, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8351, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8352)), _u8353)), hAPP(_u8353, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.56 cnf(matrix-4603, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) )).
% 12.32/12.56 cnf(matrix-4604, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.56 cnf(matrix-4605, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.56 cnf(matrix-4606, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8358)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8364), _u8360)) )).
% 12.32/12.56 cnf(matrix-4607, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8362)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8360), _u8364)) )).
% 12.32/12.56 cnf(matrix-4608, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8358), _u8362)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8364), _u8360)) )).
% 12.32/12.56 cnf(matrix-4609, 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), _u8358, _u8360)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362, _u8364))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8362), _u8364)) )).
% 12.32/12.56 cnf(matrix-4610, 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8359), _u8361)) )).
% 12.32/12.56 cnf(matrix-4611, 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8359)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8361), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8359), _u8363)) )).
% 12.32/12.56 cnf(matrix-4612, 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), _u8359, _u8361)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363, _u8365))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8365)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8363), _u8359)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8361), _u8365)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8365), _u8361)) )).
% 12.32/12.56 cnf(matrix-4613, plain, ( ~class_Orderings_Oorder(_u8368) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8368, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8369) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem149(_u8369, _u8368)), skolem150(_u8369, _u8368))) )).
% 12.32/12.56 cnf(matrix-4614, plain, ( ~class_Orderings_Oorder(_u8368) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8368, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8368), hAPP(_u8369, skolem149(_u8369, _u8368))), hAPP(_u8369, skolem150(_u8369, _u8368)))) )).
% 12.32/12.56 cnf(matrix-4615, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8377, tc_fun(_u8379, tc_HOL_Obool)), _u8381), _u8383), _u8385)) | hBOOL(hAPP(hAPP(c_member(_u8377), skolem151(_u8385, _u8383, _u8381, _u8379, _u8377)), _u8381)) )).
% 12.32/12.56 cnf(matrix-4616, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8377, tc_fun(_u8379, tc_HOL_Obool)), _u8381), _u8383), _u8385)) | hBOOL(hAPP(hAPP(_u8383, skolem151(_u8385, _u8383, _u8381, _u8379, _u8377)), _u8385)) )).
% 12.32/12.56 cnf(matrix-4617, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8378), _u8371), _u8382)) | ~hBOOL(hAPP(hAPP(_u8384, _u8371), _u8386)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8378, tc_fun(_u8380, tc_HOL_Obool)), _u8382), _u8384), _u8386)) )).
% 12.32/12.56 cnf(matrix-4618, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8388)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool), tc_Nat_Onat), _u8389), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8390))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8387, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8390, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8388), _u8390))), _u8389)) )).
% 12.32/12.56 cnf(matrix-4619, 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), _u8395, _u8397)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399, _u8401))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8395), _u8397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399), _u8395)) )).
% 12.32/12.56 cnf(matrix-4620, 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), _u8395, _u8397)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8399, _u8401))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8395), _u8397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8397), _u8401)) )).
% 12.32/12.56 cnf(matrix-4621, 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), _u8396, _u8398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400, _u8402))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8396), _u8398)) )).
% 12.32/12.56 cnf(matrix-4622, 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), _u8396, _u8398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400, _u8402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8400), _u8396)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8398), _u8402)) )).
% 12.32/12.56 cnf(matrix-4623, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8404, tc_HOL_Obool)), _u8405), _u8406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8404, _u8403), _u8405), _u8407)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8404, _u8403), _u8406), _u8407))) )).
% 12.32/12.56 cnf(matrix-4624, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8409, tc_fun(_u8408, tc_HOL_Obool)), _u8410), _u8411)), _u8412) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8409, tc_fun(_u8408, tc_HOL_Obool)), _u8410), hAPP(hAPP(c_COMBC(_u8409, tc_fun(_u8408, tc_HOL_Obool), tc_fun(_u8408, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8408, tc_HOL_Obool), tc_fun(tc_fun(_u8408, tc_HOL_Obool), tc_fun(_u8408, tc_HOL_Obool)), _u8409), c_Groups_Ominus__class_Ominus(tc_fun(_u8408, tc_HOL_Obool))), _u8411)), _u8412))) )).
% 12.32/12.56 cnf(matrix-4625, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8413, tc_fun(_u8414, tc_HOL_Obool)), _u8415), hAPP(hAPP(c_COMBC(_u8413, tc_fun(_u8414, tc_HOL_Obool), tc_fun(_u8414, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8414, tc_HOL_Obool), tc_fun(tc_fun(_u8414, tc_HOL_Obool), tc_fun(_u8414, tc_HOL_Obool)), _u8413), c_Groups_Ominus__class_Ominus(tc_fun(_u8414, tc_HOL_Obool))), _u8416)), _u8417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8414, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8413, tc_fun(_u8414, tc_HOL_Obool)), _u8415), _u8416)), _u8417)) )).
% 12.32/12.56 cnf(matrix-4626, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8418) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8419, tc_fun(_u8420, _u8418)), _u8421), _u8422), _u8423) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8419, _u8418), _u8421), hAPP(hAPP(c_COMBC(_u8419, _u8420, _u8418), _u8422), _u8423))) )).
% 12.32/12.56 cnf(matrix-4627, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8437), _u8426), _u8439)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8425), hAPP(_u8441, _u8426))) | hBOOL(hAPP(_u8443, _u8425)) | hBOOL(hAPP(hAPP(c_member(_u8435), skolem152(_u8443, _u8441, _u8439, _u8437, _u8435)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8437, tc_fun(_u8435, tc_HOL_Obool)), _u8439), _u8441))) )).
% 12.32/12.56 cnf(matrix-4628, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8437), _u8426), _u8439)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8425), hAPP(_u8441, _u8426))) | hBOOL(hAPP(_u8443, _u8425)) | ~hBOOL(hAPP(_u8443, skolem152(_u8443, _u8441, _u8439, _u8437, _u8435))) )).
% 12.32/12.56 cnf(matrix-4629, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | hBOOL(hAPP(hAPP(c_member(_u8438), skolem153(_u8444, _u8442, _u8440, _u8438, _u8436)), _u8440)) )).
% 12.32/12.56 cnf(matrix-4630, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | hBOOL(hAPP(hAPP(c_member(_u8436), skolem154(_u8444, _u8442, _u8440, _u8438, _u8436)), hAPP(_u8442, skolem153(_u8444, _u8442, _u8440, _u8438, _u8436)))) )).
% 12.32/12.56 cnf(matrix-4631, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8436), _u8429), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8438, tc_fun(_u8436, tc_HOL_Obool)), _u8440), _u8442))) | hBOOL(hAPP(_u8444, _u8429)) | ~hBOOL(hAPP(_u8444, skolem154(_u8444, _u8442, _u8440, _u8438, _u8436))) )).
% 12.32/12.56 cnf(matrix-4632, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8445) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8446, _u8445), _u8447), hAPP(hAPP(c_COMBB(tc_fun(_u8448, _u8445), _u8445, _u8446), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8448, _u8445), _u8449)), _u8450)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8448, _u8445), _u8449), hAPP(hAPP(c_COMBB(tc_fun(_u8446, _u8445), _u8445, _u8448), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8446, _u8445), _u8447)), hAPP(c_COMBC(_u8446, _u8448, _u8445), _u8450)))) )).
% 12.32/12.56 cnf(matrix-4633, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8452, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8453, tc_fun(_u8451, tc_HOL_Obool)), _u8454), _u8455)), _u8456) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8453, tc_fun(_u8452, tc_HOL_Obool)), _u8454), hAPP(hAPP(c_COMBC(_u8453, tc_fun(_u8451, tc_fun(_u8452, tc_HOL_Obool)), tc_fun(_u8452, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8451, tc_HOL_Obool), tc_fun(tc_fun(_u8451, tc_fun(_u8452, tc_HOL_Obool)), tc_fun(_u8452, tc_HOL_Obool)), _u8453), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8452, tc_HOL_Obool))), _u8455)), _u8456))) )).
% 12.32/12.56 cnf(matrix-4634, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8457, tc_fun(_u8458, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8459, tc_fun(_u8457, tc_HOL_Obool)), _u8460), _u8461)), _u8462) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8459, tc_fun(_u8458, tc_HOL_Obool)), _u8460), hAPP(hAPP(c_COMBC(_u8459, tc_fun(_u8457, tc_fun(_u8458, tc_HOL_Obool)), tc_fun(_u8458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8457, tc_HOL_Obool), tc_fun(tc_fun(_u8457, tc_fun(_u8458, tc_HOL_Obool)), tc_fun(_u8458, tc_HOL_Obool)), _u8459), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8457, tc_fun(_u8458, tc_HOL_Obool))), _u8461)), _u8462))) )).
% 12.32/12.56 cnf(matrix-4635, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8463, tc_fun(_u8464, tc_HOL_Obool)), _u8465), hAPP(hAPP(c_COMBC(_u8463, tc_fun(_u8466, tc_fun(_u8464, tc_HOL_Obool)), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8466, tc_HOL_Obool), tc_fun(tc_fun(_u8466, tc_fun(_u8464, tc_HOL_Obool)), tc_fun(_u8464, tc_HOL_Obool)), _u8463), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8466, tc_fun(_u8464, tc_HOL_Obool))), _u8467)), _u8468)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8466, tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8463, tc_fun(_u8466, tc_HOL_Obool)), _u8465), _u8467)), _u8468)) )).
% 12.32/12.56 cnf(matrix-4636, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8469), _u8473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(_u8474, _u8469)), _u8475)) )).
% 12.32/12.56 cnf(matrix-4637, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | hBOOL(hAPP(hAPP(c_member(_u8472), skolem155(_u8475, _u8474, _u8473, _u8472, _u8471)), _u8473)) )).
% 12.32/12.56 cnf(matrix-4638, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8472, _u8471), _u8473), _u8474)), _u8475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), hAPP(_u8474, skolem155(_u8475, _u8474, _u8473, _u8472, _u8471))), _u8475)) )).
% 12.32/12.56 cnf(matrix-4639, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) | hBOOL(hAPP(hAPP(c_member(_u8480), skolem156(_u8482, _u8481, _u8480, _u8479, _u8478)), _u8481)) )).
% 12.32/12.56 cnf(matrix-4640, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(_u8482, skolem156(_u8482, _u8481, _u8480, _u8479, _u8478)))) )).
% 12.32/12.56 cnf(matrix-4641, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8478) | ~class_Orderings_Olinorder(_u8478) | ~hBOOL(hAPP(hAPP(c_member(_u8480), _u8477), _u8481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(_u8482, _u8477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8478), _u8479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8480, _u8478), _u8481), _u8482))) )).
% 12.32/12.56 cnf(matrix-4642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8490, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8492, tc_fun(_u8490, tc_HOL_Obool)), _u8494), _u8496)), _u8498)) | ~hBOOL(hAPP(hAPP(c_member(_u8492), _u8483), _u8494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8490, tc_HOL_Obool)), hAPP(_u8496, _u8483)), _u8498)) )).
% 12.32/12.56 cnf(matrix-4643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8493, tc_fun(_u8491, tc_HOL_Obool)), _u8495), _u8497)), _u8499)) | hBOOL(hAPP(hAPP(c_member(_u8493), skolem157(_u8499, _u8497, _u8495, _u8493, _u8491)), _u8495)) )).
% 12.32/12.56 cnf(matrix-4644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8493, tc_fun(_u8491, tc_HOL_Obool)), _u8495), _u8497)), _u8499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(_u8497, skolem157(_u8499, _u8497, _u8495, _u8493, _u8491))), _u8499)) )).
% 12.32/12.56 cnf(matrix-4645, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool)), _u8502), hAPP(hAPP(c_COMBB(_u8503, tc_fun(_u8501, tc_HOL_Obool), _u8500), _u8504), _u8505)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8503, tc_fun(_u8501, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8500, _u8503, _u8505), _u8502)), _u8504)) )).
% 12.32/12.56 cnf(matrix-4646, plain, ( ( hAPP(c_Set_Oimage(_u8506, _u8507, _u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, tc_fun(_u8506, tc_HOL_Obool)), _u8510), _u8511)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, tc_fun(_u8507, tc_HOL_Obool)), _u8510), hAPP(hAPP(c_COMBB(tc_fun(_u8506, tc_HOL_Obool), tc_fun(_u8507, tc_HOL_Obool), _u8509), c_Set_Oimage(_u8506, _u8507, _u8508)), _u8511))) )).
% 12.32/12.56 cnf(matrix-4647, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8512, tc_fun(_u8513, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8514, _u8512, _u8515), _u8516)), _u8517) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8514, tc_fun(_u8513, tc_HOL_Obool)), _u8516), hAPP(hAPP(c_COMBB(_u8512, tc_fun(_u8513, tc_HOL_Obool), _u8514), _u8517), _u8515))) )).
% 12.32/12.56 cnf(matrix-4648, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8518, tc_HOL_Obool)), _u8520), _u8521)), _u8522) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8519, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), _u8520), _u8522)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8518, tc_fun(_u8519, tc_HOL_Obool)), _u8521), _u8522))) )).
% 12.32/12.56 cnf(matrix-4649, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), hAPP(hAPP(c_COMBS(_u8523, tc_fun(_u8524, tc_HOL_Obool), tc_fun(_u8524, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8524, tc_HOL_Obool), tc_fun(tc_fun(_u8524, tc_HOL_Obool), tc_fun(_u8524, tc_HOL_Obool)), _u8523), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8524, tc_HOL_Obool))), _u8526)), _u8527)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8524, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), _u8526)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8523, tc_fun(_u8524, tc_HOL_Obool)), _u8525), _u8527))) )).
% 12.32/12.56 cnf(matrix-4650, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4651, 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | 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), skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530)))) )).
% 12.32/12.56 cnf(matrix-4652, 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530))) | hBOOL(hAPP(hAPP(_u8532, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem158(_u8532, _u8531, _u8530)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem159(_u8532, _u8531, _u8530))) )).
% 12.32/12.56 cnf(matrix-4653, 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), _u8530), _u8531))) | hBOOL(hAPP(hAPP(_u8532, _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(_u8532, skolem158(_u8532, _u8531, _u8530)), skolem159(_u8532, _u8531, _u8530))) )).
% 12.32/12.56 cnf(matrix-4654, plain, ( ( hAPP(c_Set_Oimage(_u8533, _u8533, c_COMBI(_u8533)), _u8534) = _u8534) )).
% 12.32/12.56 cnf(matrix-4655, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8535)) = 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), _u8535)))) )).
% 12.32/12.56 cnf(matrix-4656, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8536, tc_HOL_Obool)), _u8537)) )).
% 12.32/12.56 cnf(matrix-4657, plain, ( ~class_Orderings_Otop(_u8538) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8539, _u8538)), _u8540) = c_Orderings_Otop__class_Otop(_u8538)) )).
% 12.32/12.56 cnf(matrix-4658, plain, ( ( _u8547 = _u8551) | hBOOL(hAPP(_u8549, _u8551)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8545), _u8547), _u8549), _u8551)) )).
% 12.32/12.56 cnf(matrix-4659, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8546), _u8548), _u8550), _u8552)) | ( _u8548 != _u8552) )).
% 12.32/12.56 cnf(matrix-4660, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8546), _u8548), _u8550), _u8552)) | ~hBOOL(hAPP(_u8550, _u8552)) )).
% 12.32/12.56 cnf(matrix-4661, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8553), _u8554), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8555), _u8556)) = hAPP(hAPP(c_Set_Oinsert(_u8553), _u8555), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8554), _u8556))) )).
% 12.32/12.56 cnf(matrix-4662, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), _u8559)) = hAPP(hAPP(c_Set_Oinsert(_u8557), _u8558), _u8559)) )).
% 12.32/12.56 cnf(matrix-4663, plain, ( ( hAPP(c_Set_Oimage(_u8560, _u8561, _u8562), hAPP(hAPP(c_Set_Oinsert(_u8560), _u8563), _u8564)) = hAPP(hAPP(c_Set_Oinsert(_u8561), hAPP(_u8562, _u8563)), hAPP(c_Set_Oimage(_u8560, _u8561, _u8562), _u8564))) )).
% 12.32/12.56 cnf(matrix-4664, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8565, tc_HOL_Obool)), _u8566), c_Orderings_Otop__class_Otop(tc_fun(_u8565, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8567, tc_HOL_Obool)), _u8568), hAPP(hAPP(c_Set_Oinsert(_u8567), _u8569), _u8568))) )).
% 12.32/12.56 cnf(matrix-4666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8570, tc_HOL_Obool)), _u8571), _u8572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8570, tc_HOL_Obool)), _u8571), hAPP(hAPP(c_Set_Oinsert(_u8570), _u8573), _u8572))) )).
% 12.32/12.56 cnf(matrix-4667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8574, tc_HOL_Obool)), _u8575), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8574, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8574), _u8577), _u8575)), hAPP(hAPP(c_Set_Oinsert(_u8574), _u8577), _u8576))) )).
% 12.32/12.56 cnf(matrix-4668, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8578, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))), _u8579) = c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4669, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8580, tc_HOL_Obool)), _u8581), c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4670, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8582, tc_HOL_Obool)), _u8583), hAPP(hAPP(c_Set_Oinsert(_u8582), _u8584), _u8585)) = hAPP(hAPP(c_Set_Oinsert(_u8582), _u8584), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8582, tc_HOL_Obool)), _u8583), _u8585))) )).
% 12.32/12.56 cnf(matrix-4671, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8586, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8586), _u8587), _u8588)), _u8589) = hAPP(hAPP(c_Set_Oinsert(_u8586), _u8587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8586, tc_HOL_Obool)), _u8588), _u8589))) )).
% 12.32/12.56 cnf(matrix-4672, plain, ( ( hAPP(c_Set_Oimage(_u8590, _u8591, hAPP(hAPP(c_COMBB(_u8592, _u8591, _u8590), _u8593), _u8594)), c_Orderings_Otop__class_Otop(tc_fun(_u8590, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u8592, _u8591, _u8593), hAPP(c_Set_Oimage(_u8590, _u8592, _u8594), c_Orderings_Otop__class_Otop(tc_fun(_u8590, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4673, plain, ( ~class_Orderings_Otop(_u8595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8595), _u8596), c_Orderings_Otop__class_Otop(_u8595))) )).
% 12.32/12.56 cnf(matrix-4674, plain, ( ~class_Lattices_Obounded__lattice__top(_u8597) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8597), _u8598), c_Orderings_Otop__class_Otop(_u8597)) = c_Orderings_Otop__class_Otop(_u8597)) )).
% 12.32/12.56 cnf(matrix-4675, plain, ( ~class_Lattices_Obounded__lattice__top(_u8599) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8599), c_Orderings_Otop__class_Otop(_u8599)), _u8600) = c_Orderings_Otop__class_Otop(_u8599)) )).
% 12.32/12.56 cnf(matrix-4676, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4677, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4678, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4679, plain, ( ( hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), c_Orderings_Otop__class_Otop(tc_fun(_u8601, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8602, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8602, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8602, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), _u8604))), hAPP(c_Set_Oimage(_u8601, _u8602, _u8603), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8601, tc_HOL_Obool)), _u8604)))) )).
% 12.32/12.56 cnf(matrix-4680, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8605, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8605, tc_HOL_Obool)), _u8606)), _u8606) = c_Orderings_Otop__class_Otop(tc_fun(_u8605, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4681, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8607, tc_HOL_Obool)), _u8608), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8607, tc_HOL_Obool)), _u8608)) = c_Orderings_Otop__class_Otop(tc_fun(_u8607, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4682, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8609)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8609), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8609))) )).
% 12.32/12.56 cnf(matrix-4683, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8610, tc_HOL_Obool)), _u8611) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8610, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8610, tc_HOL_Obool))), _u8611)) )).
% 12.32/12.56 cnf(matrix-4684, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8612)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8612)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8612))) )).
% 12.32/12.56 cnf(matrix-4685, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8613, tc_fun(_u8614, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8613), _u8615), _u8616)), _u8617) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8614, tc_HOL_Obool)), hAPP(_u8617, _u8615)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8613, tc_fun(_u8614, tc_HOL_Obool)), _u8616), _u8617))) )).
% 12.32/12.56 cnf(matrix-4686, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4687, plain, ( ~class_Lattices_Oboolean__algebra(_u8618) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8618), hAPP(c_Groups_Ouminus__class_Ouminus(_u8618), _u8619)), _u8619) = c_Orderings_Otop__class_Otop(_u8618)) )).
% 12.32/12.56 cnf(matrix-4688, plain, ( ~class_Lattices_Oboolean__algebra(_u8620) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8620), _u8621), hAPP(c_Groups_Ouminus__class_Ouminus(_u8620), _u8621)) = c_Orderings_Otop__class_Otop(_u8620)) )).
% 12.32/12.56 cnf(matrix-4689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8622), hAPP(c_Nat_OSuc, _u8623))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8622, hAPP(c_Nat_OSuc, _u8623)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8623)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8622, _u8623))) )).
% 12.32/12.56 cnf(matrix-4690, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, 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(_u8624, tc_HOL_Obool)), tc_fun(_u8624, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool)), tc_fun(_u8624, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8625)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8624, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8625)) )).
% 12.32/12.56 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem160(_u8630, _u8629, _u8628, _u8627))), _u8628)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, 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), skolem160(_u8630, _u8629, _u8628, _u8627)), _u8629))), _u8630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8628)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8627, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8630))) )).
% 12.32/12.56 cnf(matrix-4692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8634), _u8636)) | ( 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)), _u8634)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8638), _u8636)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8638), _u8634)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8636), _u8634))) )).
% 12.32/12.56 cnf(matrix-4693, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8635), _u8637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8639), _u8637)) | ( 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)), _u8635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8639), _u8637)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4694, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8635), _u8637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8639), _u8637)) | ( 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)), _u8635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8639), _u8637)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4695, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem161(_u8644, _u8643, _u8642, _u8641))), _u8642) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, 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), skolem161(_u8644, _u8643, _u8642, _u8641)), _u8643))), _u8644)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8642) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8641, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8644)) )).
% 12.32/12.56 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8646, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8646, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem162(_u8648, _u8647, _u8646))), _u8647)), _u8648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8646, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8646, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8647)), _u8648)) )).
% 12.32/12.56 cnf(matrix-4697, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8649, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8649, tc_HOL_Obool))), _u8650)) )).
% 12.32/12.56 cnf(matrix-4698, plain, ( ( _u8652 = _u8653) | ( hAPP(hAPP(c_Set_Oinsert(_u8651), _u8652), c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u8651), _u8653), c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4699, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8661 = _u8665) | ( _u8661 = _u8667) )).
% 12.32/12.56 cnf(matrix-4700, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8661 = _u8665) | ( _u8663 = _u8665) )).
% 12.32/12.56 cnf(matrix-4701, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8663 = _u8667) | ( _u8661 = _u8667) )).
% 12.32/12.56 cnf(matrix-4702, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8659), _u8661), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8663), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8659), _u8665), hAPP(hAPP(c_Set_Oinsert(_u8659), _u8667), c_Orderings_Obot__class_Obot(tc_fun(_u8659, tc_HOL_Obool))))) | ( _u8663 = _u8667) | ( _u8663 = _u8665) )).
% 12.32/12.56 cnf(matrix-4703, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8664), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8660), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool))))) | ( _u8662 != _u8666) | ( _u8664 != _u8668) )).
% 12.32/12.56 cnf(matrix-4704, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8664), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8660), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8660), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8660, tc_HOL_Obool))))) | ( _u8662 != _u8668) | ( _u8664 != _u8666) )).
% 12.32/12.56 cnf(matrix-4705, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8669), _u8670), _u8671) != c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4706, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8672, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u8672), _u8673), _u8674)) )).
% 12.32/12.56 cnf(matrix-4707, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8675, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4708, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8683) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( _u8681 = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4709, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8683) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( _u8683 = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4710, plain, ( ( _u8682 != c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) | ( _u8684 != c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8680, tc_HOL_Obool)), _u8682), _u8684) = c_Orderings_Obot__class_Obot(tc_fun(_u8680, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4711, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8685, tc_HOL_Obool)), _u8686), c_Orderings_Obot__class_Obot(tc_fun(_u8685, tc_HOL_Obool))) = _u8686) )).
% 12.32/12.56 cnf(matrix-4712, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8687, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8687, tc_HOL_Obool))), _u8688) = _u8688) )).
% 12.32/12.56 cnf(matrix-4713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8691, tc_HOL_Obool)), _u8693), c_Orderings_Obot__class_Obot(tc_fun(_u8691, tc_HOL_Obool)))) | ( _u8693 = c_Orderings_Obot__class_Obot(tc_fun(_u8691, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4714, plain, ( ( _u8694 != c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8692, tc_HOL_Obool)), _u8694), c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8695, tc_HOL_Obool)), _u8696), c_Orderings_Obot__class_Obot(tc_fun(_u8695, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4716, plain, ( ( hAPP(c_Set_Oimage(_u8701, _u8703, _u8705), _u8707) != c_Orderings_Obot__class_Obot(tc_fun(_u8703, tc_HOL_Obool))) | ( _u8707 = c_Orderings_Obot__class_Obot(tc_fun(_u8701, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4717, plain, ( ( _u8708 != c_Orderings_Obot__class_Obot(tc_fun(_u8702, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8702, _u8704, _u8706), _u8708) = c_Orderings_Obot__class_Obot(tc_fun(_u8704, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4718, plain, ( ( hAPP(c_Set_Oimage(_u8709, _u8710, _u8711), c_Orderings_Obot__class_Obot(tc_fun(_u8709, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4719, plain, ( ( _u8722 = c_Orderings_Obot__class_Obot(tc_fun(_u8718, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8716, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u8718, _u8716, _u8720), _u8722)) )).
% 12.32/12.56 cnf(matrix-4720, plain, ( ( _u8723 != c_Orderings_Obot__class_Obot(tc_fun(_u8719, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8717, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u8719, _u8717, _u8721), _u8723)) )).
% 12.32/12.56 cnf(matrix-4721, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8725), _u8724), c_Orderings_Obot__class_Obot(tc_fun(_u8725, tc_HOL_Obool)))) | hBOOL(hAPP(_u8726, _u8724)) )).
% 12.32/12.56 cnf(matrix-4722, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8727, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool))), _u8728) = c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4723, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8729, tc_HOL_Obool)), _u8730), c_Orderings_Obot__class_Obot(tc_fun(_u8729, tc_HOL_Obool))) = _u8730) )).
% 12.32/12.56 cnf(matrix-4724, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8731, tc_HOL_Obool)), _u8732), _u8732) = c_Orderings_Obot__class_Obot(tc_fun(_u8731, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4725, plain, ( ~class_Orderings_Obot(_u8733) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8734, _u8733)), _u8735) = c_Orderings_Obot__class_Obot(_u8733)) )).
% 12.32/12.56 cnf(matrix-4726, plain, ( ~class_Orderings_Obot(_u8736) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8737, _u8736)), _u8738) = c_Orderings_Obot__class_Obot(_u8736)) )).
% 12.32/12.56 cnf(matrix-4727, plain, ( ~class_Orderings_Obot(_u8739) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8739), c_Orderings_Obot__class_Obot(_u8739)), _u8740)) )).
% 12.32/12.56 cnf(matrix-4728, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8741) | ( _u8742 = c_Orderings_Obot__class_Obot(tc_fun(_u8743, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8743, _u8741), _u8742), hAPP(c_COMBK(_u8741, _u8743), _u8744)) = _u8744) )).
% 12.32/12.56 cnf(matrix-4729, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8751, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8753, tc_fun(_u8751, tc_HOL_Obool)), _u8755), _u8757)) | ~hBOOL(hAPP(hAPP(c_member(_u8753), _u8745), _u8755)) | ( hAPP(_u8757, _u8745) = c_Orderings_Obot__class_Obot(tc_fun(_u8751, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4730, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8754, tc_fun(_u8752, tc_HOL_Obool)), _u8756), _u8758)) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem163(_u8758, _u8756, _u8754, _u8752)), _u8756)) )).
% 12.32/12.56 cnf(matrix-4731, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8754, tc_fun(_u8752, tc_HOL_Obool)), _u8756), _u8758)) | ( hAPP(_u8758, skolem163(_u8758, _u8756, _u8754, _u8752)) != c_Orderings_Obot__class_Obot(tc_fun(_u8752, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4732, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8759, tc_fun(_u8760, tc_HOL_Obool)), _u8761), hAPP(c_COMBK(tc_fun(_u8760, tc_HOL_Obool), _u8759), c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4733, plain, ( ( _u8766 != c_Orderings_Obot__class_Obot(tc_fun(_u8768, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8768, tc_fun(_u8770, tc_HOL_Obool)), _u8766), hAPP(c_COMBK(tc_fun(_u8770, tc_HOL_Obool), _u8768), _u8772)) = c_Orderings_Obot__class_Obot(tc_fun(_u8770, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4734, plain, ( ( _u8767 = c_Orderings_Obot__class_Obot(tc_fun(_u8769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8769, tc_fun(_u8771, tc_HOL_Obool)), _u8767), hAPP(c_COMBK(tc_fun(_u8771, tc_HOL_Obool), _u8769), _u8773)) = _u8773) )).
% 12.32/12.56 cnf(matrix-4735, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8780, tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8786) != c_Orderings_Obot__class_Obot(tc_fun(_u8782, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8780), _u8774), _u8784)) | ( hAPP(_u8786, _u8774) = c_Orderings_Obot__class_Obot(tc_fun(_u8782, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4736, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8781, tc_fun(_u8783, tc_HOL_Obool)), _u8785), _u8787) = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8781), skolem164(_u8787, _u8785, _u8783, _u8781)), _u8785)) )).
% 12.32/12.56 cnf(matrix-4737, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8781, tc_fun(_u8783, tc_HOL_Obool)), _u8785), _u8787) = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | ( hAPP(_u8787, skolem164(_u8787, _u8785, _u8783, _u8781)) != c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4738, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8788) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8788), c_Orderings_Obot__class_Obot(_u8788)), _u8789) = _u8789) )).
% 12.32/12.56 cnf(matrix-4739, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8790) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8790), _u8791), c_Orderings_Obot__class_Obot(_u8790)) = _u8791) )).
% 12.32/12.56 cnf(matrix-4740, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8793 = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.56 cnf(matrix-4741, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8794 = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.56 cnf(matrix-4742, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8792) | ( _u8793 != c_Orderings_Obot__class_Obot(_u8792)) | ( _u8794 != c_Orderings_Obot__class_Obot(_u8792)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8792), _u8793), _u8794) = c_Orderings_Obot__class_Obot(_u8792)) )).
% 12.32/12.56 cnf(matrix-4743, plain, ( ~class_Groups_Ocomm__monoid__add(_u8795) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8796, _u8795), _u8797), c_Orderings_Obot__class_Obot(tc_fun(_u8796, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u8795)) )).
% 12.32/12.56 cnf(matrix-4744, plain, ( ~class_Groups_Ocomm__monoid__add(_u8798) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8799, _u8798), _u8800), c_Orderings_Obot__class_Obot(tc_fun(_u8799, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u8798)) )).
% 12.32/12.56 cnf(matrix-4745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8801, tc_HOL_Obool)), _u8802), hAPP(hAPP(c_Set_Oinsert(_u8801), _u8803), c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool))))) | ( _u8802 = c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool))) | ( _u8802 = hAPP(hAPP(c_Set_Oinsert(_u8801), _u8803), c_Orderings_Obot__class_Obot(tc_fun(_u8801, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4746, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8804), _u8805), _u8806) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8804, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8804), _u8805), c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool)))), _u8806)) )).
% 12.32/12.56 cnf(matrix-4747, plain, ( ~class_Orderings_Oorder(_u8807) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8807, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u8807, _u8808, _u8809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8807), _u8808), _u8809)) )).
% 12.32/12.56 cnf(matrix-4748, plain, ( ~class_Orderings_Oorder(_u8807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8807), _u8808), _u8809)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8807, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8807, _u8808, _u8809)) )).
% 12.32/12.56 cnf(matrix-4749, plain, ( ~class_Orderings_Oorder(_u8810) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8810, _u8811, _u8812) != c_Orderings_Obot__class_Obot(tc_fun(_u8810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8810), _u8811), _u8812)) )).
% 12.32/12.56 cnf(matrix-4750, plain, ( ~class_Orderings_Oorder(_u8810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8810), _u8811), _u8812)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8810, _u8811, _u8812) = c_Orderings_Obot__class_Obot(tc_fun(_u8810, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4751, plain, ( ~class_Orderings_Oorder(_u8813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8813), _u8814), _u8815)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8813, _u8815, _u8814) = c_Orderings_Obot__class_Obot(tc_fun(_u8813, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4752, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), _u8817), hAPP(hAPP(c_Set_Oinsert(_u8816), _u8818), _u8819)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8816, tc_HOL_Obool)), _u8817), _u8819)), hAPP(hAPP(c_Set_Oinsert(_u8816), _u8818), c_Orderings_Obot__class_Obot(tc_fun(_u8816, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4753, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), _u8821), hAPP(hAPP(c_Set_Oinsert(_u8820), _u8822), _u8823)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8820, tc_HOL_Obool)), _u8821), hAPP(hAPP(c_Set_Oinsert(_u8820), _u8822), c_Orderings_Obot__class_Obot(tc_fun(_u8820, tc_HOL_Obool))))), _u8823)) )).
% 12.32/12.56 cnf(matrix-4754, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8824, tc_HOL_Obool)), _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u8824), _u8825), _u8826)) )).
% 12.32/12.56 cnf(matrix-4755, plain, ( ~class_Orderings_Oorder(_u8827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8827), _u8828), _u8829)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8827, _u8829), _u8828) = c_Orderings_Obot__class_Obot(tc_fun(_u8827, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4756, plain, ( ~class_Orderings_Oorder(_u8830) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8830, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8830, _u8831), _u8832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8831), _u8832)) )).
% 12.32/12.56 cnf(matrix-4757, plain, ( ~class_Orderings_Oorder(_u8830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8831), _u8832)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8830, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8830, _u8831), _u8832)) )).
% 12.32/12.56 cnf(matrix-4758, plain, ( ~class_Orderings_Oorder(_u8833) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8833, _u8834), _u8835) != c_Orderings_Obot__class_Obot(tc_fun(_u8833, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8833), _u8834), _u8835)) )).
% 12.32/12.56 cnf(matrix-4759, plain, ( ~class_Orderings_Oorder(_u8833) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8833), _u8834), _u8835)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8833, _u8834), _u8835) = c_Orderings_Obot__class_Obot(tc_fun(_u8833, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4760, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8836, tc_HOL_Obool)), _u8837), c_Orderings_Otop__class_Otop(tc_fun(_u8836, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8836, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4761, plain, ( ~class_Orderings_Oorder(_u8838) | ( _u8839 != _u8840) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8838, _u8839, _u8840) = hAPP(hAPP(c_Set_Oinsert(_u8838), _u8839), c_Orderings_Obot__class_Obot(tc_fun(_u8838, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4762, plain, ( ~class_Orderings_Oorder(_u8841) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) != hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) | ( _u8842 = _u8843) )).
% 12.32/12.56 cnf(matrix-4763, plain, ( ~class_Orderings_Oorder(_u8841) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) != hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) | ( _u8843 = _u8844) )).
% 12.32/12.56 cnf(matrix-4764, plain, ( ~class_Orderings_Oorder(_u8841) | ( _u8842 != _u8843) | ( _u8843 != _u8844) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8841, _u8842, _u8843) = hAPP(hAPP(c_Set_Oinsert(_u8841), _u8844), c_Orderings_Obot__class_Obot(tc_fun(_u8841, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4765, plain, ( ~class_Orderings_Oorder(_u8845) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8845, _u8846, _u8846) = hAPP(hAPP(c_Set_Oinsert(_u8845), _u8846), c_Orderings_Obot__class_Obot(tc_fun(_u8845, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4766, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8849, tc_HOL_Obool)), _u8851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8849, tc_HOL_Obool)), _u8851))) | ( _u8851 = c_Orderings_Obot__class_Obot(tc_fun(_u8849, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4767, plain, ( ( _u8852 != c_Orderings_Obot__class_Obot(tc_fun(_u8850, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8850, tc_HOL_Obool)), _u8852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8850, tc_HOL_Obool)), _u8852))) )).
% 12.32/12.56 cnf(matrix-4768, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8853, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8853, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8853, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4769, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8854, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8854, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8854, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4770, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8855), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4771, plain, ( ~class_Orderings_Oorder(_u8856) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8856), _u8857), _u8858)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8856, _u8858, _u8857) = c_Orderings_Obot__class_Obot(tc_fun(_u8856, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4772, plain, ( ~class_Orderings_Oorder(_u8859) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8859, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u8859, _u8860, _u8861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8859), _u8860), _u8861)) )).
% 12.32/12.56 cnf(matrix-4773, plain, ( ~class_Orderings_Oorder(_u8859) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8859), _u8860), _u8861)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8859, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8859, _u8860, _u8861)) )).
% 12.32/12.56 cnf(matrix-4774, plain, ( ~class_Orderings_Oorder(_u8862) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8862, _u8863, _u8864) != c_Orderings_Obot__class_Obot(tc_fun(_u8862, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8862), _u8863), _u8864)) )).
% 12.32/12.56 cnf(matrix-4775, plain, ( ~class_Orderings_Oorder(_u8862) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8862), _u8863), _u8864)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u8862, _u8863, _u8864) = c_Orderings_Obot__class_Obot(tc_fun(_u8862, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4776, plain, ( ~class_Orderings_Oorder(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8865), _u8866), _u8867)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u8865, _u8867, _u8866) = c_Orderings_Obot__class_Obot(tc_fun(_u8865, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4777, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4778, plain, ( ( _u8872 != c_Orderings_Obot__class_Obot(tc_fun(_u8874, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8874, _u8876, hAPP(c_COMBK(_u8876, _u8874), _u8878)), _u8872) = c_Orderings_Obot__class_Obot(tc_fun(_u8876, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4779, plain, ( ( _u8873 = c_Orderings_Obot__class_Obot(tc_fun(_u8875, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8875, _u8877, hAPP(c_COMBK(_u8877, _u8875), _u8879)), _u8873) = hAPP(hAPP(c_Set_Oinsert(_u8877), _u8879), c_Orderings_Obot__class_Obot(tc_fun(_u8877, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4780, plain, ( ( _u8885 != c_Orderings_Obot__class_Obot(tc_fun(_u8887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u8889), _u8891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8887, tc_fun(_u8889, tc_HOL_Obool)), _u8885), _u8893)) = hAPP(hAPP(c_Set_Oinsert(_u8889), _u8891), c_Orderings_Obot__class_Obot(tc_fun(_u8889, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4781, plain, ( ( _u8886 = c_Orderings_Obot__class_Obot(tc_fun(_u8888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u8890), _u8892), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), _u8894)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), hAPP(hAPP(c_COMBB(tc_fun(_u8890, tc_HOL_Obool), tc_fun(_u8890, tc_HOL_Obool), _u8888), hAPP(c_Set_Oinsert(_u8890), _u8892)), _u8894))) )).
% 12.32/12.56 cnf(matrix-4782, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8895, tc_HOL_Obool)), _u8896), hAPP(hAPP(c_COMBC(_u8895, tc_fun(_u8895, tc_HOL_Obool), tc_fun(_u8895, tc_HOL_Obool)), c_Set_Oinsert(_u8895)), c_Orderings_Obot__class_Obot(tc_fun(_u8895, tc_HOL_Obool)))) = _u8896) )).
% 12.32/12.56 cnf(matrix-4783, plain, ( ( _u8902 != c_Orderings_Obot__class_Obot(tc_fun(_u8904, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8904, tc_fun(_u8906, tc_HOL_Obool)), _u8902), hAPP(hAPP(c_COMBB(tc_fun(_u8906, tc_HOL_Obool), tc_fun(_u8906, tc_HOL_Obool), _u8904), hAPP(c_Set_Oinsert(_u8906), _u8908)), _u8910)) = c_Orderings_Obot__class_Obot(tc_fun(_u8906, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4784, plain, ( ( _u8903 = c_Orderings_Obot__class_Obot(tc_fun(_u8905, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8905, tc_fun(_u8907, tc_HOL_Obool)), _u8903), hAPP(hAPP(c_COMBB(tc_fun(_u8907, tc_HOL_Obool), tc_fun(_u8907, tc_HOL_Obool), _u8905), hAPP(c_Set_Oinsert(_u8907), _u8909)), _u8911)) = hAPP(hAPP(c_Set_Oinsert(_u8907), _u8909), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8905, tc_fun(_u8907, tc_HOL_Obool)), _u8903), _u8911))) )).
% 12.32/12.56 cnf(matrix-4785, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8912), _u8913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8913), _u8912)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8913, _u8912) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4786, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8916, _u8918) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8916), _u8918)) )).
% 12.32/12.56 cnf(matrix-4787, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8917), _u8919)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8917, _u8919) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4788, 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), _u8922, _u8924)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8922), _u8924)) )).
% 12.32/12.56 cnf(matrix-4789, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8923), _u8925)) | ( 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), _u8923, _u8925)) )).
% 12.32/12.56 cnf(matrix-4790, plain, ( ( _u8931 != c_Orderings_Obot__class_Obot(tc_fun(_u8933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8935, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8935, tc_HOL_Obool)), _u8931), _u8937)), _u8939) = _u8939) )).
% 12.32/12.56 cnf(matrix-4791, plain, ( ( _u8932 = c_Orderings_Obot__class_Obot(tc_fun(_u8934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8934, tc_fun(_u8936, tc_HOL_Obool)), _u8932), _u8938)), _u8940) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8934, tc_fun(_u8936, tc_HOL_Obool)), _u8932), hAPP(hAPP(c_COMBC(_u8934, tc_fun(_u8936, tc_HOL_Obool), tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8936, tc_HOL_Obool), tc_fun(tc_fun(_u8936, tc_HOL_Obool), tc_fun(_u8936, tc_HOL_Obool)), _u8934), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8936, tc_HOL_Obool))), _u8938)), _u8940))) )).
% 12.32/12.56 cnf(matrix-4792, plain, ( ( _u8946 != c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8950, tc_HOL_Obool)), _u8952), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8948, tc_fun(_u8950, tc_HOL_Obool)), _u8946), _u8954)) = _u8952) )).
% 12.32/12.56 cnf(matrix-4793, plain, ( ( _u8947 = c_Orderings_Obot__class_Obot(tc_fun(_u8949, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8951, tc_HOL_Obool)), _u8953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8949, tc_fun(_u8951, tc_HOL_Obool)), _u8947), _u8955)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8949, tc_fun(_u8951, tc_HOL_Obool)), _u8947), hAPP(hAPP(c_COMBB(tc_fun(_u8951, tc_HOL_Obool), tc_fun(_u8951, tc_HOL_Obool), _u8949), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8951, tc_HOL_Obool)), _u8953)), _u8955))) )).
% 12.32/12.56 cnf(matrix-4794, plain, ( ( _u8961 != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8963, tc_fun(_u8965, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_COMBC(_u8963, tc_fun(_u8965, tc_HOL_Obool), tc_fun(_u8965, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8965, tc_HOL_Obool), tc_fun(tc_fun(_u8965, tc_HOL_Obool), tc_fun(_u8965, tc_HOL_Obool)), _u8963), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8965, tc_HOL_Obool))), _u8967)), _u8969)) = c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4795, plain, ( ( _u8962 = c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8964, tc_fun(_u8966, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_COMBC(_u8964, tc_fun(_u8966, tc_HOL_Obool), tc_fun(_u8966, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8966, tc_HOL_Obool), tc_fun(tc_fun(_u8966, tc_HOL_Obool), tc_fun(_u8966, tc_HOL_Obool)), _u8964), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8966, tc_HOL_Obool))), _u8968)), _u8970)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8966, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8964, tc_fun(_u8966, tc_HOL_Obool)), _u8962), _u8968)), _u8970)) )).
% 12.32/12.56 cnf(matrix-4796, plain, ( ( _u8976 != c_Orderings_Obot__class_Obot(tc_fun(_u8978, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8978, tc_fun(_u8980, tc_HOL_Obool)), _u8976), hAPP(hAPP(c_COMBB(tc_fun(_u8980, tc_HOL_Obool), tc_fun(_u8980, tc_HOL_Obool), _u8978), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8980, tc_HOL_Obool)), _u8982)), _u8984)) = c_Orderings_Obot__class_Obot(tc_fun(_u8980, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4797, plain, ( ( _u8977 = c_Orderings_Obot__class_Obot(tc_fun(_u8979, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8979, tc_fun(_u8981, tc_HOL_Obool)), _u8977), hAPP(hAPP(c_COMBB(tc_fun(_u8981, tc_HOL_Obool), tc_fun(_u8981, tc_HOL_Obool), _u8979), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8981, tc_HOL_Obool)), _u8983)), _u8985)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8981, tc_HOL_Obool)), _u8983), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8979, tc_fun(_u8981, tc_HOL_Obool)), _u8977), _u8985))) )).
% 12.32/12.56 cnf(matrix-4798, plain, ( ~class_Lattices_Oboolean__algebra(_u8986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8986), c_Orderings_Otop__class_Otop(_u8986)) = c_Orderings_Obot__class_Obot(_u8986)) )).
% 12.32/12.56 cnf(matrix-4799, plain, ( ~class_Lattices_Oboolean__algebra(_u8987) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8987), c_Orderings_Obot__class_Obot(_u8987)) = c_Orderings_Otop__class_Otop(_u8987)) )).
% 12.32/12.56 cnf(matrix-4800, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8988), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u8988)), c_Option_Ooption_ONone(_u8988)), hAPP(c_Set_Oimage(_u8988, tc_Option_Ooption(_u8988), c_Option_Ooption_OSome(_u8988)), c_Orderings_Otop__class_Otop(tc_fun(_u8988, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4801, plain, ( ~class_Orderings_Oorder(_u8989) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8989), _u8990)) = hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4802, plain, ( ( hAPP(c_Set_Oimage(_u8991, _u8992, _u8993), _u8994) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8991, tc_fun(_u8992, tc_HOL_Obool)), _u8994), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8992, tc_HOL_Obool), tc_fun(_u8992, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u8992, tc_fun(tc_fun(_u8992, tc_HOL_Obool), tc_fun(_u8992, tc_HOL_Obool)), _u8991), c_Set_Oinsert(_u8992)), _u8993)), c_Orderings_Obot__class_Obot(tc_fun(_u8992, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4803, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8995), hAPP(c_Nat_OSuc, _u8995)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8995), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4804, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4805, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8999, _u9001) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9003), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u8999 = _u9001) )).
% 12.32/12.56 cnf(matrix-4806, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8999, _u9001) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9003), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9001 = _u9003) )).
% 12.32/12.56 cnf(matrix-4807, plain, ( ( _u9000 != _u9002) | ( _u9002 != _u9004) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9000, _u9002) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9004), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4808, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9005, _u9005) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9005), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4809, plain, ( ( _u9006 != _u9007) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9006, _u9007) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9006), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4810, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9008)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u9008)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9008), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4811, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9009)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9009)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4812, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.32/12.56 cnf(matrix-4813, plain, ( ~class_Orderings_Olinorder(_u9010) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9010, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9010), _u9011)), hAPP(hAPP(c_Set_Oinsert(_u9010), _u9011), c_Orderings_Obot__class_Obot(tc_fun(_u9010, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u9010), _u9011)) )).
% 12.32/12.56 cnf(matrix-4814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9014), _u9016)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9014), hAPP(c_Nat_OSuc, _u9016)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9016), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9014), _u9016))) )).
% 12.32/12.56 cnf(matrix-4815, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9015), _u9017)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9015), hAPP(c_Nat_OSuc, _u9017)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4816, plain, ( ~class_Orderings_Olinorder(_u9018) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9018, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9018), _u9019), c_Orderings_Obot__class_Obot(tc_fun(_u9018, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9018), _u9019)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u9018), _u9019)) )).
% 12.32/12.56 cnf(matrix-4817, plain, ( ~class_Orderings_Olinorder(_u9020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9020), _u9021), _u9022)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9020, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9020, _u9021), _u9022)), hAPP(hAPP(c_Set_Oinsert(_u9020), _u9022), c_Orderings_Obot__class_Obot(tc_fun(_u9020, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u9020, _u9021, _u9022)) )).
% 12.32/12.56 cnf(matrix-4818, plain, ( ~class_Orderings_Olinorder(_u9023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9023), _u9024), _u9025)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9023, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9023), _u9024), c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9023, _u9024, _u9025)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9023, _u9024, _u9025)) )).
% 12.32/12.56 cnf(matrix-4819, plain, ( ~class_Orderings_Olinorder(_u9026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9026), _u9027), _u9028)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9026), _u9027), c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9026, _u9027, _u9028)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9026, _u9027), _u9028)) )).
% 12.32/12.56 cnf(matrix-4820, plain, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9030), _u9031)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9029, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9029, _u9030, _u9031)), hAPP(hAPP(c_Set_Oinsert(_u9029), _u9031), c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9029, _u9030, _u9031)) )).
% 12.32/12.56 cnf(matrix-4821, plain, ( ( c_Set_Othe__elem(_u9032, _u9033) = c_HOL_OThe(_u9032, hAPP(hAPP(c_COMBB(tc_fun(_u9032, tc_HOL_Obool), tc_HOL_Obool, _u9032), hAPP(c_fequal, _u9033)), hAPP(hAPP(c_COMBC(_u9032, tc_fun(_u9032, tc_HOL_Obool), tc_fun(_u9032, tc_HOL_Obool)), c_Set_Oinsert(_u9032)), c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool)))))) )).
% 12.32/12.56 cnf(matrix-4822, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9034), c_Orderings_Obot__class_Obot(tc_fun(_u9034, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4823, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9035), _u9036)) | ( 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)))), _u9036, _u9035) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4824, plain, ( ( c_Set_Othe__elem(_u9037, hAPP(hAPP(c_Set_Oinsert(_u9037), _u9038), c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool)))) = _u9038) )).
% 12.32/12.56 cnf(matrix-4825, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), _u9042)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9039), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4826, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9039)), _u9041), _u9042)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9039, _u9040, _u9042) )).
% 12.32/12.56 cnf(matrix-4827, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9043)), _u9045), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9043), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, _u9046) | c_Hoare__Mirabelle_Ohoare__derivs(_u9043, _u9044, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9043)), _u9045), _u9046)) )).
% 12.32/12.56 cnf(matrix-4828, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4829, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9047, _u9048, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9047), tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4830, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9049, _u9050, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9049), tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4831, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4832, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-4833, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9053), _u9054), _u9055)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9055), _u9056), _u9057)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9051, _u9052, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9051)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9051), _u9053), c_Com_Ocom_OSemi(_u9054, _u9056)), _u9057)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9051), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4834, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9058, _u9059, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9058)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9058), _u9060), c_Com_Ocom_OSKIP), _u9060)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9058), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4835, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9061, _u9062, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9061)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9061), _u9063), c_Com_Ocom_OSKIP), _u9063)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9061), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4836, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4837, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4838, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9064, _u9065, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9064)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9064), hAPP(hAPP(c_COMBC(_u9064, 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)), _u9064), 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)), _u9064), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u9066))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u9067))), c_Com_Ocom_OWhile(_u9067, _u9068)), _u9066)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9064), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9071), _u9073)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9073, _u9071) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4840, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9072), _u9074)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9074, _u9072) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9074), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9074), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9072))) )).
% 12.32/12.56 cnf(matrix-4841, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9075, _u9076, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9075)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9075), hAPP(hAPP(c_COMBC(_u9075, 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)), _u9075), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u9077)), 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), _u9078)), _u9079))), c_Com_Ocom_OAss(_u9078, _u9079)), _u9077)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9075), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4842, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u9080, _u9081, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9080)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9080), hAPP(hAPP(c_COMBC(_u9080, 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)), _u9080), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u9082)), 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), _u9083)), _u9084))), c_Com_Ocom_OAss(_u9083, _u9084)), _u9082)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9080), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4843, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9085, _u9086, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9085)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9085), _u9087), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u9088))), _u9089)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9085), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9085, _u9086, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9085)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9085), _u9087), hAPP(c_Com_Ocom_OBODY, _u9088)), _u9089)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9085), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4844, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9090, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Com_Ocom_OBODY, _u9092)), _u9093)), _u9094), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u9092))), _u9093)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9090), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u9090, _u9094, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9090)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9090), _u9091), hAPP(c_Com_Ocom_OBODY, _u9092)), _u9093)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9090), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4845, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u9095, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9095), tc_HOL_Obool)), _u9096), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u9095), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), hAPP(hAPP(c_COMBB(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u9095)), _u9097)), c_Com_Ocom_OBODY)), _u9098)), _u9099)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u9095), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), hAPP(hAPP(c_COMBB(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u9095, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u9095))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u9095)), _u9097)), 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))), _u9098)), _u9099)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u9100), _u9099)) | c_Hoare__Mirabelle_Ohoare__derivs(_u9095, _u9096, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u9095)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u9095), hAPP(_u9097, _u9100)), hAPP(c_Com_Ocom_OBODY, _u9100)), hAPP(_u9098, _u9100))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u9095), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4846, plain, ( ( hAPP(c_Int_Onat, _u9101) = 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, _u9101)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.32/12.56 cnf(matrix-4847, plain, ( ( c_Option_Oset(_u9102, hAPP(c_Option_Ooption_OSome(_u9102), _u9103)) = hAPP(hAPP(c_Set_Oinsert(_u9102), _u9103), c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4848, 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)))), _u9106, _u9108)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9106), _u9108)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9108), _u9106)) )).
% 12.32/12.56 cnf(matrix-4849, 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)))), _u9107, _u9109)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9107), _u9109)) )).
% 12.32/12.56 cnf(matrix-4850, 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)))), _u9107, _u9109)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9109), _u9107)) )).
% 12.32/12.56 cnf(matrix-4851, plain, ( ( _u9110 != _u9111) | hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9110)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9111)) )).
% 12.32/12.56 cnf(matrix-4852, plain, ( ( _u9110 != _u9111) | hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9111)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9110)) )).
% 12.32/12.56 cnf(matrix-4853, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9114), _u9115), _u9116)) | ~hBOOL(hAPP(hAPP(hAPP(_u9117, _u9115), _u9118), _u9119)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9114, tc_fun(_u9120, tc_fun(_u9121, tc_HOL_Obool))), _u9116), _u9117), _u9118), _u9119)) )).
% 12.32/12.56 cnf(matrix-4854, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9122), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9122, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4855, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9124), _u9125), hAPP(hAPP(c_Set_Oinsert(_u9124), _u9126), _u9127))) | ( _u9125 = _u9126) | hBOOL(hAPP(hAPP(c_member(_u9124), _u9125), _u9127)) )).
% 12.32/12.56 cnf(matrix-4856, plain, ( hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), hAPP(hAPP(c_Set_Oinsert(_u9128), _u9131), _u9130))) | ~hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), _u9130)) )).
% 12.32/12.56 cnf(matrix-4857, plain, ( hBOOL(hAPP(hAPP(c_member(_u9128), _u9129), hAPP(hAPP(c_Set_Oinsert(_u9128), _u9131), _u9130))) | ( _u9129 != _u9131) )).
% 12.32/12.56 cnf(matrix-4858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9132, tc_HOL_Obool)), _u9133), _u9134)) | ~hBOOL(hAPP(hAPP(c_member(_u9132), _u9135), _u9133)) | hBOOL(hAPP(hAPP(c_member(_u9132), _u9135), _u9134)) )).
% 12.32/12.56 cnf(matrix-4859, plain, ( hBOOL(hAPP(hAPP(c_member(_u9136), _u9137), c_Orderings_Otop__class_Otop(tc_fun(_u9136, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4860, plain, ( ( _u9138 != hAPP(_u9139, _u9140)) | ~hBOOL(hAPP(hAPP(c_member(_u9141), _u9140), _u9142)) | hBOOL(hAPP(hAPP(c_member(_u9143), _u9138), hAPP(c_Set_Oimage(_u9141, _u9143, _u9139), _u9142))) )).
% 12.32/12.56 cnf(matrix-4861, plain, ( hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9144, tc_HOL_Obool)), _u9147), _u9146))) | ~hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), _u9146)) )).
% 12.32/12.56 cnf(matrix-4862, plain, ( hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9144, tc_HOL_Obool)), _u9147), _u9146))) | ~hBOOL(hAPP(hAPP(c_member(_u9144), _u9145), _u9147)) )).
% 12.32/12.56 cnf(matrix-4863, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9148, tc_HOL_Obool)), _u9150), _u9151))) | hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), _u9150)) | hBOOL(hAPP(hAPP(c_member(_u9148), _u9149), _u9151)) )).
% 12.32/12.56 cnf(matrix-4864, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), _u9154)) | hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), _u9155)) | hBOOL(hAPP(hAPP(c_member(_u9152), _u9153), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9152, tc_HOL_Obool)), _u9154), _u9155))) )).
% 12.32/12.56 cnf(matrix-4865, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9156, tc_HOL_Obool)), _u9158), _u9159))) | hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), _u9158)) )).
% 12.32/12.56 cnf(matrix-4866, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9156, tc_HOL_Obool)), _u9158), _u9159))) | ~hBOOL(hAPP(hAPP(c_member(_u9156), _u9157), _u9159)) )).
% 12.32/12.56 cnf(matrix-4867, plain, ( hBOOL(hAPP(hAPP(c_member(_u9160), _u9161), _u9162)) | hBOOL(hAPP(hAPP(c_member(_u9160), _u9161), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9160, tc_HOL_Obool)), _u9162))) )).
% 12.32/12.56 cnf(matrix-4868, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), _u9165)) | ~hBOOL(hAPP(hAPP(c_member(_u9166), _u9167), hAPP(_u9168, _u9164))) | hBOOL(hAPP(hAPP(c_member(_u9166), _u9167), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9163, tc_fun(_u9166, tc_HOL_Obool)), _u9165), _u9168))) )).
% 12.32/12.56 cnf(matrix-4869, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9169), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(_u9172, _u9170), _u9173)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9169, tc_fun(_u9174, tc_HOL_Obool)), _u9171), _u9172), _u9173)) )).
% 12.32/12.56 cnf(matrix-4870, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9175), _u9176), hAPP(hAPP(_u9177, _u9178), _u9179))) | hBOOL(hAPP(hAPP(c_member(_u9175), _u9176), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9180, _u9181, tc_fun(_u9175, tc_HOL_Obool)), _u9177), hAPP(hAPP(c_Product__Type_OPair(_u9180, _u9181), _u9178), _u9179)))) )).
% 12.32/12.56 cnf(matrix-4871, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9182, _u9183)), hAPP(hAPP(c_Product__Type_OPair(_u9182, _u9183), _u9184), _u9185)), _u9186)) | hBOOL(hAPP(hAPP(c_member(_u9187), hAPP(hAPP(_u9188, _u9184), _u9185)), hAPP(c_Set_Oimage(tc_prod(_u9182, _u9183), _u9187, hAPP(c_Product__Type_Oprod_Oprod__case(_u9182, _u9183, _u9187), _u9188)), _u9186))) )).
% 12.32/12.56 cnf(matrix-4872, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9189), _u9190), _u9191)) | ( hAPP(hAPP(c_Set_Oinsert(_u9189), _u9190), _u9191) = _u9191) )).
% 12.32/12.56 cnf(matrix-4873, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9192), _u9193), _u9194)) | hBOOL(hAPP(hAPP(c_member(_u9192), _u9193), hAPP(hAPP(c_Set_Oinsert(_u9192), _u9195), _u9194))) )).
% 12.32/12.56 cnf(matrix-4874, plain, ( hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9198)) | hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9199)) | ( hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9198) != hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9199)) | ( _u9198 = _u9199) )).
% 12.32/12.56 cnf(matrix-4875, plain, ( hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9198)) | hBOOL(hAPP(hAPP(c_member(_u9196), _u9197), _u9199)) | ( _u9198 != _u9199) | ( hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9198) = hAPP(hAPP(c_Set_Oinsert(_u9196), _u9197), _u9199)) )).
% 12.32/12.56 cnf(matrix-4876, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9204), _u9206), hAPP(hAPP(c_Set_Oinsert(_u9204), _u9208), _u9210))) | ( _u9206 = _u9208) | hBOOL(hAPP(hAPP(c_member(_u9204), _u9206), _u9210)) )).
% 12.32/12.56 cnf(matrix-4877, plain, ( hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), hAPP(hAPP(c_Set_Oinsert(_u9205), _u9209), _u9211))) | ( _u9207 != _u9209) )).
% 12.32/12.56 cnf(matrix-4878, plain, ( hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), hAPP(hAPP(c_Set_Oinsert(_u9205), _u9209), _u9211))) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), _u9211)) )).
% 12.32/12.56 cnf(matrix-4879, plain, ( hBOOL(hAPP(hAPP(c_member(_u9212), _u9213), hAPP(hAPP(c_Set_Oinsert(_u9212), _u9213), _u9214))) )).
% 12.32/12.56 cnf(matrix-4880, plain, ( hBOOL(hAPP(hAPP(c_member(_u9219), skolem165(_u9221, _u9219)), _u9221)) | ( _u9221 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4881, plain, ( ( _u9222 != c_Orderings_Obot__class_Obot(tc_fun(_u9220, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9220), _u9216), _u9222)) )).
% 12.32/12.56 cnf(matrix-4882, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9227), _u9223), _u9229)) | ( _u9229 != c_Orderings_Obot__class_Obot(tc_fun(_u9227, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4883, plain, ( ( _u9230 = c_Orderings_Obot__class_Obot(tc_fun(_u9228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9228), skolem166(_u9230, _u9228)), _u9230)) )).
% 12.32/12.56 cnf(matrix-4884, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9231), _u9232), c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4885, plain, ( ( _u9233 != c_Orderings_Obot__class_Obot(tc_fun(_u9234, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9234), _u9235), _u9233)) )).
% 12.32/12.56 cnf(matrix-4886, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9236), _u9237), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9236, tc_HOL_Obool)), _u9238), _u9239))) | ~hBOOL(hAPP(hAPP(c_member(_u9236), _u9237), _u9239)) )).
% 12.32/12.56 cnf(matrix-4887, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9240), _u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9240, tc_HOL_Obool)), _u9242), _u9243))) | hBOOL(hAPP(hAPP(c_member(_u9240), _u9241), _u9242)) )).
% 12.32/12.56 cnf(matrix-4888, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9248, tc_HOL_Obool)), _u9252), _u9254))) | hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), _u9252)) )).
% 12.32/12.56 cnf(matrix-4889, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9248, tc_HOL_Obool)), _u9252), _u9254))) | ~hBOOL(hAPP(hAPP(c_member(_u9248), _u9250), _u9254)) )).
% 12.32/12.56 cnf(matrix-4890, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), _u9253)) | hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), _u9255)) | hBOOL(hAPP(hAPP(c_member(_u9249), _u9251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9249, tc_HOL_Obool)), _u9253), _u9255))) )).
% 12.32/12.56 cnf(matrix-4891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9263), _u9265), hAPP(c_Set_Oimage(_u9267, _u9263, _u9269), _u9271))) | hBOOL(hAPP(hAPP(c_member(_u9267), skolem167(_u9271, _u9269, _u9267, _u9265)), _u9271)) )).
% 12.32/12.56 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9263), _u9265), hAPP(c_Set_Oimage(_u9267, _u9263, _u9269), _u9271))) | ( _u9265 = hAPP(_u9269, skolem167(_u9271, _u9269, _u9267, _u9265))) )).
% 12.32/12.56 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9268), _u9257), _u9272)) | ( _u9266 != hAPP(_u9270, _u9257)) | hBOOL(hAPP(hAPP(c_member(_u9264), _u9266), hAPP(c_Set_Oimage(_u9268, _u9264, _u9270), _u9272))) )).
% 12.32/12.56 cnf(matrix-4894, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9273), _u9274), _u9275)) | hBOOL(hAPP(hAPP(c_member(_u9276), hAPP(_u9277, _u9274)), hAPP(c_Set_Oimage(_u9273, _u9276, _u9277), _u9275))) )).
% 12.32/12.56 cnf(matrix-4895, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9278), _u9279), _u9280)) | ( _u9281 != hAPP(_u9282, _u9279)) | hBOOL(hAPP(hAPP(c_member(_u9283), _u9281), hAPP(c_Set_Oimage(_u9278, _u9283, _u9282), _u9280))) )).
% 12.32/12.56 cnf(matrix-4896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9284), _u9285), _u9286)) | hBOOL(hAPP(hAPP(c_member(_u9284), _u9285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9284, tc_HOL_Obool)), _u9287), _u9286))) )).
% 12.32/12.56 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9288), _u9289), _u9290)) | hBOOL(hAPP(hAPP(c_member(_u9288), _u9289), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9288, tc_HOL_Obool)), _u9290), _u9291))) )).
% 12.32/12.56 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9296, tc_HOL_Obool)), _u9300), _u9302))) | hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), _u9300)) | hBOOL(hAPP(hAPP(c_member(_u9296), _u9298), _u9302)) )).
% 12.32/12.56 cnf(matrix-4899, plain, ( hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9297, tc_HOL_Obool)), _u9301), _u9303))) | ~hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), _u9301)) )).
% 12.32/12.56 cnf(matrix-4900, plain, ( hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9297, tc_HOL_Obool)), _u9301), _u9303))) | ~hBOOL(hAPP(hAPP(c_member(_u9297), _u9299), _u9303)) )).
% 12.32/12.56 cnf(matrix-4901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9304, tc_HOL_Obool)), _u9305), _u9306)) | ~hBOOL(hAPP(hAPP(c_member(_u9304), _u9307), _u9305)) | hBOOL(hAPP(hAPP(c_member(_u9304), _u9307), _u9306)) )).
% 12.32/12.56 cnf(matrix-4902, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9308), _u9309), _u9310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9308, tc_HOL_Obool)), _u9310), _u9311)) | hBOOL(hAPP(hAPP(c_member(_u9308), _u9309), _u9311)) )).
% 12.32/12.56 cnf(matrix-4903, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9312, tc_HOL_Obool)), _u9313), _u9314)) | ~hBOOL(hAPP(hAPP(c_member(_u9312), _u9315), _u9313)) | hBOOL(hAPP(hAPP(c_member(_u9312), _u9315), _u9314)) )).
% 12.32/12.56 cnf(matrix-4904, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9319), _u9321), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9319, tc_HOL_Obool)), _u9323))) | ~hBOOL(hAPP(hAPP(c_member(_u9319), _u9321), _u9323)) )).
% 12.32/12.56 cnf(matrix-4905, plain, ( hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9324)) | hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9320, tc_HOL_Obool)), _u9324))) )).
% 12.32/12.56 cnf(matrix-4906, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9326), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9325, tc_HOL_Obool)), _u9327))) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9326), _u9327)) )).
% 12.32/12.56 cnf(matrix-4907, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9329), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9328, tc_HOL_Obool)), _u9330))) | ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9329), _u9330)) )).
% 12.32/12.56 cnf(matrix-4908, plain, ( ( _u9336 = _u9338) | ( hAPP(hAPP(c_COMBC(_u9334, tc_fun(_u9334, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9334)), _u9336) != hAPP(hAPP(c_COMBC(_u9334, tc_fun(_u9334, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9334)), _u9338)) )).
% 12.32/12.56 cnf(matrix-4909, plain, ( ( _u9337 != _u9339) | ( hAPP(hAPP(c_COMBC(_u9335, tc_fun(_u9335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9335)), _u9337) = hAPP(hAPP(c_COMBC(_u9335, tc_fun(_u9335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9335)), _u9339)) )).
% 12.32/12.56 cnf(matrix-4910, plain, ( ( _u9345 = _u9347) | ~hBOOL(hAPP(hAPP(c_member(_u9343), _u9345), hAPP(c_fequal, _u9347))) )).
% 12.32/12.56 cnf(matrix-4911, plain, ( ( _u9346 != _u9348) | hBOOL(hAPP(hAPP(c_member(_u9344), _u9346), hAPP(c_fequal, _u9348))) )).
% 12.32/12.56 cnf(matrix-4912, plain, ( hBOOL(hAPP(_u9356, _u9354)) | ~hBOOL(hAPP(hAPP(c_member(_u9352), _u9354), _u9356)) )).
% 12.32/12.56 cnf(matrix-4913, plain, ( ~hBOOL(hAPP(_u9357, _u9355)) | hBOOL(hAPP(hAPP(c_member(_u9353), _u9355), _u9357)) )).
% 12.32/12.56 cnf(matrix-4914, plain, ( ( _u9358 != _u9359) | ~hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9358)) | hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9359)) )).
% 12.32/12.56 cnf(matrix-4915, plain, ( ( _u9358 != _u9359) | ~hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9359)) | hBOOL(hAPP(hAPP(c_member(_u9360), _u9361), _u9358)) )).
% 12.32/12.56 cnf(matrix-4916, plain, ( ( _u9362 != _u9363) | ~hBOOL(hAPP(hAPP(c_member(_u9364), _u9362), _u9365)) | hBOOL(hAPP(hAPP(c_member(_u9364), _u9363), _u9365)) )).
% 12.32/12.56 cnf(matrix-4917, plain, ( ( _u9362 != _u9363) | ~hBOOL(hAPP(hAPP(c_member(_u9364), _u9363), _u9365)) | hBOOL(hAPP(hAPP(c_member(_u9364), _u9362), _u9365)) )).
% 12.32/12.56 cnf(matrix-4918, plain, ( ( _u9366 != _u9367) | ~hBOOL(hAPP(hAPP(c_member(_u9368), _u9367), _u9369)) | hBOOL(hAPP(hAPP(c_member(_u9368), _u9366), _u9369)) )).
% 12.32/12.56 cnf(matrix-4919, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9373), _u9375), c_Option_Oset(_u9373, _u9377))) | ( _u9377 = hAPP(c_Option_Ooption_OSome(_u9373), _u9375)) )).
% 12.32/12.56 cnf(matrix-4920, plain, ( ( _u9378 != hAPP(c_Option_Ooption_OSome(_u9374), _u9376)) | hBOOL(hAPP(hAPP(c_member(_u9374), _u9376), c_Option_Oset(_u9374, _u9378))) )).
% 12.32/12.56 cnf(matrix-4921, plain, ( ( hAPP(c_Int_ORep__Integ, _u9381) != hAPP(c_Int_ORep__Integ, _u9383)) | ( _u9381 = _u9383) )).
% 12.32/12.56 cnf(matrix-4922, plain, ( ( _u9382 != _u9384) | ( hAPP(c_Int_ORep__Integ, _u9382) = hAPP(c_Int_ORep__Integ, _u9384)) )).
% 12.32/12.56 cnf(matrix-4923, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9391), _u9393), c_SetInterval_Oord_OatLeastLessThan(_u9391, _u9395, _u9397, _u9399, _u9401))) | hBOOL(hAPP(hAPP(_u9395, _u9399), _u9393)) )).
% 12.32/12.56 cnf(matrix-4924, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9391), _u9393), c_SetInterval_Oord_OatLeastLessThan(_u9391, _u9395, _u9397, _u9399, _u9401))) | hBOOL(hAPP(hAPP(_u9397, _u9393), _u9401)) )).
% 12.32/12.56 cnf(matrix-4925, plain, ( ~hBOOL(hAPP(hAPP(_u9396, _u9400), _u9394)) | ~hBOOL(hAPP(hAPP(_u9398, _u9394), _u9402)) | hBOOL(hAPP(hAPP(c_member(_u9392), _u9394), c_SetInterval_Oord_OatLeastLessThan(_u9392, _u9396, _u9398, _u9400, _u9402))) )).
% 12.32/12.56 cnf(matrix-4926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9403, tc_HOL_Obool)), _u9404), _u9405)) | ~hBOOL(hAPP(hAPP(c_member(_u9403), _u9406), _u9404)) | hBOOL(hAPP(hAPP(c_member(_u9403), _u9406), _u9405)) )).
% 12.32/12.56 cnf(matrix-4927, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)), _u9411)) | hBOOL(hAPP(hAPP(c_member(_u9409), _u9411), c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4928, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9410), _u9412), c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool)), _u9412)) )).
% 12.32/12.56 cnf(matrix-4929, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9418), _u9420), c_SetInterval_Oord_OatLeastAtMost(_u9418, _u9422, _u9424, _u9426))) | hBOOL(hAPP(hAPP(_u9422, _u9424), _u9420)) )).
% 12.32/12.56 cnf(matrix-4930, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9418), _u9420), c_SetInterval_Oord_OatLeastAtMost(_u9418, _u9422, _u9424, _u9426))) | hBOOL(hAPP(hAPP(_u9422, _u9420), _u9426)) )).
% 12.32/12.56 cnf(matrix-4931, plain, ( ~hBOOL(hAPP(hAPP(_u9423, _u9425), _u9421)) | ~hBOOL(hAPP(hAPP(_u9423, _u9421), _u9427)) | hBOOL(hAPP(hAPP(c_member(_u9419), _u9421), c_SetInterval_Oord_OatLeastAtMost(_u9419, _u9423, _u9425, _u9427))) )).
% 12.32/12.56 cnf(matrix-4932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9431, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9431, tc_fun(_u9431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9431)), _u9433)), hAPP(hAPP(c_COMBC(_u9431, tc_fun(_u9431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9431)), _u9435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9431, tc_HOL_Obool)), _u9433), _u9435)) )).
% 12.32/12.56 cnf(matrix-4933, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9432, tc_HOL_Obool)), _u9434), _u9436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9432, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9432, tc_fun(_u9432, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9432)), _u9434)), hAPP(hAPP(c_COMBC(_u9432, tc_fun(_u9432, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9432)), _u9436))) )).
% 12.32/12.56 cnf(matrix-4934, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9441, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9441, tc_fun(_u9441, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9441)), _u9443)), hAPP(hAPP(c_COMBC(_u9441, tc_fun(_u9441, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9441)), _u9445)), _u9447)) | hBOOL(hAPP(hAPP(c_member(_u9441), _u9447), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9441, tc_HOL_Obool)), _u9443), _u9445))) )).
% 12.32/12.56 cnf(matrix-4935, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9442), _u9448), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9442, tc_HOL_Obool)), _u9444), _u9446))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9442, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9442, tc_fun(_u9442, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9442)), _u9444)), hAPP(hAPP(c_COMBC(_u9442, tc_fun(_u9442, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9442)), _u9446)), _u9448)) )).
% 12.32/12.56 cnf(matrix-4936, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9460, tc_fun(_u9456, tc_HOL_Obool)), _u9462), _u9464))) | hBOOL(hAPP(hAPP(c_member(_u9460), skolem168(_u9464, _u9462, _u9460, _u9458, _u9456)), _u9462)) )).
% 12.32/12.56 cnf(matrix-4937, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9460, tc_fun(_u9456, tc_HOL_Obool)), _u9462), _u9464))) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9458), hAPP(_u9464, skolem168(_u9464, _u9462, _u9460, _u9458, _u9456)))) )).
% 12.32/12.56 cnf(matrix-4938, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9461), _u9450), _u9463)) | ~hBOOL(hAPP(hAPP(c_member(_u9457), _u9459), hAPP(_u9465, _u9450))) | hBOOL(hAPP(hAPP(c_member(_u9457), _u9459), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9461, tc_fun(_u9457, tc_HOL_Obool)), _u9463), _u9465))) )).
% 12.32/12.56 cnf(matrix-4939, plain, ( ( _u9467 = _u9468) | ~hBOOL(hAPP(hAPP(c_member(_u9466), _u9467), hAPP(hAPP(c_Set_Oinsert(_u9466), _u9468), c_Orderings_Obot__class_Obot(tc_fun(_u9466, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4940, plain, ( ( _u9474 = _u9476) | ~hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), hAPP(hAPP(c_Set_Oinsert(_u9472), _u9476), c_Orderings_Obot__class_Obot(tc_fun(_u9472, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4941, plain, ( ( _u9475 != _u9477) | hBOOL(hAPP(hAPP(c_member(_u9473), _u9475), hAPP(hAPP(c_Set_Oinsert(_u9473), _u9477), c_Orderings_Obot__class_Obot(tc_fun(_u9473, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4942, plain, ( hBOOL(hAPP(hAPP(c_member(_u9478), _u9479), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), hAPP(hAPP(c_Set_Oinsert(_u9478), _u9479), _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), _u9481)) )).
% 12.32/12.56 cnf(matrix-4943, plain, ( hBOOL(hAPP(hAPP(c_member(_u9478), _u9479), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), _u9481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9478, tc_HOL_Obool)), _u9480), hAPP(hAPP(c_Set_Oinsert(_u9478), _u9479), _u9481))) )).
% 12.32/12.56 cnf(matrix-4944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9490)), _u9492)) | hBOOL(hAPP(hAPP(c_member(_u9486), _u9488), _u9492)) )).
% 12.32/12.56 cnf(matrix-4945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9490)), _u9492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9486, tc_HOL_Obool)), _u9490), _u9492)) )).
% 12.32/12.56 cnf(matrix-4946, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9487), _u9489), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9487, tc_HOL_Obool)), _u9491), _u9493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9487, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9487), _u9489), _u9491)), _u9493)) )).
% 12.32/12.56 cnf(matrix-4947, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9494), _u9495), _u9496)) | ( hAPP(hAPP(c_Set_Oinsert(_u9497), hAPP(_u9498, _u9495)), hAPP(c_Set_Oimage(_u9494, _u9497, _u9498), _u9496)) = hAPP(c_Set_Oimage(_u9494, _u9497, _u9498), _u9496)) )).
% 12.32/12.56 cnf(matrix-4948, plain, ( ( _u9499 != hAPP(_u9500, _u9501)) | hBOOL(hAPP(hAPP(c_member(_u9502), _u9499), hAPP(c_Set_Oimage(_u9503, _u9502, _u9500), c_Orderings_Otop__class_Otop(tc_fun(_u9503, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4949, plain, ( hBOOL(hAPP(hAPP(c_member(_u9504), hAPP(_u9505, _u9506)), hAPP(c_Set_Oimage(_u9507, _u9504, _u9505), c_Orderings_Otop__class_Otop(tc_fun(_u9507, tc_HOL_Obool))))) )).
% 12.32/12.56 cnf(matrix-4950, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9512), _u9514), _u9516)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9512, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9512), _u9514), _u9518)), _u9516) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9512, tc_HOL_Obool)), _u9518), _u9516)) )).
% 12.32/12.56 cnf(matrix-4951, plain, ( hBOOL(hAPP(hAPP(c_member(_u9513), _u9515), _u9517)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9513, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9513), _u9515), _u9519)), _u9517) = hAPP(hAPP(c_Set_Oinsert(_u9513), _u9515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9513, tc_HOL_Obool)), _u9519), _u9517))) )).
% 12.32/12.56 cnf(matrix-4952, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9520), _u9521), _u9522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9520, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9520), _u9521), _u9523)), _u9522) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9520, tc_HOL_Obool)), _u9523), _u9522)) )).
% 12.32/12.56 cnf(matrix-4953, plain, ( ~class_Orderings_Oord(_u9524) | ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), hAPP(c_SetInterval_Oord__class_OlessThan(_u9524), _u9526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9524), _u9525), _u9526)) )).
% 12.32/12.56 cnf(matrix-4954, plain, ( ~class_Orderings_Oord(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9524), _u9525), _u9526)) | hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), hAPP(c_SetInterval_Oord__class_OlessThan(_u9524), _u9526))) )).
% 12.32/12.56 cnf(matrix-4955, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9534), c_SetInterval_Oord_OgreaterThanLessThan(_u9532, _u9536, _u9538, _u9540))) | hBOOL(hAPP(hAPP(_u9536, _u9538), _u9534)) )).
% 12.32/12.56 cnf(matrix-4956, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9534), c_SetInterval_Oord_OgreaterThanLessThan(_u9532, _u9536, _u9538, _u9540))) | hBOOL(hAPP(hAPP(_u9536, _u9534), _u9540)) )).
% 12.32/12.56 cnf(matrix-4957, plain, ( ~hBOOL(hAPP(hAPP(_u9537, _u9539), _u9535)) | ~hBOOL(hAPP(hAPP(_u9537, _u9535), _u9541)) | hBOOL(hAPP(hAPP(c_member(_u9533), _u9535), c_SetInterval_Oord_OgreaterThanLessThan(_u9533, _u9537, _u9539, _u9541))) )).
% 12.32/12.56 cnf(matrix-4958, plain, ( ~class_Orderings_Oord(_u9542) | ~hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), hAPP(c_SetInterval_Oord__class_OatMost(_u9542), _u9544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9542), _u9543), _u9544)) )).
% 12.32/12.56 cnf(matrix-4959, plain, ( ~class_Orderings_Oord(_u9542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9542), _u9543), _u9544)) | hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), hAPP(c_SetInterval_Oord__class_OatMost(_u9542), _u9544))) )).
% 12.32/12.56 cnf(matrix-4960, plain, ( ~class_Orderings_Oord(_u9545) | ~hBOOL(hAPP(hAPP(c_member(_u9545), _u9546), hAPP(c_SetInterval_Oord__class_OatLeast(_u9545), _u9547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9545), _u9547), _u9546)) )).
% 12.32/12.56 cnf(matrix-4961, plain, ( ~class_Orderings_Oord(_u9545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9545), _u9547), _u9546)) | hBOOL(hAPP(hAPP(c_member(_u9545), _u9546), hAPP(c_SetInterval_Oord__class_OatLeast(_u9545), _u9547))) )).
% 12.32/12.56 cnf(matrix-4962, plain, ( ~class_Orderings_Oord(_u9548) | ~hBOOL(hAPP(hAPP(c_member(_u9548), _u9549), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9548), _u9550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9548), _u9550), _u9549)) )).
% 12.32/12.56 cnf(matrix-4963, plain, ( ~class_Orderings_Oord(_u9548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9548), _u9550), _u9549)) | hBOOL(hAPP(hAPP(c_member(_u9548), _u9549), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9548), _u9550))) )).
% 12.32/12.56 cnf(matrix-4964, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9551) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9553), _u9554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9551), hAPP(_u9555, _u9553)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9552, _u9551), _u9554), _u9555))) )).
% 12.32/12.56 cnf(matrix-4965, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9556), _u9557), _u9558)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9556, tc_fun(_u9559, tc_HOL_Obool)), _u9558), hAPP(hAPP(c_COMBB(tc_fun(_u9559, tc_HOL_Obool), tc_fun(_u9559, tc_HOL_Obool), _u9556), hAPP(c_Set_Oinsert(_u9559), _u9560)), _u9561)) = hAPP(hAPP(c_Set_Oinsert(_u9559), _u9560), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9556, tc_fun(_u9559, tc_HOL_Obool)), _u9558), _u9561))) )).
% 12.32/12.56 cnf(matrix-4966, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9563), _u9564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9565, tc_HOL_Obool)), hAPP(_u9566, _u9563)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9562, tc_fun(_u9565, tc_HOL_Obool)), _u9564), _u9566))) )).
% 12.32/12.56 cnf(matrix-4967, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9571, tc_fun(_u9573, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9571, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9573, tc_HOL_Obool), tc_fun(_u9573, tc_HOL_Obool), _u9571), hAPP(c_COMBC(_u9573, tc_fun(_u9573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9573))), _u9575)), _u9577)) | hBOOL(hAPP(hAPP(c_member(_u9573), _u9577), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9571, tc_fun(_u9573, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9571, tc_HOL_Obool))), _u9575))) )).
% 12.32/12.56 cnf(matrix-4968, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9574), _u9578), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9572, tc_fun(_u9574, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9572, tc_HOL_Obool))), _u9576))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9572, tc_fun(_u9574, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9572, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9574, tc_HOL_Obool), tc_fun(_u9574, tc_HOL_Obool), _u9572), hAPP(c_COMBC(_u9574, tc_fun(_u9574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9574))), _u9576)), _u9578)) )).
% 12.32/12.56 cnf(matrix-4969, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9579), _u9580), _u9581)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9582, tc_HOL_Obool)), hAPP(_u9583, _u9580)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9579, tc_fun(_u9582, tc_HOL_Obool)), _u9581), _u9583)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9579, tc_fun(_u9582, tc_HOL_Obool)), _u9581), _u9583)) )).
% 12.32/12.56 cnf(matrix-4970, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9584), _u9585), _u9586)) | ( hAPP(hAPP(c_Set_Oinsert(_u9584), _u9585), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9584, tc_HOL_Obool)), _u9586), hAPP(hAPP(c_Set_Oinsert(_u9584), _u9585), c_Orderings_Obot__class_Obot(tc_fun(_u9584, tc_HOL_Obool))))) = _u9586) )).
% 12.32/12.56 cnf(matrix-4971, plain, ( hBOOL(hAPP(hAPP(c_member(_u9587), _u9588), _u9589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9587, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9587), _u9588), _u9589)), hAPP(hAPP(c_Set_Oinsert(_u9587), _u9588), c_Orderings_Obot__class_Obot(tc_fun(_u9587, tc_HOL_Obool)))) = _u9589) )).
% 12.32/12.56 cnf(matrix-4972, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9591), _u9592)) | ( hAPP(c_Set_Oimage(_u9590, _u9593, hAPP(c_COMBK(_u9593, _u9590), _u9594)), _u9592) = hAPP(hAPP(c_Set_Oinsert(_u9593), _u9594), c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-4973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), _u9605))) | ~hBOOL(hAPP(hAPP(c_member(_u9599), _u9603), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), c_Orderings_Obot__class_Obot(tc_fun(_u9599, tc_HOL_Obool))))), _u9605)) )).
% 12.32/12.56 cnf(matrix-4974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_Set_Oinsert(_u9599), _u9603), _u9605))) | hBOOL(hAPP(hAPP(c_member(_u9599), _u9603), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9599, tc_HOL_Obool)), _u9601), _u9605)) )).
% 12.32/12.56 cnf(matrix-4975, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | hBOOL(hAPP(hAPP(c_member(_u9600), _u9604), _u9602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), _u9606)) )).
% 12.32/12.56 cnf(matrix-4976, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), c_Orderings_Obot__class_Obot(tc_fun(_u9600, tc_HOL_Obool))))), _u9606)) | ~hBOOL(hAPP(hAPP(c_member(_u9600), _u9604), _u9602)) )).
% 12.32/12.56 cnf(matrix-4977, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), _u9606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9600, tc_HOL_Obool)), _u9602), hAPP(hAPP(c_Set_Oinsert(_u9600), _u9604), c_Orderings_Obot__class_Obot(tc_fun(_u9600, tc_HOL_Obool))))), _u9606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9600, tc_HOL_Obool)), _u9602), _u9606)) )).
% 12.32/12.56 cnf(matrix-4978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9607, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9607, tc_HOL_Obool)), _u9608), hAPP(hAPP(c_Set_Oinsert(_u9607), _u9609), c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool))))), _u9610)) | ~hBOOL(hAPP(hAPP(c_member(_u9607), _u9609), _u9608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9607, tc_HOL_Obool)), _u9608), hAPP(hAPP(c_Set_Oinsert(_u9607), _u9609), _u9610))) )).
% 12.32/12.56 cnf(matrix-4979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | ~hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), _u9621)) )).
% 12.32/12.56 cnf(matrix-4980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | ~hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), c_Orderings_Obot__class_Obot(tc_fun(_u9615, tc_HOL_Obool))))), _u9621)) )).
% 12.32/12.56 cnf(matrix-4981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9615, tc_HOL_Obool)), _u9617), hAPP(hAPP(c_Set_Oinsert(_u9615), _u9619), _u9621))) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9621)) | hBOOL(hAPP(hAPP(c_member(_u9615), _u9619), _u9617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9615, tc_HOL_Obool)), _u9617), _u9621)) )).
% 12.32/12.56 cnf(matrix-4982, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.56 cnf(matrix-4983, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) )).
% 12.32/12.56 cnf(matrix-4984, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.56 cnf(matrix-4985, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9622)) )).
% 12.32/12.56 cnf(matrix-4986, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.56 cnf(matrix-4987, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_member(_u9616), _u9620), _u9618)) )).
% 12.32/12.56 cnf(matrix-4988, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), _u9622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9616, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9616, tc_HOL_Obool)), _u9618), hAPP(hAPP(c_Set_Oinsert(_u9616), _u9620), c_Orderings_Obot__class_Obot(tc_fun(_u9616, tc_HOL_Obool))))), _u9622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9616, tc_HOL_Obool)), _u9618), _u9622)) )).
% 12.32/12.56 cnf(matrix-4989, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9627), _u9629), _u9631)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9627, tc_Nat_Onat), _u9633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9627, tc_HOL_Obool)), _u9631), hAPP(hAPP(c_Set_Oinsert(_u9627), _u9629), c_Orderings_Obot__class_Obot(tc_fun(_u9627, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9627, tc_Nat_Onat), _u9633), _u9631)), hAPP(_u9633, _u9629))) )).
% 12.32/12.56 cnf(matrix-4990, plain, ( hBOOL(hAPP(hAPP(c_member(_u9628), _u9630), _u9632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9628, tc_Nat_Onat), _u9634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9628, tc_HOL_Obool)), _u9632), hAPP(hAPP(c_Set_Oinsert(_u9628), _u9630), c_Orderings_Obot__class_Obot(tc_fun(_u9628, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9628, tc_Nat_Onat), _u9634), _u9632)) )).
% 12.32/12.56 cnf(matrix-4991, plain, ( ( c_Option_Oset(_u9637, _u9639) != c_Orderings_Obot__class_Obot(tc_fun(_u9637, tc_HOL_Obool))) | ( _u9639 = c_Option_Ooption_ONone(_u9637)) )).
% 12.32/12.56 cnf(matrix-4992, plain, ( ( _u9640 != c_Option_Ooption_ONone(_u9638)) | ( c_Option_Oset(_u9638, _u9640) = c_Orderings_Obot__class_Obot(tc_fun(_u9638, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4993, plain, ( ( c_Option_Oset(_u9641, c_Option_Ooption_ONone(_u9641)) = c_Orderings_Obot__class_Obot(tc_fun(_u9641, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4994, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9642), _u9643)) | ( 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)))), _u9643, _u9642) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-4995, 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)))), _u9646, _u9648) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9646), _u9648)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9648), _u9646)) )).
% 12.32/12.56 cnf(matrix-4996, 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)))), _u9647, _u9649) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9647), _u9649)) )).
% 12.32/12.56 cnf(matrix-4997, 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)))), _u9647, _u9649) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9649), _u9647)) )).
% 12.32/12.56 cnf(matrix-4998, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Int_Oint), _u9653), _u9652) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9651), c_Int_Onat), _u9653)), _u9652))) | hBOOL(hAPP(hAPP(c_member(_u9651), skolem169(_u9653, _u9652, _u9651)), _u9652)) )).
% 12.32/12.56 cnf(matrix-4999, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Int_Oint), _u9653), _u9652) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9651, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9651), c_Int_Onat), _u9653)), _u9652))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9653, skolem169(_u9653, _u9652, _u9651))) )).
% 12.32/12.56 cnf(matrix-5000, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9654), _u9655), _u9656)) | ~c_Nitpick_Ofold__graph_H(_u9654, _u9657, _u9658, _u9659, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9654, tc_HOL_Obool)), _u9656), hAPP(hAPP(c_Set_Oinsert(_u9654), _u9655), c_Orderings_Obot__class_Obot(tc_fun(_u9654, tc_HOL_Obool)))), _u9660) | c_Nitpick_Ofold__graph_H(_u9654, _u9657, _u9658, _u9659, _u9656, hAPP(hAPP(_u9658, _u9655), _u9660)) )).
% 12.32/12.56 cnf(matrix-5001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9664, tc_HOL_Obool)), _u9666), hAPP(hAPP(c_Set_Oinsert(_u9664), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9664, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u9664, _u9668, _u9666) = _u9668) )).
% 12.32/12.56 cnf(matrix-5002, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9669), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u9665, _u9669, _u9667) = c_HOL_OThe(_u9665, hAPP(hAPP(c_COMBC(_u9665, tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9665)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9669), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))))) )).
% 12.32/12.56 cnf(matrix-5003, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | ~hBOOL(hAPP(hAPP(c_member(_u9670), _u9672), _u9671)) | ( hAPP(c_Finite__Set_Ocard(_u9670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9670, tc_HOL_Obool)), _u9671), hAPP(hAPP(c_Set_Oinsert(_u9670), _u9672), c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9670), _u9671)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.56 cnf(matrix-5004, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | hBOOL(hAPP(hAPP(c_member(_u9670), _u9672), _u9671)) | ( hAPP(c_Finite__Set_Ocard(_u9670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9670, tc_HOL_Obool)), _u9671), hAPP(hAPP(c_Set_Oinsert(_u9670), _u9672), c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9670), _u9671)) )).
% 12.32/12.56 cnf(matrix-5005, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9673), _u9674))) )).
% 12.32/12.56 cnf(matrix-5006, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9675, _u9676))) )).
% 12.32/12.56 cnf(matrix-5007, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9677, _u9678))) )).
% 12.32/12.56 cnf(matrix-5008, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9679))) )).
% 12.32/12.56 cnf(matrix-5009, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u9680))) )).
% 12.32/12.56 cnf(matrix-5010, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u9681), _u9682))) )).
% 12.32/12.56 cnf(matrix-5011, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9683, _u9684))) )).
% 12.32/12.56 cnf(matrix-5012, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9685, _u9686))) )).
% 12.32/12.56 cnf(matrix-5013, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9687, _u9688))) )).
% 12.32/12.56 cnf(matrix-5014, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9689, _u9690))) )).
% 12.32/12.56 cnf(matrix-5015, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9691), c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5016, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9692), _u9693)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9692), hAPP(hAPP(c_Set_Oinsert(_u9692), _u9694), _u9693))) )).
% 12.32/12.56 cnf(matrix-5017, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9695), _u9696)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9697), hAPP(c_Set_Oimage(_u9695, _u9697, _u9698), _u9696))) )).
% 12.32/12.56 cnf(matrix-5018, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9699), _u9700)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9699, tc_HOL_Obool)), _u9700), _u9701))) )).
% 12.32/12.56 cnf(matrix-5019, plain, ( ~class_Finite__Set_Ofinite(_u9702) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), c_Orderings_Otop__class_Otop(tc_fun(_u9702, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5020, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5021, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9705, _u9707)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9705, _u9707), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9705), c_Orderings_Otop__class_Otop(tc_fun(_u9705, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5022, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9705, _u9707)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9705, _u9707), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9707), c_Orderings_Otop__class_Otop(tc_fun(_u9707, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5023, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9706), c_Orderings_Otop__class_Otop(tc_fun(_u9706, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9708), c_Orderings_Otop__class_Otop(tc_fun(_u9708, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9706, _u9708)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9706, _u9708), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9712), hAPP(hAPP(c_Set_Oinsert(_u9712), _u9714), _u9716))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9712), _u9716)) )).
% 12.32/12.56 cnf(matrix-5025, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9717)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), _u9717))) )).
% 12.32/12.56 cnf(matrix-5026, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), c_Orderings_Otop__class_Otop(tc_fun(_u9719, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9718, _u9719)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u9718, _u9719), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5027, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9720), c_Orderings_Otop__class_Otop(tc_fun(_u9720, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9721), c_Orderings_Otop__class_Otop(tc_fun(_u9721, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u9720, _u9721)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u9720, _u9721), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5028, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9722), c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5029, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | ~hBOOL(hAPP(hAPP(c_member(_u9725), _u9723), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(_u9728, _u9723))) )).
% 12.32/12.56 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | hBOOL(hAPP(hAPP(c_member(_u9725), skolem170(_u9728, _u9727, _u9726, _u9725)), _u9726)) )).
% 12.32/12.56 cnf(matrix-5031, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9725), _u9726)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9725, tc_fun(_u9727, tc_HOL_Obool)), _u9726), _u9728))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), hAPP(_u9728, skolem170(_u9728, _u9727, _u9726, _u9725)))) )).
% 12.32/12.56 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9731), _u9733)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9731)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9733))) )).
% 12.32/12.56 cnf(matrix-5033, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9732)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9734))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9732), _u9734)) )).
% 12.32/12.56 cnf(matrix-5034, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, tc_fun(_u9746, tc_fun(_u9748, tc_HOL_Obool))), _u9750), _u9752), _u9754), _u9756)) | hBOOL(hAPP(hAPP(c_member(_u9744), skolem171(_u9756, _u9754, _u9752, _u9750, _u9748, _u9746, _u9744)), _u9750)) )).
% 12.32/12.56 cnf(matrix-5035, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, tc_fun(_u9746, tc_fun(_u9748, tc_HOL_Obool))), _u9750), _u9752), _u9754), _u9756)) | hBOOL(hAPP(hAPP(hAPP(_u9752, skolem171(_u9756, _u9754, _u9752, _u9750, _u9748, _u9746, _u9744)), _u9754), _u9756)) )).
% 12.32/12.56 cnf(matrix-5036, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9745), _u9736), _u9751)) | ~hBOOL(hAPP(hAPP(hAPP(_u9753, _u9736), _u9755), _u9757)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9745, tc_fun(_u9747, tc_fun(_u9749, tc_HOL_Obool))), _u9751), _u9753), _u9755), _u9757)) )).
% 12.32/12.56 cnf(matrix-5037, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9763)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9758), _u9763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9758), skolem172(_u9763))) )).
% 12.32/12.56 cnf(matrix-5038, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9764)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem173(_u9764, _u9761)), _u9764)) )).
% 12.32/12.56 cnf(matrix-5039, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem173(_u9764, _u9761)), _u9761)) )).
% 12.32/12.56 cnf(matrix-5040, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9765), _u9770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9765), skolem174(_u9770))) )).
% 12.32/12.56 cnf(matrix-5041, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9771)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem175(_u9771, _u9768)), _u9771)) )).
% 12.32/12.56 cnf(matrix-5042, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem175(_u9771, _u9768)), _u9768)) )).
% 12.32/12.56 cnf(matrix-5043, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9775, tc_HOL_Obool)), _u9777), _u9779))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), _u9777)) )).
% 12.32/12.56 cnf(matrix-5044, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9775, tc_HOL_Obool)), _u9777), _u9779))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9775), _u9779)) )).
% 12.32/12.56 cnf(matrix-5045, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9780)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9776, tc_HOL_Obool)), _u9778), _u9780))) )).
% 12.32/12.56 cnf(matrix-5046, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), _u9782)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), _u9783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9781, tc_HOL_Obool)), _u9782), _u9783))) )).
% 12.32/12.56 cnf(matrix-5047, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9784), _u9785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9784, tc_HOL_Obool)), _u9786), _u9785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9784), _u9786)) )).
% 12.32/12.56 cnf(matrix-5048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9787, tc_HOL_Obool)), _u9788), _u9789)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9789)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9788)) )).
% 12.32/12.56 cnf(matrix-5049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9791)) | 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)), _u9791))) )).
% 12.32/12.56 cnf(matrix-5050, 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)), _u9792))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9792)) )).
% 12.32/12.56 cnf(matrix-5051, plain, ( ~class_Finite__Set_Ofinite(_u9793) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9793), _u9794)) )).
% 12.32/12.56 cnf(matrix-5052, plain, ( ~class_Finite__Set_Ofinite(_u9795) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9795), _u9796)) )).
% 12.32/12.56 cnf(matrix-5053, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9799)) )).
% 12.32/12.56 cnf(matrix-5054, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9799)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798))) )).
% 12.32/12.56 cnf(matrix-5055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9804, tc_fun(_u9806, tc_HOL_Obool))), _u9808), _u9810)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9804, _u9806)), hAPP(hAPP(c_Product__Type_OPair(_u9804, _u9806), _u9808), _u9810)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9804, _u9806), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5056, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9805, _u9807)), hAPP(hAPP(c_Product__Type_OPair(_u9805, _u9807), _u9809), _u9811)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9805, _u9807), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9805, tc_fun(_u9807, tc_HOL_Obool))), _u9809), _u9811)) )).
% 12.32/12.56 cnf(matrix-5057, plain, ( ( _u9820 = _u9822) | ( hAPP(hAPP(c_COMBC(_u9816, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9816), c_COMBC(_u9818, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_prod(_u9816, _u9818)), tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), _u9816), hAPP(c_COMBB(tc_prod(_u9816, _u9818), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool), _u9818), c_member(tc_prod(_u9816, _u9818)))), c_Product__Type_OPair(_u9816, _u9818)))), _u9820) != hAPP(hAPP(c_COMBC(_u9816, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9816), c_COMBC(_u9818, tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_prod(_u9816, _u9818)), tc_fun(_u9818, tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool)), _u9816), hAPP(c_COMBB(tc_prod(_u9816, _u9818), tc_fun(tc_fun(tc_prod(_u9816, _u9818), tc_HOL_Obool), tc_HOL_Obool), _u9818), c_member(tc_prod(_u9816, _u9818)))), c_Product__Type_OPair(_u9816, _u9818)))), _u9822)) )).
% 12.32/12.56 cnf(matrix-5058, plain, ( ( _u9821 != _u9823) | ( hAPP(hAPP(c_COMBC(_u9817, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), _u9817), c_COMBC(_u9819, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_prod(_u9817, _u9819)), tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), _u9817), hAPP(c_COMBB(tc_prod(_u9817, _u9819), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool), _u9819), c_member(tc_prod(_u9817, _u9819)))), c_Product__Type_OPair(_u9817, _u9819)))), _u9821) = hAPP(hAPP(c_COMBC(_u9817, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_fun(_u9819, tc_HOL_Obool)), _u9817), c_COMBC(_u9819, tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9819, tc_prod(_u9817, _u9819)), tc_fun(_u9819, tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool)), _u9817), hAPP(c_COMBB(tc_prod(_u9817, _u9819), tc_fun(tc_fun(tc_prod(_u9817, _u9819), tc_HOL_Obool), tc_HOL_Obool), _u9819), c_member(tc_prod(_u9817, _u9819)))), c_Product__Type_OPair(_u9817, _u9819)))), _u9823)) )).
% 12.32/12.56 cnf(matrix-5059, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9830, tc_fun(_u9832, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9830, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), _u9830), c_COMBC(_u9832, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_prod(_u9830, _u9832)), tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), _u9830), hAPP(c_COMBB(tc_prod(_u9830, _u9832), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool), _u9832), c_member(tc_prod(_u9830, _u9832)))), c_Product__Type_OPair(_u9830, _u9832)))), _u9834)), hAPP(hAPP(c_COMBC(_u9830, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_fun(_u9832, tc_HOL_Obool)), _u9830), c_COMBC(_u9832, tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9832, tc_prod(_u9830, _u9832)), tc_fun(_u9832, tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool)), _u9830), hAPP(c_COMBB(tc_prod(_u9830, _u9832), tc_fun(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool), tc_HOL_Obool), _u9832), c_member(tc_prod(_u9830, _u9832)))), c_Product__Type_OPair(_u9830, _u9832)))), _u9836)), _u9838), _u9840)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9830, _u9832)), hAPP(hAPP(c_Product__Type_OPair(_u9830, _u9832), _u9838), _u9840)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9830, _u9832), tc_HOL_Obool)), _u9834), _u9836))) )).
% 12.32/12.56 cnf(matrix-5060, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9831, _u9833)), hAPP(hAPP(c_Product__Type_OPair(_u9831, _u9833), _u9839), _u9841)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool)), _u9835), _u9837))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9831, tc_fun(_u9833, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9831, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), _u9831), c_COMBC(_u9833, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_prod(_u9831, _u9833)), tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), _u9831), hAPP(c_COMBB(tc_prod(_u9831, _u9833), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool), _u9833), c_member(tc_prod(_u9831, _u9833)))), c_Product__Type_OPair(_u9831, _u9833)))), _u9835)), hAPP(hAPP(c_COMBC(_u9831, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_fun(_u9833, tc_HOL_Obool)), _u9831), c_COMBC(_u9833, tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9833, tc_prod(_u9831, _u9833)), tc_fun(_u9833, tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool)), _u9831), hAPP(c_COMBB(tc_prod(_u9831, _u9833), tc_fun(tc_fun(tc_prod(_u9831, _u9833), tc_HOL_Obool), tc_HOL_Obool), _u9833), c_member(tc_prod(_u9831, _u9833)))), c_Product__Type_OPair(_u9831, _u9833)))), _u9837)), _u9839), _u9841)) )).
% 12.32/12.56 cnf(matrix-5061, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u9843)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u9843), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9843), c_Orderings_Otop__class_Otop(tc_fun(_u9843, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5062, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9844), c_Orderings_Otop__class_Otop(tc_fun(_u9844, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u9844)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u9844), tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5063, plain, ( ~c_Nat__Transfer_Onat__set(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u9845)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9845))) )).
% 12.32/12.56 cnf(matrix-5064, plain, ( ~c_Nat__Transfer_Onat__set(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u9845)) )).
% 12.32/12.56 cnf(matrix-5065, plain, ( ~class_Groups_Ocomm__monoid__add(_u9846) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, _u9846), _u9849), _u9848) = c_Groups_Ozero__class_Ozero(_u9846)) )).
% 12.32/12.56 cnf(matrix-5066, plain, ( ~class_Groups_Ocomm__monoid__add(_u9850) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9851, _u9850), _u9853), _u9852) = c_Groups_Ozero__class_Ozero(_u9850)) )).
% 12.32/12.56 cnf(matrix-5067, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9856, tc_HOL_Obool)), _u9857), hAPP(c_Set_Oimage(_u9854, _u9856, _u9858), _u9855))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9856), _u9857)) )).
% 12.32/12.56 cnf(matrix-5068, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9863, tc_HOL_Obool)), _u9865), hAPP(hAPP(c_Set_Oinsert(_u9863), _u9867), _u9869)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9863, tc_HOL_Obool)), _u9865), _u9869))) )).
% 12.32/12.56 cnf(matrix-5069, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9864, tc_HOL_Obool)), _u9866), _u9870))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9864, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_Set_Oinsert(_u9864), _u9868), _u9870)))) )).
% 12.32/12.56 cnf(matrix-5070, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9871), _u9872)) | ( hAPP(c_Finite__Set_Ocard(_u9871), _u9872) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-5071, plain, ( ~c_Nat__Transfer_Ois__nat(_u9873) | ~c_Nat__Transfer_Onat__set(_u9874) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9873), _u9874)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9873)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9874))) )).
% 12.32/12.56 cnf(matrix-5072, plain, ( ~c_Nat__Transfer_Ois__nat(_u9873) | ~c_Nat__Transfer_Onat__set(_u9874) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9873)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9874))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9873), _u9874)) )).
% 12.32/12.56 cnf(matrix-5073, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9875), c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u9875), _u9876) != hAPP(c_Finite__Set_Ocard(_u9875), c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool)))) | ( _u9876 = c_Orderings_Otop__class_Otop(tc_fun(_u9875, tc_HOL_Obool))) )).
% 12.32/12.56 cnf(matrix-5074, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), _u9878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9877, tc_HOL_Obool)), _u9878))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), c_Orderings_Otop__class_Otop(tc_fun(_u9877, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5075, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), _u9878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), c_Orderings_Otop__class_Otop(tc_fun(_u9877, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9877, tc_HOL_Obool)), _u9878))) )).
% 12.32/12.56 cnf(matrix-5076, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9881), _u9879), _u9882)) | ( hAPP(_u9883, _u9879) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-5077, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9881), skolem176(_u9883, _u9882, _u9881)), _u9882)) )).
% 12.32/12.56 cnf(matrix-5078, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9881, tc_Nat_Onat), _u9883), _u9882) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u9883, skolem176(_u9883, _u9882, _u9881)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.56 cnf(matrix-5079, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9884), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9885), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u9884) != hAPP(c_Code__Numeral_Oof__nat, _u9885)) | ( _u9884 = _u9885) )).
% 12.32/12.56 cnf(matrix-5080, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9884), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9885), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9884 != _u9885) | ( hAPP(c_Code__Numeral_Oof__nat, _u9884) = hAPP(c_Code__Numeral_Oof__nat, _u9885)) )).
% 12.32/12.56 cnf(matrix-5081, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u9886)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.32/12.56 cnf(matrix-5082, plain, ( ~c_Nat__Transfer_Onat__set(_u9887) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9888), _u9887)) | c_Nat__Transfer_Ois__nat(_u9888) )).
% 12.32/12.56 cnf(matrix-5083, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9895, tc_fun(_u9897, tc_fun(_u9899, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9895, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9897, tc_fun(_u9899, tc_HOL_Obool)), _u9895), hAPP(c_COMBC(_u9897, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9897), c_COMBC(_u9899, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_prod(_u9897, _u9899)), tc_fun(_u9899, tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool)), _u9897), hAPP(c_COMBB(tc_prod(_u9897, _u9899), tc_fun(tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool), tc_HOL_Obool), _u9899), c_member(tc_prod(_u9897, _u9899)))), c_Product__Type_OPair(_u9897, _u9899))))), _u9901)), _u9903), _u9905)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9897, _u9899)), hAPP(hAPP(c_Product__Type_OPair(_u9897, _u9899), _u9903), _u9905)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9895, tc_fun(tc_prod(_u9897, _u9899), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9895, tc_HOL_Obool))), _u9901))) )).
% 12.32/12.56 cnf(matrix-5084, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9898, _u9900)), hAPP(hAPP(c_Product__Type_OPair(_u9898, _u9900), _u9904), _u9906)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9896, tc_HOL_Obool))), _u9902))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9898, tc_fun(_u9900, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9896, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9898, tc_fun(_u9900, tc_HOL_Obool)), _u9896), hAPP(c_COMBC(_u9898, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9900, tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_fun(_u9900, tc_HOL_Obool)), _u9898), c_COMBC(_u9900, tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9900, tc_prod(_u9898, _u9900)), tc_fun(_u9900, tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool)), _u9898), hAPP(c_COMBB(tc_prod(_u9898, _u9900), tc_fun(tc_fun(tc_prod(_u9898, _u9900), tc_HOL_Obool), tc_HOL_Obool), _u9900), c_member(tc_prod(_u9898, _u9900)))), c_Product__Type_OPair(_u9898, _u9900))))), _u9902)), _u9904), _u9906)) )).
% 12.32/12.57 cnf(matrix-5085, plain, ( c_Nitpick_Ofold__graph_H(_u9907, _u9908, _u9909, _u9910, c_Orderings_Obot__class_Obot(tc_fun(_u9907, tc_HOL_Obool)), _u9910) )).
% 12.32/12.57 cnf(matrix-5086, plain, ( c_Nitpick_Ofold__graph_H(_u9911, _u9912, _u9913, _u9914, c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)), _u9914) )).
% 12.32/12.57 cnf(matrix-5087, plain, ( ~class_Groups_Ocomm__monoid__add(_u9915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9916), _u9917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), hAPP(hAPP(c_COMBS(_u9916, _u9915, _u9915), hAPP(hAPP(c_COMBB(_u9915, tc_fun(_u9915, _u9915), _u9916), c_Groups_Oplus__class_Oplus(_u9915)), _u9918)), _u9919)), _u9917) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), _u9918), _u9917)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9916, _u9915), _u9919), _u9917))) )).
% 12.32/12.57 cnf(matrix-5088, 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)), _u9920))) )).
% 12.32/12.57 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9921), hAPP(c_Set_Oimage(_u9922, _u9921, _u9923), c_Orderings_Otop__class_Otop(tc_fun(_u9922, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9924), hAPP(c_Set_Oimage(_u9922, _u9924, hAPP(hAPP(c_COMBB(_u9921, _u9924, _u9922), _u9925), _u9923)), c_Orderings_Otop__class_Otop(tc_fun(_u9922, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9930, tc_fun(_u9932, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9930, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), _u9930), c_COMBC(_u9932, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_prod(_u9930, _u9932)), tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), _u9930), hAPP(c_COMBB(tc_prod(_u9930, _u9932), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool), _u9932), c_member(tc_prod(_u9930, _u9932)))), c_Product__Type_OPair(_u9930, _u9932)))), _u9934)), hAPP(hAPP(c_COMBC(_u9930, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_fun(_u9932, tc_HOL_Obool)), _u9930), c_COMBC(_u9932, tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9932, tc_prod(_u9930, _u9932)), tc_fun(_u9932, tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool)), _u9930), hAPP(c_COMBB(tc_prod(_u9930, _u9932), tc_fun(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool), tc_HOL_Obool), _u9932), c_member(tc_prod(_u9930, _u9932)))), c_Product__Type_OPair(_u9930, _u9932)))), _u9936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9930, _u9932), tc_HOL_Obool)), _u9934), _u9936)) )).
% 12.32/12.57 cnf(matrix-5091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool)), _u9935), _u9937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9931, tc_fun(_u9933, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9931, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), _u9931), c_COMBC(_u9933, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_prod(_u9931, _u9933)), tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), _u9931), hAPP(c_COMBB(tc_prod(_u9931, _u9933), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool), _u9933), c_member(tc_prod(_u9931, _u9933)))), c_Product__Type_OPair(_u9931, _u9933)))), _u9935)), hAPP(hAPP(c_COMBC(_u9931, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_fun(_u9933, tc_HOL_Obool)), _u9931), c_COMBC(_u9933, tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9933, tc_prod(_u9931, _u9933)), tc_fun(_u9933, tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool)), _u9931), hAPP(c_COMBB(tc_prod(_u9931, _u9933), tc_fun(tc_fun(tc_prod(_u9931, _u9933), tc_HOL_Obool), tc_HOL_Obool), _u9933), c_member(tc_prod(_u9931, _u9933)))), c_Product__Type_OPair(_u9931, _u9933)))), _u9937))) )).
% 12.32/12.57 cnf(matrix-5092, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9940), _u9942) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9942 = c_Orderings_Obot__class_Obot(tc_fun(_u9940, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9940), _u9942)) )).
% 12.32/12.57 cnf(matrix-5093, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9941), _u9943) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9943 != c_Orderings_Obot__class_Obot(tc_fun(_u9941, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5094, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9941), _u9943) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9941), _u9943)) )).
% 12.32/12.57 cnf(matrix-5095, 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(_u9944), _u9945))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9944), _u9945)) )).
% 12.32/12.57 cnf(matrix-5096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9946), _u9947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9946), _u9947)), hAPP(c_Finite__Set_Ocard(_u9946), hAPP(hAPP(c_Set_Oinsert(_u9946), _u9948), _u9947)))) )).
% 12.32/12.57 cnf(matrix-5097, plain, ( ~c_Nat__Transfer_Onat__set(_u9949) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9950), _u9949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9950)) )).
% 12.32/12.57 cnf(matrix-5098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9951), _u9952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9951, tc_HOL_Obool)), _u9953), _u9952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9951), _u9952)), hAPP(c_Finite__Set_Ocard(_u9951), _u9953))) | ( _u9953 = _u9952) )).
% 12.32/12.57 cnf(matrix-5099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9954), _u9955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9954, tc_HOL_Obool)), _u9956), _u9955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9954), _u9956)), hAPP(c_Finite__Set_Ocard(_u9954), _u9955))) )).
% 12.32/12.57 cnf(matrix-5100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9957), _u9958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9959), hAPP(c_Set_Oimage(_u9957, _u9959, _u9960), _u9958))), hAPP(c_Finite__Set_Ocard(_u9957), _u9958))) )).
% 12.32/12.57 cnf(matrix-5101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u9965), skolem177(_u9967, _u9966, _u9965)), _u9966)) )).
% 12.32/12.57 cnf(matrix-5102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u9967, skolem177(_u9967, _u9966, _u9965)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.57 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9961), _u9966)) | ( skolem177(_u9967, _u9966, _u9965) = _u9961) | ( hAPP(_u9967, _u9961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5104, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u9965), skolem178(_u9967, _u9966, _u9965, _u9964)), _u9966)) )).
% 12.32/12.57 cnf(matrix-5105, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9964 != skolem178(_u9967, _u9966, _u9965, _u9964)) )).
% 12.32/12.57 cnf(matrix-5106, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9965, tc_Nat_Onat), _u9967), _u9966) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9964), _u9966)) | ( hAPP(_u9967, _u9964) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u9967, skolem178(_u9967, _u9966, _u9965, _u9964)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5107, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9968, tc_HOL_Obool)), _u9970), _u9969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9968), _u9970)), hAPP(c_Finite__Set_Ocard(_u9968), _u9969))) )).
% 12.32/12.57 cnf(matrix-5108, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9975), skolem179(_u9977, _u9976, _u9975)), _u9976)) )).
% 12.32/12.57 cnf(matrix-5109, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9977, skolem179(_u9977, _u9976, _u9975)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5110, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9971), _u9976)) | ( skolem179(_u9977, _u9976, _u9975) = _u9971) | ( hAPP(_u9977, _u9971) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5111, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9975), skolem180(_u9977, _u9976, _u9975, _u9974)), _u9976)) )).
% 12.32/12.57 cnf(matrix-5112, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u9974 != skolem180(_u9977, _u9976, _u9975, _u9974)) )).
% 12.32/12.57 cnf(matrix-5113, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9975), _u9976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, tc_Nat_Onat), _u9977), _u9976) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9975), _u9974), _u9976)) | ( hAPP(_u9977, _u9974) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9977, skolem180(_u9977, _u9976, _u9975, _u9974)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5114, plain, ( ~class_Groups_Ocomm__monoid__add(_u9978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9979), _u9980)) | ~hBOOL(hAPP(hAPP(c_member(_u9979), _u9981), _u9980)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9979, _u9978), hAPP(hAPP(c_COMBC(_u9979, _u9978, _u9978), hAPP(hAPP(c_COMBS(_u9979, _u9978, tc_fun(_u9978, _u9978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9978, tc_fun(_u9978, _u9978)), _u9979), c_If(_u9978)), hAPP(c_fequal, _u9981))), _u9982)), c_Groups_Ozero__class_Ozero(_u9978))), _u9980) = hAPP(_u9982, _u9981)) )).
% 12.32/12.57 cnf(matrix-5115, plain, ( ~class_Groups_Ocomm__monoid__add(_u9978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9979), _u9980)) | hBOOL(hAPP(hAPP(c_member(_u9979), _u9981), _u9980)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9979, _u9978), hAPP(hAPP(c_COMBC(_u9979, _u9978, _u9978), hAPP(hAPP(c_COMBS(_u9979, _u9978, tc_fun(_u9978, _u9978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9978, tc_fun(_u9978, _u9978)), _u9979), c_If(_u9978)), hAPP(c_fequal, _u9981))), _u9982)), c_Groups_Ozero__class_Ozero(_u9978))), _u9980) = c_Groups_Ozero__class_Ozero(_u9978)) )).
% 12.32/12.57 cnf(matrix-5116, plain, ( ~class_Groups_Ocomm__monoid__add(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9984), _u9985)) | ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9986), _u9985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9984, _u9983), hAPP(hAPP(c_COMBC(_u9984, _u9983, _u9983), hAPP(hAPP(c_COMBS(_u9984, _u9983, tc_fun(_u9983, _u9983)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9983, tc_fun(_u9983, _u9983)), _u9984), c_If(_u9983)), hAPP(hAPP(c_COMBC(_u9984, _u9984, tc_HOL_Obool), c_fequal), _u9986))), _u9987)), c_Groups_Ozero__class_Ozero(_u9983))), _u9985) = hAPP(_u9987, _u9986)) )).
% 12.32/12.57 cnf(matrix-5117, plain, ( ~class_Groups_Ocomm__monoid__add(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9984), _u9985)) | hBOOL(hAPP(hAPP(c_member(_u9984), _u9986), _u9985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9984, _u9983), hAPP(hAPP(c_COMBC(_u9984, _u9983, _u9983), hAPP(hAPP(c_COMBS(_u9984, _u9983, tc_fun(_u9983, _u9983)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9983, tc_fun(_u9983, _u9983)), _u9984), c_If(_u9983)), hAPP(hAPP(c_COMBC(_u9984, _u9984, tc_HOL_Obool), c_fequal), _u9986))), _u9987)), c_Groups_Ozero__class_Ozero(_u9983))), _u9985) = c_Groups_Ozero__class_Ozero(_u9983)) )).
% 12.32/12.57 cnf(matrix-5118, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9988), 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, _u9988)) = _u9988) )).
% 12.32/12.57 cnf(matrix-5119, plain, ( ~class_Groups_Ocomm__monoid__add(_u9989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9990), _u9991)) | hBOOL(hAPP(hAPP(c_member(_u9990), _u9992), _u9991)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9990, _u9989), _u9993), hAPP(hAPP(c_Set_Oinsert(_u9990), _u9992), _u9991)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9989), hAPP(_u9993, _u9992)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9990, _u9989), _u9993), _u9991))) )).
% 12.32/12.57 cnf(matrix-5120, plain, ( ~class_Groups_Ocomm__monoid__add(_u9994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9995), _u9996)) | hBOOL(hAPP(hAPP(c_member(_u9995), _u9997), _u9996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9995, _u9994), _u9998), hAPP(hAPP(c_Set_Oinsert(_u9995), _u9997), _u9996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9994), hAPP(_u9998, _u9997)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9995, _u9994), _u9998), _u9996))) )).
% 12.32/12.57 cnf(matrix-5121, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9999), _u10000)) | ~hBOOL(hAPP(hAPP(c_member(_u9999), _u10001), _u10000)) | ( hAPP(c_Finite__Set_Ocard(_u9999), hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), _u10000)) = hAPP(c_Finite__Set_Ocard(_u9999), _u10000)) )).
% 12.32/12.57 cnf(matrix-5122, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9999), _u10000)) | hBOOL(hAPP(hAPP(c_member(_u9999), _u10001), _u10000)) | ( hAPP(c_Finite__Set_Ocard(_u9999), hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), _u10000)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9999), _u10000))) )).
% 12.32/12.57 cnf(matrix-5123, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10002), _u10003)) | hBOOL(hAPP(hAPP(c_member(_u10002), _u10004), _u10003)) | ( hAPP(c_Finite__Set_Ocard(_u10002), hAPP(hAPP(c_Set_Oinsert(_u10002), _u10004), _u10003)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10002), _u10003))) )).
% 12.32/12.57 cnf(matrix-5124, 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(_u10007), _u10009))) | ( _u10009 != c_Orderings_Obot__class_Obot(tc_fun(_u10007, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5125, 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(_u10007), _u10009))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10009)) )).
% 12.32/12.57 cnf(matrix-5126, plain, ( ( _u10010 = c_Orderings_Obot__class_Obot(tc_fun(_u10008, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10008), _u10010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10008), _u10010))) )).
% 12.32/12.57 cnf(matrix-5127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10011), c_Orderings_Otop__class_Otop(tc_fun(_u10011, 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(_u10011), c_Orderings_Otop__class_Otop(tc_fun(_u10011, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5128, plain, ( ~class_Groups_Oab__group__add(_u10012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10013), _u10014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10013, tc_HOL_Obool)), _u10015), _u10014)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10013, tc_HOL_Obool)), _u10014), _u10015)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10012), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), _u10014)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10013, _u10012), _u10016), _u10015))) )).
% 12.32/12.57 cnf(matrix-5129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10017), _u10018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10017, tc_HOL_Obool)), _u10018), _u10019)) | ( hAPP(c_Finite__Set_Ocard(_u10017), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10017, tc_HOL_Obool)), _u10019), _u10018)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10017), _u10019)), hAPP(c_Finite__Set_Ocard(_u10017), _u10018))) )).
% 12.32/12.57 cnf(matrix-5130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10020), _u10021)) | 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(_u10020), _u10022)), hAPP(c_Finite__Set_Ocard(_u10020), _u10021))), hAPP(c_Finite__Set_Ocard(_u10020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10020, tc_HOL_Obool)), _u10022), _u10021)))) )).
% 12.32/12.57 cnf(matrix-5131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10023, tc_HOL_Obool)), _u10025), _u10024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10023), _u10025)), hAPP(c_Finite__Set_Ocard(_u10023), _u10024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10023, tc_HOL_Obool)), _u10025), _u10024)) )).
% 12.32/12.57 cnf(matrix-5132, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10026), _u10027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10026, tc_HOL_Obool)), _u10027), _u10028)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10026, tc_HOL_Obool)), _u10028), _u10027)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), _u10028)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10026, tc_Nat_Onat), _u10029), _u10027))) )).
% 12.32/12.57 cnf(matrix-5133, plain, ( ~class_Groups_Ocomm__monoid__add(_u10030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10031), _u10032)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10031, _u10030), _u10033), hAPP(hAPP(c_Set_Oinsert(_u10031), _u10034), _u10032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10030), hAPP(_u10033, _u10034)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10031, _u10030), _u10033), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10031, tc_HOL_Obool)), _u10032), hAPP(hAPP(c_Set_Oinsert(_u10031), _u10034), c_Orderings_Obot__class_Obot(tc_fun(_u10031, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10035), _u10036)) | ( hAPP(c_Finite__Set_Ocard(_u10035), hAPP(hAPP(c_Set_Oinsert(_u10035), _u10037), _u10036)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10035, tc_HOL_Obool)), _u10036), hAPP(hAPP(c_Set_Oinsert(_u10035), _u10037), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5135, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10038), _u10039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10038), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10038, tc_HOL_Obool)), _u10039), hAPP(hAPP(c_Set_Oinsert(_u10038), _u10040), c_Orderings_Obot__class_Obot(tc_fun(_u10038, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10038), _u10039))) )).
% 12.32/12.57 cnf(matrix-5136, 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(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10041), _u10042))) )).
% 12.32/12.57 cnf(matrix-5137, plain, ( ~class_Groups_Ocomm__monoid__add(_u10044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10045), _u10046)) | ~hBOOL(hAPP(hAPP(c_member(_u10045), _u10047), _u10046)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10045, _u10044), _u10048), _u10046) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10044), hAPP(_u10048, _u10047)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10045, _u10044), _u10048), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10045, tc_HOL_Obool)), _u10046), hAPP(hAPP(c_Set_Oinsert(_u10045), _u10047), c_Orderings_Obot__class_Obot(tc_fun(_u10045, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5138, plain, ( ~class_Groups_Ocomm__monoid__add(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ~hBOOL(hAPP(hAPP(c_member(_u10050), _u10052), _u10051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10050, _u10049), _u10053), _u10051) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10049), hAPP(_u10053, _u10052)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10050, _u10049), _u10053), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10050, tc_HOL_Obool)), _u10051), hAPP(hAPP(c_Set_Oinsert(_u10050), _u10052), c_Orderings_Obot__class_Obot(tc_fun(_u10050, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5139, plain, ( ~class_Rings_Oring(_u10054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10055), _u10056)) | ~hBOOL(hAPP(hAPP(c_member(_u10055), _u10057), _u10056)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10055, _u10054), _u10058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10055, tc_HOL_Obool)), _u10056), hAPP(hAPP(c_Set_Oinsert(_u10055), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10055, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10055, _u10054), _u10058), _u10056)), hAPP(_u10058, _u10057))) )).
% 12.32/12.57 cnf(matrix-5140, plain, ( ~class_Groups_Oab__group__add(_u10059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10060), _u10061)) | ~hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10059), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), _u10061)), hAPP(_u10063, _u10062))) )).
% 12.32/12.57 cnf(matrix-5141, plain, ( ~class_Groups_Oab__group__add(_u10059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10060), _u10061)) | hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10060, _u10059), _u10063), _u10061)) )).
% 12.32/12.57 cnf(matrix-5142, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10064), _u10065)) | ~hBOOL(hAPP(hAPP(c_member(_u10064), _u10066), _u10065)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10064), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10064, tc_HOL_Obool)), _u10065), hAPP(hAPP(c_Set_Oinsert(_u10064), _u10066), c_Orderings_Obot__class_Obot(tc_fun(_u10064, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10064), _u10065)) )).
% 12.32/12.57 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | ~hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10067, tc_HOL_Obool)), _u10068), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), c_Orderings_Obot__class_Obot(tc_fun(_u10067, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10067), _u10068))) )).
% 12.32/12.57 cnf(matrix-5144, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10070), _u10071)) | ~hBOOL(hAPP(hAPP(c_member(_u10070), _u10072), _u10071)) | ~hBOOL(hAPP(hAPP(c_member(_u10070), _u10073), _u10071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10070, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10070, tc_HOL_Obool)), _u10071), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10072), c_Orderings_Obot__class_Obot(tc_fun(_u10070, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10073), c_Orderings_Obot__class_Obot(tc_fun(_u10070, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10070), _u10071))) )).
% 12.32/12.57 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10074), _u10075)) | ~hBOOL(hAPP(hAPP(c_member(_u10074), _u10076), _u10075)) | hBOOL(hAPP(hAPP(c_member(_u10074), _u10076), _u10077)) | ( 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), _u10077))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10074, tc_HOL_Obool)), _u10075), _u10077))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.57 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10078), _u10079)) | ( hAPP(c_Finite__Set_Ocard(_u10078), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10080), _u10079)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10078), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10080), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10081), _u10082)) | ~hBOOL(hAPP(hAPP(c_member(_u10081), _u10083), _u10082)) | ( hAPP(c_Finite__Set_Ocard(_u10081), _u10082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10081), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10081, tc_HOL_Obool)), _u10082), hAPP(hAPP(c_Set_Oinsert(_u10081), _u10083), c_Orderings_Obot__class_Obot(tc_fun(_u10081, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5148, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10084), _u10085)) | ~hBOOL(hAPP(hAPP(c_member(_u10084), _u10086), _u10085)) | ( hAPP(c_Finite__Set_Ocard(_u10084), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10084, tc_HOL_Obool)), _u10085), hAPP(hAPP(c_Set_Oinsert(_u10084), _u10086), c_Orderings_Obot__class_Obot(tc_fun(_u10084, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10084), _u10085)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.57 cnf(matrix-5149, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10092, _u10094, _u10096), _u10098), _u10100)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10092, _u10094)), hAPP(hAPP(c_Product__Type_OPair(_u10092, _u10094), _u10098), _u10100)), _u10096)) )).
% 12.32/12.57 cnf(matrix-5150, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10093, _u10095)), hAPP(hAPP(c_Product__Type_OPair(_u10093, _u10095), _u10099), _u10101)), _u10097)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10093, _u10095, _u10097), _u10099), _u10101)) )).
% 12.32/12.57 cnf(matrix-5151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10102, _u10103)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10102, _u10103), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u10103), c_Orderings_Otop__class_Otop(tc_fun(_u10103, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10102), c_Orderings_Otop__class_Otop(tc_fun(_u10102, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5152, plain, ( ~c_Nitpick_Orefl_H(_u10108, _u10110) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10108, _u10108)), hAPP(hAPP(c_Product__Type_OPair(_u10108, _u10108), _u10104), _u10104)), _u10110)) )).
% 12.32/12.57 cnf(matrix-5153, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10109, _u10109)), hAPP(hAPP(c_Product__Type_OPair(_u10109, _u10109), skolem181(_u10111, _u10109)), skolem181(_u10111, _u10109))), _u10111)) | c_Nitpick_Orefl_H(_u10109, _u10111) )).
% 12.32/12.57 cnf(matrix-5154, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10122, _u10118)), hAPP(_u10122, _u10120))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10116, _u10116)), hAPP(hAPP(c_Product__Type_OPair(_u10116, _u10116), _u10118), _u10120)), hAPP(c_Wellfounded_Omeasure(_u10116), _u10122))) )).
% 12.32/12.57 cnf(matrix-5155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10123, _u10119)), hAPP(_u10123, _u10121))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10117, _u10117)), hAPP(hAPP(c_Product__Type_OPair(_u10117, _u10117), _u10119), _u10121)), hAPP(c_Wellfounded_Omeasure(_u10117), _u10123))) )).
% 12.32/12.57 cnf(matrix-5156, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10128, tc_fun(_u10129, tc_HOL_Obool))), _u10127), _u10124), _u10125), _u10126)) | ~hBOOL(hAPP(hAPP(_u10124, _u10125), _u10126)) )).
% 12.32/12.57 cnf(matrix-5157, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10128, tc_fun(_u10129, tc_HOL_Obool))), _u10127), _u10124), _u10125), _u10126)) | ~hBOOL(hAPP(hAPP(_u10127, _u10125), _u10126)) )).
% 12.32/12.57 cnf(matrix-5158, plain, ( hBOOL(hAPP(hAPP(_u10132, _u10134), _u10135)) | hBOOL(hAPP(hAPP(_u10133, _u10134), _u10135)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10130, tc_fun(_u10131, tc_HOL_Obool))), _u10132), _u10133), _u10134), _u10135)) )).
% 12.32/12.57 cnf(matrix-5159, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10136, tc_fun(_u10137, tc_HOL_Obool))), _u10138), _u10139)) )).
% 12.32/12.57 cnf(matrix-5160, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5161, plain, ( ~hBOOL(hAPP(hAPP(_u10140, _u10141), _u10142)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10143, tc_fun(_u10144, tc_HOL_Obool))), _u10145), _u10140), _u10141), _u10142)) )).
% 12.32/12.57 cnf(matrix-5162, plain, ( ~hBOOL(hAPP(hAPP(_u10146, _u10147), _u10148)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10149, tc_fun(_u10150, tc_HOL_Obool))), _u10146), _u10151), _u10147), _u10148)) )).
% 12.32/12.57 cnf(matrix-5163, plain, ( ( _u10152 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10153, _u10153), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10153, _u10153), tc_HOL_Obool)), _u10152), _u10154)) )).
% 12.32/12.57 cnf(matrix-5164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u10160, _u10159, _u10158, _u10157)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10158))) )).
% 12.32/12.57 cnf(matrix-5165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u10160, _u10159, _u10158, _u10157)), _u10160)) )).
% 12.32/12.57 cnf(matrix-5166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10158)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10159), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10157), _u10159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), _u10158)), _u10159)) | ( _u10157 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem183(_u10160, _u10159, _u10158, _u10157)), skolem182(_u10160, _u10159, _u10158, _u10157))) )).
% 12.32/12.57 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem184(_u10166, _u10165, _u10164, _u10163)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10164))) )).
% 12.32/12.57 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem185(_u10166, _u10165, _u10164, _u10163)), _u10166)) )).
% 12.32/12.57 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10164)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10165), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), _u10163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10165), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), _u10164))) | ( _u10163 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem185(_u10166, _u10165, _u10164, _u10163)), skolem184(_u10166, _u10165, _u10164, _u10163))) )).
% 12.32/12.57 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10169), 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)))), _u10171))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10169), _u10171)) )).
% 12.32/12.57 cnf(matrix-5171, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10169), 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)))), _u10171))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10171), _u10169)) )).
% 12.32/12.57 cnf(matrix-5172, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10170), _u10172)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10172), _u10170)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10170), 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)))), _u10172))) )).
% 12.32/12.57 cnf(matrix-5173, plain, ( hBOOL(hAPP(hAPP(_u10181, _u10179), _u10183)) | ~hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), c_SetInterval_Oord_OlessThan(_u10177, _u10181, _u10183))) )).
% 12.32/12.57 cnf(matrix-5174, plain, ( ~hBOOL(hAPP(hAPP(_u10182, _u10180), _u10184)) | hBOOL(hAPP(hAPP(c_member(_u10178), _u10180), c_SetInterval_Oord_OlessThan(_u10178, _u10182, _u10184))) )).
% 12.32/12.57 cnf(matrix-5175, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10187), 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)))), _u10189))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10189), _u10187)) )).
% 12.32/12.57 cnf(matrix-5176, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10187), 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)))), _u10189))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10187), _u10189)) )).
% 12.32/12.57 cnf(matrix-5177, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10190), _u10188)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10188), _u10190)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10188), 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)))), _u10190))) )).
% 12.32/12.57 cnf(matrix-5178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u10196, _u10195, _u10194, _u10193)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10194))) )).
% 12.32/12.57 cnf(matrix-5179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u10196, _u10195, _u10194, _u10193)), _u10196)) )).
% 12.32/12.57 cnf(matrix-5180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10194)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10195), _u10196)) | ( _u10193 = _u10195) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10193), _u10194) != _u10195) | ( _u10193 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem187(_u10196, _u10195, _u10194, _u10193)), skolem186(_u10196, _u10195, _u10194, _u10193))) )).
% 12.32/12.57 cnf(matrix-5181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u10202, _u10201, _u10200, _u10199)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10200))) )).
% 12.32/12.57 cnf(matrix-5182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u10202, _u10201, _u10200, _u10199)), _u10202)) )).
% 12.32/12.57 cnf(matrix-5183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10200)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10201), _u10202)) | ( _u10199 = _u10201) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10199), _u10200) != _u10201) | ( _u10199 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem189(_u10202, _u10201, _u10200, _u10199)), skolem188(_u10202, _u10201, _u10200, _u10199))) )).
% 12.32/12.57 cnf(matrix-5184, plain, ( hBOOL(hAPP(hAPP(_u10211, _u10213), _u10209)) | ~hBOOL(hAPP(hAPP(c_member(_u10207), _u10209), c_SetInterval_Oord_OgreaterThan(_u10207, _u10211, _u10213))) )).
% 12.32/12.57 cnf(matrix-5185, plain, ( ~hBOOL(hAPP(hAPP(_u10212, _u10214), _u10210)) | hBOOL(hAPP(hAPP(c_member(_u10208), _u10210), c_SetInterval_Oord_OgreaterThan(_u10208, _u10212, _u10214))) )).
% 12.32/12.57 cnf(matrix-5186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u10219, _u10218, _u10217)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10217))) )).
% 12.32/12.57 cnf(matrix-5187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10219, _u10218, _u10217)), _u10219)) )).
% 12.32/12.57 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10217)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10219)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10218), _u10217) = _u10218) | ( _u10218 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem191(_u10219, _u10218, _u10217)), skolem190(_u10219, _u10218, _u10217))) )).
% 12.32/12.57 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10224, _u10223, _u10222)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10222))) )).
% 12.32/12.57 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10224, _u10223, _u10222)), _u10224)) )).
% 12.32/12.57 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10224)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10223), _u10222) = _u10223) | ( _u10223 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10224, _u10223, _u10222)), skolem192(_u10224, _u10223, _u10222))) )).
% 12.32/12.57 cnf(matrix-5192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10230, _u10229, _u10228, _u10227)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10228))) )).
% 12.32/12.57 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10230, _u10229, _u10228, _u10227)), _u10230)) )).
% 12.32/12.57 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10228)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), _u10228)), _u10229)) | ( _u10227 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem195(_u10230, _u10229, _u10228, _u10227)), skolem194(_u10230, _u10229, _u10228, _u10227))) )).
% 12.32/12.57 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10236, _u10235, _u10234, _u10233)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10234))) )).
% 12.32/12.57 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u10236, _u10235, _u10234, _u10233)), _u10236)) )).
% 12.32/12.57 cnf(matrix-5197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10234)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10235), _u10236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), _u10233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10233), _u10234))) | ( _u10233 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem197(_u10236, _u10235, _u10234, _u10233)), skolem196(_u10236, _u10235, _u10234, _u10233))) )).
% 12.32/12.57 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10239), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10241))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10241), _u10239)) )).
% 12.32/12.57 cnf(matrix-5199, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10242), _u10240)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10240), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10242))) )).
% 12.32/12.57 cnf(matrix-5200, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10245), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10247))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10245), _u10247)) )).
% 12.32/12.57 cnf(matrix-5201, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10246), _u10248)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10246), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10248))) )).
% 12.32/12.57 cnf(matrix-5202, plain, ( hBOOL(hAPP(hAPP(_u10257, _u10255), _u10259)) | ~hBOOL(hAPP(hAPP(c_member(_u10253), _u10255), c_SetInterval_Oord_OatMost(_u10253, _u10257, _u10259))) )).
% 12.32/12.57 cnf(matrix-5203, plain, ( ~hBOOL(hAPP(hAPP(_u10258, _u10256), _u10260)) | hBOOL(hAPP(hAPP(c_member(_u10254), _u10256), c_SetInterval_Oord_OatMost(_u10254, _u10258, _u10260))) )).
% 12.32/12.57 cnf(matrix-5204, plain, ( hBOOL(hAPP(hAPP(_u10269, _u10271), _u10267)) | ~hBOOL(hAPP(hAPP(c_member(_u10265), _u10267), c_SetInterval_Oord_OatLeast(_u10265, _u10269, _u10271))) )).
% 12.32/12.57 cnf(matrix-5205, plain, ( ~hBOOL(hAPP(hAPP(_u10270, _u10272), _u10268)) | hBOOL(hAPP(hAPP(c_member(_u10266), _u10268), c_SetInterval_Oord_OatLeast(_u10266, _u10270, _u10272))) )).
% 12.32/12.57 cnf(matrix-5206, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10274), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10278)), _u10279)), _u10280)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10281)), _u10279)), _u10282)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10276), hAPP(_u10278, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10279, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10280, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10276), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5207, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10274), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10278)), _u10279)), _u10280)), _u10275)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(c_Set_Oimage(_u10274, tc_Hoare__Mirabelle_Otriple(_u10276), hAPP(hAPP(c_COMBS(_u10274, tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(c_COMBS(_u10274, tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), hAPP(hAPP(c_COMBB(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10276, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10276))), _u10274), c_Hoare__Mirabelle_Otriple_Otriple(_u10276)), _u10281)), _u10279)), _u10282)), _u10275)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10276, _u10277, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10276)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10276), hAPP(_u10281, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10279, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274))), hAPP(_u10282, skolem198(_u10282, _u10281, _u10280, _u10279, _u10278, _u10277, _u10276, _u10275, _u10274)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10276), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5208, plain, ( ~c_Finite__Set_Ofolding__one(_u10283, _u10284, _u10285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10286)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10287), _u10286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ( hAPP(_u10285, _u10286) = _u10287) )).
% 12.32/12.57 cnf(matrix-5209, plain, ( ~c_Finite__Set_Ofolding__one(_u10283, _u10284, _u10285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10286)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10287), _u10286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ( hAPP(_u10285, _u10286) = hAPP(hAPP(_u10284, _u10287), hAPP(_u10285, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10286), hAPP(hAPP(c_Set_Oinsert(_u10283), _u10287), c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5210, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10289), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(_u10289), _u10295), _u10294)) | ( hAPP(_u10293, _u10294) = hAPP(hAPP(_u10290, hAPP(_u10292, _u10295)), hAPP(_u10293, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10289, tc_HOL_Obool)), _u10294), hAPP(hAPP(c_Set_Oinsert(_u10289), _u10295), c_Orderings_Obot__class_Obot(tc_fun(_u10289, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u10288, _u10289, _u10290, _u10291, _u10292, _u10293) )).
% 12.32/12.57 cnf(matrix-5211, plain, ( ( hAPP(_u10301, c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) = _u10299) | ~c_Finite__Set_Ofolding__image__simple(_u10296, _u10297, _u10298, _u10299, _u10300, _u10301) )).
% 12.32/12.57 cnf(matrix-5212, plain, ( ~c_Finite__Set_Ofolding__one(_u10302, _u10303, _u10304) | ( hAPP(_u10304, hAPP(hAPP(c_Set_Oinsert(_u10302), _u10305), c_Orderings_Obot__class_Obot(tc_fun(_u10302, tc_HOL_Obool)))) = _u10305) )).
% 12.32/12.57 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10312)) | hBOOL(hAPP(hAPP(c_member(_u10307), _u10313), _u10312)) | ( hAPP(_u10311, hAPP(hAPP(c_Set_Oinsert(_u10307), _u10313), _u10312)) = hAPP(hAPP(_u10308, hAPP(_u10310, _u10313)), hAPP(_u10311, _u10312))) | ~c_Finite__Set_Ofolding__image__simple(_u10306, _u10307, _u10308, _u10309, _u10310, _u10311) )).
% 12.32/12.57 cnf(matrix-5214, plain, ( ~c_Finite__Set_Ofolding__one(_u10314, _u10315, _u10316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10314), _u10317)) | hBOOL(hAPP(hAPP(c_member(_u10314), _u10318), _u10317)) | ( _u10317 = c_Orderings_Obot__class_Obot(tc_fun(_u10314, tc_HOL_Obool))) | ( hAPP(_u10316, hAPP(hAPP(c_Set_Oinsert(_u10314), _u10318), _u10317)) = hAPP(hAPP(_u10315, _u10318), hAPP(_u10316, _u10317))) )).
% 12.32/12.57 cnf(matrix-5215, plain, ( ~c_Finite__Set_Ofolding__one(_u10319, _u10320, _u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10319), _u10322)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))) | ( hAPP(_u10321, hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), _u10322)) = _u10323) )).
% 12.32/12.57 cnf(matrix-5216, plain, ( ~c_Finite__Set_Ofolding__one(_u10319, _u10320, _u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10319), _u10322)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))) | ( hAPP(_u10321, hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), _u10322)) = hAPP(hAPP(_u10320, _u10323), hAPP(_u10321, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10319, tc_HOL_Obool)), _u10322), hAPP(hAPP(c_Set_Oinsert(_u10319), _u10323), c_Orderings_Obot__class_Obot(tc_fun(_u10319, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5217, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10325), _u10330)) | ( hAPP(_u10329, hAPP(hAPP(c_Set_Oinsert(_u10325), _u10331), _u10330)) = hAPP(hAPP(_u10326, hAPP(_u10328, _u10331)), hAPP(_u10329, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10325, tc_HOL_Obool)), _u10330), hAPP(hAPP(c_Set_Oinsert(_u10325), _u10331), c_Orderings_Obot__class_Obot(tc_fun(_u10325, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u10324, _u10325, _u10326, _u10327, _u10328, _u10329) )).
% 12.32/12.57 cnf(matrix-5218, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u10333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10334), _u10335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10334, tc_HOL_Obool)), _u10336), _u10335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10336)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10335))) | hBOOL(hAPP(hAPP(c_member(_u10334), skolem199(_u10337, _u10336, _u10335, _u10334, _u10333)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10334, tc_HOL_Obool)), _u10335), _u10336))) )).
% 12.32/12.57 cnf(matrix-5219, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u10333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10334), _u10335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10334, tc_HOL_Obool)), _u10336), _u10335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10336)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10334, _u10333), _u10337), _u10335))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10333), c_Groups_Ozero__class_Ozero(_u10333)), hAPP(_u10337, skolem199(_u10337, _u10336, _u10335, _u10334, _u10333)))) )).
% 12.32/12.57 cnf(matrix-5220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u10338, _u10339)), hAPP(_u10338, _u10340))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10341, _u10341)), hAPP(hAPP(c_Product__Type_OPair(_u10341, _u10341), _u10339), _u10340)), _u10342)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10341, _u10341)), hAPP(hAPP(c_Product__Type_OPair(_u10341, _u10341), _u10339), _u10340)), c_Wellfounded_Omlex__prod(_u10341, _u10338, _u10342))) )).
% 12.32/12.57 cnf(matrix-5221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10343, _u10344)), hAPP(_u10343, _u10345))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10346, _u10346)), hAPP(hAPP(c_Product__Type_OPair(_u10346, _u10346), _u10344), _u10345)), c_Wellfounded_Omlex__prod(_u10346, _u10343, _u10347))) )).
% 12.32/12.57 cnf(matrix-5222, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u10349) | ~class_Rings_Osemiring__1(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10350, _u10349), _u10352), _u10351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10349), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10349), hAPP(c_Finite__Set_Ocard(_u10350), _u10351))), _u10353))) | hBOOL(hAPP(hAPP(c_member(_u10350), skolem200(_u10353, _u10352, _u10351, _u10350, _u10349)), _u10351)) )).
% 12.32/12.57 cnf(matrix-5223, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u10349) | ~class_Rings_Osemiring__1(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10350, _u10349), _u10352), _u10351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10349), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10349), hAPP(c_Finite__Set_Ocard(_u10350), _u10351))), _u10353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), hAPP(_u10352, skolem200(_u10353, _u10352, _u10351, _u10350, _u10349))), _u10353)) )).
% 12.32/12.57 cnf(matrix-5224, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( _u10363 = hAPP(hAPP(c_Set_Oinsert(_u10361), skolem201(_u10365, _u10363, _u10361)), skolem202(_u10365, _u10363, _u10361))) )).
% 12.32/12.57 cnf(matrix-5225, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ~hBOOL(hAPP(hAPP(c_member(_u10361), skolem201(_u10365, _u10363, _u10361)), skolem202(_u10365, _u10363, _u10361))) )).
% 12.32/12.57 cnf(matrix-5226, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( hAPP(c_Finite__Set_Ocard(_u10361), skolem202(_u10365, _u10363, _u10361)) = _u10365) )).
% 12.32/12.57 cnf(matrix-5227, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10361), _u10363) != hAPP(c_Nat_OSuc, _u10365)) | ( _u10365 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem202(_u10365, _u10363, _u10361) = c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5228, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10362), _u10364) = hAPP(c_Nat_OSuc, _u10366)) | ( _u10364 != hAPP(hAPP(c_Set_Oinsert(_u10362), _u10357), _u10356)) | hBOOL(hAPP(hAPP(c_member(_u10362), _u10357), _u10356)) | ( hAPP(c_Finite__Set_Ocard(_u10362), _u10356) != _u10366) | ( _u10366 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5229, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10362), _u10364) = hAPP(c_Nat_OSuc, _u10366)) | ( _u10364 != hAPP(hAPP(c_Set_Oinsert(_u10362), _u10357), _u10356)) | hBOOL(hAPP(hAPP(c_member(_u10362), _u10357), _u10356)) | ( hAPP(c_Finite__Set_Ocard(_u10362), _u10356) != _u10366) | ( _u10356 != c_Orderings_Obot__class_Obot(tc_fun(_u10362, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5230, plain, ( ~class_Groups_Ocomm__monoid__add(_u10368) | ~class_Groups_Oordered__ab__semigroup__add(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10369, tc_HOL_Obool)), _u10371), _u10370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10371)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10370))) | hBOOL(hAPP(hAPP(c_member(_u10369), skolem203(_u10372, _u10371, _u10370, _u10369, _u10368)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10369, tc_HOL_Obool)), _u10370), _u10371))) )).
% 12.32/12.57 cnf(matrix-5231, plain, ( ~class_Groups_Ocomm__monoid__add(_u10368) | ~class_Groups_Oordered__ab__semigroup__add(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10369, tc_HOL_Obool)), _u10371), _u10370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10371)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10369, _u10368), _u10372), _u10370))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10368), c_Groups_Ozero__class_Ozero(_u10368)), hAPP(_u10372, skolem203(_u10372, _u10371, _u10370, _u10369, _u10368)))) )).
% 12.32/12.57 cnf(matrix-5232, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10381), c_SetInterval_Oord_OgreaterThanAtMost(_u10379, _u10383, _u10385, _u10387, _u10389))) | hBOOL(hAPP(hAPP(_u10385, _u10387), _u10381)) )).
% 12.32/12.57 cnf(matrix-5233, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10381), c_SetInterval_Oord_OgreaterThanAtMost(_u10379, _u10383, _u10385, _u10387, _u10389))) | hBOOL(hAPP(hAPP(_u10383, _u10381), _u10389)) )).
% 12.32/12.57 cnf(matrix-5234, plain, ( ~hBOOL(hAPP(hAPP(_u10386, _u10388), _u10382)) | ~hBOOL(hAPP(hAPP(_u10384, _u10382), _u10390)) | hBOOL(hAPP(hAPP(c_member(_u10380), _u10382), c_SetInterval_Oord_OgreaterThanAtMost(_u10380, _u10384, _u10386, _u10388, _u10390))) )).
% 12.32/12.57 cnf(matrix-5235, plain, ( ~class_Int_Onumber__ring(_u10391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10392)) | hBOOL(hAPP(hAPP(c_member(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10392)), c_Nat_Osemiring__1__class_ONats(_u10391))) )).
% 12.32/12.57 cnf(matrix-5236, 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)))), _u10395, _u10397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10395), _u10397)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10397), _u10395)) )).
% 12.32/12.57 cnf(matrix-5237, 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)))), _u10396, _u10398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10396), _u10398)) )).
% 12.32/12.57 cnf(matrix-5238, 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)))), _u10396, _u10398)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10398), _u10396)) )).
% 12.32/12.57 cnf(matrix-5239, plain, ( ~class_Rings_Osemiring__1(_u10399) | hBOOL(hAPP(hAPP(c_member(_u10399), c_Groups_Ozero__class_Ozero(_u10399)), c_Nat_Osemiring__1__class_ONats(_u10399))) )).
% 12.32/12.57 cnf(matrix-5240, plain, ( ~class_Rings_Osemiring__1(_u10400) | ~hBOOL(hAPP(hAPP(c_member(_u10400), _u10401), c_Nat_Osemiring__1__class_ONats(_u10400))) | ~hBOOL(hAPP(hAPP(c_member(_u10400), _u10402), c_Nat_Osemiring__1__class_ONats(_u10400))) | hBOOL(hAPP(hAPP(c_member(_u10400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10400), _u10401), _u10402)), c_Nat_Osemiring__1__class_ONats(_u10400))) )).
% 12.32/12.57 cnf(matrix-5241, plain, ( ~class_Rings_Osemiring__1(_u10403) | ~hBOOL(hAPP(hAPP(c_member(_u10403), _u10404), c_Nat_Osemiring__1__class_ONats(_u10403))) | ~hBOOL(hAPP(hAPP(c_member(_u10403), _u10405), c_Nat_Osemiring__1__class_ONats(_u10403))) | hBOOL(hAPP(hAPP(c_member(_u10403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10403), _u10404), _u10405)), c_Nat_Osemiring__1__class_ONats(_u10403))) )).
% 12.32/12.57 cnf(matrix-5242, plain, ( ~class_Rings_Osemiring__1(_u10406) | hBOOL(hAPP(hAPP(c_member(_u10406), c_Groups_Oone__class_Oone(_u10406)), c_Nat_Osemiring__1__class_ONats(_u10406))) )).
% 12.32/12.57 cnf(matrix-5243, plain, ( ~class_Rings_Osemiring__1(_u10407) | hBOOL(hAPP(hAPP(c_member(_u10407), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10407), _u10408)), c_Nat_Osemiring__1__class_ONats(_u10407))) )).
% 12.32/12.57 cnf(matrix-5244, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10409), _u10410)) | ( 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)))), _u10410, _u10409) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5245, 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)))), _u10413, _u10415) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10413), _u10415)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10415), _u10413)) )).
% 12.32/12.57 cnf(matrix-5246, 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)))), _u10414, _u10416) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10414), _u10416)) )).
% 12.32/12.57 cnf(matrix-5247, 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)))), _u10414, _u10416) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10416), _u10414)) )).
% 12.32/12.57 cnf(matrix-5248, plain, ( ~class_Rings_Olinordered__idom(_u10417) | ~hBOOL(hAPP(hAPP(c_member(_u10417), _u10418), c_Int_Oring__1__class_OInts(_u10417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), c_Groups_Oone__class_Oone(_u10417)), _u10418)), _u10418)), c_Groups_Ozero__class_Ozero(_u10417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), _u10418), c_Groups_Ozero__class_Ozero(_u10417))) )).
% 12.32/12.57 cnf(matrix-5249, plain, ( ~class_Rings_Olinordered__idom(_u10417) | ~hBOOL(hAPP(hAPP(c_member(_u10417), _u10418), c_Int_Oring__1__class_OInts(_u10417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), _u10418), c_Groups_Ozero__class_Ozero(_u10417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10417), c_Groups_Oone__class_Oone(_u10417)), _u10418)), _u10418)), c_Groups_Ozero__class_Ozero(_u10417))) )).
% 12.32/12.57 cnf(matrix-5250, plain, ( ~class_Lattices_Olattice(_u10419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10419), _u10420)) | ~hBOOL(hAPP(hAPP(c_member(_u10419), _u10421), _u10420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10419, _u10420) = _u10421) )).
% 12.32/12.57 cnf(matrix-5251, plain, ( ~class_Lattices_Olattice(_u10419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10419), _u10420)) | ~hBOOL(hAPP(hAPP(c_member(_u10419), _u10421), _u10420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10419, _u10420) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10419), _u10421), c_Big__Operators_Olattice__class_OSup__fin(_u10419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10419, tc_HOL_Obool)), _u10420), hAPP(hAPP(c_Set_Oinsert(_u10419), _u10421), c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5252, plain, ( ~class_Orderings_Olinorder(_u10422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_member(_u10422), _u10424), _u10423)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10422, _u10423) = _u10424) )).
% 12.32/12.57 cnf(matrix-5253, plain, ( ~class_Orderings_Olinorder(_u10422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_member(_u10422), _u10424), _u10423)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10422, _u10423) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10422), _u10424), c_Big__Operators_Olinorder__class_OMax(_u10422, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10422, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10422), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10422, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5254, plain, ( ~class_Orderings_Olinorder(_u10425) | ( c_Big__Operators_Olinorder__class_OMax(_u10425, hAPP(hAPP(c_Set_Oinsert(_u10425), _u10426), c_Orderings_Obot__class_Obot(tc_fun(_u10425, tc_HOL_Obool)))) = _u10426) )).
% 12.32/12.57 cnf(matrix-5255, plain, ( ~class_Lattices_Olattice(_u10427) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10427, hAPP(hAPP(c_Set_Oinsert(_u10427), _u10428), c_Orderings_Obot__class_Obot(tc_fun(_u10427, tc_HOL_Obool)))) = _u10428) )).
% 12.32/12.57 cnf(matrix-5256, plain, ( ~class_Rings_Oring__1(_u10429) | hBOOL(hAPP(hAPP(c_member(_u10429), c_Groups_Ozero__class_Ozero(_u10429)), c_Int_Oring__1__class_OInts(_u10429))) )).
% 12.32/12.57 cnf(matrix-5257, plain, ( ~class_Rings_Oring__1(_u10430) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10431), c_Int_Oring__1__class_OInts(_u10430))) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10432), c_Int_Oring__1__class_OInts(_u10430))) | hBOOL(hAPP(hAPP(c_member(_u10430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10430), _u10431), _u10432)), c_Int_Oring__1__class_OInts(_u10430))) )).
% 12.32/12.57 cnf(matrix-5258, plain, ( ~class_Rings_Oring__1(_u10433) | ~hBOOL(hAPP(hAPP(c_member(_u10433), _u10434), c_Int_Oring__1__class_OInts(_u10433))) | ~hBOOL(hAPP(hAPP(c_member(_u10433), _u10435), c_Int_Oring__1__class_OInts(_u10433))) | hBOOL(hAPP(hAPP(c_member(_u10433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10433), _u10434), _u10435)), c_Int_Oring__1__class_OInts(_u10433))) )).
% 12.32/12.57 cnf(matrix-5259, plain, ( ~class_Rings_Oring__1(_u10436) | ~hBOOL(hAPP(hAPP(c_member(_u10436), _u10437), c_Int_Oring__1__class_OInts(_u10436))) | ~hBOOL(hAPP(hAPP(c_member(_u10436), _u10438), c_Int_Oring__1__class_OInts(_u10436))) | hBOOL(hAPP(hAPP(c_member(_u10436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10436), _u10437), _u10438)), c_Int_Oring__1__class_OInts(_u10436))) )).
% 12.32/12.57 cnf(matrix-5260, plain, ( ~class_Int_Onumber__ring(_u10439) | hBOOL(hAPP(hAPP(c_member(_u10439), hAPP(c_Int_Onumber__class_Onumber__of(_u10439), _u10440)), c_Int_Oring__1__class_OInts(_u10439))) )).
% 12.32/12.57 cnf(matrix-5261, plain, ( ~class_Rings_Oring__1(_u10441) | hBOOL(hAPP(hAPP(c_member(_u10441), c_Groups_Oone__class_Oone(_u10441)), c_Int_Oring__1__class_OInts(_u10441))) )).
% 12.32/12.57 cnf(matrix-5262, plain, ( ~class_Rings_Oring__1(_u10442) | ~hBOOL(hAPP(hAPP(c_member(_u10442), _u10443), c_Int_Oring__1__class_OInts(_u10442))) | hBOOL(hAPP(hAPP(c_member(_u10442), hAPP(c_Groups_Ouminus__class_Ouminus(_u10442), _u10443)), c_Int_Oring__1__class_OInts(_u10442))) )).
% 12.32/12.57 cnf(matrix-5263, plain, ( ~class_Rings_Oring__1(_u10444) | hBOOL(hAPP(hAPP(c_member(_u10444), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10444), _u10445)), c_Int_Oring__1__class_OInts(_u10444))) )).
% 12.32/12.57 cnf(matrix-5264, plain, ( ~class_Rings_Oring__1(_u10446) | ~hBOOL(hAPP(hAPP(c_member(_u10446), _u10447), c_Int_Oring__1__class_OInts(_u10446))) | hBOOL(hAPP(hAPP(c_member(_u10446), hAPP(hAPP(c_Power_Opower__class_Opower(_u10446), _u10447), _u10448)), c_Int_Oring__1__class_OInts(_u10446))) )).
% 12.32/12.57 cnf(matrix-5265, plain, ( ~class_Rings_Oring__1(_u10449) | hBOOL(hAPP(hAPP(c_member(_u10449), hAPP(c_Int_Oring__1__class_Oof__int(_u10449), _u10450)), c_Int_Oring__1__class_OInts(_u10449))) )).
% 12.32/12.57 cnf(matrix-5266, plain, ( ~class_Orderings_Olinorder(_u10451) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10451), _u10452)) | ~hBOOL(hAPP(hAPP(c_member(_u10451), _u10453), _u10452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10451), _u10453), c_Big__Operators_Olinorder__class_OMax(_u10451, _u10452))) )).
% 12.32/12.57 cnf(matrix-5267, plain, ( ~class_Orderings_Olinorder(_u10454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10454), _u10455)) | ( _u10455 = c_Orderings_Obot__class_Obot(tc_fun(_u10454, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10454), c_Big__Operators_Olinorder__class_OMax(_u10454, _u10455)), _u10455)) )).
% 12.32/12.57 cnf(matrix-5268, plain, ( ~class_Lattices_Olattice(_u10456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10456), _u10457)) | ~hBOOL(hAPP(hAPP(c_member(_u10456), _u10458), _u10457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10456), _u10458), c_Big__Operators_Olattice__class_OSup__fin(_u10456, _u10457)) = c_Big__Operators_Olattice__class_OSup__fin(_u10456, _u10457)) )).
% 12.32/12.57 cnf(matrix-5269, plain, ( ~class_Orderings_Olinorder(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10459), _u10460)) | ~hBOOL(hAPP(hAPP(c_member(_u10459), _u10461), _u10460)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10459), _u10461), c_Big__Operators_Olinorder__class_OMax(_u10459, _u10460)) = c_Big__Operators_Olinorder__class_OMax(_u10459, _u10460)) )).
% 12.32/12.57 cnf(matrix-5270, plain, ( ~class_Int_Oring__char__0(_u10462) | ~hBOOL(hAPP(hAPP(c_member(_u10462), _u10463), c_Int_Oring__1__class_OInts(_u10462))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10462), _u10463), _u10463) != c_Groups_Ozero__class_Ozero(_u10462)) | ( _u10463 = c_Groups_Ozero__class_Ozero(_u10462)) )).
% 12.32/12.57 cnf(matrix-5271, plain, ( ~class_Int_Oring__char__0(_u10462) | ~hBOOL(hAPP(hAPP(c_member(_u10462), _u10463), c_Int_Oring__1__class_OInts(_u10462))) | ( _u10463 != c_Groups_Ozero__class_Ozero(_u10462)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10462), _u10463), _u10463) = c_Groups_Ozero__class_Ozero(_u10462)) )).
% 12.32/12.57 cnf(matrix-5272, plain, ( ~class_Orderings_Olinorder(_u10464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10464, tc_HOL_Obool)), _u10465), _u10466)) | ( _u10465 = c_Orderings_Obot__class_Obot(tc_fun(_u10464, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10464), _u10466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10464), c_Big__Operators_Olinorder__class_OMax(_u10464, _u10465)), c_Big__Operators_Olinorder__class_OMax(_u10464, _u10466))) )).
% 12.32/12.57 cnf(matrix-5273, plain, ( ~class_Lattices_Olattice(_u10467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10467), _u10468)) | ( _u10468 = c_Orderings_Obot__class_Obot(tc_fun(_u10467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10467, hAPP(hAPP(c_Set_Oinsert(_u10467), _u10469), _u10468)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10467), _u10469), c_Big__Operators_Olattice__class_OSup__fin(_u10467, _u10468))) )).
% 12.32/12.57 cnf(matrix-5274, plain, ( ~class_Orderings_Olinorder(_u10470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10470), _u10471)) | ( _u10471 = c_Orderings_Obot__class_Obot(tc_fun(_u10470, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10470, hAPP(hAPP(c_Set_Oinsert(_u10470), _u10472), _u10471)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10470), _u10472), c_Big__Operators_Olinorder__class_OMax(_u10470, _u10471))) )).
% 12.32/12.57 cnf(matrix-5275, plain, ( ~class_Lattices_Olattice(_u10473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10473), _u10474)) | ( _u10475 = c_Orderings_Obot__class_Obot(tc_fun(_u10473, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10474)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10473), c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10475)), c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10474)) = c_Big__Operators_Olattice__class_OSup__fin(_u10473, _u10474)) )).
% 12.32/12.57 cnf(matrix-5276, plain, ( ~class_Lattices_Olattice(_u10476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10476), _u10477)) | ( _u10477 = c_Orderings_Obot__class_Obot(tc_fun(_u10476, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10476), _u10478)) | ( _u10478 = c_Orderings_Obot__class_Obot(tc_fun(_u10476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10476, tc_HOL_Obool)), _u10477), _u10478)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10476), c_Big__Operators_Olattice__class_OSup__fin(_u10476, _u10477)), c_Big__Operators_Olattice__class_OSup__fin(_u10476, _u10478))) )).
% 12.32/12.57 cnf(matrix-5277, plain, ( ~class_Orderings_Olinorder(_u10479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( _u10481 = c_Orderings_Obot__class_Obot(tc_fun(_u10479, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10479, tc_HOL_Obool)), _u10481), _u10480)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10479), c_Big__Operators_Olinorder__class_OMax(_u10479, _u10481)), c_Big__Operators_Olinorder__class_OMax(_u10479, _u10480)) = c_Big__Operators_Olinorder__class_OMax(_u10479, _u10480)) )).
% 12.32/12.57 cnf(matrix-5278, plain, ( ~class_Orderings_Olinorder(_u10482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10482), _u10483)) | ( _u10483 = c_Orderings_Obot__class_Obot(tc_fun(_u10482, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10482), _u10484)) | ( _u10484 = c_Orderings_Obot__class_Obot(tc_fun(_u10482, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10482, tc_HOL_Obool)), _u10483), _u10484)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10482), c_Big__Operators_Olinorder__class_OMax(_u10482, _u10483)), c_Big__Operators_Olinorder__class_OMax(_u10482, _u10484))) )).
% 12.32/12.57 cnf(matrix-5279, plain, ( ~class_Int_Oring__char__0(_u10485) | ~hBOOL(hAPP(hAPP(c_member(_u10485), _u10486), c_Int_Oring__1__class_OInts(_u10485))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10485), c_Groups_Oone__class_Oone(_u10485)), _u10486)), _u10486) != c_Groups_Ozero__class_Ozero(_u10485)) )).
% 12.32/12.57 cnf(matrix-5280, plain, ( ~class_Lattices_Olattice(_u10487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10487), _u10488)) | hBOOL(hAPP(hAPP(c_member(_u10487), _u10489), _u10488)) | ( _u10488 = c_Orderings_Obot__class_Obot(tc_fun(_u10487, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10487, hAPP(hAPP(c_Set_Oinsert(_u10487), _u10489), _u10488)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10487), _u10489), c_Big__Operators_Olattice__class_OSup__fin(_u10487, _u10488))) )).
% 12.32/12.57 cnf(matrix-5281, plain, ( ~class_Orderings_Olinorder(_u10490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10490), _u10491)) | hBOOL(hAPP(hAPP(c_member(_u10490), _u10492), _u10491)) | ( _u10491 = c_Orderings_Obot__class_Obot(tc_fun(_u10490, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10490, hAPP(hAPP(c_Set_Oinsert(_u10490), _u10492), _u10491)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10490), _u10492), c_Big__Operators_Olinorder__class_OMax(_u10490, _u10491))) )).
% 12.32/12.57 cnf(matrix-5282, plain, ( ~class_Lattices_Olattice(_u10493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), _u10494)) = _u10495) )).
% 12.32/12.57 cnf(matrix-5283, plain, ( ~class_Lattices_Olattice(_u10493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), _u10494)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10493), _u10495), c_Big__Operators_Olattice__class_OSup__fin(_u10493, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10493, tc_HOL_Obool)), _u10494), hAPP(hAPP(c_Set_Oinsert(_u10493), _u10495), c_Orderings_Obot__class_Obot(tc_fun(_u10493, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5284, plain, ( ~class_Orderings_Olinorder(_u10496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10496), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), _u10497)) = _u10498) )).
% 12.32/12.57 cnf(matrix-5285, plain, ( ~class_Orderings_Olinorder(_u10496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10496), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), _u10497)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10496), _u10498), c_Big__Operators_Olinorder__class_OMax(_u10496, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10496, tc_HOL_Obool)), _u10497), hAPP(hAPP(c_Set_Oinsert(_u10496), _u10498), c_Orderings_Obot__class_Obot(tc_fun(_u10496, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5286, plain, ( ~class_Orderings_Olinorder(_u10501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10501), _u10502)) | ( _u10502 = c_Orderings_Obot__class_Obot(tc_fun(_u10501, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10501), skolem204(_u10502, _u10501)), skolem205(_u10502, _u10501))), hAPP(hAPP(c_Set_Oinsert(_u10501), skolem204(_u10502, _u10501)), hAPP(hAPP(c_Set_Oinsert(_u10501), skolem205(_u10502, _u10501)), c_Orderings_Obot__class_Obot(tc_fun(_u10501, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10501), c_Big__Operators_Olinorder__class_OMax(_u10501, _u10502)), _u10502)) )).
% 12.32/12.57 cnf(matrix-5287, plain, ( ~class_Lattices_Olattice(_u10505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10505), _u10506)) | ( _u10506 = c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10505), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10505), skolem206(_u10506, _u10505)), skolem207(_u10506, _u10505))), hAPP(hAPP(c_Set_Oinsert(_u10505), skolem206(_u10506, _u10505)), hAPP(hAPP(c_Set_Oinsert(_u10505), skolem207(_u10506, _u10505)), c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10505), c_Big__Operators_Olattice__class_OSup__fin(_u10505, _u10506)), _u10506)) )).
% 12.32/12.57 cnf(matrix-5288, plain, ( ~class_Orderings_Olinorder(_u10507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10507), _u10508)) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10509), _u10508)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10507, _u10508) = _u10509) )).
% 12.32/12.57 cnf(matrix-5289, plain, ( ~class_Orderings_Olinorder(_u10507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10507), _u10508)) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10509), _u10508)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10507, _u10508) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10507), _u10509), c_Big__Operators_Olinorder__class_OMin(_u10507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10507, tc_HOL_Obool)), _u10508), hAPP(hAPP(c_Set_Oinsert(_u10507), _u10509), c_Orderings_Obot__class_Obot(tc_fun(_u10507, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5290, plain, ( ~class_Orderings_Olinorder(_u10510) | ( c_Big__Operators_Olinorder__class_OMin(_u10510, hAPP(hAPP(c_Set_Oinsert(_u10510), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10510, tc_HOL_Obool)))) = _u10511) )).
% 12.32/12.57 cnf(matrix-5291, plain, ( ~class_Orderings_Olinorder(_u10512) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10512), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(_u10512), _u10514), _u10513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10512), c_Big__Operators_Olinorder__class_OMin(_u10512, _u10513)), _u10514)) )).
% 12.32/12.57 cnf(matrix-5292, plain, ( ~class_Orderings_Olinorder(_u10515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10515), _u10516)) | ( _u10516 = c_Orderings_Obot__class_Obot(tc_fun(_u10515, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10515), c_Big__Operators_Olinorder__class_OMin(_u10515, _u10516)), _u10516)) )).
% 12.32/12.57 cnf(matrix-5293, plain, ( ~class_Orderings_Olinorder(_u10517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10517), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(_u10517), _u10519), _u10518)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10517), _u10519), c_Big__Operators_Olinorder__class_OMin(_u10517, _u10518)) = c_Big__Operators_Olinorder__class_OMin(_u10517, _u10518)) )).
% 12.32/12.57 cnf(matrix-5294, plain, ( ~class_Orderings_Olinorder(_u10520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10520, tc_HOL_Obool)), _u10521), _u10522)) | ( _u10521 = c_Orderings_Obot__class_Obot(tc_fun(_u10520, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10520), _u10522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10520), c_Big__Operators_Olinorder__class_OMin(_u10520, _u10522)), c_Big__Operators_Olinorder__class_OMin(_u10520, _u10521))) )).
% 12.32/12.57 cnf(matrix-5295, plain, ( ~class_Orderings_Olinorder(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10523), _u10524)) | ( _u10524 = c_Orderings_Obot__class_Obot(tc_fun(_u10523, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10523, hAPP(hAPP(c_Set_Oinsert(_u10523), _u10525), _u10524)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10523), _u10525), c_Big__Operators_Olinorder__class_OMin(_u10523, _u10524))) )).
% 12.32/12.57 cnf(matrix-5296, plain, ( ~class_Orderings_Olinorder(_u10526) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10526), _u10527)) | ( _u10528 = c_Orderings_Obot__class_Obot(tc_fun(_u10526, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10526, tc_HOL_Obool)), _u10528), _u10527)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10526), c_Big__Operators_Olinorder__class_OMin(_u10526, _u10528)), c_Big__Operators_Olinorder__class_OMin(_u10526, _u10527)) = c_Big__Operators_Olinorder__class_OMin(_u10526, _u10527)) )).
% 12.32/12.57 cnf(matrix-5297, plain, ( ~class_Orderings_Olinorder(_u10529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10529), _u10530)) | ( _u10530 = c_Orderings_Obot__class_Obot(tc_fun(_u10529, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10529), _u10531)) | ( _u10531 = c_Orderings_Obot__class_Obot(tc_fun(_u10529, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10529, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10529, tc_HOL_Obool)), _u10530), _u10531)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10529), c_Big__Operators_Olinorder__class_OMin(_u10529, _u10530)), c_Big__Operators_Olinorder__class_OMin(_u10529, _u10531))) )).
% 12.32/12.57 cnf(matrix-5298, plain, ( ~class_Orderings_Olinorder(_u10532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10532), _u10533)) | hBOOL(hAPP(hAPP(c_member(_u10532), _u10534), _u10533)) | ( _u10533 = c_Orderings_Obot__class_Obot(tc_fun(_u10532, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10532, hAPP(hAPP(c_Set_Oinsert(_u10532), _u10534), _u10533)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10532), _u10534), c_Big__Operators_Olinorder__class_OMin(_u10532, _u10533))) )).
% 12.32/12.57 cnf(matrix-5299, plain, ( ~class_Orderings_Olinorder(_u10535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10535), _u10536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), _u10536)) = _u10537) )).
% 12.32/12.57 cnf(matrix-5300, plain, ( ~class_Orderings_Olinorder(_u10535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10535), _u10536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), _u10536)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10535), _u10537), c_Big__Operators_Olinorder__class_OMin(_u10535, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10535, tc_HOL_Obool)), _u10536), hAPP(hAPP(c_Set_Oinsert(_u10535), _u10537), c_Orderings_Obot__class_Obot(tc_fun(_u10535, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5301, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10538), _u10539)) | ( _u10539 = c_Orderings_Obot__class_Obot(tc_fun(_u10538, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10538), c_Big__Operators_Olinorder__class_OMax(_u10538, _u10539)) = c_Big__Operators_Olinorder__class_OMin(_u10538, hAPP(c_Set_Oimage(_u10538, _u10538, c_Groups_Ouminus__class_Ouminus(_u10538)), _u10539))) )).
% 12.32/12.57 cnf(matrix-5302, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10540), _u10541)) | ( _u10541 = c_Orderings_Obot__class_Obot(tc_fun(_u10540, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10540), c_Big__Operators_Olinorder__class_OMin(_u10540, _u10541)) = c_Big__Operators_Olinorder__class_OMax(_u10540, hAPP(c_Set_Oimage(_u10540, _u10540, c_Groups_Ouminus__class_Ouminus(_u10540)), _u10541))) )).
% 12.32/12.57 cnf(matrix-5303, plain, ( ~class_Orderings_Olinorder(_u10544) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10544), _u10545)) | ( _u10545 = c_Orderings_Obot__class_Obot(tc_fun(_u10544, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10544), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10544), skolem208(_u10545, _u10544)), skolem209(_u10545, _u10544))), hAPP(hAPP(c_Set_Oinsert(_u10544), skolem208(_u10545, _u10544)), hAPP(hAPP(c_Set_Oinsert(_u10544), skolem209(_u10545, _u10544)), c_Orderings_Obot__class_Obot(tc_fun(_u10544, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10544), c_Big__Operators_Olinorder__class_OMin(_u10544, _u10545)), _u10545)) )).
% 12.32/12.57 cnf(matrix-5304, plain, ( hBOOL(hAPP(hAPP(c_member(_u10546), _u10547), c_Orderings_Otop__class_Otop(tc_fun(_u10546, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5305, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), _u10567)) )).
% 12.32/12.57 cnf(matrix-5306, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = hAPP(hAPP(_u10563, skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559))) )).
% 12.32/12.57 cnf(matrix-5307, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( _u10567 = c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10559, tc_HOL_Obool)), _u10567), hAPP(hAPP(c_Set_Oinsert(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool)))), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)) )).
% 12.32/12.57 cnf(matrix-5308, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | hBOOL(hAPP(hAPP(c_member(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), _u10567)) )).
% 12.32/12.57 cnf(matrix-5309, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = hAPP(hAPP(_u10563, skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559))) )).
% 12.32/12.57 cnf(matrix-5310, plain, ( ~c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, _u10567, hAPP(hAPP(_u10563, _u10569), _u10571)) | ( hAPP(hAPP(_u10563, _u10569), _u10571) = _u10565) | c_Nitpick_Ofold__graph_H(_u10559, _u10561, _u10563, _u10565, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10559, tc_HOL_Obool)), _u10567), hAPP(hAPP(c_Set_Oinsert(_u10559), skolem210(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)), c_Orderings_Obot__class_Obot(tc_fun(_u10559, tc_HOL_Obool)))), skolem211(_u10571, _u10569, _u10567, _u10565, _u10563, _u10561, _u10559)) )).
% 12.32/12.57 cnf(matrix-5311, plain, ( c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, _u10568, hAPP(hAPP(_u10564, _u10570), _u10572)) | ( _u10568 != c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool))) | ( hAPP(hAPP(_u10564, _u10570), _u10572) != _u10566) )).
% 12.32/12.57 cnf(matrix-5312, plain, ( c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, _u10568, hAPP(hAPP(_u10564, _u10570), _u10572)) | ~hBOOL(hAPP(hAPP(c_member(_u10560), _u10551), _u10568)) | ( hAPP(hAPP(_u10564, _u10570), _u10572) != hAPP(hAPP(_u10564, _u10551), _u10550)) | ~c_Nitpick_Ofold__graph_H(_u10560, _u10562, _u10564, _u10566, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10560, tc_HOL_Obool)), _u10568), hAPP(hAPP(c_Set_Oinsert(_u10560), _u10551), c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool)))), _u10550) )).
% 12.32/12.57 cnf(matrix-5313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10585), _u10587)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10589), _u10591))), c_Wellfounded_Olex__prod(_u10581, _u10583, _u10593, _u10595))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10581, _u10581)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10581), _u10585), _u10589)), _u10593)) | ( _u10585 = _u10589) )).
% 12.32/12.57 cnf(matrix-5314, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10581, _u10583), tc_prod(_u10581, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10585), _u10587)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10583), _u10589), _u10591))), c_Wellfounded_Olex__prod(_u10581, _u10583, _u10593, _u10595))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10581, _u10581)), hAPP(hAPP(c_Product__Type_OPair(_u10581, _u10581), _u10585), _u10589)), _u10593)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10583, _u10583)), hAPP(hAPP(c_Product__Type_OPair(_u10583, _u10583), _u10587), _u10591)), _u10595)) )).
% 12.32/12.57 cnf(matrix-5315, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10586), _u10588)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10590), _u10592))), c_Wellfounded_Olex__prod(_u10582, _u10584, _u10594, _u10596))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10582, _u10582)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10582), _u10586), _u10590)), _u10594)) )).
% 12.32/12.57 cnf(matrix-5316, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10582, _u10584), tc_prod(_u10582, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10586), _u10588)), hAPP(hAPP(c_Product__Type_OPair(_u10582, _u10584), _u10590), _u10592))), c_Wellfounded_Olex__prod(_u10582, _u10584, _u10594, _u10596))) | ( _u10586 != _u10590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10584, _u10584)), hAPP(hAPP(c_Product__Type_OPair(_u10584, _u10584), _u10588), _u10592)), _u10596)) )).
% 12.32/12.57 cnf(matrix-5317, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10601), _u10603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10605), _u10607)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10601, _u10605)), c_Sum__Type_OPlus(_u10601, _u10605, _u10603, _u10607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10601), _u10603)), hAPP(c_Finite__Set_Ocard(_u10605), _u10607))) )).
% 12.32/12.57 cnf(matrix-5318, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10602, _u10606)), c_Sum__Type_OPlus(_u10602, _u10606, _u10604, _u10608)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10602), _u10604)) )).
% 12.32/12.57 cnf(matrix-5319, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10602, _u10606)), c_Sum__Type_OPlus(_u10602, _u10606, _u10604, _u10608)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10606), _u10608)) )).
% 12.32/12.57 cnf(matrix-5320, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)), c_Wellfounded_Ofinite__psubset(_u10612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)) )).
% 12.32/12.57 cnf(matrix-5321, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10612, tc_HOL_Obool), tc_fun(_u10612, tc_HOL_Obool)), _u10614), _u10616)), c_Wellfounded_Ofinite__psubset(_u10612))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10612), _u10616)) )).
% 12.32/12.57 cnf(matrix-5322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10613, tc_HOL_Obool)), _u10615), _u10617)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10613), _u10617)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10613, tc_HOL_Obool), tc_fun(_u10613, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10613, tc_HOL_Obool), tc_fun(_u10613, tc_HOL_Obool)), _u10615), _u10617)), c_Wellfounded_Ofinite__psubset(_u10613))) )).
% 12.32/12.57 cnf(matrix-5323, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10618), _u10619), _u10620)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u10621, _u10618)), hAPP(c_Sum__Type_OInr(_u10618, _u10621), _u10619)), c_Sum__Type_OPlus(_u10621, _u10618, _u10622, _u10620))) )).
% 12.32/12.57 cnf(matrix-5324, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10623), _u10624), _u10625)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u10623, _u10626)), hAPP(c_Sum__Type_OInl(_u10623, _u10626), _u10624)), c_Sum__Type_OPlus(_u10623, _u10626, _u10625, _u10627))) )).
% 12.32/12.57 cnf(matrix-5325, plain, ( ( c_Sum__Type_OPlus(_u10632, _u10634, _u10636, _u10638) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10632, _u10634), tc_HOL_Obool))) | ( _u10636 = c_Orderings_Obot__class_Obot(tc_fun(_u10632, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5326, plain, ( ( c_Sum__Type_OPlus(_u10632, _u10634, _u10636, _u10638) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10632, _u10634), tc_HOL_Obool))) | ( _u10638 = c_Orderings_Obot__class_Obot(tc_fun(_u10634, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5327, plain, ( ( _u10637 != c_Orderings_Obot__class_Obot(tc_fun(_u10633, tc_HOL_Obool))) | ( _u10639 != c_Orderings_Obot__class_Obot(tc_fun(_u10635, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u10633, _u10635, _u10637, _u10639) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10633, _u10635), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5328, plain, ( ( c_Sum__Type_OPlus(_u10640, _u10641, _u10642, _u10643) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(_u10640, _u10641), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10640, tc_sum(_u10640, _u10641), c_Sum__Type_OInl(_u10640, _u10641)), _u10642)), hAPP(c_Set_Oimage(_u10641, tc_sum(_u10640, _u10641), c_Sum__Type_OInr(_u10641, _u10640)), _u10643))) )).
% 12.32/12.57 cnf(matrix-5329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10648, _u10650)), c_Sum__Type_OPlus(_u10648, _u10650, _u10652, _u10654))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10648), _u10652)) )).
% 12.32/12.57 cnf(matrix-5330, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10648, _u10650)), c_Sum__Type_OPlus(_u10648, _u10650, _u10652, _u10654))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10650), _u10654)) )).
% 12.32/12.57 cnf(matrix-5331, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10649), _u10653)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10651), _u10655)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10649, _u10651)), c_Sum__Type_OPlus(_u10649, _u10651, _u10653, _u10655))) )).
% 12.32/12.57 cnf(matrix-5332, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10656), _u10657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10658), _u10659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10656, _u10658)), c_Sum__Type_OPlus(_u10656, _u10658, _u10657, _u10659))) )).
% 12.32/12.57 cnf(matrix-5333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10660, _u10661)), c_Sum__Type_OPlus(_u10660, _u10661, _u10662, _u10663))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10662)) )).
% 12.32/12.57 cnf(matrix-5334, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10665), _u10667)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10664, _u10665)), c_Sum__Type_OPlus(_u10664, _u10665, _u10666, _u10667))) )).
% 12.32/12.57 cnf(matrix-5335, plain, ( ( c_Sum__Type_OPlus(_u10668, _u10669, c_Orderings_Otop__class_Otop(tc_fun(_u10668, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10669, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u10668, _u10669), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5336, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10670), _u10671)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10672), _u10673)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10670, _u10672)), c_Sum__Type_OPlus(_u10670, _u10672, _u10671, _u10673)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10670), _u10671)), hAPP(c_Finite__Set_Ocard(_u10672), _u10673))) )).
% 12.32/12.57 cnf(matrix-5337, plain, ( ~hBOOL(hAPP(_u10674, _u10675)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10676, _u10676)), hAPP(hAPP(c_Product__Type_OPair(_u10676, _u10676), _u10677), _u10678)), hAPP(_u10679, _u10675))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10680, _u10676), tc_prod(_u10680, _u10676))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10680, _u10676), tc_prod(_u10680, _u10676)), hAPP(hAPP(c_Product__Type_OPair(_u10680, _u10676), _u10675), _u10677)), hAPP(hAPP(c_Product__Type_OPair(_u10680, _u10676), _u10675), _u10678))), c_Recdef_Osame__fst(_u10680, _u10676, _u10674, _u10679))) )).
% 12.32/12.57 cnf(matrix-5338, plain, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10681), _u10682)) | ~hBOOL(hAPP(hAPP(c_member(_u10681), _u10683), _u10682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), _u10682) = _u10683) )).
% 12.32/12.57 cnf(matrix-5339, plain, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10681), _u10682)) | ~hBOOL(hAPP(hAPP(c_member(_u10681), _u10683), _u10682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), _u10682) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10681), _u10683), c_Big__Operators_Olattice_OSup__fin(_u10681, c_Orderings_Oord__class_Omax(_u10681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10681, tc_HOL_Obool)), _u10682), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5340, plain, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ~hBOOL(hAPP(hAPP(c_member(_u10684), _u10686), _u10685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), _u10685) = _u10686) )).
% 12.32/12.57 cnf(matrix-5341, plain, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ~hBOOL(hAPP(hAPP(c_member(_u10684), _u10686), _u10685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), _u10685) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10684), _u10686), c_Big__Operators_Olattice_OInf__fin(_u10684, c_Orderings_Oord__class_Omin(_u10684), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10684, tc_HOL_Obool)), _u10685), hAPP(hAPP(c_Set_Oinsert(_u10684), _u10686), c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5342, plain, ( ~class_Orderings_Olinorder(_u10687) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10687), _u10688)) | ( _u10688 = c_Orderings_Obot__class_Obot(tc_fun(_u10687, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10687), c_Big__Operators_Olattice_OInf__fin(_u10687, c_Orderings_Oord__class_Omin(_u10687), _u10688)), c_Big__Operators_Olattice_OSup__fin(_u10687, c_Orderings_Oord__class_Omax(_u10687), _u10688))) )).
% 12.32/12.57 cnf(matrix-5343, plain, ( ~class_Orderings_Olinorder(_u10689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10689), _u10690)) | ~hBOOL(hAPP(hAPP(c_member(_u10689), _u10691), _u10690)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10689), _u10691), c_Big__Operators_Olattice_OInf__fin(_u10689, c_Orderings_Oord__class_Omin(_u10689), _u10690)) = c_Big__Operators_Olattice_OInf__fin(_u10689, c_Orderings_Oord__class_Omin(_u10689), _u10690)) )).
% 12.32/12.57 cnf(matrix-5344, plain, ( ~class_Orderings_Olinorder(_u10692) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10692), _u10693)) | ~hBOOL(hAPP(hAPP(c_member(_u10692), _u10694), _u10693)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10692), _u10694), c_Big__Operators_Olattice_OSup__fin(_u10692, c_Orderings_Oord__class_Omax(_u10692), _u10693)) = c_Big__Operators_Olattice_OSup__fin(_u10692, c_Orderings_Oord__class_Omax(_u10692), _u10693)) )).
% 12.32/12.57 cnf(matrix-5345, plain, ( ~class_Orderings_Olinorder(_u10695) | ( c_Big__Operators_Olattice_OInf__fin(_u10695, c_Orderings_Oord__class_Omin(_u10695), hAPP(hAPP(c_Set_Oinsert(_u10695), _u10696), c_Orderings_Obot__class_Obot(tc_fun(_u10695, tc_HOL_Obool)))) = _u10696) )).
% 12.32/12.57 cnf(matrix-5346, plain, ( ~class_Orderings_Olinorder(_u10697) | ( c_Big__Operators_Olattice_OSup__fin(_u10697, c_Orderings_Oord__class_Omax(_u10697), hAPP(hAPP(c_Set_Oinsert(_u10697), _u10698), c_Orderings_Obot__class_Obot(tc_fun(_u10697, tc_HOL_Obool)))) = _u10698) )).
% 12.32/12.57 cnf(matrix-5347, plain, ( ~class_Orderings_Olinorder(_u10699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10699), _u10700)) | ( _u10700 = c_Orderings_Obot__class_Obot(tc_fun(_u10699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10699, c_Orderings_Oord__class_Omin(_u10699), hAPP(hAPP(c_Set_Oinsert(_u10699), _u10701), _u10700)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), _u10701), c_Big__Operators_Olattice_OInf__fin(_u10699, c_Orderings_Oord__class_Omin(_u10699), _u10700))) )).
% 12.32/12.57 cnf(matrix-5348, plain, ( ~class_Orderings_Olinorder(_u10702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10702), _u10703)) | ( _u10703 = c_Orderings_Obot__class_Obot(tc_fun(_u10702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10702, c_Orderings_Oord__class_Omax(_u10702), hAPP(hAPP(c_Set_Oinsert(_u10702), _u10704), _u10703)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10702), _u10704), c_Big__Operators_Olattice_OSup__fin(_u10702, c_Orderings_Oord__class_Omax(_u10702), _u10703))) )).
% 12.32/12.57 cnf(matrix-5349, plain, ( ~class_Orderings_Olinorder(_u10705) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10705), _u10706)) | ( _u10707 = c_Orderings_Obot__class_Obot(tc_fun(_u10705, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10705, tc_HOL_Obool)), _u10707), _u10706)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10705), c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10707)), c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10706)) = c_Big__Operators_Olattice_OInf__fin(_u10705, c_Orderings_Oord__class_Omin(_u10705), _u10706)) )).
% 12.32/12.57 cnf(matrix-5350, plain, ( ~class_Orderings_Olinorder(_u10708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10708), _u10709)) | ( _u10710 = c_Orderings_Obot__class_Obot(tc_fun(_u10708, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10708, tc_HOL_Obool)), _u10710), _u10709)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10708), c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10710)), c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10709)) = c_Big__Operators_Olattice_OSup__fin(_u10708, c_Orderings_Oord__class_Omax(_u10708), _u10709)) )).
% 12.32/12.57 cnf(matrix-5351, plain, ( ~class_Orderings_Olinorder(_u10711) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10711), _u10712)) | ~hBOOL(hAPP(hAPP(c_member(_u10711), _u10713), _u10712)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10711), _u10713), c_Big__Operators_Olattice_OInf__fin(_u10711, c_Orderings_Oord__class_Omin(_u10711), _u10712)) = _u10713) )).
% 12.32/12.57 cnf(matrix-5352, plain, ( ~class_Orderings_Olinorder(_u10714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10714), _u10715)) | ~hBOOL(hAPP(hAPP(c_member(_u10714), _u10716), _u10715)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10714), _u10716), c_Big__Operators_Olattice_OSup__fin(_u10714, c_Orderings_Oord__class_Omax(_u10714), _u10715)) = _u10716) )).
% 12.32/12.57 cnf(matrix-5353, plain, ( ~class_Orderings_Olinorder(_u10717) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10717), _u10718)) | ( _u10718 = c_Orderings_Obot__class_Obot(tc_fun(_u10717, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10717), _u10719)) | ( _u10719 = c_Orderings_Obot__class_Obot(tc_fun(_u10717, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10717, tc_HOL_Obool)), _u10718), _u10719)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10717), c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), _u10718)), c_Big__Operators_Olattice_OInf__fin(_u10717, c_Orderings_Oord__class_Omin(_u10717), _u10719))) )).
% 12.32/12.57 cnf(matrix-5354, plain, ( ~class_Orderings_Olinorder(_u10720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10720), _u10721)) | ( _u10721 = c_Orderings_Obot__class_Obot(tc_fun(_u10720, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10720), _u10722)) | ( _u10722 = c_Orderings_Obot__class_Obot(tc_fun(_u10720, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10720, tc_HOL_Obool)), _u10721), _u10722)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), _u10721)), c_Big__Operators_Olattice_OSup__fin(_u10720, c_Orderings_Oord__class_Omax(_u10720), _u10722))) )).
% 12.32/12.57 cnf(matrix-5355, plain, ( ~class_Orderings_Olinorder(_u10723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10723), _u10724)) | hBOOL(hAPP(hAPP(c_member(_u10723), _u10725), _u10724)) | ( _u10724 = c_Orderings_Obot__class_Obot(tc_fun(_u10723, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10723, c_Orderings_Oord__class_Omin(_u10723), hAPP(hAPP(c_Set_Oinsert(_u10723), _u10725), _u10724)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10723), _u10725), c_Big__Operators_Olattice_OInf__fin(_u10723, c_Orderings_Oord__class_Omin(_u10723), _u10724))) )).
% 12.32/12.57 cnf(matrix-5356, plain, ( ~class_Orderings_Olinorder(_u10726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10726), _u10727)) | hBOOL(hAPP(hAPP(c_member(_u10726), _u10728), _u10727)) | ( _u10727 = c_Orderings_Obot__class_Obot(tc_fun(_u10726, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10726, c_Orderings_Oord__class_Omax(_u10726), hAPP(hAPP(c_Set_Oinsert(_u10726), _u10728), _u10727)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10726), _u10728), c_Big__Operators_Olattice_OSup__fin(_u10726, c_Orderings_Oord__class_Omax(_u10726), _u10727))) )).
% 12.32/12.57 cnf(matrix-5357, plain, ( ~class_Orderings_Olinorder(_u10729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10729), _u10730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), _u10730)) = _u10731) )).
% 12.32/12.57 cnf(matrix-5358, plain, ( ~class_Orderings_Olinorder(_u10729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10729), _u10730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), _u10730)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10729), _u10731), c_Big__Operators_Olattice_OInf__fin(_u10729, c_Orderings_Oord__class_Omin(_u10729), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10729, tc_HOL_Obool)), _u10730), hAPP(hAPP(c_Set_Oinsert(_u10729), _u10731), c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5359, plain, ( ~class_Orderings_Olinorder(_u10732) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10732), _u10733)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), _u10733)) = _u10734) )).
% 12.32/12.57 cnf(matrix-5360, plain, ( ~class_Orderings_Olinorder(_u10732) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10732), _u10733)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), _u10733)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10732), _u10734), c_Big__Operators_Olattice_OSup__fin(_u10732, c_Orderings_Oord__class_Omax(_u10732), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10732, tc_HOL_Obool)), _u10733), hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), c_Orderings_Obot__class_Obot(tc_fun(_u10732, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5361, plain, ( ~class_Orderings_Olinorder(_u10737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10737), _u10738)) | ( _u10738 = c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10737), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10737), skolem212(_u10738, _u10737)), skolem213(_u10738, _u10737))), hAPP(hAPP(c_Set_Oinsert(_u10737), skolem212(_u10738, _u10737)), hAPP(hAPP(c_Set_Oinsert(_u10737), skolem213(_u10738, _u10737)), c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10737), c_Big__Operators_Olattice_OSup__fin(_u10737, c_Orderings_Oord__class_Omax(_u10737), _u10738)), _u10738)) )).
% 12.32/12.57 cnf(matrix-5362, plain, ( ~class_Orderings_Olinorder(_u10741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10741), _u10742)) | ( _u10742 = c_Orderings_Obot__class_Obot(tc_fun(_u10741, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10741), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10741), skolem214(_u10742, _u10741)), skolem215(_u10742, _u10741))), hAPP(hAPP(c_Set_Oinsert(_u10741), skolem214(_u10742, _u10741)), hAPP(hAPP(c_Set_Oinsert(_u10741), skolem215(_u10742, _u10741)), c_Orderings_Obot__class_Obot(tc_fun(_u10741, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10741), c_Big__Operators_Olattice_OInf__fin(_u10741, c_Orderings_Oord__class_Omin(_u10741), _u10742)), _u10742)) )).
% 12.32/12.57 cnf(matrix-5363, plain, ( ~c_Finite__Set_Ofolding__one(_u10745, _u10746, _u10747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10745), _u10748)) | ( _u10748 = c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10745), hAPP(hAPP(_u10746, skolem216(_u10748, _u10747, _u10746, _u10745)), skolem217(_u10748, _u10747, _u10746, _u10745))), hAPP(hAPP(c_Set_Oinsert(_u10745), skolem216(_u10748, _u10747, _u10746, _u10745)), hAPP(hAPP(c_Set_Oinsert(_u10745), skolem217(_u10748, _u10747, _u10746, _u10745)), c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10745), hAPP(_u10747, _u10748)), _u10748)) )).
% 12.32/12.57 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10755), _u10757), _u10759)) | ( hAPP(c_Set_Oimage(_u10755, _u10761, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10755, _u10761), _u10763), _u10757), _u10765)), _u10759) = hAPP(hAPP(c_Set_Oinsert(_u10761), _u10765), hAPP(c_Set_Oimage(_u10755, _u10761, _u10763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10755, tc_HOL_Obool)), _u10759), hAPP(hAPP(c_Set_Oinsert(_u10755), _u10757), c_Orderings_Obot__class_Obot(tc_fun(_u10755, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5365, plain, ( hBOOL(hAPP(hAPP(c_member(_u10756), _u10758), _u10760)) | ( hAPP(c_Set_Oimage(_u10756, _u10762, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10756, _u10762), _u10764), _u10758), _u10766)), _u10760) = hAPP(c_Set_Oimage(_u10756, _u10762, _u10764), _u10760)) )).
% 12.32/12.57 cnf(matrix-5366, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | ~hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10768, _u10767), hAPP(hAPP(c_COMBC(_u10768, _u10767, _u10767), hAPP(hAPP(c_COMBS(_u10768, _u10767, tc_fun(_u10767, _u10767)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10767, tc_fun(_u10767, _u10767)), _u10768), c_If(_u10767)), hAPP(hAPP(c_COMBC(_u10768, _u10768, tc_HOL_Obool), c_fequal), _u10770))), _u10771)), _u10772)), _u10769) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10767), hAPP(_u10771, _u10770)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10767), _u10772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10768), _u10769)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.32/12.57 cnf(matrix-5367, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10768, _u10767), hAPP(hAPP(c_COMBC(_u10768, _u10767, _u10767), hAPP(hAPP(c_COMBS(_u10768, _u10767, tc_fun(_u10767, _u10767)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10767, tc_fun(_u10767, _u10767)), _u10768), c_If(_u10767)), hAPP(hAPP(c_COMBC(_u10768, _u10768, tc_HOL_Obool), c_fequal), _u10770))), _u10771)), _u10772)), _u10769) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10767), _u10772), hAPP(c_Finite__Set_Ocard(_u10768), _u10769))) )).
% 12.32/12.57 cnf(matrix-5368, plain, ( ~class_Groups_Oordered__ab__group__add(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10775), _u10776)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10775, _u10774), _u10777), _u10776) != c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_member(_u10775), _u10778), _u10776)) | ( hAPP(_u10777, _u10778) = c_Groups_Ozero__class_Ozero(_u10774)) | hBOOL(hAPP(hAPP(c_member(_u10775), skolem218(_u10778, _u10777, _u10776, _u10775, _u10774)), _u10776)) )).
% 12.32/12.57 cnf(matrix-5369, plain, ( ~class_Groups_Oordered__ab__group__add(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10775), _u10776)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10775, _u10774), _u10777), _u10776) != c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_member(_u10775), _u10778), _u10776)) | ( hAPP(_u10777, _u10778) = c_Groups_Ozero__class_Ozero(_u10774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10774), c_Groups_Ozero__class_Ozero(_u10774)), hAPP(_u10777, skolem218(_u10778, _u10777, _u10776, _u10775, _u10774)))) )).
% 12.32/12.57 cnf(matrix-5370, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10779, _u10780), _u10781), _u10782), hAPP(_u10781, _u10782)) = _u10781) )).
% 12.32/12.57 cnf(matrix-5371, plain, ( ~class_Fields_Olinordered__field(_u10783) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10783), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10784, _u10783), _u10785), _u10786)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10784, _u10783), hAPP(hAPP(c_COMBB(_u10783, _u10783, _u10784), c_Groups_Oabs__class_Oabs(_u10783)), _u10785)), _u10786)) )).
% 12.32/12.57 cnf(matrix-5372, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10787) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10788, _u10787), hAPP(c_COMBK(_u10787, _u10788), c_Groups_Oone__class_Oone(_u10787))), _u10789) = c_Groups_Oone__class_Oone(_u10787)) )).
% 12.32/12.57 cnf(matrix-5373, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10790) | ~class_Rings_Oring__1(_u10790) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10790), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, tc_Int_Oint), _u10792), _u10793)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, _u10790), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10790, _u10791), c_Int_Oring__1__class_Oof__int(_u10790)), _u10792)), _u10793)) )).
% 12.32/12.57 cnf(matrix-5374, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10794, tc_Nat_Onat), _u10795), _u10796) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10794, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10794), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10795)), _u10796))) )).
% 12.32/12.57 cnf(matrix-5375, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10797) | ~class_Rings_Osemiring__1(_u10797) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10797), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10798, tc_Nat_Onat), _u10799), _u10800)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10798, _u10797), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10797, _u10798), c_Nat_Osemiring__1__class_Oof__nat(_u10797)), _u10799)), _u10800)) )).
% 12.32/12.57 cnf(matrix-5376, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10801, tc_Nat_Onat), _u10802), _u10803)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10801, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10801), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10802)), _u10803)) )).
% 12.32/12.57 cnf(matrix-5377, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10804) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), hAPP(hAPP(c_COMBS(_u10805, _u10804, _u10804), hAPP(hAPP(c_COMBB(_u10804, tc_fun(_u10804, _u10804), _u10805), c_Groups_Otimes__class_Otimes(_u10804)), _u10806)), _u10807)), _u10808) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10804), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), _u10806), _u10808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10805, _u10804), _u10807), _u10808))) )).
% 12.32/12.57 cnf(matrix-5378, plain, ( ( hAPP(_u10809, _u10810) != _u10811) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10812, _u10813), _u10809), _u10810), _u10811) = _u10809) )).
% 12.32/12.57 cnf(matrix-5379, plain, ( ( _u10814 = _u10815) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10816, _u10817), _u10818), _u10815), _u10819), _u10814) = hAPP(_u10818, _u10814)) )).
% 12.32/12.57 cnf(matrix-5380, plain, ( ( _u10820 = _u10821) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), _u10824), _u10820), _u10825)), _u10821), _u10826) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10822, _u10823), _u10824), _u10821), _u10826)), _u10820), _u10825)) )).
% 12.32/12.57 cnf(matrix-5381, plain, ( ( _u10833 != _u10835) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10837, _u10839), _u10841), _u10835), _u10843), _u10833) = _u10843) )).
% 12.32/12.57 cnf(matrix-5382, plain, ( ( _u10834 = _u10836) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10838, _u10840), _u10842), _u10836), _u10844), _u10834) = hAPP(_u10842, _u10834)) )).
% 12.32/12.57 cnf(matrix-5383, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10845, _u10846), _u10847), _u10848), _u10849), _u10848) = _u10849) )).
% 12.32/12.57 cnf(matrix-5384, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), _u10852), _u10853), _u10854)), _u10853), _u10855) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10850, _u10851), _u10852), _u10853), _u10855)) )).
% 12.32/12.57 cnf(matrix-5385, plain, ( ( hAPP(_u10865, _u10867) = _u10869) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10861, _u10863), _u10865), _u10867), _u10869) != _u10865) )).
% 12.32/12.57 cnf(matrix-5386, plain, ( ( hAPP(_u10866, _u10868) != _u10870) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10862, _u10864), _u10866), _u10868), _u10870) = _u10866) )).
% 12.32/12.57 cnf(matrix-5387, plain, ( ( _u10877 != _u10879) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10881, _u10883), _u10885), _u10879), _u10887), _u10877) = _u10887) )).
% 12.32/12.57 cnf(matrix-5388, plain, ( ( _u10878 = _u10880) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10882, _u10884), _u10886), _u10880), _u10888), _u10878) = hAPP(_u10886, _u10878)) )).
% 12.32/12.57 cnf(matrix-5389, plain, ( ~class_Groups_Ocomm__monoid__add(_u10889) | ~class_Groups_Ocomm__monoid__mult(_u10889) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10889), _u10890), _u10891) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10889), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10889, tc_Int_Oint), _u10890), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10891))) )).
% 12.32/12.57 cnf(matrix-5390, plain, ( ~class_Rings_Ocomm__semiring__1(_u10893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10894), _u10895)) | ~hBOOL(hAPP(hAPP(c_member(_u10894), _u10892), _u10895)) | ( hAPP(_u10896, _u10892) != c_Groups_Ozero__class_Ozero(_u10893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10894, _u10893), _u10896), _u10895) = c_Groups_Ozero__class_Ozero(_u10893)) )).
% 12.32/12.57 cnf(matrix-5391, plain, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) != c_Groups_Ozero__class_Ozero(_u10899)) | hBOOL(hAPP(hAPP(c_member(_u10900), skolem219(_u10902, _u10901, _u10900, _u10899)), _u10901)) )).
% 12.32/12.57 cnf(matrix-5392, plain, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) != c_Groups_Ozero__class_Ozero(_u10899)) | ( hAPP(_u10902, skolem219(_u10902, _u10901, _u10900, _u10899)) = c_Groups_Ozero__class_Ozero(_u10899)) )).
% 12.32/12.57 cnf(matrix-5393, plain, ( ~class_Rings_Ocomm__semiring__1(_u10899) | ~class_Rings_Ono__zero__divisors(_u10899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10900), _u10901)) | ~hBOOL(hAPP(hAPP(c_member(_u10900), _u10898), _u10901)) | ( hAPP(_u10902, _u10898) != c_Groups_Ozero__class_Ozero(_u10899)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10900, _u10899), _u10902), _u10901) = c_Groups_Ozero__class_Ozero(_u10899)) )).
% 12.32/12.57 cnf(matrix-5394, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10903) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10904, _u10903), _u10905), c_Orderings_Obot__class_Obot(tc_fun(_u10904, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10903)) )).
% 12.32/12.57 cnf(matrix-5395, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10906) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10907, _u10906), _u10908), c_Orderings_Obot__class_Obot(tc_fun(_u10907, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10906)) )).
% 12.32/12.57 cnf(matrix-5396, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10909) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10910), _u10911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10910, _u10909), _u10912), _u10911) = c_Groups_Oone__class_Oone(_u10909)) )).
% 12.32/12.57 cnf(matrix-5397, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10913) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10914), _u10915)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10914, _u10913), _u10916), _u10915) = c_Groups_Oone__class_Oone(_u10913)) )).
% 12.32/12.57 cnf(matrix-5398, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10919), _u10917), _u10920)) | ( hAPP(_u10921, _u10917) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5399, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10919), skolem220(_u10921, _u10920, _u10919)), _u10920)) )).
% 12.32/12.57 cnf(matrix-5400, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10919), _u10920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, tc_Nat_Onat), _u10921), _u10920) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10921, skolem220(_u10921, _u10920, _u10919)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5401, plain, ( ~class_Groups_Ocomm__monoid__add(_u10922) | ~class_Groups_Ocomm__monoid__mult(_u10922) | ~c_Nat__Transfer_Onat__set(_u10923) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10922), _u10924), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10922), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10922, tc_Nat_Onat), _u10924), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10923))) )).
% 12.32/12.57 cnf(matrix-5402, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10926), _u10927)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), hAPP(hAPP(c_COMBS(_u10926, _u10925, _u10925), hAPP(hAPP(c_COMBB(_u10925, tc_fun(_u10925, _u10925), _u10926), c_Groups_Otimes__class_Otimes(_u10925)), _u10928)), _u10929)), _u10927) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10925), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), _u10928), _u10927)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10926, _u10925), _u10929), _u10927))) )).
% 12.32/12.57 cnf(matrix-5403, plain, ( ~class_Fields_Ofield__inverse__zero(_u10930) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10931), _u10932)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), hAPP(hAPP(c_COMBS(_u10931, _u10930, _u10930), hAPP(hAPP(c_COMBB(_u10930, tc_fun(_u10930, _u10930), _u10931), c_Rings_Oinverse__class_Odivide(_u10930)), _u10933)), _u10934)), _u10932) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10930), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), _u10933), _u10932)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10931, _u10930), _u10934), _u10932))) )).
% 12.32/12.57 cnf(matrix-5404, plain, ( ~class_Rings_Ocomm__semiring__1(_u10935) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10936), _u10937)) | ~hBOOL(hAPP(hAPP(c_member(_u10936), _u10938), _u10937)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10935), hAPP(_u10939, _u10938)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, _u10935), _u10939), _u10937))) )).
% 12.32/12.57 cnf(matrix-5405, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | ~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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | ~hBOOL(hAPP(hAPP(c_member(_u10942), _u10940), _u10943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10944, _u10940))) )).
% 12.32/12.57 cnf(matrix-5406, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | 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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | hBOOL(hAPP(hAPP(c_member(_u10942), skolem221(_u10944, _u10943, _u10942)), _u10943)) )).
% 12.32/12.57 cnf(matrix-5407, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10942), _u10943)) | 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(_u10942, tc_Nat_Onat), _u10944), _u10943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10944, skolem221(_u10944, _u10943, _u10942)))) )).
% 12.32/12.57 cnf(matrix-5408, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10945) | ~class_Rings_Odvd(_u10945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10946), _u10947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10946, tc_HOL_Obool)), _u10948), _u10947)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10945), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, _u10945), _u10949), _u10948)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, _u10945), _u10949), _u10947))) )).
% 12.32/12.57 cnf(matrix-5409, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10952)) | ~hBOOL(hAPP(hAPP(c_member(_u10951), _u10953), _u10952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10951, _u10950), hAPP(hAPP(c_COMBC(_u10951, _u10950, _u10950), hAPP(hAPP(c_COMBS(_u10951, _u10950, tc_fun(_u10950, _u10950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10950, tc_fun(_u10950, _u10950)), _u10951), c_If(_u10950)), hAPP(hAPP(c_COMBC(_u10951, _u10951, tc_HOL_Obool), c_fequal), _u10953))), _u10954)), c_Groups_Oone__class_Oone(_u10950))), _u10952) = hAPP(_u10954, _u10953)) )).
% 12.32/12.57 cnf(matrix-5410, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10952)) | hBOOL(hAPP(hAPP(c_member(_u10951), _u10953), _u10952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10951, _u10950), hAPP(hAPP(c_COMBC(_u10951, _u10950, _u10950), hAPP(hAPP(c_COMBS(_u10951, _u10950, tc_fun(_u10950, _u10950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10950, tc_fun(_u10950, _u10950)), _u10951), c_If(_u10950)), hAPP(hAPP(c_COMBC(_u10951, _u10951, tc_HOL_Obool), c_fequal), _u10953))), _u10954)), c_Groups_Oone__class_Oone(_u10950))), _u10952) = c_Groups_Oone__class_Oone(_u10950)) )).
% 12.32/12.57 cnf(matrix-5411, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10956), _u10957)) | ~hBOOL(hAPP(hAPP(c_member(_u10956), _u10958), _u10957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10956, _u10955), hAPP(hAPP(c_COMBC(_u10956, _u10955, _u10955), hAPP(hAPP(c_COMBS(_u10956, _u10955, tc_fun(_u10955, _u10955)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10955, tc_fun(_u10955, _u10955)), _u10956), c_If(_u10955)), hAPP(c_fequal, _u10958))), _u10959)), c_Groups_Oone__class_Oone(_u10955))), _u10957) = hAPP(_u10959, _u10958)) )).
% 12.32/12.57 cnf(matrix-5412, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10956), _u10957)) | hBOOL(hAPP(hAPP(c_member(_u10956), _u10958), _u10957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10956, _u10955), hAPP(hAPP(c_COMBC(_u10956, _u10955, _u10955), hAPP(hAPP(c_COMBS(_u10956, _u10955, tc_fun(_u10955, _u10955)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10955, tc_fun(_u10955, _u10955)), _u10956), c_If(_u10955)), hAPP(c_fequal, _u10958))), _u10959)), c_Groups_Oone__class_Oone(_u10955))), _u10957) = c_Groups_Oone__class_Oone(_u10955)) )).
% 12.32/12.57 cnf(matrix-5413, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10961), _u10962)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10961, _u10960), hAPP(c_COMBK(_u10960, _u10961), _u10963)), _u10962) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10960), _u10963), hAPP(c_Finite__Set_Ocard(_u10961), _u10962))) )).
% 12.32/12.57 cnf(matrix-5414, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10965), _u10966)) | hBOOL(hAPP(hAPP(c_member(_u10965), _u10967), _u10966)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10965, _u10964), _u10968), hAPP(hAPP(c_Set_Oinsert(_u10965), _u10967), _u10966)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10964), hAPP(_u10968, _u10967)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10965, _u10964), _u10968), _u10966))) )).
% 12.32/12.57 cnf(matrix-5415, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10970), _u10971)) | hBOOL(hAPP(hAPP(c_member(_u10970), _u10972), _u10971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10970, _u10969), _u10973), hAPP(hAPP(c_Set_Oinsert(_u10970), _u10972), _u10971)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10969), hAPP(_u10973, _u10972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10970, _u10969), _u10973), _u10971))) )).
% 12.32/12.57 cnf(matrix-5416, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10975), _u10976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10975, _u10974), _u10977), hAPP(hAPP(c_Set_Oinsert(_u10975), _u10978), _u10976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10974), hAPP(_u10977, _u10978)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10975, _u10974), _u10977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10975, tc_HOL_Obool)), _u10976), hAPP(hAPP(c_Set_Oinsert(_u10975), _u10978), c_Orderings_Obot__class_Obot(tc_fun(_u10975, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5417, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10980), _u10981)) | ~hBOOL(hAPP(hAPP(c_member(_u10980), _u10982), _u10981)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10980, _u10979), _u10983), _u10981) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10979), hAPP(_u10983, _u10982)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10980, _u10979), _u10983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10980, tc_HOL_Obool)), _u10981), hAPP(hAPP(c_Set_Oinsert(_u10980), _u10982), c_Orderings_Obot__class_Obot(tc_fun(_u10980, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5418, plain, ( ~class_Fields_Ofield(_u10984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10985), _u10986)) | ( hAPP(_u10987, _u10988) = c_Groups_Ozero__class_Ozero(_u10984)) | ~hBOOL(hAPP(hAPP(c_member(_u10985), _u10988), _u10986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10985, tc_HOL_Obool)), _u10986), hAPP(hAPP(c_Set_Oinsert(_u10985), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10985, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10984), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), _u10986)), hAPP(_u10987, _u10988))) )).
% 12.32/12.57 cnf(matrix-5419, plain, ( ~class_Fields_Ofield(_u10984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10985), _u10986)) | ( hAPP(_u10987, _u10988) = c_Groups_Ozero__class_Ozero(_u10984)) | hBOOL(hAPP(hAPP(c_member(_u10985), _u10988), _u10986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10985, tc_HOL_Obool)), _u10986), hAPP(hAPP(c_Set_Oinsert(_u10985), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10985, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10985, _u10984), _u10987), _u10986)) )).
% 12.32/12.57 cnf(matrix-5420, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u10989)), hAPP(c_Set_Oimage(_u10990, tc_Option_Ooption(_u10989), _u10991), c_Orderings_Otop__class_Otop(tc_fun(_u10990, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u10989)), hAPP(c_Set_Oimage(_u10990, tc_Option_Ooption(_u10989), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10990, tc_Option_Ooption(_u10989)), _u10991), _u10992), hAPP(c_Option_Ooption_OSome(_u10989), _u10993))), c_Orderings_Otop__class_Otop(tc_fun(_u10990, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5421, plain, ( hBOOL(hAPP(hAPP(c_member(_u10994), _u10995), _u10996)) | ( hAPP(c_Set_Oimage(_u10994, tc_Option_Ooption(_u10997), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10994, tc_Option_Ooption(_u10997)), _u10998), _u10995), hAPP(c_Option_Ooption_OSome(_u10997), _u10999))), _u10996) = hAPP(c_Set_Oimage(_u10994, tc_Option_Ooption(_u10997), _u10998), _u10996)) )).
% 12.32/12.57 cnf(matrix-5422, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, tc_Option_Ooption(_u11001)), _u11002), _u11003), hAPP(c_Option_Ooption_OSome(_u11001), _u11004)) != hAPP(c_COMBK(tc_Option_Ooption(_u11001), _u11000), c_Option_Ooption_ONone(_u11001))) )).
% 12.32/12.57 cnf(matrix-5423, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11022 = _u11018) | ( hAPP(_u11016, _u11022) = hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) )).
% 12.32/12.57 cnf(matrix-5424, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11020 = _u11024) | ( _u11022 != _u11018) )).
% 12.32/12.57 cnf(matrix-5425, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11012, tc_Option_Ooption(_u11014)), _u11016), _u11018), hAPP(c_Option_Ooption_OSome(_u11014), _u11020)), _u11022) != hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) | ( _u11020 = _u11024) | ( hAPP(_u11016, _u11022) = hAPP(c_Option_Ooption_OSome(_u11014), _u11024)) )).
% 12.32/12.57 cnf(matrix-5426, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11013, tc_Option_Ooption(_u11015)), _u11017), _u11019), hAPP(c_Option_Ooption_OSome(_u11015), _u11021)), _u11023) = hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) | ( _u11023 != _u11019) | ( _u11021 != _u11025) )).
% 12.32/12.57 cnf(matrix-5427, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11013, tc_Option_Ooption(_u11015)), _u11017), _u11019), hAPP(c_Option_Ooption_OSome(_u11015), _u11021)), _u11023) = hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) | ( _u11023 = _u11019) | ( hAPP(_u11017, _u11023) != hAPP(c_Option_Ooption_OSome(_u11015), _u11025)) )).
% 12.32/12.57 cnf(matrix-5428, plain, ( ( hAPP(_u11026, _u11027) != hAPP(c_Option_Ooption_OSome(_u11028), _u11029)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11030, tc_Option_Ooption(_u11028)), _u11026), _u11027), hAPP(c_Option_Ooption_OSome(_u11028), _u11029)) = _u11026) )).
% 12.32/12.57 cnf(matrix-5429, plain, ( ( _u11035 = _u11037) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11031, tc_Option_Ooption(_u11032)), _u11033), _u11034), hAPP(c_Option_Ooption_OSome(_u11032), _u11035)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11031, tc_Option_Ooption(_u11032)), _u11036), _u11034), hAPP(c_Option_Ooption_OSome(_u11032), _u11037))) )).
% 12.32/12.57 cnf(matrix-5430, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11038, tc_Option_Ooption(_u11039)), hAPP(c_COMBK(tc_Option_Ooption(_u11039), _u11038), c_Option_Ooption_ONone(_u11039))), _u11040), c_Option_Ooption_ONone(_u11039)), _u11041) = c_Option_Ooption_ONone(_u11039)) )).
% 12.32/12.57 cnf(matrix-5431, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Int_Oint), _u11045), _u11044) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11043), c_Int_Onat), _u11045)), _u11044))) | hBOOL(hAPP(hAPP(c_member(_u11043), skolem222(_u11045, _u11044, _u11043)), _u11044)) )).
% 12.32/12.57 cnf(matrix-5432, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Int_Oint), _u11045), _u11044) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11043, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11043), c_Int_Onat), _u11045)), _u11044))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11045, skolem222(_u11045, _u11044, _u11043))) )).
% 12.32/12.57 cnf(matrix-5433, plain, ( ( hAPP(_u11046, _u11047) != c_Option_Ooption_ONone(_u11048)) | ( c_Map_Oran(_u11049, _u11048, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11049, tc_Option_Ooption(_u11048)), _u11046), _u11047), hAPP(c_Option_Ooption_OSome(_u11048), _u11050))) = hAPP(hAPP(c_Set_Oinsert(_u11048), _u11050), c_Map_Oran(_u11049, _u11048, _u11046))) )).
% 12.32/12.57 cnf(matrix-5434, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11056), _u11058), _u11060)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11056, tc_Option_Ooption(_u11062)), c_Map_Orestrict__map(_u11056, _u11062, _u11064, _u11060)), _u11058), c_Option_Ooption_ONone(_u11062)) = c_Map_Orestrict__map(_u11056, _u11062, _u11064, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11056, tc_HOL_Obool)), _u11060), hAPP(hAPP(c_Set_Oinsert(_u11056), _u11058), c_Orderings_Obot__class_Obot(tc_fun(_u11056, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5435, plain, ( hBOOL(hAPP(hAPP(c_member(_u11057), _u11059), _u11061)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11057, tc_Option_Ooption(_u11063)), c_Map_Orestrict__map(_u11057, _u11063, _u11065, _u11061)), _u11059), c_Option_Ooption_ONone(_u11063)) = c_Map_Orestrict__map(_u11057, _u11063, _u11065, _u11061)) )).
% 12.32/12.57 cnf(matrix-5436, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11066), _u11067), _u11068)) | ( hAPP(c_Map_Orestrict__map(_u11066, _u11069, _u11070, _u11068), _u11067) = hAPP(_u11070, _u11067)) )).
% 12.32/12.57 cnf(matrix-5437, plain, ( ( hAPP(c_Map_Orestrict__map(_u11071, _u11072, hAPP(c_COMBK(tc_Option_Ooption(_u11072), _u11071), c_Option_Ooption_ONone(_u11072)), _u11073), _u11074) = c_Option_Ooption_ONone(_u11072)) )).
% 12.32/12.57 cnf(matrix-5438, plain, ( hBOOL(hAPP(hAPP(c_member(_u11075), _u11076), _u11077)) | ( hAPP(c_Map_Orestrict__map(_u11075, _u11078, _u11079, _u11077), _u11076) = c_Option_Ooption_ONone(_u11078)) )).
% 12.32/12.57 cnf(matrix-5439, plain, ( ( c_Map_Orestrict__map(_u11080, _u11081, _u11082, hAPP(hAPP(c_Set_Oinsert(_u11080), _u11083), _u11084)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11080, tc_Option_Ooption(_u11081)), c_Map_Orestrict__map(_u11080, _u11081, _u11082, _u11084)), _u11083), hAPP(_u11082, _u11083))) )).
% 12.32/12.57 cnf(matrix-5440, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11090), _u11092), _u11094)) | ( hAPP(c_Map_Orestrict__map(_u11090, _u11096, _u11098, _u11094), _u11092) = hAPP(_u11098, _u11092)) )).
% 12.32/12.57 cnf(matrix-5441, plain, ( hBOOL(hAPP(hAPP(c_member(_u11091), _u11093), _u11095)) | ( hAPP(c_Map_Orestrict__map(_u11091, _u11097, _u11099, _u11095), _u11093) = c_Option_Ooption_ONone(_u11097)) )).
% 12.32/12.57 cnf(matrix-5442, plain, ( ( hAPP(c_Map_Orestrict__map(_u11100, _u11101, _u11102, c_Orderings_Obot__class_Obot(tc_fun(_u11100, tc_HOL_Obool))), _u11103) = c_Option_Ooption_ONone(_u11101)) )).
% 12.32/12.57 cnf(matrix-5443, plain, ( ( hAPP(_u11104, _u11105) != hAPP(c_Option_Ooption_OSome(_u11106), _u11107)) | hBOOL(hAPP(hAPP(c_member(_u11106), _u11107), c_Map_Oran(_u11108, _u11106, _u11104))) )).
% 12.32/12.57 cnf(matrix-5444, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11109, tc_Option_Ooption(_u11110)), c_Map_Orestrict__map(_u11109, _u11110, _u11111, _u11112)), _u11113), _u11114) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11109, tc_Option_Ooption(_u11110)), c_Map_Orestrict__map(_u11109, _u11110, _u11111, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11109, tc_HOL_Obool)), _u11112), hAPP(hAPP(c_Set_Oinsert(_u11109), _u11113), c_Orderings_Obot__class_Obot(tc_fun(_u11109, tc_HOL_Obool)))))), _u11113), _u11114)) )).
% 12.32/12.57 cnf(matrix-5445, plain, ( ( c_Map_Oran(_u11115, _u11116, hAPP(c_COMBK(tc_Option_Ooption(_u11116), _u11115), c_Option_Ooption_ONone(_u11116))) = c_Orderings_Obot__class_Obot(tc_fun(_u11116, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5446, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11123), _u11125), _u11127)) | ( c_Map_Orestrict__map(_u11123, _u11129, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11123, tc_Option_Ooption(_u11129)), _u11131), _u11125), _u11133), _u11127) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11123, tc_Option_Ooption(_u11129)), c_Map_Orestrict__map(_u11123, _u11129, _u11131, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11123, tc_HOL_Obool)), _u11127), hAPP(hAPP(c_Set_Oinsert(_u11123), _u11125), c_Orderings_Obot__class_Obot(tc_fun(_u11123, tc_HOL_Obool)))))), _u11125), _u11133)) )).
% 12.32/12.57 cnf(matrix-5447, plain, ( hBOOL(hAPP(hAPP(c_member(_u11124), _u11126), _u11128)) | ( c_Map_Orestrict__map(_u11124, _u11130, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11124, tc_Option_Ooption(_u11130)), _u11132), _u11126), _u11134), _u11128) = c_Map_Orestrict__map(_u11124, _u11130, _u11132, _u11128)) )).
% 12.32/12.57 cnf(matrix-5448, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11135), _u11136), _u11137)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11135, tc_Option_Ooption(_u11138)), c_Map_Orestrict__map(_u11135, _u11138, _u11139, _u11137)), _u11136), _u11140) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11135, tc_Option_Ooption(_u11138)), c_Map_Orestrict__map(_u11135, _u11138, _u11139, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11135, tc_HOL_Obool)), _u11137), hAPP(hAPP(c_Set_Oinsert(_u11135), _u11136), c_Orderings_Obot__class_Obot(tc_fun(_u11135, tc_HOL_Obool)))))), _u11136), _u11140)) )).
% 12.32/12.57 cnf(matrix-5449, plain, ( ( c_Map_Orestrict__map(_u11141, _u11142, _u11143, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11141, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11141), _u11144), c_Orderings_Obot__class_Obot(tc_fun(_u11141, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11141, tc_Option_Ooption(_u11142)), _u11143), _u11144), c_Option_Ooption_ONone(_u11142))) )).
% 12.32/12.57 cnf(matrix-5450, plain, ( ( c_Map_Orestrict__map(_u11145, _u11146, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11145, tc_Option_Ooption(_u11146)), _u11147), _u11148), hAPP(c_Option_Ooption_OSome(_u11146), _u11149)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11145), _u11148), c_Orderings_Obot__class_Obot(tc_fun(_u11145, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u11145, _u11146, _u11147, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11145), _u11148), c_Orderings_Obot__class_Obot(tc_fun(_u11145, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5451, plain, ( ~class_Groups_Oordered__ab__group__add(_u11151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11152), _u11153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11152, _u11151), _u11154), _u11153) != _u11155) | ~hBOOL(hAPP(hAPP(c_member(_u11152), _u11156), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), hAPP(_u11154, _u11156)), _u11155)) | hBOOL(hAPP(hAPP(c_member(_u11152), skolem223(_u11156, _u11155, _u11154, _u11153, _u11152, _u11151)), _u11153)) )).
% 12.32/12.57 cnf(matrix-5452, plain, ( ~class_Groups_Oordered__ab__group__add(_u11151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11152), _u11153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11152, _u11151), _u11154), _u11153) != _u11155) | ~hBOOL(hAPP(hAPP(c_member(_u11152), _u11156), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), hAPP(_u11154, _u11156)), _u11155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11151), c_Groups_Ozero__class_Ozero(_u11151)), hAPP(_u11154, skolem223(_u11156, _u11155, _u11154, _u11153, _u11152, _u11151)))) )).
% 12.32/12.57 cnf(matrix-5453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11157), _u11158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11159), _u11160)) | 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), _u11157), _u11159)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11158), _u11160))), c_FunDef_Opair__less)) )).
% 12.32/12.57 cnf(matrix-5454, plain, ( ~class_Orderings_Olinorder(_u11163) | ( hAPP(_u11164, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11163), skolem224(_u11165, _u11164, _u11163)), skolem225(_u11165, _u11164, _u11163))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11163), hAPP(_u11164, skolem224(_u11165, _u11164, _u11163))), hAPP(_u11164, skolem225(_u11165, _u11164, _u11163)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), _u11165)) | ( _u11165 = c_Orderings_Obot__class_Obot(tc_fun(_u11163, tc_HOL_Obool))) | ( hAPP(_u11164, c_Big__Operators_Olattice_OSup__fin(_u11163, c_Orderings_Oord__class_Omax(_u11163), _u11165)) = c_Big__Operators_Olattice_OSup__fin(_u11163, c_Orderings_Oord__class_Omax(_u11163), hAPP(c_Set_Oimage(_u11163, _u11163, _u11164), _u11165))) )).
% 12.32/12.57 cnf(matrix-5455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11166), _u11167)) | 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), _u11166), _u11168)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11167), _u11169))), c_FunDef_Opair__less)) )).
% 12.32/12.57 cnf(matrix-5456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11170), _u11171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11172), _u11173)) | 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), _u11170), _u11172)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11171), _u11173))), c_FunDef_Opair__leq)) )).
% 12.32/12.57 cnf(matrix-5457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11174), _u11175)) | ~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)), _u11174), _u11176)), 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)), _u11175), _u11177)), 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)), _u11175), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11176), _u11177))), c_FunDef_Omin__strict)) )).
% 12.32/12.57 cnf(matrix-5458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11178), _u11179)) | ~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)), _u11180), _u11178)), 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)), _u11181), _u11179)), 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)), _u11180), _u11181)), _u11179)), c_FunDef_Omax__strict)) )).
% 12.32/12.57 cnf(matrix-5459, plain, ( ( _u11182 = 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)), _u11182), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.32/12.57 cnf(matrix-5460, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11183)) | ( _u11183 = 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))), _u11183)), c_FunDef_Omax__strict)) )).
% 12.32/12.57 cnf(matrix-5461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11184), _u11185)) | 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), _u11184), _u11186)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11185), _u11187))), c_FunDef_Opair__leq)) )).
% 12.32/12.57 cnf(matrix-5462, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11188), _u11189)) | ~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)), _u11190), _u11188)), 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)), _u11191), _u11189)), 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)), _u11190), _u11191)), _u11189)), c_FunDef_Omax__weak)) )).
% 12.32/12.57 cnf(matrix-5463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11192), _u11193)) | ~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)), _u11192), _u11194)), 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)), _u11193), _u11195)), 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)), _u11193), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11194), _u11195))), c_FunDef_Omin__weak)) )).
% 12.32/12.57 cnf(matrix-5464, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11196)) | 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))), _u11196)), c_FunDef_Omax__weak)) )).
% 12.32/12.57 cnf(matrix-5465, 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)), _u11197), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.32/12.57 cnf(matrix-5466, plain, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5467, plain, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5468, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.32/12.57 cnf(matrix-5469, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.32/12.57 cnf(matrix-5470, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), _u11199), _u11200)), c_Wellfounded_Omax__ext(_u11198, _u11201))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), _u11202), _u11203)), c_Wellfounded_Omax__ext(_u11198, _u11201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11198, tc_HOL_Obool), tc_fun(_u11198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11198, tc_HOL_Obool)), _u11199), _u11202)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11198, tc_HOL_Obool)), _u11200), _u11203))), c_Wellfounded_Omax__ext(_u11198, _u11201))) )).
% 12.32/12.57 cnf(matrix-5471, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.32/12.57 cnf(matrix-5472, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.32/12.57 cnf(matrix-5473, plain, ( ~c_Wellfounded_Omax__extp(_u11208, hAPP(hAPP(c_COMBC(_u11208, tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11208, tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), _u11208), c_COMBC(_u11208, tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11208, tc_prod(_u11208, _u11208)), tc_fun(_u11208, tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool)), _u11208), hAPP(c_COMBB(tc_prod(_u11208, _u11208), tc_fun(tc_fun(tc_prod(_u11208, _u11208), tc_HOL_Obool), tc_HOL_Obool), _u11208), c_member(tc_prod(_u11208, _u11208)))), c_Product__Type_OPair(_u11208, _u11208)))), _u11210), _u11212, _u11214) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11208, tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11208, tc_HOL_Obool), tc_fun(_u11208, tc_HOL_Obool)), _u11212), _u11214)), c_Wellfounded_Omax__ext(_u11208, _u11210))) )).
% 12.32/12.57 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11209, tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11209, tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), _u11213), _u11215)), c_Wellfounded_Omax__ext(_u11209, _u11211))) | c_Wellfounded_Omax__extp(_u11209, hAPP(hAPP(c_COMBC(_u11209, tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11209, tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_fun(_u11209, tc_HOL_Obool)), _u11209), c_COMBC(_u11209, tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11209, tc_prod(_u11209, _u11209)), tc_fun(_u11209, tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool)), _u11209), hAPP(c_COMBB(tc_prod(_u11209, _u11209), tc_fun(tc_fun(tc_prod(_u11209, _u11209), tc_HOL_Obool), tc_HOL_Obool), _u11209), c_member(tc_prod(_u11209, _u11209)))), c_Product__Type_OPair(_u11209, _u11209)))), _u11211), _u11213, _u11215) )).
% 12.32/12.57 cnf(matrix-5475, 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), _u11218), _u11220)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11218), _u11220)) )).
% 12.32/12.57 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11219), _u11221)) | 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), _u11219), _u11221)), c_Wellfounded_Oless__than)) )).
% 12.32/12.57 cnf(matrix-5477, 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), _u11226), _u11228)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11230), _u11232))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11226), _u11232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11230), _u11228)) )).
% 12.32/12.57 cnf(matrix-5478, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11227), _u11233) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11231), _u11229)) | 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), _u11227), _u11229)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11231), _u11233))), c_Int_Ointrel)) )).
% 12.32/12.57 cnf(matrix-5479, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.32/12.57 cnf(matrix-5480, plain, ( ( c_Wellfounded_Omlex__prod(_u11234, _u11235, _u11236) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11234), _u11234), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11234, c_Wellfounded_Oless__than, _u11236)), hAPP(hAPP(c_COMBS(_u11234, _u11234, tc_prod(tc_Nat_Onat, _u11234)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11234, tc_prod(tc_Nat_Onat, _u11234)), _u11234), c_Product__Type_OPair(tc_Nat_Onat, _u11234)), _u11235)), c_COMBI(_u11234)))) )).
% 12.32/12.57 cnf(matrix-5481, plain, ( ~c_FunDef_Oreduction__pair(_u11237, _u11238) | c_FunDef_Oreduction__pair(_u11239, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11237, _u11239), _u11238), _u11240)) )).
% 12.32/12.57 cnf(matrix-5482, plain, ( ~class_Orderings_Olinorder(_u11243) | ( hAPP(_u11244, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11243), skolem226(_u11245, _u11244, _u11243)), skolem227(_u11245, _u11244, _u11243))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11243), hAPP(_u11244, skolem226(_u11245, _u11244, _u11243))), hAPP(_u11244, skolem227(_u11245, _u11244, _u11243)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11245)) | ( _u11245 = c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool))) | ( hAPP(_u11244, c_Big__Operators_Olattice_OInf__fin(_u11243, c_Orderings_Oord__class_Omin(_u11243), _u11245)) = c_Big__Operators_Olattice_OInf__fin(_u11243, c_Orderings_Oord__class_Omin(_u11243), hAPP(c_Set_Oimage(_u11243, _u11243, _u11244), _u11245))) )).
% 12.32/12.57 cnf(matrix-5483, plain, ( ( c_FunDef_Orp__inv__image(_u11246, _u11247) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), c_COMBS(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)), tc_fun(tc_fun(_u11247, _u11246), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), tc_fun(tc_prod(_u11246, _u11246), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool))), tc_fun(_u11247, _u11246)), c_Product__Type_OPair(tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool), tc_fun(tc_prod(_u11247, _u11247), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11246, _u11247))))), c_Relation_Oinv__image(_u11246, _u11247)))) )).
% 12.32/12.57 cnf(matrix-5484, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11260, _u11260)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11260), hAPP(_u11264, _u11256)), hAPP(_u11264, _u11258))), _u11262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11254, _u11254)), hAPP(hAPP(c_Product__Type_OPair(_u11254, _u11254), _u11256), _u11258)), hAPP(hAPP(c_Relation_Oinv__image(_u11260, _u11254), _u11262), _u11264))) )).
% 12.32/12.57 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11261, _u11261)), hAPP(hAPP(c_Product__Type_OPair(_u11261, _u11261), hAPP(_u11265, _u11257)), hAPP(_u11265, _u11259))), _u11263)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11255)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11255), _u11257), _u11259)), hAPP(hAPP(c_Relation_Oinv__image(_u11261, _u11255), _u11263), _u11265))) )).
% 12.32/12.57 cnf(matrix-5486, plain, ( ~class_Orderings_Olinorder(_u11268) | ( hAPP(_u11269, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11268), skolem228(_u11270, _u11269, _u11268)), skolem229(_u11270, _u11269, _u11268))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11268), hAPP(_u11269, skolem228(_u11270, _u11269, _u11268))), hAPP(_u11269, skolem229(_u11270, _u11269, _u11268)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11268), _u11270)) | ( _u11270 = c_Orderings_Obot__class_Obot(tc_fun(_u11268, tc_HOL_Obool))) | ( hAPP(_u11269, c_Big__Operators_Olinorder__class_OMax(_u11268, _u11270)) = c_Big__Operators_Olinorder__class_OMax(_u11268, hAPP(c_Set_Oimage(_u11268, _u11268, _u11269), _u11270))) )).
% 12.32/12.57 cnf(matrix-5487, plain, ( ~class_Orderings_Olinorder(_u11273) | ( hAPP(_u11274, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11273), skolem230(_u11275, _u11274, _u11273)), skolem231(_u11275, _u11274, _u11273))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11273), hAPP(_u11274, skolem230(_u11275, _u11274, _u11273))), hAPP(_u11274, skolem231(_u11275, _u11274, _u11273)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11273), _u11275)) | ( _u11275 = c_Orderings_Obot__class_Obot(tc_fun(_u11273, tc_HOL_Obool))) | ( hAPP(_u11274, c_Big__Operators_Olinorder__class_OMin(_u11273, _u11275)) = c_Big__Operators_Olinorder__class_OMin(_u11273, hAPP(c_Set_Oimage(_u11273, _u11273, _u11274), _u11275))) )).
% 12.32/12.57 cnf(matrix-5488, plain, ( ( c_Wellfounded_Omeasure(_u11276) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11276), c_Wellfounded_Oless__than)) )).
% 12.32/12.57 cnf(matrix-5489, plain, ( ~c_Relation_Oirrefl(_u11281, _u11283) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11281, _u11281)), hAPP(hAPP(c_Product__Type_OPair(_u11281, _u11281), _u11277), _u11277)), _u11283)) )).
% 12.32/12.57 cnf(matrix-5490, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), skolem232(_u11284, _u11282)), skolem232(_u11284, _u11282))), _u11284)) | c_Relation_Oirrefl(_u11282, _u11284) )).
% 12.32/12.57 cnf(matrix-5491, plain, ( ( hAPP(c_Relation_OField(_u11285), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11285, _u11285)), hAPP(hAPP(c_Product__Type_OPair(_u11285, _u11285), _u11286), _u11287)), _u11288)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11285, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11285), _u11286), hAPP(hAPP(c_Set_Oinsert(_u11285), _u11287), c_Orderings_Obot__class_Obot(tc_fun(_u11285, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11285), _u11288))) )).
% 12.32/12.57 cnf(matrix-5492, plain, ( ( c_Relation_OId__on(_u11289, _u11290) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11289, tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), _u11290), hAPP(hAPP(c_COMBC(_u11289, tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool), tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11289, _u11289), tc_fun(tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool), tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool)), _u11289), c_Set_Oinsert(tc_prod(_u11289, _u11289))), hAPP(hAPP(c_COMBS(_u11289, _u11289, tc_prod(_u11289, _u11289)), c_Product__Type_OPair(_u11289, _u11289)), c_COMBI(_u11289)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11289, _u11289), tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5493, plain, ( ( c_Relation_OId__on(_u11291, _u11292) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11291, _u11291, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11291, tc_HOL_Obool, tc_fun(_u11291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11291, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11291, tc_HOL_Obool)), _u11291), c_COMBC(_u11291, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11291), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11291), c_fconj)), c_fequal))), _u11292))) )).
% 12.32/12.57 cnf(matrix-5494, plain, ( ( c_Relation_OId__on(_u11293, c_Orderings_Obot__class_Obot(tc_fun(_u11293, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11293, _u11293), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5495, plain, ( ( hAPP(c_Relation_OField(_u11294), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11294, _u11294), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11294, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11295, _u11295), tc_HOL_Obool)), _u11296), _u11297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11295, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11295), _u11296)), hAPP(c_Relation_OField(_u11295), _u11297))) )).
% 12.32/12.57 cnf(matrix-5497, plain, ( ( hAPP(c_Relation_OField(_u11298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11298, _u11298), tc_HOL_Obool)), _u11299), _u11300)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11298, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11298), _u11299)), hAPP(c_Relation_OField(_u11298), _u11300))) )).
% 12.32/12.57 cnf(matrix-5498, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11301, _u11301)), _u11302)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11301), hAPP(c_Relation_OField(_u11301), _u11302))) )).
% 12.32/12.57 cnf(matrix-5499, plain, ( ( _u11303 != _u11304) | ~hBOOL(hAPP(hAPP(c_member(_u11305), _u11303), _u11306)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11305, _u11305)), hAPP(hAPP(c_Product__Type_OPair(_u11305, _u11305), _u11303), _u11304)), c_Relation_OId__on(_u11305, _u11306))) )).
% 12.32/12.57 cnf(matrix-5500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11311, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11311, _u11311), _u11313), _u11315)), c_Relation_OId__on(_u11311, _u11317))) | ( _u11313 = _u11315) )).
% 12.32/12.57 cnf(matrix-5501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11311, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11311, _u11311), _u11313), _u11315)), c_Relation_OId__on(_u11311, _u11317))) | hBOOL(hAPP(hAPP(c_member(_u11311), _u11313), _u11317)) )).
% 12.32/12.57 cnf(matrix-5502, plain, ( ( _u11314 != _u11316) | ~hBOOL(hAPP(hAPP(c_member(_u11312), _u11314), _u11318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11312, _u11312)), hAPP(hAPP(c_Product__Type_OPair(_u11312, _u11312), _u11314), _u11316)), c_Relation_OId__on(_u11312, _u11318))) )).
% 12.32/12.57 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11320, _u11320)), _u11321), c_Relation_OId__on(_u11320, _u11322))) | hBOOL(hAPP(hAPP(c_member(_u11320), skolem233(_u11322, _u11321, _u11320)), _u11322)) )).
% 12.32/12.57 cnf(matrix-5504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11320, _u11320)), _u11321), c_Relation_OId__on(_u11320, _u11322))) | ( _u11321 = hAPP(hAPP(c_Product__Type_OPair(_u11320, _u11320), skolem233(_u11322, _u11321, _u11320)), skolem233(_u11322, _u11321, _u11320))) )).
% 12.32/12.57 cnf(matrix-5505, plain, ( ~class_Lattices_Olattice(_u11325) | ( hAPP(_u11326, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11325), skolem234(_u11327, _u11326, _u11325)), skolem235(_u11327, _u11326, _u11325))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11325), hAPP(_u11326, skolem234(_u11327, _u11326, _u11325))), hAPP(_u11326, skolem235(_u11327, _u11326, _u11325)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11325), _u11327)) | ( _u11327 = c_Orderings_Obot__class_Obot(tc_fun(_u11325, tc_HOL_Obool))) | ( hAPP(_u11326, c_Big__Operators_Olattice__class_OSup__fin(_u11325, _u11327)) = c_Big__Operators_Olattice__class_OSup__fin(_u11325, hAPP(c_Set_Oimage(_u11325, _u11325, _u11326), _u11327))) )).
% 12.32/12.57 cnf(matrix-5506, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11330), _u11331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11330, tc_HOL_Obool)), _u11332), _u11331)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11332) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11331)) | hBOOL(hAPP(hAPP(c_member(_u11330), skolem236(_u11333, _u11332, _u11331, _u11330, _u11329)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11330, tc_HOL_Obool)), _u11331), _u11332))) )).
% 12.32/12.57 cnf(matrix-5507, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11330), _u11331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11330, tc_HOL_Obool)), _u11332), _u11331)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11332) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11330, _u11329), _u11333), _u11331)) | ( hAPP(_u11333, skolem236(_u11333, _u11332, _u11331, _u11330, _u11329)) != c_Groups_Oone__class_Oone(_u11329)) )).
% 12.32/12.57 cnf(matrix-5508, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11336), _u11337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11336, tc_HOL_Obool)), _u11338), _u11337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11338)) | hBOOL(hAPP(hAPP(c_member(_u11336), skolem237(_u11339, _u11338, _u11337, _u11336, _u11335)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11336, tc_HOL_Obool)), _u11337), _u11338))) )).
% 12.32/12.57 cnf(matrix-5509, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11336), _u11337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11336, tc_HOL_Obool)), _u11338), _u11337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11336, _u11335), _u11339), _u11338)) | ( hAPP(_u11339, skolem237(_u11339, _u11338, _u11337, _u11336, _u11335)) != c_Groups_Oone__class_Oone(_u11335)) )).
% 12.32/12.57 cnf(matrix-5510, plain, ( ~class_Groups_Ocomm__monoid__add(_u11341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11342), _u11343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11342, tc_HOL_Obool)), _u11344), _u11343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11343) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11344)) | hBOOL(hAPP(hAPP(c_member(_u11342), skolem238(_u11345, _u11344, _u11343, _u11342, _u11341)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11342, tc_HOL_Obool)), _u11343), _u11344))) )).
% 12.32/12.57 cnf(matrix-5511, plain, ( ~class_Groups_Ocomm__monoid__add(_u11341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11342), _u11343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11342, tc_HOL_Obool)), _u11344), _u11343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11343) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11342, _u11341), _u11345), _u11344)) | ( hAPP(_u11345, skolem238(_u11345, _u11344, _u11343, _u11342, _u11341)) != c_Groups_Ozero__class_Ozero(_u11341)) )).
% 12.32/12.57 cnf(matrix-5512, plain, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11348), _u11349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11348, tc_HOL_Obool)), _u11350), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11350) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11349)) | hBOOL(hAPP(hAPP(c_member(_u11348), skolem239(_u11351, _u11350, _u11349, _u11348, _u11347)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11348, tc_HOL_Obool)), _u11349), _u11350))) )).
% 12.32/12.57 cnf(matrix-5513, plain, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11348), _u11349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11348, tc_HOL_Obool)), _u11350), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11350) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11348, _u11347), _u11351), _u11349)) | ( hAPP(_u11351, skolem239(_u11351, _u11350, _u11349, _u11348, _u11347)) != c_Groups_Ozero__class_Ozero(_u11347)) )).
% 12.32/12.57 cnf(matrix-5514, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11352), _u11353)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11352, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11352), _u11353)) = 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(_u11352), _u11353))) )).
% 12.32/12.57 cnf(matrix-5515, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.57 cnf(matrix-5516, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11356), skolem240(_u11358, _u11357, _u11356)), skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.57 cnf(matrix-5517, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | hBOOL(hAPP(_u11358, skolem241(_u11358, _u11357, _u11356))) )).
% 12.32/12.57 cnf(matrix-5518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11356), _u11357)) | ~hBOOL(hAPP(_u11358, _u11357)) | hBOOL(hAPP(_u11358, c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11358, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11356, tc_HOL_Obool)), skolem241(_u11358, _u11357, _u11356)), hAPP(hAPP(c_Set_Oinsert(_u11356), skolem240(_u11358, _u11357, _u11356)), c_Orderings_Obot__class_Obot(tc_fun(_u11356, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5519, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), _u11361), _u11364), _u11365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u11361, skolem242(_u11365, _u11364, _u11363, _u11362, _u11361)), skolem243(_u11365, _u11364, _u11363, _u11362, _u11361))) )).
% 12.32/12.57 cnf(matrix-5520, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), _u11361), _u11364), _u11365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11362, _u11363, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11362), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u11362), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem243(_u11365, _u11364, _u11363, _u11362, _u11361)))), _u11364), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u11362), hAPP(_u11365, skolem242(_u11365, _u11364, _u11363, _u11362, _u11361))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11362), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11366, tc_HOL_Obool)), _u11367), _u11368)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11366, tc_HOL_Obool)), _u11367), hAPP(c_Set_OPow(_u11366), _u11368))) )).
% 12.32/12.57 cnf(matrix-5522, plain, ( ( hAPP(c_Set_OPow(_u11369), hAPP(hAPP(c_Set_Oinsert(_u11369), _u11370), _u11371)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11369, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11369), _u11371)), hAPP(c_Set_Oimage(tc_fun(_u11369, tc_HOL_Obool), tc_fun(_u11369, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11369), _u11370)), hAPP(c_Set_OPow(_u11369), _u11371)))) )).
% 12.32/12.57 cnf(matrix-5523, plain, ( ( hAPP(c_Set_OPow(_u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11372, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11372, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11372, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11372, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5524, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11373, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11373, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11373), _u11374))) )).
% 12.32/12.57 cnf(matrix-5525, plain, ( ( hAPP(c_Set_OPow(_u11375), _u11376) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11375, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5526, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11377, tc_HOL_Obool)), _u11378), hAPP(c_Set_OPow(_u11377), _u11378))) )).
% 12.32/12.57 cnf(matrix-5527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11382, tc_HOL_Obool)), _u11384), hAPP(c_Set_OPow(_u11382), _u11386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11382, tc_HOL_Obool)), _u11384), _u11386)) )).
% 12.32/12.57 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11383, tc_HOL_Obool)), _u11385), _u11387)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11383, tc_HOL_Obool)), _u11385), hAPP(c_Set_OPow(_u11383), _u11387))) )).
% 12.32/12.57 cnf(matrix-5529, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11388, tc_HOL_Obool)), _u11389), hAPP(c_Set_OPow(_u11388), _u11390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11388, tc_HOL_Obool)), _u11389), _u11390)) )).
% 12.32/12.57 cnf(matrix-5530, plain, ( ( hAPP(c_Set_Oimage(_u11392, tc_fun(_u11392, tc_HOL_Obool), _u11391), _u11393) != hAPP(c_Set_OPow(_u11392), _u11393)) )).
% 12.32/12.57 cnf(matrix-5531, plain, ( ( hAPP(c_Set_Oimage(_u11394, _u11395, _u11396), _u11397) != _u11398) | ( hAPP(c_Set_Oimage(tc_fun(_u11394, tc_HOL_Obool), tc_fun(_u11395, tc_HOL_Obool), c_Set_Oimage(_u11394, _u11395, _u11396)), hAPP(c_Set_OPow(_u11394), _u11397)) = hAPP(c_Set_OPow(_u11395), _u11398)) )).
% 12.32/12.57 cnf(matrix-5532, plain, ( ( hAPP(c_Set_OPow(_u11399), c_Orderings_Otop__class_Otop(tc_fun(_u11399, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11399, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5533, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11402, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11402), _u11404))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11402), _u11404)) )).
% 12.32/12.57 cnf(matrix-5534, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11403), _u11405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11403), _u11405))) )).
% 12.32/12.57 cnf(matrix-5535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11406, tc_HOL_Obool)), _u11407), _u11408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11406, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11406), _u11407)), hAPP(c_Set_OPow(_u11406), _u11408))) )).
% 12.32/12.57 cnf(matrix-5536, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11409, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11409, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11409), _u11410)), hAPP(c_Set_OPow(_u11409), _u11411))), hAPP(c_Set_OPow(_u11409), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11409, tc_HOL_Obool)), _u11410), _u11411)))) )).
% 12.32/12.57 cnf(matrix-5537, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11413, tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool)), _u11414), hAPP(hAPP(c_COMBB(tc_fun(_u11412, tc_HOL_Obool), tc_fun(tc_fun(_u11412, tc_HOL_Obool), tc_HOL_Obool), _u11413), c_Set_OPow(_u11412)), _u11415))), hAPP(c_Set_OPow(_u11412), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11413, tc_fun(_u11412, tc_HOL_Obool)), _u11414), _u11415)))) )).
% 12.32/12.57 cnf(matrix-5538, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11419, hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11419)), _u11421)), _u11423)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11419, tc_HOL_Obool)), _u11423), hAPP(c_Set_OPow(_u11419), _u11421))) )).
% 12.32/12.57 cnf(matrix-5539, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11420, tc_HOL_Obool)), _u11424), hAPP(c_Set_OPow(_u11420), _u11422))) | hBOOL(hAPP(c_Predicate_OPowp(_u11420, hAPP(hAPP(c_COMBC(_u11420, tc_fun(_u11420, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11420)), _u11422)), _u11424)) )).
% 12.32/12.57 cnf(matrix-5540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11425, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11426, _u11425, _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11425, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11426, tc_HOL_Obool), tc_fun(_u11425, tc_HOL_Obool), c_Set_Oimage(_u11426, _u11425, _u11427)), hAPP(c_Set_OPow(_u11426), _u11428))), hAPP(c_Set_OPow(_u11425), _u11429))) )).
% 12.32/12.57 cnf(matrix-5541, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11430, _u11431, _u11432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11430), _u11433)) | ( _u11433 = c_Orderings_Obot__class_Obot(tc_fun(_u11430, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11430), _u11434)) | ( _u11434 = c_Orderings_Obot__class_Obot(tc_fun(_u11430, tc_HOL_Obool))) | ( hAPP(_u11432, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11430, tc_HOL_Obool)), _u11433), _u11434)) = hAPP(hAPP(_u11431, hAPP(_u11432, _u11433)), hAPP(_u11432, _u11434))) )).
% 12.32/12.57 cnf(matrix-5542, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.57 cnf(matrix-5543, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(hAPP(c_member(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), _u11439)) )).
% 12.32/12.57 cnf(matrix-5544, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | ~hBOOL(hAPP(hAPP(c_member(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.57 cnf(matrix-5545, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | hBOOL(hAPP(_u11440, skolem245(_u11440, _u11439, _u11438, _u11437))) )).
% 12.32/12.57 cnf(matrix-5546, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11437), _u11438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11437, tc_HOL_Obool)), _u11438), _u11439)) | ~hBOOL(hAPP(_u11440, c_Orderings_Obot__class_Obot(tc_fun(_u11437, tc_HOL_Obool)))) | hBOOL(hAPP(_u11440, _u11438)) | ~hBOOL(hAPP(_u11440, hAPP(hAPP(c_Set_Oinsert(_u11437), skolem244(_u11440, _u11439, _u11438, _u11437)), skolem245(_u11440, _u11439, _u11438, _u11437)))) )).
% 12.32/12.57 cnf(matrix-5547, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11441, _u11442, _u11443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11441), _u11444)) | ( _u11445 = c_Orderings_Obot__class_Obot(tc_fun(_u11441, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11441, tc_HOL_Obool)), _u11445), _u11444)) | ( hAPP(hAPP(_u11442, hAPP(_u11443, _u11445)), hAPP(_u11443, _u11444)) = hAPP(_u11443, _u11444)) )).
% 12.32/12.57 cnf(matrix-5548, plain, ( ( hAPP(hAPP(_u11447, _u11449), _u11449) = _u11449) | ~c_Finite__Set_Ofolding__one__idem(_u11446, _u11447, _u11448) )).
% 12.32/12.57 cnf(matrix-5549, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11450, _u11451, _u11452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11450), _u11453)) | ~hBOOL(hAPP(hAPP(c_member(_u11450), _u11454), _u11453)) | ( hAPP(hAPP(_u11451, _u11454), hAPP(_u11452, _u11453)) = hAPP(_u11452, _u11453)) )).
% 12.32/12.57 cnf(matrix-5550, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11455, _u11456, _u11457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11455), _u11458)) | ( _u11458 = c_Orderings_Obot__class_Obot(tc_fun(_u11455, tc_HOL_Obool))) | ( hAPP(_u11457, hAPP(hAPP(c_Set_Oinsert(_u11455), _u11459), _u11458)) = hAPP(hAPP(_u11456, _u11459), hAPP(_u11457, _u11458))) )).
% 12.32/12.57 cnf(matrix-5551, plain, ( ~class_Groups_Ocomm__monoid__add(_u11461) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11462), _u11463)) | ( _u11463 = c_Orderings_Obot__class_Obot(tc_fun(_u11462, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11464), _u11463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11465), _u11463))) | hBOOL(hAPP(hAPP(c_member(_u11462), skolem246(_u11465, _u11464, _u11463, _u11462, _u11461)), _u11463)) )).
% 12.32/12.57 cnf(matrix-5552, plain, ( ~class_Groups_Ocomm__monoid__add(_u11461) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11462), _u11463)) | ( _u11463 = c_Orderings_Obot__class_Obot(tc_fun(_u11462, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11464), _u11463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11462, _u11461), _u11465), _u11463))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11461), hAPP(_u11464, skolem246(_u11465, _u11464, _u11463, _u11462, _u11461))), hAPP(_u11465, skolem246(_u11465, _u11464, _u11463, _u11462, _u11461)))) )).
% 12.32/12.57 cnf(matrix-5553, 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)), _u11468), 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)), _u11470), 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)), _u11468), _u11470)), c_Int_Ointrel)) )).
% 12.32/12.57 cnf(matrix-5554, 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)), _u11469), _u11471)), 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)), _u11469), 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)), _u11471), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5555, plain, ( ~class_Groups_Ocomm__monoid__add(_u11472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11473), _u11474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11475), _u11476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(_u11473, _u11475), _u11472), _u11477), c_Sum__Type_OPlus(_u11473, _u11475, _u11474, _u11476)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11472), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), hAPP(c_Fun_Ocomp(tc_sum(_u11473, _u11475), _u11472, _u11473, _u11477), c_Sum__Type_OInl(_u11473, _u11475))), _u11474)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11475, _u11472), hAPP(c_Fun_Ocomp(tc_sum(_u11473, _u11475), _u11472, _u11475, _u11477), c_Sum__Type_OInr(_u11475, _u11473))), _u11476))) )).
% 12.32/12.57 cnf(matrix-5556, plain, ( ( hAPP(c_Relation_OImage(_u11478, _u11479, _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11478, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11479, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5557, plain, ( ( hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11481, tc_HOL_Obool)), _u11484), _u11485)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11482, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), _u11484)), hAPP(c_Relation_OImage(_u11481, _u11482, _u11483), _u11485))) )).
% 12.32/12.57 cnf(matrix-5558, plain, ( ( hAPP(c_Relation_OImage(_u11486, _u11487, _u11488), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11489, tc_fun(_u11486, tc_HOL_Obool)), _u11490), _u11491)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11489, tc_fun(_u11487, tc_HOL_Obool)), _u11490), hAPP(hAPP(c_COMBB(tc_fun(_u11486, tc_HOL_Obool), tc_fun(_u11487, tc_HOL_Obool), _u11489), c_Relation_OImage(_u11486, _u11487, _u11488)), _u11491))) )).
% 12.32/12.57 cnf(matrix-5559, plain, ( ( hAPP(c_Set_Oimage(_u11492, _u11493, hAPP(c_Fun_Ocomp(_u11494, _u11493, _u11492, _u11495), _u11496)), _u11497) = hAPP(c_Set_Oimage(_u11494, _u11493, _u11495), hAPP(c_Set_Oimage(_u11492, _u11494, _u11496), _u11497))) )).
% 12.32/12.57 cnf(matrix-5560, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11498, _u11499, _u11500, hAPP(c_COMBK(_u11499, _u11498), _u11501)), _u11502), _u11503) = _u11501) )).
% 12.32/12.57 cnf(matrix-5561, plain, ( ( hAPP(_u11507, hAPP(_u11508, _u11510)) = hAPP(_u11509, _u11510)) | ( hAPP(c_Fun_Ocomp(_u11504, _u11505, _u11506, _u11507), _u11508) != _u11509) )).
% 12.32/12.57 cnf(matrix-5562, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11511, _u11512, _u11513, _u11514), _u11515), _u11516) = hAPP(_u11514, hAPP(_u11515, _u11516))) )).
% 12.32/12.57 cnf(matrix-5563, plain, ( ( hAPP(c_Fun_Ocomp(_u11517, _u11518, _u11519, _u11520), hAPP(c_Fun_Ocomp(_u11521, _u11517, _u11519, _u11522), _u11523)) = hAPP(c_Fun_Ocomp(_u11521, _u11518, _u11519, hAPP(c_Fun_Ocomp(_u11517, _u11518, _u11521, _u11520), _u11522)), _u11523)) )).
% 12.32/12.57 cnf(matrix-5564, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11524, _u11525, _u11526, _u11527), _u11528), _u11529) = hAPP(_u11527, hAPP(_u11528, _u11529))) )).
% 12.32/12.57 cnf(matrix-5565, plain, ( ( hAPP(_u11533, hAPP(_u11534, _u11538)) = hAPP(_u11536, hAPP(_u11537, _u11538))) | ( hAPP(c_Fun_Ocomp(_u11530, _u11531, _u11532, _u11533), _u11534) != hAPP(c_Fun_Ocomp(_u11535, _u11531, _u11532, _u11536), _u11537)) )).
% 12.32/12.57 cnf(matrix-5566, plain, ( ( hAPP(_u11543, hAPP(_u11544, _u11539)) = hAPP(_u11546, hAPP(_u11547, _u11539))) | ( hAPP(c_Fun_Ocomp(_u11540, _u11541, _u11542, _u11543), _u11544) != hAPP(c_Fun_Ocomp(_u11545, _u11541, _u11542, _u11546), _u11547)) )).
% 12.32/12.57 cnf(matrix-5567, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11548, _u11549, _u11550, _u11551), hAPP(c_Product__Type_Oapfst(_u11552, _u11548, _u11550, _u11553), _u11554)) = hAPP(c_Product__Type_Oapfst(_u11552, _u11549, _u11550, hAPP(c_Fun_Ocomp(_u11548, _u11549, _u11552, _u11551), _u11553)), _u11554)) )).
% 12.32/12.57 cnf(matrix-5568, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11555, _u11556, _u11557, _u11558), hAPP(c_Product__Type_Oapsnd(_u11559, _u11555, _u11557, _u11560), _u11561)) = hAPP(c_Product__Type_Oapsnd(_u11559, _u11556, _u11557, hAPP(c_Fun_Ocomp(_u11555, _u11556, _u11559, _u11558), _u11560)), _u11561)) )).
% 12.32/12.57 cnf(matrix-5569, plain, ( ( hAPP(_u11562, hAPP(_u11563, _u11564)) != hAPP(_u11565, hAPP(_u11566, _u11567))) | ( hAPP(hAPP(c_Fun_Ocomp(_u11568, _u11569, _u11570, _u11562), _u11563), _u11564) = hAPP(hAPP(c_Fun_Ocomp(_u11571, _u11569, _u11572, _u11565), _u11566), _u11567)) )).
% 12.32/12.57 cnf(matrix-5570, plain, ( ( hAPP(c_Fun_Ocomp(_u11573, _u11574, _u11575, _u11576), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11575, _u11573), _u11577), _u11578), _u11579)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11575, _u11574), hAPP(c_Fun_Ocomp(_u11573, _u11574, _u11575, _u11576), _u11577)), _u11578), hAPP(_u11576, _u11579))) )).
% 12.32/12.57 cnf(matrix-5571, plain, ( ( hAPP(c_Set_Oimage(_u11580, _u11581, _u11582), c_Orderings_Otop__class_Otop(tc_fun(_u11580, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11581, _u11583, _u11584), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11583, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11580, _u11583, hAPP(c_Fun_Ocomp(_u11581, _u11583, _u11580, _u11584), _u11582)), c_Orderings_Otop__class_Otop(tc_fun(_u11580, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11583, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11585, _u11586), tc_HOL_Obool)), _u11587), _u11588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11585, tc_HOL_Obool)), _u11589), _u11590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11586, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11585, _u11586, _u11587), _u11589)), hAPP(c_Relation_OImage(_u11585, _u11586, _u11588), _u11590))) )).
% 12.32/12.57 cnf(matrix-5573, plain, ( ( hAPP(c_Relation_OImage(_u11591, _u11592, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11591, _u11592), tc_HOL_Obool)), _u11593), _u11594)), _u11595) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11592, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11591, _u11592, _u11593), _u11595)), hAPP(c_Relation_OImage(_u11591, _u11592, _u11594), _u11595))) )).
% 12.32/12.57 cnf(matrix-5574, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11603), _u11605), hAPP(c_Relation_OImage(_u11607, _u11603, _u11609), _u11611))) | hBOOL(hAPP(hAPP(c_member(_u11607), skolem247(_u11611, _u11609, _u11607, _u11605, _u11603)), _u11611)) )).
% 12.32/12.57 cnf(matrix-5575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11603), _u11605), hAPP(c_Relation_OImage(_u11607, _u11603, _u11609), _u11611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11607, _u11603)), hAPP(hAPP(c_Product__Type_OPair(_u11607, _u11603), skolem247(_u11611, _u11609, _u11607, _u11605, _u11603)), _u11605)), _u11609)) )).
% 12.32/12.57 cnf(matrix-5576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11608), _u11597), _u11612)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11608, _u11604)), hAPP(hAPP(c_Product__Type_OPair(_u11608, _u11604), _u11597), _u11606)), _u11610)) | hBOOL(hAPP(hAPP(c_member(_u11604), _u11606), hAPP(c_Relation_OImage(_u11608, _u11604, _u11610), _u11612))) )).
% 12.32/12.57 cnf(matrix-5577, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11613), _u11614), _u11615)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11613, _u11616)), hAPP(hAPP(c_Product__Type_OPair(_u11613, _u11616), _u11614), _u11617)), _u11618)) | hBOOL(hAPP(hAPP(c_member(_u11616), _u11617), hAPP(c_Relation_OImage(_u11613, _u11616, _u11618), _u11615))) )).
% 12.32/12.57 cnf(matrix-5578, plain, ( ( hAPP(c_Relation_OImage(_u11619, _u11620, _u11621), _u11622) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11619, tc_fun(_u11620, tc_HOL_Obool)), _u11622), hAPP(hAPP(c_COMBB(tc_fun(_u11619, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool), _u11619), c_Relation_OImage(_u11619, _u11620, _u11621)), hAPP(hAPP(c_COMBC(_u11619, tc_fun(_u11619, tc_HOL_Obool), tc_fun(_u11619, tc_HOL_Obool)), c_Set_Oinsert(_u11619)), c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5579, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11628), _u11630), hAPP(c_Relation_OImage(_u11632, _u11628, _u11634), hAPP(hAPP(c_Set_Oinsert(_u11632), _u11636), c_Orderings_Obot__class_Obot(tc_fun(_u11632, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11628)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11628), _u11636), _u11630)), _u11634)) )).
% 12.32/12.57 cnf(matrix-5580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11629)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11629), _u11637), _u11631)), _u11635)) | hBOOL(hAPP(hAPP(c_member(_u11629), _u11631), hAPP(c_Relation_OImage(_u11633, _u11629, _u11635), hAPP(hAPP(c_Set_Oinsert(_u11633), _u11637), c_Orderings_Obot__class_Obot(tc_fun(_u11633, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5581, plain, ( ~class_Rings_Oring__1(_u11638) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11638), 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), _u11639), _u11640)), 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(_u11638), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11638), _u11639)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11638), _u11640))) )).
% 12.32/12.57 cnf(matrix-5582, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5583, 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), _u11641), _u11642)), 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), _u11643), _u11644)), 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), _u11641), _u11643)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11642), _u11644))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11641), _u11644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11642), _u11643)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5584, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11645, tc_fun(_u11646, tc_HOL_Obool)), _u11647), hAPP(c_Fun_Ocomp(_u11648, tc_fun(_u11646, tc_HOL_Obool), _u11645, _u11649), _u11650)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11648, tc_fun(_u11646, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11645, _u11648, _u11650), _u11647)), _u11649)) )).
% 12.32/12.57 cnf(matrix-5585, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11651)) = _u11651) )).
% 12.32/12.57 cnf(matrix-5586, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11652, _u11653, _u11654), hAPP(c_Fun_Ocomp(_u11655, tc_fun(_u11653, _u11654), _u11652, _u11656), _u11657)), _u11658) = hAPP(hAPP(_u11656, hAPP(_u11657, hAPP(c_Product__Type_Ofst(_u11652, _u11653), _u11658))), hAPP(c_Product__Type_Osnd(_u11652, _u11653), _u11658))) )).
% 12.32/12.57 cnf(matrix-5587, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.32/12.57 cnf(matrix-5588, plain, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.32/12.57 cnf(matrix-5589, 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), _u11659), _u11660)), 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), _u11660), _u11659)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5590, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5591, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11661) = 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), _u11661), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5592, 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), _u11662), _u11663)), 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), _u11664), _u11665)), 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), _u11662), _u11664)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11663), _u11665))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5593, 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), _u11666), _u11667)), 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), _u11666), _u11667)) )).
% 12.32/12.57 cnf(matrix-5594, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11668) = 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, _u11668)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.32/12.57 cnf(matrix-5595, 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), _u11673), _u11675)), 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), _u11677), _u11679)), 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), _u11673), _u11679)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11677), _u11675))) )).
% 12.32/12.57 cnf(matrix-5596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11674), _u11680)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11678), _u11676))) | 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), _u11674), _u11676)), 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), _u11678), _u11680)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5597, 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), _u11685), _u11687)), 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), _u11689), _u11691)), 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), _u11685), _u11691)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11689), _u11687))) )).
% 12.32/12.57 cnf(matrix-5598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11686), _u11692)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11690), _u11688))) | 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), _u11686), _u11688)), 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), _u11690), _u11692)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5599, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u11693, _u11694, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11693)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11693), c_Hoare__Mirabelle_Opeek__and(_u11693, _u11695, _u11696)), _u11697), _u11695)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11693), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u11693, _u11694, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11693)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11693), _u11695), c_Com_Ocom_OWhile(_u11696, _u11697)), c_Hoare__Mirabelle_Opeek__and(_u11693, _u11695, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11696)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11693), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5600, plain, ( ( c_Nitpick_Odenom(_u11698) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11698, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11698))) )).
% 12.32/12.57 cnf(matrix-5601, plain, ( ( c_Nitpick_Onum(_u11699) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11699, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11699))) )).
% 12.32/12.57 cnf(matrix-5602, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11705, _u11707, _u11709), _u11711), _u11713)) | hBOOL(hAPP(hAPP(_u11707, _u11711), _u11713)) )).
% 12.32/12.57 cnf(matrix-5603, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11705, _u11707, _u11709), _u11711), _u11713)) | hBOOL(hAPP(_u11709, _u11713)) )).
% 12.32/12.57 cnf(matrix-5604, plain, ( ~hBOOL(hAPP(hAPP(_u11708, _u11712), _u11714)) | ~hBOOL(hAPP(_u11710, _u11714)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11706, _u11708, _u11710), _u11712), _u11714)) )).
% 12.32/12.57 cnf(matrix-5605, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11715, _u11716, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11715)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11715), c_Hoare__Mirabelle_Opeek__and(_u11715, _u11717, _u11718)), _u11719), _u11717)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11715), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11715, _u11716, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11715)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11715), _u11717), c_Com_Ocom_OWhile(_u11718, _u11719)), c_Hoare__Mirabelle_Opeek__and(_u11715, _u11717, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11718)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11715), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5606, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), c_Hoare__Mirabelle_Opeek__and(_u11720, _u11722, _u11723)), _u11724), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), c_Hoare__Mirabelle_Opeek__and(_u11720, _u11722, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11723))), _u11726), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11720, _u11721, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11720)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11720), _u11722), c_Com_Ocom_OCond(_u11723, _u11724, _u11726)), _u11725)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11720), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5607, plain, ( ~c_Finite__Set_Ofolding(_u11727, _u11728, _u11729, _u11730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11727), _u11731)) | ~hBOOL(hAPP(hAPP(c_member(_u11727), _u11732), _u11731)) | ( hAPP(_u11730, _u11731) = hAPP(c_Fun_Ocomp(_u11728, _u11728, _u11728, hAPP(_u11730, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11727, tc_HOL_Obool)), _u11731), hAPP(hAPP(c_Set_Oinsert(_u11727), _u11732), c_Orderings_Obot__class_Obot(tc_fun(_u11727, tc_HOL_Obool)))))), hAPP(_u11729, _u11732))) )).
% 12.32/12.57 cnf(matrix-5608, plain, ( ( _u11735 = 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), skolem248(_u11735)), skolem249(_u11735))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5609, plain, ( ~c_Finite__Set_Ofolding(_u11736, _u11737, _u11738, _u11739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11736), _u11740)) | ( hAPP(_u11739, hAPP(hAPP(c_Set_Oinsert(_u11736), _u11741), _u11740)) = hAPP(c_Fun_Ocomp(_u11737, _u11737, _u11737, hAPP(_u11739, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11736, tc_HOL_Obool)), _u11740), hAPP(hAPP(c_Set_Oinsert(_u11736), _u11741), c_Orderings_Obot__class_Obot(tc_fun(_u11736, tc_HOL_Obool)))))), hAPP(_u11738, _u11741))) )).
% 12.32/12.57 cnf(matrix-5610, plain, ( ~c_Finite__Set_Ofolding(_u11742, _u11743, _u11744, _u11745) | ( hAPP(c_Fun_Ocomp(_u11746, _u11747, _u11748, _u11749), hAPP(c_Fun_Ocomp(_u11750, _u11746, _u11748, _u11751), _u11752)) = hAPP(c_Fun_Ocomp(_u11750, _u11747, _u11748, hAPP(c_Fun_Ocomp(_u11746, _u11747, _u11750, _u11749), _u11751)), _u11752)) )).
% 12.32/12.57 cnf(matrix-5611, plain, ( ( hAPP(c_Fun_Ocomp(_u11754, _u11754, _u11754, hAPP(_u11755, _u11757)), hAPP(_u11755, _u11758)) = hAPP(c_Fun_Ocomp(_u11754, _u11754, _u11754, hAPP(_u11755, _u11758)), hAPP(_u11755, _u11757))) | ~c_Finite__Set_Ofolding(_u11753, _u11754, _u11755, _u11756) )).
% 12.32/12.57 cnf(matrix-5612, plain, ( ( hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11764)), hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11765)), _u11766)) = hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11765)), hAPP(c_Fun_Ocomp(_u11760, _u11760, _u11763, hAPP(_u11761, _u11764)), _u11766))) | ~c_Finite__Set_Ofolding(_u11759, _u11760, _u11761, _u11762) )).
% 12.32/12.57 cnf(matrix-5613, plain, ( ~c_Finite__Set_Ofolding(_u11767, _u11768, _u11769, _u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11767), _u11771)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11767), _u11772)) | ( hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11772)), hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11771)), _u11774)) = hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11771)), hAPP(c_Fun_Ocomp(_u11768, _u11768, _u11773, hAPP(_u11770, _u11772)), _u11774))) )).
% 12.32/12.57 cnf(matrix-5614, plain, ( ~c_Finite__Set_Ofolding(_u11775, _u11776, _u11777, _u11778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11775), _u11779)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11775), _u11780)) | ( hAPP(c_Fun_Ocomp(_u11776, _u11776, _u11776, hAPP(_u11778, _u11780)), hAPP(_u11778, _u11779)) = hAPP(c_Fun_Ocomp(_u11776, _u11776, _u11776, hAPP(_u11778, _u11779)), hAPP(_u11778, _u11780))) )).
% 12.32/12.57 cnf(matrix-5615, plain, ( ~c_Finite__Set_Ofolding(_u11781, _u11782, _u11783, _u11784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11781), _u11785)) | ( hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11783, _u11787)), hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11784, _u11785)), _u11788)) = hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11784, _u11785)), hAPP(c_Fun_Ocomp(_u11782, _u11782, _u11786, hAPP(_u11783, _u11787)), _u11788))) )).
% 12.32/12.57 cnf(matrix-5616, plain, ( ~c_Finite__Set_Ofolding(_u11789, _u11790, _u11791, _u11792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11789), _u11793)) | ( hAPP(c_Fun_Ocomp(_u11790, _u11790, _u11790, hAPP(_u11791, _u11794)), hAPP(_u11792, _u11793)) = hAPP(c_Fun_Ocomp(_u11790, _u11790, _u11790, hAPP(_u11792, _u11793)), hAPP(_u11791, _u11794))) )).
% 12.32/12.57 cnf(matrix-5617, plain, ( ~c_Finite__Set_Ofolding(_u11795, _u11796, _u11797, _u11798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11795), _u11799)) | hBOOL(hAPP(hAPP(c_member(_u11795), _u11800), _u11799)) | ( hAPP(_u11798, hAPP(hAPP(c_Set_Oinsert(_u11795), _u11800), _u11799)) = hAPP(c_Fun_Ocomp(_u11796, _u11796, _u11796, hAPP(_u11798, _u11799)), hAPP(_u11797, _u11800))) )).
% 12.32/12.57 cnf(matrix-5618, plain, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | hBOOL(hAPP(hAPP(c_member(_u11804), skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)), _u11805)) )).
% 12.32/12.57 cnf(matrix-5619, plain, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | hBOOL(hAPP(hAPP(c_member(_u11804), skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)), _u11805)) )).
% 12.32/12.57 cnf(matrix-5620, plain, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803) != skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)) )).
% 12.32/12.57 cnf(matrix-5621, plain, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( hAPP(_u11806, skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803)) = hAPP(_u11806, skolem251(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803))) )).
% 12.32/12.57 cnf(matrix-5622, plain, ( ~class_Groups_Ocomm__monoid__add(_u11803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11804), _u11805)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11808, _u11803), _u11807), hAPP(c_Set_Oimage(_u11804, _u11808, _u11806), _u11805)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11804, _u11803), hAPP(c_Fun_Ocomp(_u11808, _u11803, _u11804, _u11807), _u11806)), _u11805)) | ( hAPP(_u11807, hAPP(_u11806, skolem250(_u11808, _u11807, _u11806, _u11805, _u11804, _u11803))) != c_Groups_Ozero__class_Ozero(_u11803)) )).
% 12.32/12.57 cnf(matrix-5623, plain, ( ( c_Random__Sequence_Omap(_u11809, _u11810, _u11811, _u11812) = c_Random__Sequence_Obind(_u11809, _u11810, _u11812, hAPP(c_Fun_Ocomp(_u11810, 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(_u11810)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u11809, c_Random__Sequence_Osingle(_u11810)), _u11811))) )).
% 12.32/12.57 cnf(matrix-5624, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11813), _u11814), _u11815) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11813, tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), _u11814), hAPP(hAPP(c_COMBC(_u11813, tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool)), _u11813), c_Set_Oinsert(tc_fun(_u11813, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_HOL_Obool), _u11813), c_Relation_OImage(_u11813, _u11813, _u11815)), hAPP(hAPP(c_COMBC(_u11813, tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_HOL_Obool)), c_Set_Oinsert(_u11813)), c_Orderings_Obot__class_Obot(tc_fun(_u11813, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11813, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5625, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11821), _u11823) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11819, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11821 = c_Orderings_Obot__class_Obot(tc_fun(_u11819, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5626, plain, ( ( _u11822 != c_Orderings_Obot__class_Obot(tc_fun(_u11820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11820), _u11822), _u11824) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11820, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5627, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11828, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11830), _u11832)) | ( _u11830 = c_Orderings_Obot__class_Obot(tc_fun(_u11828, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5628, plain, ( ( _u11831 != c_Orderings_Obot__class_Obot(tc_fun(_u11829, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11829, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11829), _u11831), _u11833)) )).
% 12.32/12.57 cnf(matrix-5629, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11834), c_Orderings_Obot__class_Obot(tc_fun(_u11834, tc_HOL_Obool))), _u11835) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11834, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5630, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11836), _u11837), _u11838)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11836, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11836, _u11836, _u11839), hAPP(hAPP(c_Set_Oinsert(_u11836), _u11837), c_Orderings_Obot__class_Obot(tc_fun(_u11836, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11836), _u11838), _u11839))) )).
% 12.32/12.57 cnf(matrix-5631, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), hAPP(hAPP(c_Set_Oinsert(_u11840), _u11841), c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool)))), _u11842) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11840, _u11840, _u11842), hAPP(hAPP(c_Set_Oinsert(_u11840), _u11841), c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11840, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5632, plain, ( ~c_Equiv__Relations_Oequiv(_u11843, _u11844, _u11845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11843, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11843, _u11843, _u11845), hAPP(hAPP(c_Set_Oinsert(_u11843), _u11846), c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11843, _u11843, _u11845), hAPP(hAPP(c_Set_Oinsert(_u11843), _u11847), c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11843), _u11846), _u11844)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11843, _u11843)), hAPP(hAPP(c_Product__Type_OPair(_u11843, _u11843), _u11847), _u11846)), _u11845)) )).
% 12.32/12.57 cnf(matrix-5633, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11849, tc_HOL_Obool)), _u11850), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11849), _u11851), _u11852))) | ( _u11850 = hAPP(c_Relation_OImage(_u11849, _u11849, _u11852), hAPP(hAPP(c_Set_Oinsert(_u11849), skolem252(_u11852, _u11851, _u11850, _u11849)), c_Orderings_Obot__class_Obot(tc_fun(_u11849, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5634, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11849, tc_HOL_Obool)), _u11850), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11849), _u11851), _u11852))) | hBOOL(hAPP(hAPP(c_member(_u11849), skolem252(_u11852, _u11851, _u11850, _u11849)), _u11851)) )).
% 12.32/12.57 cnf(matrix-5635, plain, ( ~c_Equiv__Relations_Oequiv(_u11853, _u11854, _u11855) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11856), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11857), _u11854)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11857), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11856), _u11857)), _u11855)) )).
% 12.32/12.57 cnf(matrix-5636, plain, ( ~c_Equiv__Relations_Oequiv(_u11853, _u11854, _u11855) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11856), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11853), _u11857), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11856), _u11857)), _u11855)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11853), hAPP(hAPP(c_Set_Oinsert(_u11853), _u11857), c_Orderings_Obot__class_Obot(tc_fun(_u11853, tc_HOL_Obool)))), _u11855)) )).
% 12.32/12.57 cnf(matrix-5637, plain, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.32/12.57 cnf(matrix-5638, plain, ( ~c_Equiv__Relations_Oequiv(_u11858, _u11859, _u11860) | ~hBOOL(hAPP(hAPP(c_member(_u11858), _u11861), _u11859)) | hBOOL(hAPP(hAPP(c_member(_u11858), _u11861), hAPP(c_Relation_OImage(_u11858, _u11858, _u11860), hAPP(hAPP(c_Set_Oinsert(_u11858), _u11861), c_Orderings_Obot__class_Obot(tc_fun(_u11858, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5639, plain, ( ~c_Equiv__Relations_Oequiv(_u11862, _u11863, _u11864) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11862, _u11862)), hAPP(hAPP(c_Product__Type_OPair(_u11862, _u11862), _u11865), _u11866)), _u11864)) | ( hAPP(c_Relation_OImage(_u11862, _u11862, _u11864), hAPP(hAPP(c_Set_Oinsert(_u11862), _u11865), c_Orderings_Obot__class_Obot(tc_fun(_u11862, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11862, _u11862, _u11864), hAPP(hAPP(c_Set_Oinsert(_u11862), _u11866), c_Orderings_Obot__class_Obot(tc_fun(_u11862, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5640, plain, ( ~c_Equiv__Relations_Oequiv(_u11867, _u11868, _u11869) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11867, tc_HOL_Obool)), _u11870), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11867), _u11868), _u11869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11867, tc_HOL_Obool)), _u11871), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11867), _u11868), _u11869))) | ~hBOOL(hAPP(hAPP(c_member(_u11867), _u11872), _u11870)) | ~hBOOL(hAPP(hAPP(c_member(_u11867), _u11873), _u11871)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11867, _u11867)), hAPP(hAPP(c_Product__Type_OPair(_u11867, _u11867), _u11872), _u11873)), _u11869)) | ( _u11870 = _u11871) )).
% 12.32/12.57 cnf(matrix-5641, plain, ( ~c_Equiv__Relations_Oequiv(_u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11877), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11879), _u11877)) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11880), _u11878)) | ( _u11877 != _u11878) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11874, _u11874)), hAPP(hAPP(c_Product__Type_OPair(_u11874, _u11874), _u11879), _u11880)), _u11876)) )).
% 12.32/12.57 cnf(matrix-5642, plain, ( ~c_Equiv__Relations_Oequiv(_u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11877), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11874), _u11875), _u11876))) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11879), _u11877)) | ~hBOOL(hAPP(hAPP(c_member(_u11874), _u11880), _u11878)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11874, _u11874)), hAPP(hAPP(c_Product__Type_OPair(_u11874, _u11874), _u11879), _u11880)), _u11876)) | ( _u11877 = _u11878) )).
% 12.32/12.57 cnf(matrix-5643, plain, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | ( hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11884), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11885), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5644, plain, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11884), _u11882)) )).
% 12.32/12.57 cnf(matrix-5645, plain, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11885), _u11882)) )).
% 12.32/12.57 cnf(matrix-5646, plain, ( ~c_Equiv__Relations_Oequiv(_u11881, _u11882, _u11883) | ( hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11884), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11881, _u11881, _u11883), hAPP(hAPP(c_Set_Oinsert(_u11881), _u11885), c_Orderings_Obot__class_Obot(tc_fun(_u11881, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11884), _u11882)) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11885), _u11882)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11881, _u11881)), hAPP(hAPP(c_Product__Type_OPair(_u11881, _u11881), _u11884), _u11885)), _u11883)) )).
% 12.32/12.57 cnf(matrix-5647, plain, ( ( hAPP(c_Relation_OImage(_u11886, _u11886, _u11887), hAPP(hAPP(c_Set_Oinsert(_u11886), _u11888), c_Orderings_Obot__class_Obot(tc_fun(_u11886, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11886, _u11886, _u11887), hAPP(hAPP(c_Set_Oinsert(_u11886), _u11889), c_Orderings_Obot__class_Obot(tc_fun(_u11886, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11886, _u11890, _u11887) | ~hBOOL(hAPP(hAPP(c_member(_u11886), _u11889), _u11890)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11886, _u11886)), hAPP(hAPP(c_Product__Type_OPair(_u11886, _u11886), _u11888), _u11889)), _u11887)) )).
% 12.32/12.57 cnf(matrix-5648, plain, ( ~c_Equiv__Relations_Oequiv(_u11891, _u11892, _u11893) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11894), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11895), _u11892)) | ( hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11894), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11895), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11891, _u11891)), hAPP(hAPP(c_Product__Type_OPair(_u11891, _u11891), _u11894), _u11895)), _u11893)) )).
% 12.32/12.57 cnf(matrix-5649, plain, ( ~c_Equiv__Relations_Oequiv(_u11891, _u11892, _u11893) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11894), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(_u11891), _u11895), _u11892)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11891, _u11891)), hAPP(hAPP(c_Product__Type_OPair(_u11891, _u11891), _u11894), _u11895)), _u11893)) | ( hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11894), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11891, _u11891, _u11893), hAPP(hAPP(c_Set_Oinsert(_u11891), _u11895), c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-5650, plain, ( ~c_Equiv__Relations_Oequiv(_u11896, _u11897, _u11898) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11896, _u11896)), hAPP(hAPP(c_Product__Type_OPair(_u11896, _u11896), _u11899), _u11900)), _u11898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11896, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11896, _u11896, _u11898), hAPP(hAPP(c_Set_Oinsert(_u11896), _u11899), c_Orderings_Obot__class_Obot(tc_fun(_u11896, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11896, _u11896, _u11898), hAPP(hAPP(c_Set_Oinsert(_u11896), _u11900), c_Orderings_Obot__class_Obot(tc_fun(_u11896, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-5651, plain, ( ~c_Equiv__Relations_Oequiv(_u11901, _u11902, _u11903) | ~c_Equiv__Relations_Ocongruent(_u11901, tc_fun(_u11904, tc_HOL_Obool), _u11903, _u11905) | ~hBOOL(hAPP(hAPP(c_member(_u11901), _u11906), _u11902)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11901, tc_fun(_u11904, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11901, _u11901, _u11903), hAPP(hAPP(c_Set_Oinsert(_u11901), _u11906), c_Orderings_Obot__class_Obot(tc_fun(_u11901, tc_HOL_Obool))))), _u11905) = hAPP(_u11905, _u11906)) )).
% 12.32/12.57 cnf(matrix-5652, plain, ( ~c_Equiv__Relations_Oequiv(_u11907, _u11908, _u11909) | ~c_Equiv__Relations_Oequiv(_u11910, _u11911, _u11912) | ~c_Equiv__Relations_Ocongruent2(_u11907, _u11910, tc_fun(_u11913, tc_HOL_Obool), _u11909, _u11912, _u11914) | ~hBOOL(hAPP(hAPP(c_member(_u11907), _u11915), _u11908)) | ~hBOOL(hAPP(hAPP(c_member(_u11910), _u11916), _u11911)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11907, tc_fun(_u11913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11907, _u11907, _u11909), hAPP(hAPP(c_Set_Oinsert(_u11907), _u11915), c_Orderings_Obot__class_Obot(tc_fun(_u11907, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11910, tc_fun(_u11913, tc_HOL_Obool)), tc_fun(_u11913, tc_HOL_Obool), _u11907), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11910, tc_fun(_u11913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11910, _u11910, _u11912), hAPP(hAPP(c_Set_Oinsert(_u11910), _u11916), c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool)))))), _u11914)) = hAPP(hAPP(_u11914, _u11915), _u11916)) )).
% 12.32/12.57 cnf(matrix-5653, plain, ( ~c_Equiv__Relations_Oequiv(_u11917, _u11918, _u11919) | ~hBOOL(hAPP(hAPP(c_member(_u11917), _u11920), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11917, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11917, _u11917, _u11919), hAPP(hAPP(c_Set_Oinsert(_u11917), _u11921), c_Orderings_Obot__class_Obot(tc_fun(_u11917, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11917, _u11917, _u11919), hAPP(hAPP(c_Set_Oinsert(_u11917), _u11922), c_Orderings_Obot__class_Obot(tc_fun(_u11917, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11917, _u11917)), hAPP(hAPP(c_Product__Type_OPair(_u11917, _u11917), _u11921), _u11922)), _u11919)) )).
% 12.32/12.57 cnf(matrix-5654, plain, ( ~hBOOL(hAPP(_u11923, _u11924)) | ~hBOOL(hAPP(_u11925, _u11924)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11926, tc_HOL_Obool)), _u11923), _u11925), _u11924)) )).
% 12.32/12.57 cnf(matrix-5655, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11927, tc_HOL_Obool)), _u11928), _u11929), _u11930)) | hBOOL(hAPP(_u11928, _u11930)) )).
% 12.32/12.57 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11927, tc_HOL_Obool)), _u11928), _u11929), _u11930)) | hBOOL(hAPP(_u11929, _u11930)) )).
% 12.32/12.57 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), _u11933)) | ~hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), _u11934)) | hBOOL(hAPP(hAPP(c_member(_u11931), _u11932), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11931, tc_HOL_Obool)), _u11933), _u11934))) )).
% 12.32/12.57 cnf(matrix-5658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11935, tc_HOL_Obool)), _u11937), _u11938))) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), _u11937)) )).
% 12.32/12.57 cnf(matrix-5659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11935, tc_HOL_Obool)), _u11937), _u11938))) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11936), _u11938)) )).
% 12.32/12.57 cnf(matrix-5660, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11939, tc_HOL_Obool)), _u11940), _u11941))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), _u11940)) )).
% 12.32/12.57 cnf(matrix-5661, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11939, tc_HOL_Obool)), _u11940), _u11941))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11939), _u11941)) )).
% 12.32/12.57 cnf(matrix-5662, plain, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11943 = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.57 cnf(matrix-5663, plain, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11944 = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.57 cnf(matrix-5664, plain, ( ~class_Lattices_Obounded__lattice__top(_u11942) | ( _u11943 != c_Orderings_Otop__class_Otop(_u11942)) | ( _u11944 != c_Orderings_Otop__class_Otop(_u11942)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11942), _u11943), _u11944) = c_Orderings_Otop__class_Otop(_u11942)) )).
% 12.32/12.57 cnf(matrix-5665, plain, ( ~class_Lattices_Obounded__lattice__top(_u11945) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11945), _u11946), c_Orderings_Otop__class_Otop(_u11945)) = _u11946) )).
% 12.32/12.57 cnf(matrix-5666, plain, ( ~class_Lattices_Obounded__lattice__top(_u11947) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11947), c_Orderings_Otop__class_Otop(_u11947)), _u11948) = _u11948) )).
% 12.32/12.57 cnf(matrix-5667, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11949, tc_HOL_Obool)), _u11950), c_Orderings_Otop__class_Otop(tc_fun(_u11949, tc_HOL_Obool))) = _u11950) )).
% 12.32/12.57 cnf(matrix-5668, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))), _u11952) = _u11952) )).
% 12.32/12.57 cnf(matrix-5669, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11957, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u11957, tc_fun(_u11957, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11957)), _u11959)), hAPP(hAPP(c_COMBC(_u11957, tc_fun(_u11957, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11957)), _u11961)), _u11963)) | hBOOL(hAPP(hAPP(c_member(_u11957), _u11963), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11957, tc_HOL_Obool)), _u11959), _u11961))) )).
% 12.32/12.57 cnf(matrix-5670, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11958), _u11964), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11958, tc_HOL_Obool)), _u11960), _u11962))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11958, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u11958, tc_fun(_u11958, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11958)), _u11960)), hAPP(hAPP(c_COMBC(_u11958, tc_fun(_u11958, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11958)), _u11962)), _u11964)) )).
% 12.32/12.57 cnf(matrix-5671, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11969, tc_HOL_Obool)), _u11973), _u11975))) | hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), _u11973)) )).
% 12.32/12.57 cnf(matrix-5672, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11969, tc_HOL_Obool)), _u11973), _u11975))) | hBOOL(hAPP(hAPP(c_member(_u11969), _u11971), _u11975)) )).
% 12.32/12.57 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), _u11974)) | ~hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), _u11976)) | hBOOL(hAPP(hAPP(c_member(_u11970), _u11972), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11970, tc_HOL_Obool)), _u11974), _u11976))) )).
% 12.32/12.57 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11977), _u11978), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11977, tc_HOL_Obool)), _u11979), _u11980))) | hBOOL(hAPP(hAPP(c_member(_u11977), _u11978), _u11979)) )).
% 12.32/12.57 cnf(matrix-5675, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11982), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11981, tc_HOL_Obool)), _u11983), _u11984))) | hBOOL(hAPP(hAPP(c_member(_u11981), _u11982), _u11984)) )).
% 12.32/12.57 cnf(matrix-5676, plain, ( ~class_Lattices_Odistrib__lattice(_u11985) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11985), _u11986), _u11987)), _u11988) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11985), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), _u11986), _u11988)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11985), _u11987), _u11988))) )).
% 12.32/12.57 cnf(matrix-5677, plain, ( ~class_Lattices_Odistrib__lattice(_u11989) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11989), _u11990), _u11991)), _u11992) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), _u11990), _u11992)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11989), _u11991), _u11992))) )).
% 12.32/12.57 cnf(matrix-5678, plain, ( ~class_Lattices_Odistrib__lattice(_u11993) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11993), _u11995), _u11996)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11993), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), _u11995)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11993), _u11994), _u11996))) )).
% 12.32/12.57 cnf(matrix-5679, plain, ( ~class_Lattices_Odistrib__lattice(_u11997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11997), _u11999), _u12000)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11997), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), _u11999)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11997), _u11998), _u12000))) )).
% 12.32/12.57 cnf(matrix-5680, plain, ( ~class_Lattices_Olattice(_u12001) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12001), _u12002), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12001), _u12002), _u12003)) = _u12002) )).
% 12.32/12.57 cnf(matrix-5681, plain, ( ~class_Lattices_Olattice(_u12004) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12004), _u12005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12004), _u12005), _u12006)) = _u12005) )).
% 12.32/12.57 cnf(matrix-5682, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12008), _u12009)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12009), _u12010))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), _u12010), _u12008)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12008), _u12009)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12009), _u12010))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12007, tc_HOL_Obool)), _u12010), _u12008))) )).
% 12.32/12.57 cnf(matrix-5683, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12011, tc_HOL_Obool)), _u12012), _u12013)), _u12014) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12011, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), _u12012), _u12014)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12011, tc_HOL_Obool)), _u12013), _u12014))) )).
% 12.32/12.57 cnf(matrix-5684, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12017)), _u12018) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12015, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12018)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12015, tc_HOL_Obool)), _u12017), _u12018))) )).
% 12.32/12.57 cnf(matrix-5685, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12019, tc_HOL_Obool)), _u12021), _u12022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12019, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), _u12021)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12019, tc_HOL_Obool)), _u12020), _u12022))) )).
% 12.32/12.57 cnf(matrix-5686, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12023, tc_HOL_Obool)), _u12025), _u12026)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), _u12025)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12023, tc_HOL_Obool)), _u12024), _u12026))) )).
% 12.32/12.57 cnf(matrix-5687, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12027, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))), _u12028) = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5688, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12029, tc_HOL_Obool)), _u12030), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5689, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12038, tc_HOL_Obool)), _u12040), _u12042) != c_Orderings_Obot__class_Obot(tc_fun(_u12038, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12038), _u12032), _u12040)) | ~hBOOL(hAPP(hAPP(c_member(_u12038), _u12031), _u12042)) | ( _u12032 != _u12031) )).
% 12.32/12.57 cnf(matrix-5690, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12039), skolem253(_u12043, _u12041, _u12039)), _u12041)) )).
% 12.32/12.57 cnf(matrix-5691, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12039), skolem254(_u12043, _u12041, _u12039)), _u12043)) )).
% 12.32/12.57 cnf(matrix-5692, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12039, tc_HOL_Obool)), _u12041), _u12043) = c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))) | ( skolem253(_u12043, _u12041, _u12039) = skolem254(_u12043, _u12041, _u12039)) )).
% 12.32/12.57 cnf(matrix-5693, plain, ( ~class_Lattices_Obounded__lattice__bot(_u12044) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12044), c_Orderings_Obot__class_Obot(_u12044)), _u12045) = c_Orderings_Obot__class_Obot(_u12044)) )).
% 12.32/12.57 cnf(matrix-5694, plain, ( ~class_Lattices_Obounded__lattice__bot(_u12046) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12046), _u12047), c_Orderings_Obot__class_Obot(_u12046)) = c_Orderings_Obot__class_Obot(_u12046)) )).
% 12.32/12.57 cnf(matrix-5695, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12048, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), _u12050)), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), _u12051)) = hAPP(hAPP(c_Set_Oinsert(_u12048), _u12049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12048, tc_HOL_Obool)), _u12050), _u12051))) )).
% 12.32/12.57 cnf(matrix-5696, plain, ( ( c_Map_Orestrict__map(_u12052, _u12053, c_Map_Orestrict__map(_u12052, _u12053, _u12054, _u12055), _u12056) = c_Map_Orestrict__map(_u12052, _u12053, _u12054, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12052, tc_HOL_Obool)), _u12055), _u12056))) )).
% 12.32/12.57 cnf(matrix-5697, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12058), _u12059)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12060), _u12059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), _u12058), _u12059)), _u12060)) )).
% 12.32/12.57 cnf(matrix-5698, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063)), _u12064) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12061, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12064)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12063), _u12064))) )).
% 12.32/12.57 cnf(matrix-5699, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12065, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12065, tc_HOL_Obool)), _u12066), _u12067)), _u12068) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12065, tc_HOL_Obool)), _u12066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12065, tc_HOL_Obool)), _u12067), _u12068))) )).
% 12.32/12.57 cnf(matrix-5700, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12069, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), _u12071)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12070), _u12072))) )).
% 12.32/12.57 cnf(matrix-5701, plain, ( ~c_Nat__Transfer_Onat__set(_u12073) | ~c_Nat__Transfer_Onat__set(_u12074) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12073), _u12074)) )).
% 12.32/12.57 cnf(matrix-5702, plain, ( hBOOL(hAPP(_u12076, _u12078)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12075, tc_HOL_Obool)), _u12076), _u12077), _u12078)) )).
% 12.32/12.57 cnf(matrix-5703, plain, ( hBOOL(hAPP(_u12081, _u12082)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12079, tc_HOL_Obool)), _u12080), _u12081), _u12082)) )).
% 12.32/12.57 cnf(matrix-5704, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12083, tc_HOL_Obool)), _u12084), _u12084) = _u12084) )).
% 12.32/12.57 cnf(matrix-5705, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12085, tc_HOL_Obool)), _u12086), _u12087) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12085, tc_HOL_Obool)), _u12087), _u12086)) )).
% 12.32/12.57 cnf(matrix-5706, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), _u12090)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12088, tc_HOL_Obool)), _u12089), _u12090)) )).
% 12.32/12.57 cnf(matrix-5707, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12093), _u12094)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12093), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12091, tc_HOL_Obool)), _u12092), _u12094))) )).
% 12.32/12.57 cnf(matrix-5708, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12096), _u12097)), _u12098) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12095, tc_HOL_Obool)), _u12097), _u12098))) )).
% 12.32/12.57 cnf(matrix-5709, plain, ( ~class_Lattices_Osemilattice__inf(_u12099) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12099), _u12100), _u12100) = _u12100) )).
% 12.32/12.57 cnf(matrix-5710, plain, ( ~class_Lattices_Osemilattice__inf(_u12101) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12101), _u12102), _u12102) = _u12102) )).
% 12.32/12.57 cnf(matrix-5711, plain, ( ~class_Lattices_Osemilattice__inf(_u12103) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12104), _u12105) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12105), _u12104)) )).
% 12.32/12.57 cnf(matrix-5712, plain, ( ~class_Lattices_Olattice(_u12106) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12106), _u12107), _u12108) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12106), _u12108), _u12107)) )).
% 12.32/12.57 cnf(matrix-5713, plain, ( ~class_Lattices_Osemilattice__inf(_u12109) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12109), _u12110), _u12111) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12109), _u12111), _u12110)) )).
% 12.32/12.57 cnf(matrix-5714, plain, ( ~class_Lattices_Osemilattice__inf(_u12112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), _u12114)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12112), _u12113), _u12114)) )).
% 12.32/12.57 cnf(matrix-5715, plain, ( ~class_Lattices_Olattice(_u12115) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), _u12117)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12115), _u12116), _u12117)) )).
% 12.32/12.57 cnf(matrix-5716, plain, ( ~class_Lattices_Osemilattice__inf(_u12118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), _u12120)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12118), _u12119), _u12120)) )).
% 12.32/12.57 cnf(matrix-5717, plain, ( ~class_Lattices_Osemilattice__inf(_u12121) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), _u12124)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), _u12124))) )).
% 12.32/12.57 cnf(matrix-5718, plain, ( ~class_Lattices_Olattice(_u12125) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12127), _u12128)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12125), _u12126), _u12128))) )).
% 12.32/12.57 cnf(matrix-5719, plain, ( ~class_Lattices_Osemilattice__inf(_u12129) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12131), _u12132)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12131), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12129), _u12130), _u12132))) )).
% 12.32/12.57 cnf(matrix-5720, plain, ( ~class_Lattices_Osemilattice__inf(_u12133) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12134), _u12135)), _u12136) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12133), _u12135), _u12136))) )).
% 12.32/12.57 cnf(matrix-5721, plain, ( ~class_Lattices_Olattice(_u12137) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12138), _u12139)), _u12140) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12138), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12137), _u12139), _u12140))) )).
% 12.32/12.57 cnf(matrix-5722, plain, ( ~class_Lattices_Osemilattice__inf(_u12141) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12142), _u12143)), _u12144) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12142), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12141), _u12143), _u12144))) )).
% 12.32/12.57 cnf(matrix-5723, plain, ( ~class_Lattices_Olattice(_u12145) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12146, _u12145)), _u12147), _u12148), _u12149) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12145), hAPP(_u12147, _u12149)), hAPP(_u12148, _u12149))) )).
% 12.32/12.57 cnf(matrix-5724, plain, ( ~class_Lattices_Olattice(_u12150) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12151, _u12150)), _u12152), _u12153), _u12154) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12150), hAPP(_u12152, _u12154)), hAPP(_u12153, _u12154))) )).
% 12.32/12.57 cnf(matrix-5725, plain, ( ~class_Lattices_Osemilattice__inf(_u12155) | ~class_Orderings_Olinorder(_u12155) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u12155) = c_Orderings_Oord__class_Omin(_u12155)) )).
% 12.32/12.57 cnf(matrix-5726, plain, ( ~class_Lattices_Olattice(_u12156) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12156), _u12157), _u12157) = _u12157) )).
% 12.32/12.57 cnf(matrix-5727, plain, ( ~class_Lattices_Osemilattice__inf(_u12158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12158), _u12159), _u12160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12158), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12158), _u12161), _u12159)), _u12160)) )).
% 12.32/12.57 cnf(matrix-5728, plain, ( ~class_Lattices_Osemilattice__inf(_u12162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12162), _u12163), _u12164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12162), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12162), _u12163), _u12165)), _u12164)) )).
% 12.32/12.57 cnf(matrix-5729, plain, ( ~class_Lattices_Osemilattice__inf(_u12166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12166), _u12168), _u12169))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), _u12168)) )).
% 12.32/12.57 cnf(matrix-5730, plain, ( ~class_Lattices_Osemilattice__inf(_u12166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12166), _u12168), _u12169))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12166), _u12167), _u12169)) )).
% 12.32/12.57 cnf(matrix-5731, plain, ( ~class_Lattices_Osemilattice__inf(_u12170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), _u12171), _u12172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), _u12173), _u12174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12170), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12170), _u12171), _u12173)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12170), _u12172), _u12174))) )).
% 12.32/12.57 cnf(matrix-5732, plain, ( ~class_Lattices_Osemilattice__inf(_u12175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), _u12177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), _u12178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12175), _u12176), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12175), _u12177), _u12178))) )).
% 12.32/12.57 cnf(matrix-5733, plain, ( ~class_Lattices_Osemilattice__inf(_u12179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), _u12181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), _u12182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12179), _u12180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12179), _u12181), _u12182))) )).
% 12.32/12.57 cnf(matrix-5734, plain, ( ~class_Lattices_Osemilattice__inf(_u12183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12183), _u12184), _u12185)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12183), _u12185), _u12184) = _u12184) )).
% 12.32/12.57 cnf(matrix-5735, plain, ( ~class_Lattices_Osemilattice__inf(_u12186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12186), _u12187), _u12188)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), _u12187), _u12188) = _u12187) )).
% 12.32/12.57 cnf(matrix-5736, plain, ( ~class_Lattices_Osemilattice__inf(_u12189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12189), _u12190), _u12191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12189), _u12192), _u12190)), _u12191)) )).
% 12.32/12.57 cnf(matrix-5737, plain, ( ~class_Lattices_Osemilattice__inf(_u12193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12193), _u12194), _u12195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12193), _u12194), _u12196)), _u12195)) )).
% 12.32/12.57 cnf(matrix-5738, plain, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12199)) )).
% 12.32/12.57 cnf(matrix-5739, plain, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12200)) )).
% 12.32/12.57 cnf(matrix-5740, plain, ( ~class_Lattices_Osemilattice__inf(_u12197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), _u12200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12197), _u12198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12197), _u12199), _u12200))) )).
% 12.32/12.57 cnf(matrix-5741, plain, ( ~class_Lattices_Osemilattice__inf(_u12201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12201), _u12202), _u12203)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12201), _u12202), _u12203) = _u12202) )).
% 12.32/12.57 cnf(matrix-5742, plain, ( ~class_Lattices_Osemilattice__inf(_u12201) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12201), _u12202), _u12203) != _u12202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12201), _u12202), _u12203)) )).
% 12.32/12.57 cnf(matrix-5743, plain, ( ~class_Lattices_Osemilattice__inf(_u12204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12204), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12204), _u12205), _u12206)), _u12206)) )).
% 12.32/12.57 cnf(matrix-5744, plain, ( ~class_Lattices_Olattice(_u12207) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12207), _u12208), _u12209)), _u12209)) )).
% 12.32/12.57 cnf(matrix-5745, plain, ( ~class_Lattices_Osemilattice__inf(_u12210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12210), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12210), _u12211), _u12212)), _u12211)) )).
% 12.32/12.57 cnf(matrix-5746, plain, ( ~class_Lattices_Olattice(_u12213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12213), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12213), _u12214), _u12215)), _u12214)) )).
% 12.32/12.57 cnf(matrix-5747, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12216, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12216, tc_HOL_Obool)), _u12217), _u12218)), _u12217)) )).
% 12.32/12.57 cnf(matrix-5748, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12219, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12219, tc_HOL_Obool)), _u12220), _u12221)), _u12221)) )).
% 12.32/12.57 cnf(matrix-5749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12222, tc_HOL_Obool)), _u12223), _u12224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12222, tc_HOL_Obool)), _u12223), _u12224) = _u12223) )).
% 12.32/12.57 cnf(matrix-5750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12225, tc_HOL_Obool)), _u12226), _u12227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12225, tc_HOL_Obool)), _u12227), _u12226) = _u12226) )).
% 12.32/12.57 cnf(matrix-5751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), _u12230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), _u12231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12228, tc_HOL_Obool)), _u12229), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12228, tc_HOL_Obool)), _u12230), _u12231))) )).
% 12.32/12.57 cnf(matrix-5752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), _u12233), _u12234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), _u12235), _u12236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12232, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12232, tc_HOL_Obool)), _u12233), _u12235)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12232, tc_HOL_Obool)), _u12234), _u12236))) )).
% 12.32/12.57 cnf(matrix-5753, plain, ( ( hAPP(c_Set_OPow(_u12237), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12237, tc_HOL_Obool)), _u12238), _u12239)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u12237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12237), _u12238)), hAPP(c_Set_OPow(_u12237), _u12239))) )).
% 12.32/12.57 cnf(matrix-5754, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12240, tc_fun(_u12241, tc_HOL_Obool)), _u12242), hAPP(hAPP(c_COMBB(tc_fun(_u12241, tc_HOL_Obool), tc_fun(_u12241, tc_HOL_Obool), _u12240), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12241, tc_HOL_Obool)), _u12243)), _u12244)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12241, tc_HOL_Obool)), _u12243), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12240, tc_fun(_u12241, tc_HOL_Obool)), _u12242), _u12244))) )).
% 12.32/12.57 cnf(matrix-5755, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12245, tc_fun(_u12246, tc_HOL_Obool)), _u12247), hAPP(hAPP(c_COMBC(_u12245, tc_fun(_u12246, tc_HOL_Obool), tc_fun(_u12246, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12246, tc_HOL_Obool), tc_fun(tc_fun(_u12246, tc_HOL_Obool), tc_fun(_u12246, tc_HOL_Obool)), _u12245), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12246, tc_HOL_Obool))), _u12248)), _u12249)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12246, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12245, tc_fun(_u12246, tc_HOL_Obool)), _u12247), _u12248)), _u12249)) )).
% 12.32/12.57 cnf(matrix-5756, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12252, tc_fun(_u12250, tc_HOL_Obool)), _u12253), _u12254)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12252, tc_fun(_u12250, tc_HOL_Obool)), _u12253), hAPP(hAPP(c_COMBB(tc_fun(_u12250, tc_HOL_Obool), tc_fun(_u12250, tc_HOL_Obool), _u12252), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12250, tc_HOL_Obool)), _u12251)), _u12254))) )).
% 12.32/12.57 cnf(matrix-5757, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12255, tc_HOL_Obool)), _u12256), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12257, tc_fun(_u12255, tc_HOL_Obool)), _u12258), _u12259)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12257, tc_fun(_u12255, tc_HOL_Obool)), _u12258), hAPP(hAPP(c_COMBB(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool), _u12257), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12255, tc_HOL_Obool)), _u12256)), _u12259))) )).
% 12.32/12.57 cnf(matrix-5758, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12261, tc_fun(_u12260, tc_HOL_Obool)), _u12262), _u12263)), _u12264) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12261, tc_fun(_u12260, tc_HOL_Obool)), _u12262), hAPP(hAPP(c_COMBC(_u12261, tc_fun(_u12260, tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_HOL_Obool), tc_fun(tc_fun(_u12260, tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), _u12261), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12260, tc_HOL_Obool))), _u12263)), _u12264))) )).
% 12.32/12.57 cnf(matrix-5759, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12266, tc_fun(_u12265, tc_HOL_Obool)), _u12267), _u12268)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12269, tc_fun(_u12265, tc_HOL_Obool)), _u12270), _u12271)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12266, tc_fun(_u12265, tc_HOL_Obool)), _u12267), hAPP(hAPP(c_COMBB(tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12265, tc_HOL_Obool), _u12266), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12269, tc_fun(_u12265, tc_HOL_Obool)), _u12270)), hAPP(hAPP(c_COMBC(_u12266, tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool)), tc_fun(tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool)), tc_fun(_u12269, tc_fun(_u12265, tc_HOL_Obool))), _u12266), c_COMBB(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool), _u12269)), hAPP(hAPP(c_COMBB(tc_fun(_u12265, tc_HOL_Obool), tc_fun(tc_fun(_u12265, tc_HOL_Obool), tc_fun(_u12265, tc_HOL_Obool)), _u12266), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool))), _u12268))), _u12271)))) )).
% 12.32/12.57 cnf(matrix-5760, plain, ( ~class_Lattices_Olattice(_u12272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12272), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12272), _u12274), _u12275))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12272), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), _u12274)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12272), _u12273), _u12275)))) )).
% 12.32/12.57 cnf(matrix-5761, plain, ( ~class_Lattices_Olattice(_u12276) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12276), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), _u12278)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), _u12279))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12276), _u12277), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12276), _u12278), _u12279)))) )).
% 12.32/12.57 cnf(matrix-5762, plain, ( ~class_Lattices_Oboolean__algebra(_u12280) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12280), _u12281), hAPP(c_Groups_Ouminus__class_Ouminus(_u12280), _u12281)) = c_Orderings_Obot__class_Obot(_u12280)) )).
% 12.32/12.57 cnf(matrix-5763, plain, ( ~class_Lattices_Oboolean__algebra(_u12282) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12282), hAPP(c_Groups_Ouminus__class_Ouminus(_u12282), _u12283)), _u12283) = c_Orderings_Obot__class_Obot(_u12282)) )).
% 12.32/12.57 cnf(matrix-5764, plain, ( ~class_Lattices_Oboolean__algebra(_u12284) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12284), _u12285), _u12286) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12284), _u12285), hAPP(c_Groups_Ouminus__class_Ouminus(_u12284), _u12286))) )).
% 12.32/12.57 cnf(matrix-5765, plain, ( ~class_Lattices_Oboolean__algebra(_u12287) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12287), _u12288), _u12289)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12287), hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), _u12288)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12287), _u12289))) )).
% 12.32/12.57 cnf(matrix-5766, plain, ( ~class_Lattices_Oboolean__algebra(_u12290) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12290), _u12291), _u12292)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12290), hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), _u12291)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12290), _u12292))) )).
% 12.32/12.57 cnf(matrix-5767, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12294), _u12295)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12293), _u12294), _u12296)), _u12295) = hAPP(hAPP(c_Set_Oinsert(_u12293), _u12294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, tc_HOL_Obool)), _u12296), _u12295))) )).
% 12.32/12.57 cnf(matrix-5768, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12297), _u12298), _u12299)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool)), _u12299), hAPP(hAPP(c_Set_Oinsert(_u12297), _u12298), _u12300)) = hAPP(hAPP(c_Set_Oinsert(_u12297), _u12298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool)), _u12299), _u12300))) )).
% 12.32/12.57 cnf(matrix-5769, plain, ( hBOOL(hAPP(hAPP(c_member(_u12301), _u12302), _u12303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12301, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12301), _u12302), _u12304)), _u12303) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12301, tc_HOL_Obool)), _u12304), _u12303)) )).
% 12.32/12.57 cnf(matrix-5770, plain, ( hBOOL(hAPP(hAPP(c_member(_u12305), _u12306), _u12307)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12305, tc_HOL_Obool)), _u12307), hAPP(hAPP(c_Set_Oinsert(_u12305), _u12306), _u12308)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12305, tc_HOL_Obool)), _u12307), _u12308)) )).
% 12.32/12.57 cnf(matrix-5771, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12313), _u12315), _u12317)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12313, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12313), _u12315), _u12319)), _u12317) = hAPP(hAPP(c_Set_Oinsert(_u12313), _u12315), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12313, tc_HOL_Obool)), _u12319), _u12317))) )).
% 12.32/12.57 cnf(matrix-5772, plain, ( hBOOL(hAPP(hAPP(c_member(_u12314), _u12316), _u12318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12314), _u12316), _u12320)), _u12318) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), _u12320), _u12318)) )).
% 12.32/12.57 cnf(matrix-5773, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12325), _u12327), _u12329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12325, tc_HOL_Obool)), _u12329), hAPP(hAPP(c_Set_Oinsert(_u12325), _u12327), _u12331)) = hAPP(hAPP(c_Set_Oinsert(_u12325), _u12327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12325, tc_HOL_Obool)), _u12329), _u12331))) )).
% 12.32/12.57 cnf(matrix-5774, plain, ( hBOOL(hAPP(hAPP(c_member(_u12326), _u12328), _u12330)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12326, tc_HOL_Obool)), _u12330), hAPP(hAPP(c_Set_Oinsert(_u12326), _u12328), _u12332)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12326, tc_HOL_Obool)), _u12330), _u12332)) )).
% 12.32/12.57 cnf(matrix-5775, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12333, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12334, tc_HOL_Obool)), _u12336), _u12337))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12333, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), _u12336)), hAPP(c_Set_Oimage(_u12334, _u12333, _u12335), _u12337)))) )).
% 12.32/12.57 cnf(matrix-5776, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12338, tc_HOL_Obool)), _u12339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12338, tc_HOL_Obool)), _u12340), _u12339)) = c_Orderings_Obot__class_Obot(tc_fun(_u12338, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5777, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12341, tc_HOL_Obool)), _u12342), _u12343) != c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12341, tc_HOL_Obool)), _u12342), _u12343) = _u12342) )).
% 12.32/12.57 cnf(matrix-5778, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12348, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12348, tc_HOL_Obool)), _u12350), _u12352)), _u12354) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12348, tc_HOL_Obool)), _u12350), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12348, tc_HOL_Obool)), _u12352), _u12354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12348, tc_HOL_Obool)), _u12354), _u12350)) )).
% 12.32/12.57 cnf(matrix-5779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12349, tc_HOL_Obool)), _u12355), _u12351)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12349, tc_HOL_Obool)), _u12351), _u12353)), _u12355) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12349, tc_HOL_Obool)), _u12351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12349, tc_HOL_Obool)), _u12353), _u12355))) )).
% 12.32/12.57 cnf(matrix-5780, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12356, tc_HOL_Obool)), _u12358), _u12359)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12356, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), _u12358)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12356, tc_HOL_Obool)), _u12357), _u12359))) )).
% 12.32/12.57 cnf(matrix-5781, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12360, tc_HOL_Obool)), _u12362), _u12363)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12360, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), _u12362)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12360, tc_HOL_Obool)), _u12361), _u12363))) )).
% 12.32/12.57 cnf(matrix-5782, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12364, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12364, tc_HOL_Obool)), _u12365), _u12366)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12364, tc_HOL_Obool)), _u12365), _u12366)) = _u12365) )).
% 12.32/12.57 cnf(matrix-5783, plain, ( ~class_Orderings_Oorder(_u12367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12367, _u12368), _u12369)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12367, _u12369), _u12370)) = c_Orderings_Obot__class_Obot(tc_fun(_u12367, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5784, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u12371), _u12372) = 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)), _u12371)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12372)))) )).
% 12.32/12.57 cnf(matrix-5785, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12373, tc_HOL_Obool)), _u12374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12373, tc_HOL_Obool)), _u12374)) = c_Orderings_Obot__class_Obot(tc_fun(_u12373, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5786, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12375, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12375, tc_HOL_Obool)), _u12376)), _u12376) = c_Orderings_Obot__class_Obot(tc_fun(_u12375, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5787, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12378, tc_HOL_Obool)), _u12380), _u12381))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), _u12380)), hAPP(c_Relation_OImage(_u12378, _u12377, _u12379), _u12381)))) )).
% 12.32/12.57 cnf(matrix-5788, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), _u12383)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12382, tc_HOL_Obool)), _u12384))) )).
% 12.32/12.57 cnf(matrix-5789, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12385, tc_HOL_Obool)), _u12386), _u12387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12385, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), _u12386)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12385, tc_HOL_Obool)), _u12387))) )).
% 12.32/12.57 cnf(matrix-5790, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12388, tc_HOL_Obool)), _u12389), _u12390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12388, tc_HOL_Obool)), _u12390))) )).
% 12.32/12.57 cnf(matrix-5791, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12391, tc_HOL_Obool)), _u12392), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12391, tc_HOL_Obool)), _u12393)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12391, tc_HOL_Obool)), _u12392), _u12393)) )).
% 12.32/12.57 cnf(matrix-5792, plain, ( ~class_Orderings_Oorder(_u12394) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12394, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12394, _u12395, _u12396)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12394, _u12396, _u12397)) = c_Orderings_Obot__class_Obot(tc_fun(_u12394, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5793, plain, ( ( hAPP(c_Relation_OImage(_u12398, _u12398, c_Relation_OId__on(_u12398, _u12399)), _u12400) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool)), _u12399), _u12400)) )).
% 12.32/12.57 cnf(matrix-5794, plain, ( ~c_Nat__Transfer_Onat__set(_u12401) | ~c_Nat__Transfer_Onat__set(_u12402) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12401), _u12402) = 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), _u12401)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12402)))) )).
% 12.32/12.57 cnf(matrix-5795, plain, ( ~c_Equiv__Relations_Oequiv(_u12403, _u12404, _u12405) | ~c_Equiv__Relations_Ocongruent2(_u12403, _u12406, _u12407, _u12405, _u12408, _u12409) | ~hBOOL(hAPP(hAPP(c_member(_u12403), _u12410), _u12404)) | c_Equiv__Relations_Ocongruent(_u12406, _u12407, _u12408, hAPP(_u12409, _u12410)) )).
% 12.32/12.57 cnf(matrix-5796, plain, ( ~class_Lattices_Olattice(_u12411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_member(_u12411), _u12413), _u12412)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12411), _u12413), c_Big__Operators_Olattice__class_OSup__fin(_u12411, _u12412)) = _u12413) )).
% 12.32/12.57 cnf(matrix-5797, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12421) != c_Orderings_Obot__class_Obot(tc_fun(_u12417, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12417, tc_HOL_Obool)), _u12421))) )).
% 12.32/12.57 cnf(matrix-5798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12418, tc_HOL_Obool)), _u12420), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12418, tc_HOL_Obool)), _u12422))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12418, tc_HOL_Obool)), _u12420), _u12422) = c_Orderings_Obot__class_Obot(tc_fun(_u12418, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5799, plain, ( ~class_Orderings_Oorder(_u12423) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12423, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12423, _u12424), _u12425)), c_SetInterval_Oord__class_OatLeastAtMost(_u12423, _u12425, _u12426)) = c_Orderings_Obot__class_Obot(tc_fun(_u12423, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5800, plain, ( ~class_Orderings_Olinorder(_u12427) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12427, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12427, _u12428, _u12429)), c_SetInterval_Oord__class_OatLeastAtMost(_u12427, _u12430, _u12431)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12427, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12427), _u12428), _u12430), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12427), _u12429), _u12431))) )).
% 12.32/12.57 cnf(matrix-5801, plain, ( ~class_Orderings_Olinorder(_u12432) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12432, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, _u12433), _u12434)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, _u12435), _u12436)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12432, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12432), _u12433), _u12435)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12432), _u12434), _u12436))) )).
% 12.32/12.57 cnf(matrix-5802, plain, ( ~class_Orderings_Oorder(_u12437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12437, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12437), _u12438)), c_SetInterval_Oord__class_OatLeastAtMost(_u12437, _u12438, _u12439)) = c_Orderings_Obot__class_Obot(tc_fun(_u12437, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5803, plain, ( ~class_Orderings_Oorder(_u12440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12440, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12440), _u12441)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12440, _u12441), _u12442)) = c_Orderings_Obot__class_Obot(tc_fun(_u12440, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5804, plain, ( ~class_Orderings_Oorder(_u12443) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12443, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12443, _u12444, _u12445)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12443, _u12445, _u12446)) = c_Orderings_Obot__class_Obot(tc_fun(_u12443, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5805, plain, ( ~class_Orderings_Oorder(_u12447) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12447, _u12448, _u12449)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12447, _u12449, _u12450)) = c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5806, plain, ( ~class_Orderings_Oorder(_u12451) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12451, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12451, _u12452, _u12453)), c_SetInterval_Oord__class_OatLeastAtMost(_u12451, _u12453, _u12454)) = c_Orderings_Obot__class_Obot(tc_fun(_u12451, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5807, plain, ( ~class_Orderings_Olinorder(_u12455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, _u12456, _u12457)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, _u12458, _u12459)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12455, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12455), _u12456), _u12458), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12455), _u12457), _u12459))) )).
% 12.32/12.57 cnf(matrix-5808, plain, ( ~class_Orderings_Oorder(_u12460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12460, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12460, _u12461, _u12462)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12460, _u12462), _u12463)) = c_Orderings_Obot__class_Obot(tc_fun(_u12460, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5809, plain, ( ~class_Orderings_Olinorder(_u12464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12464, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, _u12465, _u12466)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, _u12467, _u12468)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u12464, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12464), _u12465), _u12467), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12464), _u12466), _u12468))) )).
% 12.32/12.57 cnf(matrix-5810, plain, ( ~class_Orderings_Olinorder(_u12469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12469, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12469, _u12470, _u12471)), hAPP(c_SetInterval_Oord__class_OatMost(_u12469), _u12472)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12469, _u12470, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12469), _u12471), _u12472))) )).
% 12.32/12.57 cnf(matrix-5811, plain, ( ~class_Orderings_Olinorder(_u12473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12473, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12473), _u12474)), c_SetInterval_Oord__class_OatLeastAtMost(_u12473, _u12475, _u12476)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12473, _u12475, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12473), _u12474), _u12476))) )).
% 12.32/12.57 cnf(matrix-5812, plain, ( ~class_Orderings_Oorder(_u12477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12477, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12477, _u12478), _u12479)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12477), _u12479)) = c_Orderings_Obot__class_Obot(tc_fun(_u12477, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5813, plain, ( ~class_Orderings_Oorder(_u12480) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12480, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12480, _u12481, _u12482)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12480), _u12482)) = c_Orderings_Obot__class_Obot(tc_fun(_u12480, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5814, plain, ( ~class_Orderings_Olinorder(_u12483) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12483, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12483, _u12484, _u12485)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12483), _u12486)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12483, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12483), _u12484), _u12486), _u12485)) )).
% 12.32/12.57 cnf(matrix-5815, plain, ( ~class_Orderings_Olinorder(_u12487) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12487), _u12488)), c_SetInterval_Oord__class_OatLeastAtMost(_u12487, _u12489, _u12490)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12487, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12487), _u12488), _u12489), _u12490)) )).
% 12.32/12.57 cnf(matrix-5816, plain, ( ~class_Orderings_Oorder(_u12491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12491), _u12492)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12491, _u12492, _u12493)) = c_Orderings_Obot__class_Obot(tc_fun(_u12491, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5817, plain, ( ~class_Orderings_Oorder(_u12494) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12494, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12494, _u12495, _u12496)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12494, _u12496, _u12497)) = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5818, plain, ( ~class_Orderings_Oorder(_u12498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12498, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12498), _u12499)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12498, _u12499, _u12500)) = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5819, plain, ( ~class_Orderings_Oorder(_u12501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12501, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12501, _u12502, _u12503)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12501), _u12503)) = c_Orderings_Obot__class_Obot(tc_fun(_u12501, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5820, plain, ( ~class_Orderings_Oorder(_u12504) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12504, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12504, _u12505, _u12506)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12504), _u12506)) = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5821, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12508), _u12513)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12508), _u12514)) | ( hAPP(hAPP(_u12509, hAPP(_u12512, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12508, tc_HOL_Obool)), _u12513), _u12514))), hAPP(_u12512, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12508, tc_HOL_Obool)), _u12513), _u12514))) = hAPP(hAPP(_u12509, hAPP(_u12512, _u12513)), hAPP(_u12512, _u12514))) | ~c_Finite__Set_Ofolding__image__simple(_u12507, _u12508, _u12509, _u12510, _u12511, _u12512) )).
% 12.32/12.57 cnf(matrix-5822, plain, ( ~class_Lattices_Oboolean__algebra(_u12515) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12515), _u12516), _u12517) != c_Orderings_Obot__class_Obot(_u12515)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12515), _u12516), _u12517) != c_Orderings_Otop__class_Otop(_u12515)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12515), _u12516) = _u12517) )).
% 12.32/12.57 cnf(matrix-5823, plain, ( ~class_Groups_Ocomm__monoid__add(_u12518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), _u12520)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), _u12521)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12518), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12519, tc_HOL_Obool)), _u12520), _u12521))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12519, tc_HOL_Obool)), _u12520), _u12521))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12518), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), _u12520)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12519, _u12518), _u12522), _u12521))) )).
% 12.32/12.57 cnf(matrix-5824, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12524), _u12525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12524), _u12526)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12524, tc_HOL_Obool)), _u12525), _u12526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12524, tc_HOL_Obool)), _u12525), _u12526))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), _u12525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12524, _u12523), _u12527), _u12526))) )).
% 12.32/12.57 cnf(matrix-5825, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12528) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12529), _u12530)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12529), _u12531)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12528), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12528), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), _u12530)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12529, _u12528), _u12532), _u12531))) )).
% 12.32/12.57 cnf(matrix-5826, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12533), _u12534)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12533), _u12535)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12533), _u12534)), hAPP(c_Finite__Set_Ocard(_u12533), _u12535)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12533), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12533, tc_HOL_Obool)), _u12534), _u12535))), hAPP(c_Finite__Set_Ocard(_u12533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12533, tc_HOL_Obool)), _u12534), _u12535)))) )).
% 12.32/12.57 cnf(matrix-5827, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12538)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12536), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538))), hAPP(c_Finite__Set_Ocard(_u12536), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12536), _u12537)), hAPP(c_Finite__Set_Ocard(_u12536), _u12538))) )).
% 12.32/12.57 cnf(matrix-5828, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541))) | ( hAPP(c_Finite__Set_Ocard(_u12539), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12539), _u12540)), hAPP(c_Finite__Set_Ocard(_u12539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12539, tc_HOL_Obool)), _u12540), _u12541)))) )).
% 12.32/12.57 cnf(matrix-5829, plain, ( ~class_Groups_Ocomm__monoid__add(_u12542) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), _u12544)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), _u12545), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12543, tc_HOL_Obool)), _u12544), _u12546)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), hAPP(hAPP(c_COMBC(_u12543, _u12542, _u12542), hAPP(hAPP(c_COMBS(_u12543, _u12542, tc_fun(_u12542, _u12542)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12542, tc_fun(_u12542, _u12542)), _u12543), c_If(_u12542)), hAPP(hAPP(c_COMBC(_u12543, tc_fun(_u12543, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12543)), _u12546))), _u12545)), c_Groups_Ozero__class_Ozero(_u12542))), _u12544)) )).
% 12.32/12.57 cnf(matrix-5830, plain, ( ~c_Finite__Set_Ofolding(_u12547, _u12548, _u12549, _u12550) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12551)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12552)) | ( hAPP(c_Fun_Ocomp(_u12548, _u12548, _u12548, hAPP(_u12550, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12547, tc_HOL_Obool)), _u12551), _u12552))), hAPP(_u12550, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12547, tc_HOL_Obool)), _u12551), _u12552))) = hAPP(c_Fun_Ocomp(_u12548, _u12548, _u12548, hAPP(_u12550, _u12551)), hAPP(_u12550, _u12552))) )).
% 12.32/12.57 cnf(matrix-5831, plain, ( ~c_Equiv__Relations_Oequiv(_u12553, _u12554, _u12555) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12553, tc_HOL_Obool)), _u12556), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12553), _u12554), _u12555))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12553, tc_HOL_Obool)), _u12557), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12553), _u12554), _u12555))) | ( _u12556 = _u12557) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12553, tc_HOL_Obool)), _u12556), _u12557) = c_Orderings_Obot__class_Obot(tc_fun(_u12553, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5832, plain, ( ~class_Orderings_Oorder(_u12558) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12558, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12558), _u12559)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12558), _u12559)) = hAPP(hAPP(c_Set_Oinsert(_u12558), _u12559), c_Orderings_Obot__class_Obot(tc_fun(_u12558, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), _u12566)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), _u12567)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12561, tc_HOL_Obool)), _u12566), _u12567) != c_Orderings_Obot__class_Obot(tc_fun(_u12561, tc_HOL_Obool))) | ( hAPP(_u12565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12561, tc_HOL_Obool)), _u12566), _u12567)) = hAPP(hAPP(_u12562, hAPP(_u12565, _u12566)), hAPP(_u12565, _u12567))) | ~c_Finite__Set_Ofolding__image__simple(_u12560, _u12561, _u12562, _u12563, _u12564, _u12565) )).
% 12.32/12.57 cnf(matrix-5834, plain, ( ~c_Finite__Set_Ofolding__one(_u12568, _u12569, _u12570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12571)) | ( _u12571 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ( _u12572 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12568, tc_HOL_Obool)), _u12571), _u12572) != c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ( hAPP(_u12570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12568, tc_HOL_Obool)), _u12571), _u12572)) = hAPP(hAPP(_u12569, hAPP(_u12570, _u12571)), hAPP(_u12570, _u12572))) )).
% 12.32/12.57 cnf(matrix-5835, plain, ( ~c_Finite__Set_Ofolding__one(_u12573, _u12574, _u12575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12573), _u12576)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12573), _u12577)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577) = c_Orderings_Obot__class_Obot(tc_fun(_u12573, tc_HOL_Obool))) | ( hAPP(hAPP(_u12574, hAPP(_u12575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577))), hAPP(_u12575, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12573, tc_HOL_Obool)), _u12576), _u12577))) = hAPP(hAPP(_u12574, hAPP(_u12575, _u12576)), hAPP(_u12575, _u12577))) )).
% 12.32/12.57 cnf(matrix-5836, plain, ( ~c_Equiv__Relations_Ocongruent(_u12584, _u12586, _u12588, _u12590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12584, _u12584)), _u12578), _u12588)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12584, _u12584, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12584, tc_fun(_u12584, _u12586), tc_fun(_u12584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_HOL_Obool), tc_fun(tc_fun(_u12584, _u12586), tc_fun(_u12584, tc_HOL_Obool)), _u12584), c_COMBB(_u12586, tc_HOL_Obool, _u12584)), hAPP(hAPP(c_COMBB(_u12586, tc_fun(_u12586, tc_HOL_Obool), _u12584), c_fequal), _u12590))), _u12590)), _u12578)) )).
% 12.32/12.57 cnf(matrix-5837, plain, ( c_Equiv__Relations_Ocongruent(_u12585, _u12587, _u12589, _u12591) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12585, _u12585)), skolem255(_u12591, _u12589, _u12587, _u12585)), _u12589)) )).
% 12.32/12.57 cnf(matrix-5838, plain, ( c_Equiv__Relations_Ocongruent(_u12585, _u12587, _u12589, _u12591) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12585, _u12585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12585, tc_fun(_u12585, _u12587), tc_fun(_u12585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_HOL_Obool), tc_fun(tc_fun(_u12585, _u12587), tc_fun(_u12585, tc_HOL_Obool)), _u12585), c_COMBB(_u12587, tc_HOL_Obool, _u12585)), hAPP(hAPP(c_COMBB(_u12587, tc_fun(_u12587, tc_HOL_Obool), _u12585), c_fequal), _u12591))), _u12591)), skolem255(_u12591, _u12589, _u12587, _u12585))) )).
% 12.32/12.57 cnf(matrix-5839, plain, ( ~class_Groups_Ocomm__monoid__add(_u12592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12593), _u12594)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12593), _u12595)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12593, tc_HOL_Obool)), _u12594), _u12595) != c_Orderings_Obot__class_Obot(tc_fun(_u12593, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12593, tc_HOL_Obool)), _u12594), _u12595)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12592), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), _u12594)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12593, _u12592), _u12596), _u12595))) )).
% 12.32/12.57 cnf(matrix-5840, plain, ( ~class_Groups_Oab__group__add(_u12597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12598), _u12599)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12598), _u12600)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12598, tc_HOL_Obool)), _u12599), _u12600)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12597), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), _u12599)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), _u12600))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12598, _u12597), _u12601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12598, tc_HOL_Obool)), _u12599), _u12600)))) )).
% 12.32/12.57 cnf(matrix-5841, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12605)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12603, tc_HOL_Obool)), _u12604), _u12605) != c_Orderings_Obot__class_Obot(tc_fun(_u12603, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12603, tc_HOL_Obool)), _u12604), _u12605)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12602), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), _u12604)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12603, _u12602), _u12606), _u12605))) )).
% 12.32/12.57 cnf(matrix-5842, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12608), _u12609)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12608), _u12610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12608, tc_HOL_Obool)), _u12609), _u12610) != c_Orderings_Obot__class_Obot(tc_fun(_u12608, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12608, tc_HOL_Obool)), _u12609), _u12610)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), _u12609)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12608, _u12607), _u12611), _u12610))) )).
% 12.32/12.57 cnf(matrix-5843, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12613)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12614)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12612, tc_HOL_Obool)), _u12613), _u12614) != c_Orderings_Obot__class_Obot(tc_fun(_u12612, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u12612), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12612, tc_HOL_Obool)), _u12613), _u12614)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12612), _u12613)), hAPP(c_Finite__Set_Ocard(_u12612), _u12614))) )).
% 12.32/12.57 cnf(matrix-5844, plain, ( ~class_Lattices_Olattice(_u12615) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12615), _u12616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12615), _u12617)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617) = c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12615), c_Big__Operators_Olattice__class_OSup__fin(_u12615, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617))), c_Big__Operators_Olattice__class_OSup__fin(_u12615, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), _u12616), _u12617))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12615), c_Big__Operators_Olattice__class_OSup__fin(_u12615, _u12616)), c_Big__Operators_Olattice__class_OSup__fin(_u12615, _u12617))) )).
% 12.32/12.57 cnf(matrix-5845, plain, ( ~class_Lattices_Olattice(_u12618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), _u12619)) | ( _u12619 = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), _u12620)) | ( _u12620 = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12618, tc_HOL_Obool)), _u12619), _u12620) != c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12618, tc_HOL_Obool)), _u12619), _u12620)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12618), c_Big__Operators_Olattice__class_OSup__fin(_u12618, _u12619)), c_Big__Operators_Olattice__class_OSup__fin(_u12618, _u12620))) )).
% 12.32/12.57 cnf(matrix-5846, plain, ( ~class_Orderings_Olinorder(_u12621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12621), _u12622)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12621), _u12623)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623) = c_Orderings_Obot__class_Obot(tc_fun(_u12621, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12621), c_Big__Operators_Olinorder__class_OMin(_u12621, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623))), c_Big__Operators_Olinorder__class_OMin(_u12621, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), _u12622), _u12623))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12621), c_Big__Operators_Olinorder__class_OMin(_u12621, _u12622)), c_Big__Operators_Olinorder__class_OMin(_u12621, _u12623))) )).
% 12.32/12.57 cnf(matrix-5847, plain, ( ~class_Orderings_Olinorder(_u12624) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), _u12625)) | ( _u12625 = c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), _u12626)) | ( _u12626 = c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12624, tc_HOL_Obool)), _u12625), _u12626) != c_Orderings_Obot__class_Obot(tc_fun(_u12624, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u12624, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12624, tc_HOL_Obool)), _u12625), _u12626)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12624), c_Big__Operators_Olinorder__class_OMin(_u12624, _u12625)), c_Big__Operators_Olinorder__class_OMin(_u12624, _u12626))) )).
% 12.32/12.57 cnf(matrix-5848, plain, ( ~class_Orderings_Olinorder(_u12627) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12628)) | ( _u12628 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12629)) | ( _u12629 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12627, tc_HOL_Obool)), _u12628), _u12629) != c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u12627, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12627, tc_HOL_Obool)), _u12628), _u12629)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), c_Big__Operators_Olinorder__class_OMax(_u12627, _u12628)), c_Big__Operators_Olinorder__class_OMax(_u12627, _u12629))) )).
% 12.32/12.57 cnf(matrix-5849, plain, ( ~class_Orderings_Olinorder(_u12630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12630), _u12631)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12630), _u12632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632) = c_Orderings_Obot__class_Obot(tc_fun(_u12630, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12630), c_Big__Operators_Olinorder__class_OMax(_u12630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632))), c_Big__Operators_Olinorder__class_OMax(_u12630, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12630, tc_HOL_Obool)), _u12631), _u12632))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12630), c_Big__Operators_Olinorder__class_OMax(_u12630, _u12631)), c_Big__Operators_Olinorder__class_OMax(_u12630, _u12632))) )).
% 12.32/12.57 cnf(matrix-5850, plain, ( ~class_Orderings_Olinorder(_u12633) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12633), _u12634)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12633), _u12635)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635) = c_Orderings_Obot__class_Obot(tc_fun(_u12633, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12633), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635))), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12633, tc_HOL_Obool)), _u12634), _u12635))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12633), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), _u12634)), c_Big__Operators_Olattice_OInf__fin(_u12633, c_Orderings_Oord__class_Omin(_u12633), _u12635))) )).
% 12.32/12.57 cnf(matrix-5851, plain, ( ~class_Orderings_Olinorder(_u12636) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12636), _u12637)) | ( _u12637 = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12636), _u12638)) | ( _u12638 = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12636, tc_HOL_Obool)), _u12637), _u12638) != c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12636, tc_HOL_Obool)), _u12637), _u12638)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12636), c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), _u12637)), c_Big__Operators_Olattice_OInf__fin(_u12636, c_Orderings_Oord__class_Omin(_u12636), _u12638))) )).
% 12.32/12.57 cnf(matrix-5852, plain, ( ~class_Orderings_Olinorder(_u12639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12639), _u12640)) | ( _u12640 = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12639), _u12641)) | ( _u12641 = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12639, tc_HOL_Obool)), _u12640), _u12641) != c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12639, tc_HOL_Obool)), _u12640), _u12641)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12639), c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), _u12640)), c_Big__Operators_Olattice_OSup__fin(_u12639, c_Orderings_Oord__class_Omax(_u12639), _u12641))) )).
% 12.32/12.57 cnf(matrix-5853, plain, ( ~class_Orderings_Olinorder(_u12642) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), _u12643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), _u12644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644) = c_Orderings_Obot__class_Obot(tc_fun(_u12642, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12642), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644))), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12644))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12642), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), _u12643)), c_Big__Operators_Olattice_OSup__fin(_u12642, c_Orderings_Oord__class_Omax(_u12642), _u12644))) )).
% 12.32/12.57 cnf(matrix-5854, plain, ( ~c_Equiv__Relations_Ocongruent2(_u12645, _u12646, _u12647, _u12648, _u12649, _u12650) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12645, _u12645)), hAPP(hAPP(c_Product__Type_OPair(_u12645, _u12645), _u12651), _u12652)), _u12648)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12646, _u12646)), hAPP(hAPP(c_Product__Type_OPair(_u12646, _u12646), _u12653), _u12654)), _u12649)) | ( hAPP(hAPP(_u12650, _u12651), _u12653) = hAPP(hAPP(_u12650, _u12652), _u12654)) )).
% 12.32/12.57 cnf(matrix-5855, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12656)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12657)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12655, tc_HOL_Obool)), _u12656), _u12657)) = 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(_u12655, tc_Nat_Onat), _u12658), _u12656)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), _u12657))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12655, tc_Nat_Onat), _u12658), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12655, tc_HOL_Obool)), _u12656), _u12657)))) )).
% 12.32/12.57 cnf(matrix-5856, plain, ( ~c_Finite__Set_Ofolding(_u12659, _u12660, _u12661, _u12662) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12663)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12664)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12659, tc_HOL_Obool)), _u12663), _u12664) != c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | ( hAPP(_u12662, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12659, tc_HOL_Obool)), _u12663), _u12664)) = hAPP(c_Fun_Ocomp(_u12660, _u12660, _u12660, hAPP(_u12662, _u12663)), hAPP(_u12662, _u12664))) )).
% 12.32/12.57 cnf(matrix-5857, plain, ( ~c_Equiv__Relations_Ocongruent(_u12665, _u12666, _u12667, _u12668) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12665, _u12665)), hAPP(hAPP(c_Product__Type_OPair(_u12665, _u12665), _u12669), _u12670)), _u12667)) | ( hAPP(_u12668, _u12669) = hAPP(_u12668, _u12670)) )).
% 12.32/12.57 cnf(matrix-5858, plain, ( ~c_Equiv__Relations_Oequiv(_u12671, _u12672, _u12673) | ~c_Equiv__Relations_Oequiv(_u12674, _u12675, _u12676) | ~c_Equiv__Relations_Ocongruent2(_u12671, _u12674, tc_fun(_u12677, tc_HOL_Obool), _u12673, _u12676, _u12678) | ~hBOOL(hAPP(hAPP(c_member(_u12674), _u12679), _u12675)) | c_Equiv__Relations_Ocongruent(_u12671, tc_fun(_u12677, tc_HOL_Obool), _u12673, hAPP(hAPP(c_COMBB(tc_fun(_u12674, tc_fun(_u12677, tc_HOL_Obool)), tc_fun(_u12677, tc_HOL_Obool), _u12671), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12674, tc_fun(_u12677, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12674, _u12674, _u12676), hAPP(hAPP(c_Set_Oinsert(_u12674), _u12679), c_Orderings_Obot__class_Obot(tc_fun(_u12674, tc_HOL_Obool)))))), _u12678)) )).
% 12.32/12.57 cnf(matrix-5859, plain, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), _u12683)) )).
% 12.32/12.57 cnf(matrix-5860, plain, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), _u12683)) )).
% 12.32/12.57 cnf(matrix-5861, plain, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | ( hAPP(_u12686, skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)) = hAPP(_u12686, skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682))) )).
% 12.32/12.57 cnf(matrix-5862, plain, ( ~c_Equiv__Relations_Oequiv(_u12682, _u12683, _u12684) | ~c_Equiv__Relations_Ocongruent(_u12682, tc_fun(_u12685, tc_HOL_Obool), _u12684, _u12686) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12687), _u12686) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12682, tc_fun(_u12685, tc_HOL_Obool)), _u12688), _u12686)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12687), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12682, tc_HOL_Obool)), _u12688), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12682), _u12683), _u12684))) | ( _u12687 = _u12688) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12682, _u12682)), hAPP(hAPP(c_Product__Type_OPair(_u12682, _u12682), skolem256(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682)), skolem257(_u12688, _u12687, _u12686, _u12685, _u12684, _u12683, _u12682))), _u12684)) )).
% 12.32/12.57 cnf(matrix-5863, plain, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | hBOOL(hAPP(hAPP(c_member(_u12691), skolem258(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), _u12692)) )).
% 12.32/12.57 cnf(matrix-5864, plain, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | hBOOL(hAPP(hAPP(c_member(_u12694), skolem259(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), _u12695)) )).
% 12.32/12.57 cnf(matrix-5865, plain, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~c_Equiv__Relations_Oequiv(_u12694, _u12695, _u12696) | ~c_Equiv__Relations_Ocongruent2(_u12691, _u12694, tc_fun(_u12697, tc_HOL_Obool), _u12693, _u12696, _u12698) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12694, tc_HOL_Obool)), _u12700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12694), _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12691, tc_fun(_u12697, tc_HOL_Obool)), _u12699), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_fun(_u12697, tc_HOL_Obool)), tc_fun(_u12697, tc_HOL_Obool), _u12691), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12694, tc_fun(_u12697, tc_HOL_Obool)), _u12700)), _u12698))), _u12701)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(_u12698, skolem258(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691)), skolem259(_u12701, _u12700, _u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692, _u12691))), _u12701)) )).
% 12.32/12.57 cnf(matrix-5866, plain, ( ~c_Equiv__Relations_Oequiv(_u12703, _u12704, _u12705) | ~c_Equiv__Relations_Ocongruent(_u12703, tc_fun(_u12706, tc_HOL_Obool), _u12705, _u12707) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12703, tc_HOL_Obool)), _u12708), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12703), _u12704), _u12705))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12703, tc_fun(_u12706, tc_HOL_Obool)), _u12708), _u12707)), _u12709)) | hBOOL(hAPP(hAPP(c_member(_u12703), skolem260(_u12709, _u12708, _u12707, _u12706, _u12705, _u12704, _u12703)), _u12704)) )).
% 12.32/12.57 cnf(matrix-5867, plain, ( ~c_Equiv__Relations_Oequiv(_u12703, _u12704, _u12705) | ~c_Equiv__Relations_Ocongruent(_u12703, tc_fun(_u12706, tc_HOL_Obool), _u12705, _u12707) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12703, tc_HOL_Obool)), _u12708), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12703), _u12704), _u12705))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12703, tc_fun(_u12706, tc_HOL_Obool)), _u12708), _u12707)), _u12709)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12706, tc_HOL_Obool)), hAPP(_u12707, skolem260(_u12709, _u12708, _u12707, _u12706, _u12705, _u12704, _u12703))), _u12709)) )).
% 12.32/12.57 cnf(matrix-5868, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5869, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12716, tc_fun(_u12718, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12716, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), _u12716), c_COMBC(_u12718, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_prod(_u12716, _u12718)), tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), _u12716), hAPP(c_COMBB(tc_prod(_u12716, _u12718), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool), _u12718), c_member(tc_prod(_u12716, _u12718)))), c_Product__Type_OPair(_u12716, _u12718)))), _u12720)), hAPP(hAPP(c_COMBC(_u12716, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_fun(_u12718, tc_HOL_Obool)), _u12716), c_COMBC(_u12718, tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12718, tc_prod(_u12716, _u12718)), tc_fun(_u12718, tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool)), _u12716), hAPP(c_COMBB(tc_prod(_u12716, _u12718), tc_fun(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool), tc_HOL_Obool), _u12718), c_member(tc_prod(_u12716, _u12718)))), c_Product__Type_OPair(_u12716, _u12718)))), _u12722)), _u12724), _u12726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12716, _u12718)), hAPP(hAPP(c_Product__Type_OPair(_u12716, _u12718), _u12724), _u12726)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12716, _u12718), tc_HOL_Obool)), _u12720), _u12722))) )).
% 12.32/12.57 cnf(matrix-5870, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12717, _u12719)), hAPP(hAPP(c_Product__Type_OPair(_u12717, _u12719), _u12725), _u12727)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool)), _u12721), _u12723))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12717, tc_fun(_u12719, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12717, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), _u12717), c_COMBC(_u12719, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_prod(_u12717, _u12719)), tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), _u12717), hAPP(c_COMBB(tc_prod(_u12717, _u12719), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool), _u12719), c_member(tc_prod(_u12717, _u12719)))), c_Product__Type_OPair(_u12717, _u12719)))), _u12721)), hAPP(hAPP(c_COMBC(_u12717, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_fun(_u12719, tc_HOL_Obool)), _u12717), c_COMBC(_u12719, tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12719, tc_prod(_u12717, _u12719)), tc_fun(_u12719, tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool)), _u12717), hAPP(c_COMBB(tc_prod(_u12717, _u12719), tc_fun(tc_fun(tc_prod(_u12717, _u12719), tc_HOL_Obool), tc_HOL_Obool), _u12719), c_member(tc_prod(_u12717, _u12719)))), c_Product__Type_OPair(_u12717, _u12719)))), _u12723)), _u12725), _u12727)) )).
% 12.32/12.57 cnf(matrix-5871, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12730)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12731)) | ( hAPP(c_Finite__Set_Ocard(_u12729), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12729), _u12730)), hAPP(c_Finite__Set_Ocard(_u12729), _u12731))) | hBOOL(hAPP(hAPP(c_member(_u12729), skolem261(_u12731, _u12730, _u12729)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731))) )).
% 12.32/12.57 cnf(matrix-5872, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12730)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12729), _u12731)) | ( hAPP(c_Finite__Set_Ocard(_u12729), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12729, tc_HOL_Obool)), _u12730), _u12731)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12729), _u12730)), hAPP(c_Finite__Set_Ocard(_u12729), _u12731))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-5873, plain, ( ~class_Fields_Ofield(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12736)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12736))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)))) | hBOOL(hAPP(hAPP(c_member(_u12734), skolem262(_u12737, _u12736, _u12735, _u12734, _u12733)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736))) )).
% 12.32/12.57 cnf(matrix-5874, plain, ( ~class_Fields_Ofield(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12736)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12733), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), _u12736))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12734, _u12733), _u12737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12734, tc_HOL_Obool)), _u12735), _u12736)))) | ( hAPP(_u12737, skolem262(_u12737, _u12736, _u12735, _u12734, _u12733)) = c_Groups_Ozero__class_Ozero(_u12733)) )).
% 12.32/12.57 cnf(matrix-5875, plain, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.32/12.57 cnf(matrix-5876, plain, ( ~hBOOL(hAPP(hAPP(_u12738, _u12739), _u12740)) | ~hBOOL(hAPP(hAPP(_u12741, _u12739), _u12740)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12742, tc_fun(_u12743, tc_HOL_Obool))), _u12738), _u12741), _u12739), _u12740)) )).
% 12.32/12.57 cnf(matrix-5877, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12744, tc_fun(_u12745, tc_HOL_Obool))), _u12746), _u12747), _u12748), _u12749)) | hBOOL(hAPP(hAPP(_u12746, _u12748), _u12749)) )).
% 12.32/12.57 cnf(matrix-5878, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12744, tc_fun(_u12745, tc_HOL_Obool))), _u12746), _u12747), _u12748), _u12749)) | hBOOL(hAPP(hAPP(_u12747, _u12748), _u12749)) )).
% 12.32/12.57 cnf(matrix-5879, plain, ( hBOOL(hAPP(hAPP(_u12752, _u12754), _u12755)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12750, tc_fun(_u12751, tc_HOL_Obool))), _u12752), _u12753), _u12754), _u12755)) )).
% 12.32/12.57 cnf(matrix-5880, plain, ( hBOOL(hAPP(hAPP(_u12759, _u12760), _u12761)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12756, tc_fun(_u12757, tc_HOL_Obool))), _u12758), _u12759), _u12760), _u12761)) )).
% 12.32/12.57 cnf(matrix-5881, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12762)), c_Int_OInteg)) )).
% 12.32/12.57 cnf(matrix-5882, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12766)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12764), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12766)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12767))) | hBOOL(hAPP(hAPP(c_member(_u12765), skolem263(_u12768, _u12767, _u12766, _u12765, _u12764)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767))) )).
% 12.32/12.57 cnf(matrix-5883, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12766)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12765), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12766), _u12767)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12764), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12766)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12765, _u12764), _u12768), _u12767))) | ( hAPP(_u12768, skolem263(_u12768, _u12767, _u12766, _u12765, _u12764)) != c_Groups_Oone__class_Oone(_u12764)) )).
% 12.32/12.57 cnf(matrix-5884, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12772)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12770), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12773))) | hBOOL(hAPP(hAPP(c_member(_u12771), skolem264(_u12774, _u12773, _u12772, _u12771, _u12770)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773))) )).
% 12.32/12.57 cnf(matrix-5885, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12772)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), _u12773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool)), _u12772), _u12773)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12770), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12771, _u12770), _u12774), _u12773))) | ( hAPP(_u12774, skolem264(_u12774, _u12773, _u12772, _u12771, _u12770)) != c_Groups_Oone__class_Oone(_u12770)) )).
% 12.32/12.57 cnf(matrix-5886, plain, ( ~class_Groups_Ocomm__monoid__add(_u12776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12776), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12778)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12779))) | hBOOL(hAPP(hAPP(c_member(_u12777), skolem265(_u12780, _u12779, _u12778, _u12777, _u12776)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779))) )).
% 12.32/12.57 cnf(matrix-5887, plain, ( ~class_Groups_Ocomm__monoid__add(_u12776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12778)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12777), _u12779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12777, tc_HOL_Obool)), _u12778), _u12779)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12776), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12778)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12777, _u12776), _u12780), _u12779))) | ( hAPP(_u12780, skolem265(_u12780, _u12779, _u12778, _u12777, _u12776)) != c_Groups_Ozero__class_Ozero(_u12776)) )).
% 12.32/12.57 cnf(matrix-5888, plain, ( ~class_Groups_Ocomm__monoid__add(_u12782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12785)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12784)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12785))) | hBOOL(hAPP(hAPP(c_member(_u12783), skolem266(_u12786, _u12785, _u12784, _u12783, _u12782)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785))) )).
% 12.32/12.57 cnf(matrix-5889, plain, ( ~class_Groups_Ocomm__monoid__add(_u12782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12785)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12784), _u12785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12784)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12783, _u12782), _u12786), _u12785))) | ( hAPP(_u12786, skolem266(_u12786, _u12785, _u12784, _u12783, _u12782)) != c_Groups_Ozero__class_Ozero(_u12782)) )).
% 12.32/12.57 cnf(matrix-5890, plain, ( ~c_Relation_Orefl__on(_u12794, _u12796, _u12798) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12794, _u12794)), _u12787), _u12798)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12794, _u12794, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_fun(_u12794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12794, tc_HOL_Obool), tc_fun(_u12794, tc_HOL_Obool)), _u12794), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12794)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12794), c_fconj), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12794)), _u12796)))), hAPP(hAPP(c_COMBC(_u12794, tc_fun(_u12794, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12794)), _u12796))), _u12787)) )).
% 12.32/12.57 cnf(matrix-5891, plain, ( ~c_Relation_Orefl__on(_u12794, _u12796, _u12798) | ~hBOOL(hAPP(hAPP(c_member(_u12794), _u12788), _u12796)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12794, _u12794)), hAPP(hAPP(c_Product__Type_OPair(_u12794, _u12794), _u12788), _u12788)), _u12798)) )).
% 12.32/12.57 cnf(matrix-5892, plain, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), skolem267(_u12799, _u12797, _u12795)), _u12799)) | hBOOL(hAPP(hAPP(c_member(_u12795), skolem268(_u12799, _u12797, _u12795)), _u12797)) )).
% 12.32/12.57 cnf(matrix-5893, plain, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), skolem267(_u12799, _u12797, _u12795)), _u12799)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12795, _u12795), skolem268(_u12799, _u12797, _u12795)), skolem268(_u12799, _u12797, _u12795))), _u12799)) )).
% 12.32/12.57 cnf(matrix-5894, plain, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797)))), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797))), skolem267(_u12799, _u12797, _u12795))) | hBOOL(hAPP(hAPP(c_member(_u12795), skolem268(_u12799, _u12797, _u12795)), _u12797)) )).
% 12.32/12.57 cnf(matrix-5895, plain, ( c_Relation_Orefl__on(_u12795, _u12797, _u12799) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12795, tc_HOL_Obool), tc_fun(_u12795, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797)))), hAPP(hAPP(c_COMBC(_u12795, tc_fun(_u12795, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12795)), _u12797))), skolem267(_u12799, _u12797, _u12795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12795, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12795, _u12795), skolem268(_u12799, _u12797, _u12795)), skolem268(_u12799, _u12797, _u12795))), _u12799)) )).
% 12.32/12.57 cnf(matrix-5896, plain, ( ~class_Lattices_Olattice(_u12800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12800), _u12801)) | ~hBOOL(hAPP(hAPP(c_member(_u12800), _u12802), _u12801)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12800, _u12801) = _u12802) )).
% 12.32/12.57 cnf(matrix-5897, plain, ( ~class_Lattices_Olattice(_u12800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12800), _u12801)) | ~hBOOL(hAPP(hAPP(c_member(_u12800), _u12802), _u12801)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12800, _u12801) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12800), _u12802), c_Big__Operators_Olattice__class_OInf__fin(_u12800, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12800, tc_HOL_Obool)), _u12801), hAPP(hAPP(c_Set_Oinsert(_u12800), _u12802), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5898, plain, ( c_Relation_Orefl__on(_u12803, _u12804, c_Relation_OId__on(_u12803, _u12804)) )).
% 12.32/12.57 cnf(matrix-5899, plain, ( ~class_Lattices_Olattice(_u12805) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12805, hAPP(hAPP(c_Set_Oinsert(_u12805), _u12806), c_Orderings_Obot__class_Obot(tc_fun(_u12805, tc_HOL_Obool)))) = _u12806) )).
% 12.32/12.57 cnf(matrix-5900, plain, ( c_Relation_Orefl__on(_u12807, c_Orderings_Obot__class_Obot(tc_fun(_u12807, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12807, _u12807), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5901, plain, ( ~c_Relation_Orefl__on(_u12808, _u12809, _u12810) | ~c_Relation_Orefl__on(_u12808, _u12811, _u12812) | c_Relation_Orefl__on(_u12808, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12808, tc_HOL_Obool)), _u12809), _u12811), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12808, _u12808), tc_HOL_Obool)), _u12810), _u12812)) )).
% 12.32/12.57 cnf(matrix-5902, plain, ( ~c_Relation_Orefl__on(_u12813, _u12814, _u12815) | ~c_Relation_Orefl__on(_u12813, _u12816, _u12817) | c_Relation_Orefl__on(_u12813, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12813, tc_HOL_Obool)), _u12814), _u12816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12813, _u12813), tc_HOL_Obool)), _u12815), _u12817)) )).
% 12.32/12.57 cnf(matrix-5903, plain, ( ~class_Lattices_Olattice(_u12818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12818), _u12819)) | ~hBOOL(hAPP(hAPP(c_member(_u12818), _u12820), _u12819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12818), _u12820), c_Big__Operators_Olattice__class_OInf__fin(_u12818, _u12819)) = _u12820) )).
% 12.32/12.57 cnf(matrix-5904, plain, ( ~class_Lattices_Olattice(_u12821) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12821), _u12822)) | ~hBOOL(hAPP(hAPP(c_member(_u12821), _u12823), _u12822)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12821), _u12823), c_Big__Operators_Olattice__class_OInf__fin(_u12821, _u12822)) = c_Big__Operators_Olattice__class_OInf__fin(_u12821, _u12822)) )).
% 12.32/12.57 cnf(matrix-5905, plain, ( ~c_Relation_Orefl__on(_u12824, _u12825, _u12826) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12824, _u12824)), hAPP(hAPP(c_Product__Type_OPair(_u12824, _u12824), _u12827), _u12828)), _u12826)) | hBOOL(hAPP(hAPP(c_member(_u12824), _u12828), _u12825)) )).
% 12.32/12.57 cnf(matrix-5906, plain, ( ~c_Relation_Orefl__on(_u12829, _u12830, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12829, _u12829)), hAPP(hAPP(c_Product__Type_OPair(_u12829, _u12829), _u12832), _u12833)), _u12831)) | hBOOL(hAPP(hAPP(c_member(_u12829), _u12832), _u12830)) )).
% 12.32/12.57 cnf(matrix-5907, plain, ( ~c_Relation_Orefl__on(_u12834, _u12835, _u12836) | ~hBOOL(hAPP(hAPP(c_member(_u12834), _u12837), _u12835)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12834, _u12834)), hAPP(hAPP(c_Product__Type_OPair(_u12834, _u12834), _u12837), _u12837)), _u12836)) )).
% 12.32/12.57 cnf(matrix-5908, plain, ( ~class_Lattices_Olattice(_u12838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12838), _u12839)) | ( _u12839 = c_Orderings_Obot__class_Obot(tc_fun(_u12838, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12838, hAPP(hAPP(c_Set_Oinsert(_u12838), _u12840), _u12839)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12838), _u12840), c_Big__Operators_Olattice__class_OInf__fin(_u12838, _u12839))) )).
% 12.32/12.57 cnf(matrix-5909, plain, ( ~class_Lattices_Olattice(_u12841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12841), _u12842)) | ( _u12843 = c_Orderings_Obot__class_Obot(tc_fun(_u12841, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12841, tc_HOL_Obool)), _u12843), _u12842)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12841), c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12843)), c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12842)) = c_Big__Operators_Olattice__class_OInf__fin(_u12841, _u12842)) )).
% 12.32/12.57 cnf(matrix-5910, plain, ( ~class_Lattices_Olattice(_u12844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12844), _u12845)) | ( _u12845 = c_Orderings_Obot__class_Obot(tc_fun(_u12844, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12844), _u12846)) | ( _u12846 = c_Orderings_Obot__class_Obot(tc_fun(_u12844, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12844, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12844, tc_HOL_Obool)), _u12845), _u12846)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12844), c_Big__Operators_Olattice__class_OInf__fin(_u12844, _u12845)), c_Big__Operators_Olattice__class_OInf__fin(_u12844, _u12846))) )).
% 12.32/12.57 cnf(matrix-5911, plain, ( ~class_Lattices_Olattice(_u12847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12847), _u12848)) | ( _u12848 = c_Orderings_Obot__class_Obot(tc_fun(_u12847, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12847), c_Big__Operators_Olattice__class_OInf__fin(_u12847, _u12848)), c_Big__Operators_Olattice__class_OSup__fin(_u12847, _u12848))) )).
% 12.32/12.57 cnf(matrix-5912, plain, ( ~class_Lattices_Olattice(_u12849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12849), _u12850)) | hBOOL(hAPP(hAPP(c_member(_u12849), _u12851), _u12850)) | ( _u12850 = c_Orderings_Obot__class_Obot(tc_fun(_u12849, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12849, hAPP(hAPP(c_Set_Oinsert(_u12849), _u12851), _u12850)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12849), _u12851), c_Big__Operators_Olattice__class_OInf__fin(_u12849, _u12850))) )).
% 12.32/12.57 cnf(matrix-5913, plain, ( ~class_Lattices_Olattice(_u12852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12852), _u12853)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), _u12853)) = _u12854) )).
% 12.32/12.57 cnf(matrix-5914, plain, ( ~class_Lattices_Olattice(_u12852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12852), _u12853)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), _u12853)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12852), _u12854), c_Big__Operators_Olattice__class_OInf__fin(_u12852, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12852, tc_HOL_Obool)), _u12853), hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12852, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-5915, plain, ( ~class_Lattices_Olattice(_u12855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12855), _u12856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12855), _u12857)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857) = c_Orderings_Obot__class_Obot(tc_fun(_u12855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12855), c_Big__Operators_Olattice__class_OInf__fin(_u12855, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857))), c_Big__Operators_Olattice__class_OInf__fin(_u12855, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12855, tc_HOL_Obool)), _u12856), _u12857))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12855), c_Big__Operators_Olattice__class_OInf__fin(_u12855, _u12856)), c_Big__Operators_Olattice__class_OInf__fin(_u12855, _u12857))) )).
% 12.32/12.57 cnf(matrix-5916, plain, ( ~class_Lattices_Olattice(_u12858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ( _u12859 = c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( _u12860 = c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860) != c_Orderings_Obot__class_Obot(tc_fun(_u12858, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12858, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12858), c_Big__Operators_Olattice__class_OInf__fin(_u12858, _u12859)), c_Big__Operators_Olattice__class_OInf__fin(_u12858, _u12860))) )).
% 12.32/12.57 cnf(matrix-5917, plain, ( ~class_Lattices_Olattice(_u12863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12863), _u12864)) | ( _u12864 = c_Orderings_Obot__class_Obot(tc_fun(_u12863, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12863), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12863), skolem269(_u12864, _u12863)), skolem270(_u12864, _u12863))), hAPP(hAPP(c_Set_Oinsert(_u12863), skolem269(_u12864, _u12863)), hAPP(hAPP(c_Set_Oinsert(_u12863), skolem270(_u12864, _u12863)), c_Orderings_Obot__class_Obot(tc_fun(_u12863, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12863), c_Big__Operators_Olattice__class_OInf__fin(_u12863, _u12864)), _u12864)) )).
% 12.32/12.57 cnf(matrix-5918, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12866), _u12867)) | ~c_Equiv__Relations_Oequiv(_u12866, _u12867, _u12868) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), _u12867))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12866, tc_HOL_Obool)), skolem271(_u12869, _u12868, _u12867, _u12866)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12866), _u12867), _u12868))) )).
% 12.32/12.57 cnf(matrix-5919, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12866), _u12867)) | ~c_Equiv__Relations_Oequiv(_u12866, _u12867, _u12868) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), _u12867))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12869), hAPP(c_Finite__Set_Ocard(_u12866), skolem271(_u12869, _u12868, _u12867, _u12866)))) )).
% 12.32/12.57 cnf(matrix-5920, plain, ( ~c_Finite__Set_Ofolding__idem(_u12870, _u12871, _u12872, _u12873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12870), _u12874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12870), _u12875)) | ( hAPP(_u12873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12870, tc_HOL_Obool)), _u12874), _u12875)) = hAPP(c_Fun_Ocomp(_u12871, _u12871, _u12871, hAPP(_u12873, _u12874)), hAPP(_u12873, _u12875))) )).
% 12.32/12.57 cnf(matrix-5921, plain, ( ( hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), _u12882)) = hAPP(c_Fun_Ocomp(_u12877, _u12877, _u12880, hAPP(_u12878, _u12881)), _u12882)) | ~c_Finite__Set_Ofolding__idem(_u12876, _u12877, _u12878, _u12879) )).
% 12.32/12.57 cnf(matrix-5922, plain, ( ( hAPP(c_Fun_Ocomp(_u12884, _u12884, _u12884, hAPP(_u12885, _u12887)), hAPP(_u12885, _u12887)) = hAPP(_u12885, _u12887)) | ~c_Finite__Set_Ofolding__idem(_u12883, _u12884, _u12885, _u12886) )).
% 12.32/12.57 cnf(matrix-5923, plain, ( ~c_Finite__Set_Ofolding__idem(_u12888, _u12889, _u12890, _u12891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12888), _u12892)) | ~hBOOL(hAPP(hAPP(c_member(_u12888), _u12893), _u12892)) | ( hAPP(c_Fun_Ocomp(_u12889, _u12889, _u12889, hAPP(_u12891, _u12892)), hAPP(_u12890, _u12893)) = hAPP(_u12891, _u12892)) )).
% 12.32/12.57 cnf(matrix-5924, plain, ( ~c_Finite__Set_Ofolding__idem(_u12894, _u12895, _u12896, _u12897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12894), _u12898)) | ( hAPP(_u12897, hAPP(hAPP(c_Set_Oinsert(_u12894), _u12899), _u12898)) = hAPP(c_Fun_Ocomp(_u12895, _u12895, _u12895, hAPP(_u12897, _u12898)), hAPP(_u12896, _u12899))) )).
% 12.32/12.57 cnf(matrix-5925, plain, ( ~c_Finite__Set_Ofolding__idem(_u12900, _u12901, _u12902, _u12903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12900), _u12904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12900, tc_HOL_Obool)), _u12905), _u12904)) | ( hAPP(c_Fun_Ocomp(_u12901, _u12901, _u12901, hAPP(_u12903, _u12904)), hAPP(_u12903, _u12905)) = hAPP(_u12903, _u12904)) )).
% 12.32/12.57 cnf(matrix-5926, plain, ( ~c_Equiv__Relations_Oequiv(_u12908, c_Orderings_Otop__class_Otop(tc_fun(_u12908, tc_HOL_Obool)), _u12910) | c_Equiv__Relations_Oequivp(_u12908, hAPP(hAPP(c_COMBC(_u12908, tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_fun(_u12908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12908, tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_fun(_u12908, tc_HOL_Obool)), _u12908), c_COMBC(_u12908, tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12908, tc_prod(_u12908, _u12908)), tc_fun(_u12908, tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool)), _u12908), hAPP(c_COMBB(tc_prod(_u12908, _u12908), tc_fun(tc_fun(tc_prod(_u12908, _u12908), tc_HOL_Obool), tc_HOL_Obool), _u12908), c_member(tc_prod(_u12908, _u12908)))), c_Product__Type_OPair(_u12908, _u12908)))), _u12910)) )).
% 12.32/12.57 cnf(matrix-5927, plain, ( ~c_Equiv__Relations_Oequivp(_u12909, hAPP(hAPP(c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_prod(_u12909, _u12909)), tc_fun(_u12909, tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_prod(_u12909, _u12909), tc_fun(tc_fun(tc_prod(_u12909, _u12909), tc_HOL_Obool), tc_HOL_Obool), _u12909), c_member(tc_prod(_u12909, _u12909)))), c_Product__Type_OPair(_u12909, _u12909)))), _u12911)) | c_Equiv__Relations_Oequiv(_u12909, c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)), _u12911) )).
% 12.32/12.57 cnf(matrix-5928, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12913)) | ~c_Fun_Oinj__on(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12912, tc_fun(tc_prod(_u12912, _u12912), tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12912, _u12912), tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool)), _u12912), c_Equiv__Relations_Oquotient(_u12912)), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), c_Set_Oinsert(_u12912)), c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))))), _u12914), _u12913) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12912), _u12913), _u12914)) = hAPP(c_Finite__Set_Ocard(_u12912), _u12913)) )).
% 12.32/12.57 cnf(matrix-5929, plain, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.32/12.57 cnf(matrix-5930, plain, ( c_Fun_Oinj__on(_u12915, _u12916, _u12917, c_Orderings_Obot__class_Obot(tc_fun(_u12915, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5931, plain, ( ~class_Groups_Oordered__ab__group__add(_u12918) | c_Fun_Oinj__on(_u12918, _u12918, c_Groups_Ouminus__class_Ouminus(_u12918), _u12919) )).
% 12.32/12.57 cnf(matrix-5932, plain, ( ~c_Fun_Oinj__on(_u12920, _u12921, _u12922, _u12923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12920, tc_HOL_Obool)), _u12924), _u12923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12920, _u12921, _u12922), _u12924)), hAPP(c_Set_Oimage(_u12920, _u12921, _u12922), _u12923))) )).
% 12.32/12.57 cnf(matrix-5933, plain, ( ~c_Fun_Oinj__on(_u12925, _u12926, _u12927, _u12928) | ( hAPP(_u12927, _u12929) != hAPP(_u12927, _u12930)) | ~hBOOL(hAPP(hAPP(c_member(_u12925), _u12929), _u12928)) | ~hBOOL(hAPP(hAPP(c_member(_u12925), _u12930), _u12928)) | ( _u12929 = _u12930) )).
% 12.32/12.57 cnf(matrix-5934, plain, ( ~c_Fun_Oinj__on(_u12931, _u12932, _u12933, _u12934) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12935), _u12934)) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12936), _u12934)) | ( hAPP(_u12933, _u12935) != hAPP(_u12933, _u12936)) | ( _u12935 = _u12936) )).
% 12.32/12.57 cnf(matrix-5935, plain, ( ~c_Fun_Oinj__on(_u12931, _u12932, _u12933, _u12934) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12935), _u12934)) | ~hBOOL(hAPP(hAPP(c_member(_u12931), _u12936), _u12934)) | ( _u12935 != _u12936) | ( hAPP(_u12933, _u12935) = hAPP(_u12933, _u12936)) )).
% 12.32/12.57 cnf(matrix-5936, plain, ( ~c_Fun_Oinj__on(_u12937, _u12938, _u12939, _u12940) | ( _u12941 = _u12942) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12941), _u12940)) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12942), _u12940)) | ( hAPP(_u12939, _u12941) != hAPP(_u12939, _u12942)) )).
% 12.32/12.57 cnf(matrix-5937, plain, ( ~c_Fun_Oinj__on(_u12943, _u12944, _u12945, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12943, tc_HOL_Obool)), _u12946), _u12947)) | ( hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12946) != hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12947)) | ( _u12946 = _u12947) )).
% 12.32/12.57 cnf(matrix-5938, plain, ( ~c_Fun_Oinj__on(_u12943, _u12944, _u12945, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12943, tc_HOL_Obool)), _u12946), _u12947)) | ( _u12946 != _u12947) | ( hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12946) = hAPP(c_Set_Oimage(_u12943, _u12944, _u12945), _u12947)) )).
% 12.32/12.57 cnf(matrix-5939, plain, ( ~c_Fun_Oinj__on(_u12948, _u12949, _u12950, c_Orderings_Otop__class_Otop(tc_fun(_u12948, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u12951, _u12948, _u12952, c_Orderings_Otop__class_Otop(tc_fun(_u12951, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12951, _u12949, hAPP(c_Fun_Ocomp(_u12948, _u12949, _u12951, _u12950), _u12952), c_Orderings_Otop__class_Otop(tc_fun(_u12951, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5940, plain, ( ~c_Fun_Oinj__on(_u12953, _u12954, hAPP(c_Fun_Ocomp(_u12955, _u12954, _u12953, _u12956), _u12957), _u12958) | c_Fun_Oinj__on(_u12955, _u12954, _u12956, hAPP(c_Set_Oimage(_u12953, _u12955, _u12957), _u12958)) )).
% 12.32/12.57 cnf(matrix-5941, plain, ( ~c_Fun_Oinj__on(_u12959, _u12960, _u12961, _u12962) | ~c_Fun_Oinj__on(_u12960, _u12963, _u12964, hAPP(c_Set_Oimage(_u12959, _u12960, _u12961), _u12962)) | c_Fun_Oinj__on(_u12959, _u12963, hAPP(c_Fun_Ocomp(_u12960, _u12963, _u12959, _u12964), _u12961), _u12962) )).
% 12.32/12.57 cnf(matrix-5942, plain, ( ~c_Fun_Oinj__on(_u12965, _u12966, _u12967, _u12968) | ~c_Fun_Oinj__on(_u12966, _u12969, _u12970, hAPP(c_Set_Oimage(_u12965, _u12966, _u12967), _u12968)) | c_Fun_Oinj__on(_u12965, _u12969, hAPP(c_Fun_Ocomp(_u12966, _u12969, _u12965, _u12970), _u12967), _u12968) )).
% 12.32/12.57 cnf(matrix-5943, plain, ( ~c_Fun_Oinj__on(_u12965, _u12966, _u12967, _u12968) | ~c_Fun_Oinj__on(_u12965, _u12969, hAPP(c_Fun_Ocomp(_u12966, _u12969, _u12965, _u12970), _u12967), _u12968) | c_Fun_Oinj__on(_u12966, _u12969, _u12970, hAPP(c_Set_Oimage(_u12965, _u12966, _u12967), _u12968)) )).
% 12.32/12.57 cnf(matrix-5944, plain, ( ~c_Fun_Oinj__on(_u12971, _u12972, _u12973, _u12974) | ( hAPP(c_Finite__Set_Ocard(_u12972), hAPP(c_Set_Oimage(_u12971, _u12972, _u12973), _u12974)) = hAPP(c_Finite__Set_Ocard(_u12971), _u12974)) )).
% 12.32/12.57 cnf(matrix-5945, plain, ( ~c_Fun_Oinj__on(_u12975, _u12976, _u12977, _u12978) | c_Fun_Oinj__on(_u12975, _u12976, _u12977, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12975, tc_HOL_Obool)), _u12978), _u12979)) )).
% 12.32/12.57 cnf(matrix-5946, plain, ( c_Fun_Oinj__on(_u12980, _u12980, c_COMBI(_u12980), _u12981) )).
% 12.32/12.57 cnf(matrix-5947, plain, ( ~c_Fun_Oinj__on(_u12990, _u12992, _u12994, _u12996) | ~hBOOL(hAPP(hAPP(c_member(_u12990), _u12983), _u12996)) | ~hBOOL(hAPP(hAPP(c_member(_u12990), _u12982), _u12996)) | ( hAPP(_u12994, _u12983) != hAPP(_u12994, _u12982)) | ( _u12983 = _u12982) )).
% 12.32/12.57 cnf(matrix-5948, plain, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | hBOOL(hAPP(hAPP(c_member(_u12991), skolem272(_u12997, _u12995, _u12993, _u12991)), _u12997)) )).
% 12.32/12.57 cnf(matrix-5949, plain, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | hBOOL(hAPP(hAPP(c_member(_u12991), skolem273(_u12997, _u12995, _u12993, _u12991)), _u12997)) )).
% 12.32/12.57 cnf(matrix-5950, plain, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | ( hAPP(_u12995, skolem272(_u12997, _u12995, _u12993, _u12991)) = hAPP(_u12995, skolem273(_u12997, _u12995, _u12993, _u12991))) )).
% 12.32/12.57 cnf(matrix-5951, plain, ( c_Fun_Oinj__on(_u12991, _u12993, _u12995, _u12997) | ( skolem272(_u12997, _u12995, _u12993, _u12991) != skolem273(_u12997, _u12995, _u12993, _u12991)) )).
% 12.32/12.57 cnf(matrix-5952, plain, ( ~c_Fun_Oinj__on(_u12998, _u12999, _u13000, _u13001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12998, tc_HOL_Obool)), _u13002), _u13001)) | c_Fun_Oinj__on(_u12998, _u12999, _u13000, _u13002) )).
% 12.32/12.57 cnf(matrix-5953, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13003), hAPP(c_Set_Oimage(_u13004, _u13003, _u13005), _u13006))) | ~c_Fun_Oinj__on(_u13004, _u13003, _u13005, _u13006) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13004), _u13006)) )).
% 12.32/12.57 cnf(matrix-5954, plain, ( ~c_Fun_Oinj__on(_u13007, _u13008, hAPP(c_Fun_Ocomp(_u13009, _u13008, _u13007, _u13010), _u13011), _u13012) | c_Fun_Oinj__on(_u13007, _u13009, _u13011, _u13012) )).
% 12.32/12.57 cnf(matrix-5955, plain, ( c_Equiv__Relations_Oequivp(_u13013, c_fequal) )).
% 12.32/12.57 cnf(matrix-5956, plain, ( ~c_Equiv__Relations_Oequivp(_u13028, _u13030) | ~hBOOL(hAPP(hAPP(_u13030, _u13022), _u13020)) | ( hAPP(_u13030, _u13022) = hAPP(_u13030, _u13020)) )).
% 12.32/12.57 cnf(matrix-5957, plain, ( ~c_Equiv__Relations_Oequivp(_u13028, _u13030) | ( hAPP(_u13030, _u13023) != hAPP(_u13030, _u13021)) | hBOOL(hAPP(hAPP(_u13030, _u13023), _u13021)) )).
% 12.32/12.57 cnf(matrix-5958, plain, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | hBOOL(hAPP(hAPP(_u13031, skolem274(_u13031)), skolem275(_u13031))) | ( hAPP(_u13031, skolem276(_u13031)) = hAPP(_u13031, skolem277(_u13031))) )).
% 12.32/12.57 cnf(matrix-5959, plain, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | hBOOL(hAPP(hAPP(_u13031, skolem274(_u13031)), skolem275(_u13031))) | ~hBOOL(hAPP(hAPP(_u13031, skolem276(_u13031)), skolem277(_u13031))) )).
% 12.32/12.57 cnf(matrix-5960, plain, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | ( hAPP(_u13031, skolem274(_u13031)) != hAPP(_u13031, skolem275(_u13031))) | ( hAPP(_u13031, skolem276(_u13031)) = hAPP(_u13031, skolem277(_u13031))) )).
% 12.32/12.57 cnf(matrix-5961, plain, ( c_Equiv__Relations_Oequivp(_u13029, _u13031) | ( hAPP(_u13031, skolem274(_u13031)) != hAPP(_u13031, skolem275(_u13031))) | ~hBOOL(hAPP(hAPP(_u13031, skolem276(_u13031)), skolem277(_u13031))) )).
% 12.32/12.57 cnf(matrix-5962, plain, ( hBOOL(hAPP(hAPP(_u13033, _u13034), _u13034)) | ~c_Equiv__Relations_Oequivp(_u13032, _u13033) )).
% 12.32/12.57 cnf(matrix-5963, plain, ( ~hBOOL(hAPP(hAPP(_u13036, _u13037), _u13038)) | hBOOL(hAPP(hAPP(_u13036, _u13038), _u13037)) | ~c_Equiv__Relations_Oequivp(_u13035, _u13036) )).
% 12.32/12.57 cnf(matrix-5964, plain, ( ~hBOOL(hAPP(hAPP(_u13040, _u13041), _u13042)) | ~hBOOL(hAPP(hAPP(_u13040, _u13042), _u13043)) | hBOOL(hAPP(hAPP(_u13040, _u13041), _u13043)) | ~c_Equiv__Relations_Oequivp(_u13039, _u13040) )).
% 12.32/12.57 cnf(matrix-5965, plain, ( ~c_Fun_Oinj__on(_u13044, _u13045, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13044, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13047) != hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13048)) | ( _u13047 = _u13048) )).
% 12.32/12.57 cnf(matrix-5966, plain, ( ~c_Fun_Oinj__on(_u13044, _u13045, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13044, tc_HOL_Obool))) | ( _u13047 != _u13048) | ( hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13047) = hAPP(c_Set_Oimage(_u13044, _u13045, _u13046), _u13048)) )).
% 12.32/12.57 cnf(matrix-5967, plain, ( ( hAPP(_u13051, _u13052) != hAPP(_u13051, _u13053)) | ( _u13052 = _u13053) | ~c_Fun_Oinj__on(_u13049, _u13050, _u13051, c_Orderings_Otop__class_Otop(tc_fun(_u13049, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5968, plain, ( ~c_Fun_Oinj__on(_u13054, _u13055, _u13056, c_Orderings_Otop__class_Otop(tc_fun(_u13054, tc_HOL_Obool))) | ( hAPP(_u13056, _u13057) != hAPP(_u13056, _u13058)) | ( _u13057 = _u13058) )).
% 12.32/12.57 cnf(matrix-5969, plain, ( ~c_Fun_Oinj__on(_u13054, _u13055, _u13056, c_Orderings_Otop__class_Otop(tc_fun(_u13054, tc_HOL_Obool))) | ( _u13057 != _u13058) | ( hAPP(_u13056, _u13057) = hAPP(_u13056, _u13058)) )).
% 12.32/12.57 cnf(matrix-5970, plain, ( ~c_Fun_Oinj__on(_u13059, _u13060, _u13061, c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13059, tc_fun(_u13062, _u13060), hAPP(hAPP(c_COMBB(_u13060, tc_fun(_u13062, _u13060), _u13059), c_COMBK(_u13060, _u13062)), _u13061), c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5971, plain, ( ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13066) | ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13067) | c_Fun_Oinj__on(_u13063, _u13064, _u13065, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13063, tc_HOL_Obool)), _u13066), _u13067)) )).
% 12.32/12.57 cnf(matrix-5972, plain, ( ~c_Fun_Oinj__on(_u13068, _u13069, _u13070, c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13069), hAPP(_u13070, _u13071)), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), _u13072))) | hBOOL(hAPP(hAPP(c_member(_u13068), _u13071), _u13072)) )).
% 12.32/12.57 cnf(matrix-5973, plain, ( ~c_Fun_Oinj__on(_u13068, _u13069, _u13070, c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13068), _u13071), _u13072)) | hBOOL(hAPP(hAPP(c_member(_u13069), hAPP(_u13070, _u13071)), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), _u13072))) )).
% 12.32/12.57 cnf(matrix-5974, plain, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 = hAPP(_u13079, skolem278(_u13080, _u13079, _u13078, _u13077))) )).
% 12.32/12.57 cnf(matrix-5975, plain, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13073)) | ( _u13073 = skolem278(_u13080, _u13079, _u13078, _u13077)) )).
% 12.32/12.57 cnf(matrix-5976, plain, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13076)) | ( _u13080 = hAPP(_u13079, skolem279(_u13080, _u13079, _u13078, _u13077, _u13076))) )).
% 12.32/12.57 cnf(matrix-5977, plain, ( ~c_Fun_Oinj__on(_u13077, _u13078, _u13079, c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13080), hAPP(c_Set_Oimage(_u13077, _u13078, _u13079), c_Orderings_Otop__class_Otop(tc_fun(_u13077, tc_HOL_Obool))))) | ( _u13080 != hAPP(_u13079, _u13076)) | ( skolem279(_u13080, _u13079, _u13078, _u13077, _u13076) != _u13076) )).
% 12.32/12.57 cnf(matrix-5978, plain, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13086, _u13087, _u13081, _u13085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13087, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13086, _u13087, _u13081), _u13085)), _u13088)) | ( hAPP(c_Set_Oimage(_u13087, _u13086, skolem280(_u13088, _u13087, _u13086, _u13085)), _u13088) = _u13085) )).
% 12.32/12.57 cnf(matrix-5979, plain, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13087, _u13086, _u13083), _u13088) != _u13085) | c_Fun_Oinj__on(_u13086, _u13087, skolem281(_u13088, _u13087, _u13086, _u13085), _u13085) )).
% 12.32/12.57 cnf(matrix-5980, plain, ( ( _u13085 = c_Orderings_Obot__class_Obot(tc_fun(_u13086, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13087, _u13086, _u13083), _u13088) != _u13085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13087, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13086, _u13087, skolem281(_u13088, _u13087, _u13086, _u13085)), _u13085)), _u13088)) )).
% 12.32/12.57 cnf(matrix-5981, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13089), _u13090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13089, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13089, _u13089, _u13091), _u13090)), _u13090)) | ~c_Fun_Oinj__on(_u13089, _u13089, _u13091, _u13090) | ( hAPP(c_Set_Oimage(_u13089, _u13089, _u13091), _u13090) = _u13090) )).
% 12.32/12.57 cnf(matrix-5982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13092), _u13093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13092, tc_HOL_Obool)), _u13093), hAPP(c_Set_Oimage(_u13092, _u13092, _u13094), _u13093))) | c_Fun_Oinj__on(_u13092, _u13092, _u13094, _u13093) )).
% 12.32/12.57 cnf(matrix-5983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13095), c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u13095, _u13095, _u13096, c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13095, _u13095, _u13096), c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13095, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13097), c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u13097, _u13097, _u13098), c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13097, _u13097, _u13098, c_Orderings_Otop__class_Otop(tc_fun(_u13097, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-5985, plain, ( ~c_Fun_Oinj__on(_u13099, _u13100, _u13101, c_Orderings_Otop__class_Otop(tc_fun(_u13099, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13102)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13099, tc_HOL_Obool)), _u13102), _u13103)) )).
% 12.32/12.57 cnf(matrix-5986, plain, ( ~c_Fun_Oinj__on(_u13099, _u13100, _u13101, c_Orderings_Otop__class_Otop(tc_fun(_u13099, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13099, tc_HOL_Obool)), _u13102), _u13103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13102)), hAPP(c_Set_Oimage(_u13099, _u13100, _u13101), _u13103))) )).
% 12.32/12.57 cnf(matrix-5987, plain, ( ~c_Fun_Oinj__on(_u13104, _u13105, _u13106, _u13107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13104, tc_HOL_Obool)), _u13108), _u13107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13104, tc_HOL_Obool)), _u13109), _u13107)) | ( hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13104, tc_HOL_Obool)), _u13108), _u13109)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13105, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), _u13108)), hAPP(c_Set_Oimage(_u13104, _u13105, _u13106), _u13109))) )).
% 12.32/12.57 cnf(matrix-5988, plain, ( ~c_Fun_Oinj__on(_u13110, _u13111, _u13112, c_Orderings_Otop__class_Otop(tc_fun(_u13110, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13110, tc_HOL_Obool)), _u13113), _u13114)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13111, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), _u13113)), hAPP(c_Set_Oimage(_u13110, _u13111, _u13112), _u13114))) )).
% 12.32/12.57 cnf(matrix-5989, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13115), _u13116)) | ( hAPP(c_Finite__Set_Ocard(_u13117), hAPP(c_Set_Oimage(_u13115, _u13117, _u13118), _u13116)) != hAPP(c_Finite__Set_Ocard(_u13115), _u13116)) | c_Fun_Oinj__on(_u13115, _u13117, _u13118, _u13116) )).
% 12.32/12.57 cnf(matrix-5990, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13119), _u13120)) | ~c_Fun_Oinj__on(_u13119, _u13121, _u13122, _u13120) | ( hAPP(c_Finite__Set_Ocard(_u13121), hAPP(c_Set_Oimage(_u13119, _u13121, _u13122), _u13120)) = hAPP(c_Finite__Set_Ocard(_u13119), _u13120)) )).
% 12.32/12.57 cnf(matrix-5991, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13119), _u13120)) | ( hAPP(c_Finite__Set_Ocard(_u13121), hAPP(c_Set_Oimage(_u13119, _u13121, _u13122), _u13120)) != hAPP(c_Finite__Set_Ocard(_u13119), _u13120)) | c_Fun_Oinj__on(_u13119, _u13121, _u13122, _u13120) )).
% 12.32/12.57 cnf(matrix-5992, plain, ( ~c_Fun_Oinj__on(_u13123, _u13124, _u13125, _u13126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13123, tc_HOL_Obool)), _u13127), _u13126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13123, tc_HOL_Obool)), _u13128), _u13126)) | ( hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13123, tc_HOL_Obool)), _u13127), _u13128)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13124, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), _u13127)), hAPP(c_Set_Oimage(_u13123, _u13124, _u13125), _u13128))) )).
% 12.32/12.57 cnf(matrix-5993, plain, ( ~c_Fun_Oinj__on(_u13129, _u13130, _u13131, c_Orderings_Otop__class_Otop(tc_fun(_u13129, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13129, tc_HOL_Obool)), _u13132), _u13133)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), _u13132)), hAPP(c_Set_Oimage(_u13129, _u13130, _u13131), _u13133))) )).
% 12.32/12.57 cnf(matrix-5994, plain, ( ~class_Groups_Ocomm__monoid__add(_u13134) | ~c_Fun_Oinj__on(_u13135, _u13136, _u13137, _u13138) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13136, _u13134), _u13139), hAPP(c_Set_Oimage(_u13135, _u13136, _u13137), _u13138)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13135, _u13134), hAPP(c_Fun_Ocomp(_u13136, _u13134, _u13135, _u13139), _u13137)), _u13138)) )).
% 12.32/12.57 cnf(matrix-5995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13140), hAPP(c_Set_Oimage(_u13141, _u13140, _u13142), _u13143))), hAPP(c_Finite__Set_Ocard(_u13141), _u13143))) | ~c_Fun_Oinj__on(_u13141, _u13140, _u13142, _u13143) )).
% 12.32/12.57 cnf(matrix-5996, plain, ( ~c_Fun_Oinj__on(_u13144, _u13145, _u13146, _u13147) | hBOOL(hAPP(hAPP(c_member(_u13145), _u13148), hAPP(c_Set_Oimage(_u13144, _u13145, _u13146), _u13147))) | c_Fun_Oinj__on(_u13144, _u13145, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13144, _u13145), _u13146), _u13149), _u13148), _u13147) )).
% 12.32/12.57 cnf(matrix-5997, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13150) | ~c_Fun_Oinj__on(_u13151, _u13152, _u13153, _u13154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13152, _u13150), _u13155), hAPP(c_Set_Oimage(_u13151, _u13152, _u13153), _u13154)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13151, _u13150), hAPP(c_Fun_Ocomp(_u13152, _u13150, _u13151, _u13155), _u13153)), _u13154)) )).
% 12.32/12.57 cnf(matrix-5998, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13156) | ~c_Fun_Oinj__on(_u13157, _u13158, _u13159, _u13160) | ( _u13161 != hAPP(c_Set_Oimage(_u13157, _u13158, _u13159), _u13160)) | ( _u13162 != hAPP(c_Fun_Ocomp(_u13158, _u13156, _u13157, _u13163), _u13159)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13158, _u13156), _u13163), _u13161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13157, _u13156), _u13162), _u13160)) )).
% 12.32/12.57 cnf(matrix-5999, plain, ( c_Fun_Oinj__on(_u13164, tc_fun(_u13164, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13164, tc_fun(_u13164, tc_HOL_Obool), tc_fun(_u13164, tc_HOL_Obool)), c_Set_Oinsert(_u13164)), c_Orderings_Obot__class_Obot(tc_fun(_u13164, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13164, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6000, plain, ( ~class_Groups_Ocomm__monoid__add(_u13165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13166), _u13167)) | ~c_Fun_Oinj__on(_u13166, _u13166, _u13168, _u13167) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13166, _u13165), _u13169), hAPP(c_Set_Oimage(_u13166, _u13166, _u13168), _u13167)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13166, _u13165), hAPP(c_Fun_Ocomp(_u13166, _u13165, _u13166, _u13169), _u13168)), _u13167)) )).
% 12.32/12.57 cnf(matrix-6001, plain, ( ~c_Fun_Oinj__on(_u13170, _u13171, _u13172, _u13173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13171, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13170, _u13171, _u13172), _u13173)), _u13174)) | ~c_Fun_Oinj__on(_u13171, _u13170, _u13175, _u13174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13170, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13171, _u13170, _u13175), _u13174)), _u13173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13171), _u13174)) | ( hAPP(c_Finite__Set_Ocard(_u13170), _u13173) = hAPP(c_Finite__Set_Ocard(_u13171), _u13174)) )).
% 12.32/12.57 cnf(matrix-6002, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13177), _u13178)) | ~c_Fun_Oinj__on(_u13177, _u13177, _u13179, _u13178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13177, _u13176), _u13180), hAPP(c_Set_Oimage(_u13177, _u13177, _u13179), _u13178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13177, _u13176), hAPP(c_Fun_Ocomp(_u13177, _u13176, _u13177, _u13180), _u13179)), _u13178)) )).
% 12.32/12.57 cnf(matrix-6003, plain, ( ~c_Fun_Oinj__on(_u13181, _u13182, _u13183, c_Orderings_Otop__class_Otop(tc_fun(_u13181, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13182, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13181, _u13182, _u13183), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13181, tc_HOL_Obool)), _u13184))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13182, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13181, _u13182, _u13183), _u13184)))) )).
% 12.32/12.57 cnf(matrix-6004, plain, ( ~c_Fun_Oinj__on(_u13190, _u13192, _u13194, hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), _u13198)) | c_Fun_Oinj__on(_u13190, _u13192, _u13194, _u13198) )).
% 12.32/12.57 cnf(matrix-6005, plain, ( ~c_Fun_Oinj__on(_u13190, _u13192, _u13194, hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), _u13198)) | ~hBOOL(hAPP(hAPP(c_member(_u13192), hAPP(_u13194, _u13196)), hAPP(c_Set_Oimage(_u13190, _u13192, _u13194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13190, tc_HOL_Obool)), _u13198), hAPP(hAPP(c_Set_Oinsert(_u13190), _u13196), c_Orderings_Obot__class_Obot(tc_fun(_u13190, tc_HOL_Obool))))))) )).
% 12.32/12.57 cnf(matrix-6006, plain, ( ~c_Fun_Oinj__on(_u13191, _u13193, _u13195, _u13199) | hBOOL(hAPP(hAPP(c_member(_u13193), hAPP(_u13195, _u13197)), hAPP(c_Set_Oimage(_u13191, _u13193, _u13195), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13191, tc_HOL_Obool)), _u13199), hAPP(hAPP(c_Set_Oinsert(_u13191), _u13197), c_Orderings_Obot__class_Obot(tc_fun(_u13191, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u13191, _u13193, _u13195, hAPP(hAPP(c_Set_Oinsert(_u13191), _u13197), _u13199)) )).
% 12.32/12.57 cnf(matrix-6007, plain, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | c_Fun_Oinj__on(_u13205, _u13207, _u13209, _u13211) )).
% 12.32/12.57 cnf(matrix-6008, plain, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | c_Fun_Oinj__on(_u13205, _u13207, _u13209, _u13213) )).
% 12.32/12.57 cnf(matrix-6009, plain, ( ~c_Fun_Oinj__on(_u13205, _u13207, _u13209, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13207, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13205, _u13207, _u13209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13205, tc_HOL_Obool)), _u13211), _u13213))), hAPP(c_Set_Oimage(_u13205, _u13207, _u13209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13205, tc_HOL_Obool)), _u13213), _u13211))) = c_Orderings_Obot__class_Obot(tc_fun(_u13207, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6010, plain, ( ~c_Fun_Oinj__on(_u13206, _u13208, _u13210, _u13212) | ~c_Fun_Oinj__on(_u13206, _u13208, _u13210, _u13214) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13208, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13206, _u13208, _u13210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13206, tc_HOL_Obool)), _u13212), _u13214))), hAPP(c_Set_Oimage(_u13206, _u13208, _u13210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13206, tc_HOL_Obool)), _u13214), _u13212))) != c_Orderings_Obot__class_Obot(tc_fun(_u13208, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13206, _u13208, _u13210, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13206, tc_HOL_Obool)), _u13212), _u13214)) )).
% 12.32/12.57 cnf(matrix-6011, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~c_Fun_Oinj__on(_u13217, _u13219, _u13215, _u13218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13219, _u13215), _u13218)), _u13220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) )).
% 12.32/12.57 cnf(matrix-6012, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) | c_Fun_Oinj__on(_u13217, _u13219, skolem282(_u13220, _u13219, _u13218, _u13217), _u13218) )).
% 12.32/12.57 cnf(matrix-6013, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13217), _u13218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13217), _u13218)), hAPP(c_Finite__Set_Ocard(_u13219), _u13220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13219, skolem282(_u13220, _u13219, _u13218, _u13217)), _u13218)), _u13220)) )).
% 12.32/12.57 cnf(matrix-6014, plain, ( ~c_Fun_Oinj__on(_u13221, _u13222, _u13223, _u13224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13222, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13221, _u13222, _u13223), _u13224)), _u13225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13222), _u13225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13221), _u13224)), hAPP(c_Finite__Set_Ocard(_u13222), _u13225))) )).
% 12.32/12.57 cnf(matrix-6015, plain, ( ~c_Fun_Oinj__on(_u13226, tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13226, tc_fun(tc_prod(_u13226, _u13226), tc_HOL_Obool), tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13226, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13226, _u13226), tc_HOL_Obool), tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), _u13226), c_Equiv__Relations_Oquotient(_u13226)), hAPP(hAPP(c_COMBC(_u13226, tc_fun(_u13226, tc_HOL_Obool), tc_fun(_u13226, tc_HOL_Obool)), c_Set_Oinsert(_u13226)), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool))))), _u13227), _u13228) | ~hBOOL(hAPP(hAPP(c_member(_u13226), _u13229), _u13228)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13226, tc_HOL_Obool)), _u13228), hAPP(hAPP(c_Set_Oinsert(_u13226), _u13229), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool))))), _u13227) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u13226, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), _u13228), _u13227)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13226), hAPP(hAPP(c_Set_Oinsert(_u13226), _u13229), c_Orderings_Obot__class_Obot(tc_fun(_u13226, tc_HOL_Obool)))), _u13227))) )).
% 12.32/12.57 cnf(matrix-6016, plain, ( ~c_Typedef_Otype__definition(_u13230, _u13231, _u13232, _u13233, _u13234) | ( hAPP(c_Set_Oimage(_u13231, _u13230, _u13233), _u13234) = c_Orderings_Otop__class_Otop(tc_fun(_u13230, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6017, plain, ( ~c_Typedef_Otype__definition(_u13235, _u13236, _u13237, _u13238, _u13239) | ( hAPP(c_Set_Oimage(_u13235, _u13236, _u13237), c_Orderings_Otop__class_Otop(tc_fun(_u13235, tc_HOL_Obool))) = _u13239) )).
% 12.32/12.57 cnf(matrix-6018, plain, ( ~c_Finite__Set_Ofolding__image(_u13240, _u13241, _u13242, _u13243, _u13244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13241), _u13245)) | ~c_Fun_Oinj__on(_u13241, _u13241, _u13246, _u13245) | ( hAPP(hAPP(_u13244, _u13247), hAPP(c_Set_Oimage(_u13241, _u13241, _u13246), _u13245)) = hAPP(hAPP(_u13244, hAPP(c_Fun_Ocomp(_u13241, _u13240, _u13241, _u13247), _u13246)), _u13245)) )).
% 12.32/12.57 cnf(matrix-6019, plain, ( c_Fun_Oinj__on(_u13248, tc_sum(_u13249, _u13248), c_Sum__Type_OInr(_u13248, _u13249), _u13250) )).
% 12.32/12.57 cnf(matrix-6020, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u13251) )).
% 12.32/12.57 cnf(matrix-6021, plain, ( c_Fun_Oinj__on(_u13252, tc_Option_Ooption(_u13252), c_Option_Ooption_OSome(_u13252), _u13253) )).
% 12.32/12.57 cnf(matrix-6022, plain, ( c_Fun_Oinj__on(_u13254, tc_sum(_u13254, _u13255), c_Sum__Type_OInl(_u13254, _u13255), _u13256) )).
% 12.32/12.57 cnf(matrix-6023, 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)), _u13257), _u13258) )).
% 12.32/12.57 cnf(matrix-6024, plain, ( ~class_Nat_Osemiring__char__0(_u13259) | c_Fun_Oinj__on(tc_Nat_Onat, _u13259, c_Nat_Osemiring__1__class_Oof__nat(_u13259), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6025, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6026, plain, ( c_Fun_Oinj__on(tc_prod(_u13260, _u13261), tc_prod(_u13261, _u13260), hAPP(c_Product__Type_Oprod_Oprod__case(_u13260, _u13261, tc_prod(_u13261, _u13260)), hAPP(c_COMBC(_u13261, _u13260, tc_prod(_u13261, _u13260)), c_Product__Type_OPair(_u13261, _u13260))), _u13262) )).
% 12.32/12.57 cnf(matrix-6027, plain, ( ~c_Finite__Set_Ofolding__image(_u13263, _u13264, _u13265, _u13266, _u13267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13264), _u13268)) | ( hAPP(hAPP(_u13267, hAPP(hAPP(c_COMBS(_u13264, _u13263, _u13263), hAPP(hAPP(c_COMBB(_u13263, tc_fun(_u13263, _u13263), _u13264), _u13265), _u13269)), _u13270)), _u13268) = hAPP(hAPP(_u13265, hAPP(hAPP(_u13267, _u13269), _u13268)), hAPP(hAPP(_u13267, _u13270), _u13268))) )).
% 12.32/12.57 cnf(matrix-6028, plain, ( ( hAPP(_u13274, hAPP(_u13273, _u13276)) = _u13276) | ~c_Typedef_Otype__definition(_u13271, _u13272, _u13273, _u13274, _u13275) )).
% 12.32/12.57 cnf(matrix-6029, plain, ( ~c_Typedef_Otype__definition(_u13277, _u13278, _u13279, _u13280, _u13281) | ( hAPP(_u13279, _u13282) != hAPP(_u13279, _u13283)) | ( _u13282 = _u13283) )).
% 12.32/12.57 cnf(matrix-6030, plain, ( ~c_Typedef_Otype__definition(_u13277, _u13278, _u13279, _u13280, _u13281) | ( _u13282 != _u13283) | ( hAPP(_u13279, _u13282) = hAPP(_u13279, _u13283)) )).
% 12.32/12.57 cnf(matrix-6031, plain, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6032, plain, ( ~c_Typedef_Otype__definition(_u13284, _u13285, _u13286, _u13287, _u13288) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13289), _u13288)) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13290), _u13288)) | ( hAPP(_u13287, _u13289) != hAPP(_u13287, _u13290)) | ( _u13289 = _u13290) )).
% 12.32/12.57 cnf(matrix-6033, plain, ( ~c_Typedef_Otype__definition(_u13284, _u13285, _u13286, _u13287, _u13288) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13289), _u13288)) | ~hBOOL(hAPP(hAPP(c_member(_u13285), _u13290), _u13288)) | ( _u13289 != _u13290) | ( hAPP(_u13287, _u13289) = hAPP(_u13287, _u13290)) )).
% 12.32/12.57 cnf(matrix-6034, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13292), _u13296), _u13295)) | ( hAPP(_u13293, hAPP(_u13294, _u13296)) = _u13296) | ~c_Typedef_Otype__definition(_u13291, _u13292, _u13293, _u13294, _u13295) )).
% 12.32/12.57 cnf(matrix-6035, plain, ( hBOOL(hAPP(hAPP(c_member(_u13298), hAPP(_u13299, _u13302)), _u13301)) | ~c_Typedef_Otype__definition(_u13297, _u13298, _u13299, _u13300, _u13301) )).
% 12.32/12.57 cnf(matrix-6036, plain, ( ~c_Fun_Oinj__on(_u13303, _u13304, _u13305, hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308)) | ~c_Fun_Oinj__on(_u13306, _u13303, _u13307, _u13308) | ~hBOOL(hAPP(hAPP(c_member(_u13304), _u13309), hAPP(c_Set_Oimage(_u13303, _u13304, _u13305), hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308)))) | ( hAPP(c_Fun_Othe__inv__into(_u13306, _u13304, _u13308, hAPP(c_Fun_Ocomp(_u13303, _u13304, _u13306, _u13305), _u13307)), _u13309) = hAPP(hAPP(c_Fun_Ocomp(_u13303, _u13306, _u13304, c_Fun_Othe__inv__into(_u13306, _u13303, _u13308, _u13307)), c_Fun_Othe__inv__into(_u13303, _u13304, hAPP(c_Set_Oimage(_u13306, _u13303, _u13307), _u13308), _u13305)), _u13309)) )).
% 12.32/12.57 cnf(matrix-6037, plain, ( ~c_Fun_Oinj__on(_u13310, _u13311, _u13312, _u13313) | ~hBOOL(hAPP(hAPP(c_member(_u13311), _u13314), hAPP(c_Set_Oimage(_u13310, _u13311, _u13312), _u13313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13310, tc_HOL_Obool)), _u13313), _u13315)) | hBOOL(hAPP(hAPP(c_member(_u13310), hAPP(c_Fun_Othe__inv__into(_u13310, _u13311, _u13313, _u13312), _u13314)), _u13315)) )).
% 12.32/12.57 cnf(matrix-6038, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13317), _u13318)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13317), _u13319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13317, tc_HOL_Obool)), _u13318), _u13319) != c_Orderings_Obot__class_Obot(tc_fun(_u13317, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13317, tc_HOL_Obool)), _u13318), _u13319)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13316), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), _u13318)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13316, _u13317, c_Groups_Otimes__class_Otimes(_u13316)), _u13320), c_Groups_Oone__class_Oone(_u13316)), _u13319))) )).
% 12.32/12.57 cnf(matrix-6039, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13321, _u13322, _u13323), _u13324), _u13325), c_Orderings_Obot__class_Obot(tc_fun(_u13322, tc_HOL_Obool))) = _u13325) )).
% 12.32/12.57 cnf(matrix-6040, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u13326, _u13327, _u13328, _u13329, _u13330, _u13331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13327), _u13332)) | ( hAPP(_u13331, _u13332) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13326, _u13327, _u13328), _u13330), _u13329), _u13332)) )).
% 12.32/12.57 cnf(matrix-6041, plain, ( ~c_Finite__Set_Ofolding__image(_u13333, _u13334, _u13335, _u13336, _u13337) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13334), _u13338)) | ( hAPP(hAPP(_u13337, _u13339), _u13338) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13333, _u13334, _u13335), _u13339), _u13336), _u13338)) )).
% 12.32/12.57 cnf(matrix-6042, plain, ( ~c_Fun_Oinj__on(_u13340, _u13341, _u13342, _u13343) | ( hAPP(_u13342, _u13344) != _u13345) | ~hBOOL(hAPP(hAPP(c_member(_u13340), _u13344), _u13343)) | ( hAPP(c_Fun_Othe__inv__into(_u13340, _u13341, _u13343, _u13342), _u13345) = _u13344) )).
% 12.32/12.57 cnf(matrix-6043, plain, ( ~c_Fun_Oinj__on(_u13346, _u13347, _u13348, _u13349) | ~hBOOL(hAPP(hAPP(c_member(_u13346), _u13350), _u13349)) | ( hAPP(c_Fun_Othe__inv__into(_u13346, _u13347, _u13349, _u13348), hAPP(_u13348, _u13350)) = _u13350) )).
% 12.32/12.57 cnf(matrix-6044, plain, ( ~c_Fun_Oinj__on(_u13351, _u13352, _u13353, c_Orderings_Otop__class_Otop(tc_fun(_u13351, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u13351, _u13352, c_Orderings_Otop__class_Otop(tc_fun(_u13351, tc_HOL_Obool)), _u13353), hAPP(_u13353, _u13354)) = _u13354) )).
% 12.32/12.57 cnf(matrix-6045, plain, ( ~c_Fun_Oinj__on(_u13355, _u13356, _u13357, _u13358) | c_Fun_Oinj__on(_u13356, _u13355, c_Fun_Othe__inv__into(_u13355, _u13356, _u13358, _u13357), hAPP(c_Set_Oimage(_u13355, _u13356, _u13357), _u13358)) )).
% 12.32/12.57 cnf(matrix-6046, plain, ( ~c_Fun_Oinj__on(_u13359, _u13360, _u13361, _u13362) | ( hAPP(c_Set_Oimage(_u13360, _u13359, c_Fun_Othe__inv__into(_u13359, _u13360, _u13362, _u13361)), hAPP(c_Set_Oimage(_u13359, _u13360, _u13361), _u13362)) = _u13362) )).
% 12.32/12.57 cnf(matrix-6047, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), hAPP(hAPP(c_COMBS(_u13364, _u13363, _u13363), hAPP(hAPP(c_COMBB(_u13363, tc_fun(_u13363, _u13363), _u13364), c_Groups_Otimes__class_Otimes(_u13363)), _u13366)), _u13367)), c_Groups_Oone__class_Oone(_u13363)), _u13365) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13363), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), _u13366), c_Groups_Oone__class_Oone(_u13363)), _u13365)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13363, _u13364, c_Groups_Otimes__class_Otimes(_u13363)), _u13367), c_Groups_Oone__class_Oone(_u13363)), _u13365))) )).
% 12.32/12.57 cnf(matrix-6048, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u13368, _u13369, _u13370, _u13371), _u13372) = c_HOL_OThe(_u13368, hAPP(hAPP(c_COMBS(_u13368, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13368), c_fconj), hAPP(hAPP(c_COMBC(_u13368, tc_fun(_u13368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13368)), _u13370))), hAPP(hAPP(c_COMBC(_u13368, _u13369, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13369, tc_fun(_u13369, tc_HOL_Obool), _u13368), c_fequal), _u13371)), _u13372)))) )).
% 12.32/12.57 cnf(matrix-6049, plain, ( ~class_Groups_Oab__semigroup__mult(_u13373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13374), _u13375)) | hBOOL(hAPP(hAPP(c_member(_u13374), _u13376), _u13375)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13373, _u13374, c_Groups_Otimes__class_Otimes(_u13373)), _u13377), _u13378), hAPP(hAPP(c_Set_Oinsert(_u13374), _u13376), _u13375)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13373), hAPP(_u13377, _u13376)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13373, _u13374, c_Groups_Otimes__class_Otimes(_u13373)), _u13377), _u13378), _u13375))) )).
% 12.32/12.57 cnf(matrix-6050, plain, ( ~class_Groups_Ocomm__monoid__add(_u13379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13380, _u13379), _u13382), _u13381) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13379, _u13380, c_Groups_Oplus__class_Oplus(_u13379)), _u13382), c_Groups_Ozero__class_Ozero(_u13379)), _u13381)) )).
% 12.32/12.57 cnf(matrix-6051, plain, ( ~class_Groups_Ocomm__monoid__add(_u13379) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13380, _u13379), _u13382), _u13381) = c_Groups_Ozero__class_Ozero(_u13379)) )).
% 12.32/12.57 cnf(matrix-6052, plain, ( ~class_Groups_Ocomm__monoid__add(_u13383) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13384), _u13385)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13384, _u13383), _u13386), _u13385) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13383, _u13384, c_Groups_Oplus__class_Oplus(_u13383)), _u13386), c_Groups_Ozero__class_Ozero(_u13383)), _u13385)) )).
% 12.32/12.57 cnf(matrix-6053, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13389)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13388, _u13387), _u13390), _u13389) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13387, _u13388, c_Groups_Otimes__class_Otimes(_u13387)), _u13390), c_Groups_Oone__class_Oone(_u13387)), _u13389)) )).
% 12.32/12.57 cnf(matrix-6054, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13387) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13389)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13388, _u13387), _u13390), _u13389) = c_Groups_Oone__class_Oone(_u13387)) )).
% 12.32/12.57 cnf(matrix-6055, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13392), _u13393)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13392, _u13391), _u13394), _u13393) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13391, _u13392, c_Groups_Otimes__class_Otimes(_u13391)), _u13394), c_Groups_Oone__class_Oone(_u13391)), _u13393)) )).
% 12.32/12.57 cnf(matrix-6056, plain, ( ~c_Fun_Oinj__on(_u13395, _u13396, _u13397, _u13398) | ~hBOOL(hAPP(hAPP(c_member(_u13396), _u13399), hAPP(c_Set_Oimage(_u13395, _u13396, _u13397), _u13398))) | ( hAPP(_u13397, hAPP(c_Fun_Othe__inv__into(_u13395, _u13396, _u13398, _u13397), _u13399)) = _u13399) )).
% 12.32/12.57 cnf(matrix-6057, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13401), _u13402)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13401), _u13403)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13400), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), _u13402)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), _u13403)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13400), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13401, tc_HOL_Obool)), _u13402), _u13403))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13400, _u13401, c_Groups_Otimes__class_Otimes(_u13400)), _u13404), c_Groups_Oone__class_Oone(_u13400)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13401, tc_HOL_Obool)), _u13402), _u13403)))) )).
% 12.32/12.57 cnf(matrix-6058, plain, ( ~class_Groups_Oab__semigroup__mult(_u13405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13406), _u13407)) | ~c_Fun_Oinj__on(_u13406, _u13408, _u13409, _u13407) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13405, _u13408, c_Groups_Otimes__class_Otimes(_u13405)), _u13410), _u13411), hAPP(c_Set_Oimage(_u13406, _u13408, _u13409), _u13407)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13405, _u13406, c_Groups_Otimes__class_Otimes(_u13405)), hAPP(c_Fun_Ocomp(_u13408, _u13405, _u13406, _u13410), _u13409)), _u13411), _u13407)) )).
% 12.32/12.57 cnf(matrix-6059, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13412), _u13413)) | ( hAPP(c_Set_Oimage(_u13412, _u13414, _u13415), _u13413) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u13414, tc_HOL_Obool), _u13412, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13414, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13412, tc_fun(_u13414, tc_HOL_Obool), tc_fun(_u13414, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u13414, tc_fun(tc_fun(_u13414, tc_HOL_Obool), tc_fun(_u13414, tc_HOL_Obool)), _u13412), c_Set_Oinsert(_u13414)), _u13415)), c_Orderings_Obot__class_Obot(tc_fun(_u13414, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u13414, tc_HOL_Obool))), _u13413)) )).
% 12.32/12.57 cnf(matrix-6060, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13416), _u13417)) | ( hAPP(c_Finite__Set_Ocard(_u13416), _u13417) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13416, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13416), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13417)) )).
% 12.32/12.57 cnf(matrix-6061, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13420), _u13422)) | ( hAPP(c_Finite__Set_Ocard(_u13420), _u13422) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13420, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13420), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13422)) )).
% 12.32/12.57 cnf(matrix-6062, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13421), _u13423)) | ( hAPP(c_Finite__Set_Ocard(_u13421), _u13423) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-6063, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u13424, _u13425, _u13426, _u13427, _u13428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13425), _u13429)) | ( hAPP(hAPP(_u13428, _u13430), _u13429) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13424, _u13425, _u13426), _u13430), _u13427), _u13429)) )).
% 12.32/12.57 cnf(matrix-6064, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u13424, _u13425, _u13426, _u13427, _u13428) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13425), _u13429)) | ( hAPP(hAPP(_u13428, _u13430), _u13429) = _u13427) )).
% 12.32/12.57 cnf(matrix-6065, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13434)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13435)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13432), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13434)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13435))) | hBOOL(hAPP(hAPP(c_member(_u13433), skolem283(_u13436, _u13435, _u13434, _u13433, _u13432)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435))) )).
% 12.32/12.57 cnf(matrix-6066, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13434)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13433), _u13435)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13433, tc_HOL_Obool)), _u13434), _u13435)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13432), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13434)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13432, _u13433, c_Groups_Otimes__class_Otimes(_u13432)), _u13436), c_Groups_Oone__class_Oone(_u13432)), _u13435))) | ( hAPP(_u13436, skolem283(_u13436, _u13435, _u13434, _u13433, _u13432)) != c_Groups_Oone__class_Oone(_u13432)) )).
% 12.32/12.57 cnf(matrix-6067, plain, ( ~c_Fun_Oinj__on(_u13437, _u13438, _u13439, c_Orderings_Otop__class_Otop(tc_fun(_u13437, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13437, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13437, _u13438, _u13439), hAPP(hAPP(c_Set_Oinsert(_u13438), _u13440), c_Orderings_Obot__class_Obot(tc_fun(_u13438, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u13437), c_HOL_OThe(_u13437, hAPP(hAPP(c_COMBC(_u13437, _u13438, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13438, tc_fun(_u13438, tc_HOL_Obool), _u13437), c_fequal), _u13439)), _u13440))), c_Orderings_Obot__class_Obot(tc_fun(_u13437, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-6068, plain, ( ( hAPP(_u13441, _u13442) != _u13443) | ~hBOOL(hAPP(hAPP(c_member(_u13444), _u13443), _u13445)) | hBOOL(hAPP(hAPP(c_member(_u13446), _u13442), hAPP(c_Set_Ovimage(_u13446, _u13444, _u13441), _u13445))) )).
% 12.32/12.57 cnf(matrix-6069, plain, ( ( hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13448, tc_HOL_Obool)), _u13450), _u13451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13447, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), _u13450)), hAPP(c_Set_Ovimage(_u13447, _u13448, _u13449), _u13451))) )).
% 12.32/12.57 cnf(matrix-6070, plain, ( ( hAPP(c_Set_Ovimage(_u13452, _u13453, _u13454), c_Orderings_Otop__class_Otop(tc_fun(_u13453, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13452, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6071, plain, ( ( hAPP(c_Set_Ovimage(_u13455, _u13456, hAPP(c_Fun_Ocomp(_u13457, _u13456, _u13455, _u13458), _u13459)), _u13460) = hAPP(c_Set_Ovimage(_u13455, _u13457, _u13459), hAPP(c_Set_Ovimage(_u13457, _u13456, _u13458), _u13460))) )).
% 12.32/12.57 cnf(matrix-6072, plain, ( ( hAPP(c_Set_Ovimage(_u13461, _u13462, _u13463), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13464, tc_fun(_u13462, tc_HOL_Obool)), _u13465), _u13466)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13464, tc_fun(_u13461, tc_HOL_Obool)), _u13465), hAPP(hAPP(c_COMBB(tc_fun(_u13462, tc_HOL_Obool), tc_fun(_u13461, tc_HOL_Obool), _u13464), c_Set_Ovimage(_u13461, _u13462, _u13463)), _u13466))) )).
% 12.32/12.57 cnf(matrix-6073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13467, tc_HOL_Obool)), _u13468), _u13469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13470, _u13467, _u13471), _u13468)), hAPP(c_Set_Ovimage(_u13470, _u13467, _u13471), _u13469))) )).
% 12.32/12.57 cnf(matrix-6074, plain, ( hBOOL(hAPP(_u13483, hAPP(_u13481, _u13485))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13477, _u13479, _u13481), _u13483), _u13485)) )).
% 12.32/12.57 cnf(matrix-6075, plain, ( ~hBOOL(hAPP(_u13484, hAPP(_u13482, _u13486))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13478, _u13480, _u13482), _u13484), _u13486)) )).
% 12.32/12.57 cnf(matrix-6076, plain, ( ( hAPP(c_Set_Ovimage(_u13487, _u13488, _u13489), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13488, tc_HOL_Obool)), _u13490)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13487, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13487, _u13488, _u13489), _u13490))) )).
% 12.32/12.57 cnf(matrix-6077, plain, ( ( hAPP(c_Set_Ovimage(_u13491, _u13491, c_COMBI(_u13491)), _u13492) = _u13492) )).
% 12.32/12.57 cnf(matrix-6078, plain, ( ( hAPP(c_Set_Ovimage(_u13493, _u13494, _u13495), c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13493, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6079, plain, ( ( hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13497, tc_HOL_Obool)), _u13499), _u13500)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13496, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), _u13499)), hAPP(c_Set_Ovimage(_u13496, _u13497, _u13498), _u13500))) )).
% 12.32/12.57 cnf(matrix-6080, plain, ( hBOOL(hAPP(hAPP(c_member(_u13510), hAPP(_u13512, _u13508)), _u13514)) | ~hBOOL(hAPP(hAPP(c_member(_u13506), _u13508), hAPP(c_Set_Ovimage(_u13506, _u13510, _u13512), _u13514))) )).
% 12.32/12.57 cnf(matrix-6081, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13511), hAPP(_u13513, _u13509)), _u13515)) | hBOOL(hAPP(hAPP(c_member(_u13507), _u13509), hAPP(c_Set_Ovimage(_u13507, _u13511, _u13513), _u13515))) )).
% 12.32/12.57 cnf(matrix-6082, plain, ( hBOOL(hAPP(hAPP(c_member(_u13518), hAPP(_u13519, _u13517)), _u13520)) | ~hBOOL(hAPP(hAPP(c_member(_u13516), _u13517), hAPP(c_Set_Ovimage(_u13516, _u13518, _u13519), _u13520))) )).
% 12.32/12.57 cnf(matrix-6083, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13521), hAPP(_u13522, _u13523)), _u13524)) | hBOOL(hAPP(hAPP(c_member(_u13525), _u13523), hAPP(c_Set_Ovimage(_u13525, _u13521, _u13522), _u13524))) )).
% 12.32/12.57 cnf(matrix-6084, plain, ( ( hAPP(c_Set_Oimage(_u13526, _u13527, _u13528), c_Orderings_Otop__class_Otop(tc_fun(_u13526, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13527, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13526, _u13527, _u13528), hAPP(c_Set_Ovimage(_u13526, _u13527, _u13528), _u13529)) = _u13529) )).
% 12.32/12.57 cnf(matrix-6085, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13530, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13531, _u13530, _u13532), hAPP(c_Set_Ovimage(_u13531, _u13530, _u13532), _u13533))), _u13533)) )).
% 12.32/12.57 cnf(matrix-6086, plain, ( ( hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13535, tc_HOL_Obool)), _u13537), _u13538)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13534, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), _u13537)), hAPP(c_Set_Ovimage(_u13534, _u13535, _u13536), _u13538))) )).
% 12.32/12.57 cnf(matrix-6087, plain, ( ( hAPP(_u13550, _u13546) = _u13552) | ~hBOOL(hAPP(hAPP(c_member(_u13544), _u13546), hAPP(c_Set_Ovimage(_u13544, _u13548, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13548), _u13552), c_Orderings_Obot__class_Obot(tc_fun(_u13548, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-6088, plain, ( ( hAPP(_u13551, _u13547) != _u13553) | hBOOL(hAPP(hAPP(c_member(_u13545), _u13547), hAPP(c_Set_Ovimage(_u13545, _u13549, _u13551), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13553), c_Orderings_Obot__class_Obot(tc_fun(_u13549, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-6089, plain, ( ( hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), hAPP(hAPP(c_Set_Oinsert(_u13555), _u13557), _u13558)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13554, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), hAPP(hAPP(c_Set_Oinsert(_u13555), _u13557), c_Orderings_Obot__class_Obot(tc_fun(_u13555, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13554, _u13555, _u13556), _u13558))) )).
% 12.32/12.57 cnf(matrix-6090, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13559), hAPP(c_Set_Ovimage(_u13559, _u13560, _u13561), _u13562))) | ( hAPP(c_Set_Oimage(_u13559, _u13560, _u13561), c_Orderings_Otop__class_Otop(tc_fun(_u13559, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13560, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13560), _u13562)) )).
% 12.32/12.57 cnf(matrix-6091, plain, ( ( hAPP(c_Set_Oimage(_u13563, _u13564, _u13565), c_Orderings_Otop__class_Otop(tc_fun(_u13563, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13564, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13563, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13563, _u13564, _u13565), _u13566)), _u13567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13564, tc_HOL_Obool)), _u13566), hAPP(c_Set_Oimage(_u13563, _u13564, _u13565), _u13567))) )).
% 12.32/12.57 cnf(matrix-6092, plain, ( ( hAPP(c_Set_Oimage(_u13568, _u13569, _u13570), hAPP(c_Set_Ovimage(_u13568, _u13569, _u13570), _u13571)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13569, tc_HOL_Obool)), _u13571), hAPP(c_Set_Oimage(_u13568, _u13569, _u13570), c_Orderings_Otop__class_Otop(tc_fun(_u13568, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-6093, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13572), _u13573)) | ~c_Fun_Oinj__on(_u13574, _u13572, _u13575, c_Orderings_Otop__class_Otop(tc_fun(_u13574, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13574), hAPP(c_Set_Ovimage(_u13574, _u13572, _u13575), _u13573))) )).
% 12.32/12.57 cnf(matrix-6094, plain, ( ~c_Fun_Oinj__on(_u13576, _u13577, _u13578, c_Orderings_Otop__class_Otop(tc_fun(_u13576, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13576, _u13577, _u13578), hAPP(c_Set_Oimage(_u13576, _u13577, _u13578), _u13579)) = _u13579) )).
% 12.32/12.57 cnf(matrix-6095, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13584), _u13586), _u13588)) | ( hAPP(c_Set_Ovimage(_u13590, _u13584, hAPP(c_COMBK(_u13584, _u13590), _u13586)), _u13588) = c_Orderings_Otop__class_Otop(tc_fun(_u13590, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6096, plain, ( hBOOL(hAPP(hAPP(c_member(_u13585), _u13587), _u13589)) | ( hAPP(c_Set_Ovimage(_u13591, _u13585, hAPP(c_COMBK(_u13585, _u13591), _u13587)), _u13589) = c_Orderings_Obot__class_Obot(tc_fun(_u13591, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6097, plain, ( ( hAPP(c_Set_Ovimage(_u13592, _u13593, _u13594), _u13595) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13593, tc_fun(_u13592, tc_HOL_Obool)), _u13595), hAPP(hAPP(c_COMBB(tc_fun(_u13593, tc_HOL_Obool), tc_fun(_u13592, tc_HOL_Obool), _u13593), c_Set_Ovimage(_u13592, _u13593, _u13594)), hAPP(hAPP(c_COMBC(_u13593, tc_fun(_u13593, tc_HOL_Obool), tc_fun(_u13593, tc_HOL_Obool)), c_Set_Oinsert(_u13593)), c_Orderings_Obot__class_Obot(tc_fun(_u13593, tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-6098, plain, ( ~c_Fun_Oinj__on(_u13596, _u13597, _u13598, c_Orderings_Otop__class_Otop(tc_fun(_u13596, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13597, tc_HOL_Obool)), _u13599), hAPP(c_Set_Oimage(_u13596, _u13597, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13596, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13596, _u13597, _u13598), _u13599)), _u13600)) )).
% 12.32/12.57 cnf(matrix-6099, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13609), _u13611)) | ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13613), _u13611)) | ( hAPP(c_Set_Ovimage(_u13615, _u13607, hAPP(hAPP(c_COMBC(_u13615, _u13607, _u13607), hAPP(hAPP(c_COMBC(_u13615, _u13607, tc_fun(_u13607, _u13607)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13607, tc_fun(_u13607, _u13607)), _u13615), c_If(_u13607)), hAPP(hAPP(c_COMBC(_u13615, tc_fun(_u13615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13615)), _u13617))), _u13609)), _u13613)), _u13611) = c_Orderings_Otop__class_Otop(tc_fun(_u13615, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6100, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13607), _u13609), _u13611)) | hBOOL(hAPP(hAPP(c_member(_u13607), _u13613), _u13611)) | ( hAPP(c_Set_Ovimage(_u13615, _u13607, hAPP(hAPP(c_COMBC(_u13615, _u13607, _u13607), hAPP(hAPP(c_COMBC(_u13615, _u13607, tc_fun(_u13607, _u13607)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13607, tc_fun(_u13607, _u13607)), _u13615), c_If(_u13607)), hAPP(hAPP(c_COMBC(_u13615, tc_fun(_u13615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13615)), _u13617))), _u13609)), _u13613)), _u13611) = _u13617) )).
% 12.32/12.57 cnf(matrix-6101, plain, ( hBOOL(hAPP(hAPP(c_member(_u13608), _u13610), _u13612)) | ~hBOOL(hAPP(hAPP(c_member(_u13608), _u13614), _u13612)) | ( hAPP(c_Set_Ovimage(_u13616, _u13608, hAPP(hAPP(c_COMBC(_u13616, _u13608, _u13608), hAPP(hAPP(c_COMBC(_u13616, _u13608, tc_fun(_u13608, _u13608)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13608, tc_fun(_u13608, _u13608)), _u13616), c_If(_u13608)), hAPP(hAPP(c_COMBC(_u13616, tc_fun(_u13616, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13616)), _u13618))), _u13610)), _u13614)), _u13612) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13616, tc_HOL_Obool)), _u13618)) )).
% 12.32/12.57 cnf(matrix-6102, plain, ( hBOOL(hAPP(hAPP(c_member(_u13608), _u13610), _u13612)) | hBOOL(hAPP(hAPP(c_member(_u13608), _u13614), _u13612)) | ( hAPP(c_Set_Ovimage(_u13616, _u13608, hAPP(hAPP(c_COMBC(_u13616, _u13608, _u13608), hAPP(hAPP(c_COMBC(_u13616, _u13608, tc_fun(_u13608, _u13608)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13608, tc_fun(_u13608, _u13608)), _u13616), c_If(_u13608)), hAPP(hAPP(c_COMBC(_u13616, tc_fun(_u13616, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13616)), _u13618))), _u13610)), _u13614)), _u13612) = c_Orderings_Obot__class_Obot(tc_fun(_u13616, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6103, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13620), _u13624)) | ( hAPP(hAPP(_u13623, _u13625), _u13624) = _u13622) | ~c_Big__Operators_Ocomm__monoid__big(_u13619, _u13620, _u13621, _u13622, _u13623) )).
% 12.32/12.57 cnf(matrix-6104, plain, ( ~class_Lattices_Olattice(_u13628) | ( hAPP(_u13629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13628), skolem284(_u13630, _u13629, _u13628)), skolem285(_u13630, _u13629, _u13628))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13628), hAPP(_u13629, skolem284(_u13630, _u13629, _u13628))), hAPP(_u13629, skolem285(_u13630, _u13629, _u13628)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13628), _u13630)) | ( _u13630 = c_Orderings_Obot__class_Obot(tc_fun(_u13628, tc_HOL_Obool))) | ( hAPP(_u13629, c_Big__Operators_Olattice__class_OInf__fin(_u13628, _u13630)) = c_Big__Operators_Olattice__class_OInf__fin(_u13628, hAPP(c_Set_Oimage(_u13628, _u13628, _u13629), _u13630))) )).
% 12.32/12.57 cnf(matrix-6105, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13632), _u13633), hAPP(c_Relation_OImage(_u13634, _u13632, _u13635), _u13636))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13634, _u13632)), hAPP(hAPP(c_Product__Type_OPair(_u13634, _u13632), skolem286(_u13636, _u13635, _u13634, _u13633, _u13632)), _u13633)), _u13635)) )).
% 12.32/12.57 cnf(matrix-6106, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13632), _u13633), hAPP(c_Relation_OImage(_u13634, _u13632, _u13635), _u13636))) | hBOOL(hAPP(hAPP(c_member(_u13634), skolem286(_u13636, _u13635, _u13634, _u13633, _u13632)), _u13636)) )).
% 12.32/12.57 cnf(matrix-6107, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13638) | ~c_Fun_Oinj__on(_u13639, _u13640, _u13641, _u13642) | ( _u13643 != hAPP(c_Set_Oimage(_u13639, _u13640, _u13641), _u13642)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13640, _u13638), _u13645), _u13643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13639, _u13638), _u13644), _u13642)) | hBOOL(hAPP(hAPP(c_member(_u13639), skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638)), _u13642)) )).
% 12.32/12.57 cnf(matrix-6108, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13638) | ~c_Fun_Oinj__on(_u13639, _u13640, _u13641, _u13642) | ( _u13643 != hAPP(c_Set_Oimage(_u13639, _u13640, _u13641), _u13642)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13640, _u13638), _u13645), _u13643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13639, _u13638), _u13644), _u13642)) | ( hAPP(_u13644, skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638)) != hAPP(hAPP(c_Fun_Ocomp(_u13640, _u13638, _u13639, _u13645), _u13641), skolem287(_u13645, _u13644, _u13643, _u13642, _u13641, _u13640, _u13639, _u13638))) )).
% 12.32/12.57 cnf(matrix-6109, plain, ( ~class_Groups_Ocomm__monoid__add(_u13647) | ~class_Groups_Ocomm__monoid__mult(_u13647) | ( _u13648 != _u13649) | ~c_Nat__Transfer_Onat__set(_u13649) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13650), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13651), _u13649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem288(_u13651, _u13650, _u13649, _u13648, _u13647))) )).
% 12.32/12.57 cnf(matrix-6110, plain, ( ~class_Groups_Ocomm__monoid__add(_u13647) | ~class_Groups_Ocomm__monoid__mult(_u13647) | ( _u13648 != _u13649) | ~c_Nat__Transfer_Onat__set(_u13649) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13650), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u13647), _u13651), _u13649)) | ( hAPP(_u13650, skolem288(_u13651, _u13650, _u13649, _u13648, _u13647)) != hAPP(_u13651, skolem288(_u13651, _u13650, _u13649, _u13648, _u13647))) )).
% 12.32/12.57 cnf(matrix-6111, plain, ( ( c_Map_Odom(_u13658, _u13660, _u13662) != hAPP(hAPP(c_Set_Oinsert(_u13658), _u13664), c_Orderings_Obot__class_Obot(tc_fun(_u13658, tc_HOL_Obool)))) | ( _u13662 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13658, tc_Option_Ooption(_u13660)), hAPP(c_COMBK(tc_Option_Ooption(_u13660), _u13658), c_Option_Ooption_ONone(_u13660))), _u13664), hAPP(c_Option_Ooption_OSome(_u13660), skolem289(_u13664, _u13662, _u13660, _u13658)))) )).
% 12.32/12.57 cnf(matrix-6112, plain, ( ( _u13663 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13659, tc_Option_Ooption(_u13661)), hAPP(c_COMBK(tc_Option_Ooption(_u13661), _u13659), c_Option_Ooption_ONone(_u13661))), _u13665), hAPP(c_Option_Ooption_OSome(_u13661), _u13653))) | ( c_Map_Odom(_u13659, _u13661, _u13663) = hAPP(hAPP(c_Set_Oinsert(_u13659), _u13665), c_Orderings_Obot__class_Obot(tc_fun(_u13659, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6113, plain, ( ~class_Groups_Oab__semigroup__mult(_u13666) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13666, _u13666, c_Groups_Otimes__class_Otimes(_u13666), _u13667, _u13668), _u13669)) | ~hBOOL(hAPP(hAPP(c_member(_u13666), _u13670), _u13668)) | hBOOL(hAPP(hAPP(c_member(_u13666), _u13667), _u13668)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13666, _u13666, c_Groups_Otimes__class_Otimes(_u13666), _u13670, hAPP(hAPP(c_Set_Oinsert(_u13666), _u13667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13666, tc_HOL_Obool)), _u13668), hAPP(hAPP(c_Set_Oinsert(_u13666), _u13670), c_Orderings_Obot__class_Obot(tc_fun(_u13666, tc_HOL_Obool)))))), _u13669)) )).
% 12.32/12.57 cnf(matrix-6114, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13671, _u13672, _u13673, _u13674, c_Orderings_Obot__class_Obot(tc_fun(_u13671, tc_HOL_Obool))), _u13674)) )).
% 12.32/12.57 cnf(matrix-6115, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13675, _u13676, _u13677, _u13678, c_Orderings_Obot__class_Obot(tc_fun(_u13675, tc_HOL_Obool))), _u13678)) )).
% 12.32/12.57 cnf(matrix-6116, plain, ( ( _u13683 = _u13682) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13679, _u13680, _u13681, _u13682, c_Orderings_Obot__class_Obot(tc_fun(_u13679, tc_HOL_Obool))), _u13683)) )).
% 12.32/12.57 cnf(matrix-6117, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody))) )).
% 12.32/12.57 cnf(matrix-6118, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13684, _u13685, _u13686, _u13687, _u13688), _u13689)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13684), _u13688)) )).
% 12.32/12.57 cnf(matrix-6119, plain, ( ( hAPP(_u13700, _u13696) != c_Option_Ooption_ONone(_u13698)) | ~hBOOL(hAPP(hAPP(c_member(_u13694), _u13696), c_Map_Odom(_u13694, _u13698, _u13700))) )).
% 12.32/12.57 cnf(matrix-6120, plain, ( ( hAPP(_u13701, _u13697) = c_Option_Ooption_ONone(_u13699)) | hBOOL(hAPP(hAPP(c_member(_u13695), _u13697), c_Map_Odom(_u13695, _u13699, _u13701))) )).
% 12.32/12.57 cnf(matrix-6121, plain, ( ( hAPP(_u13702, _u13703) != hAPP(c_Option_Ooption_OSome(_u13704), _u13705)) | hBOOL(hAPP(hAPP(c_member(_u13706), _u13703), c_Map_Odom(_u13706, _u13704, _u13702))) )).
% 12.32/12.57 cnf(matrix-6122, plain, ( ( hAPP(_u13707, _u13708) != hAPP(c_Option_Ooption_OSome(_u13709), _u13710)) | ( hAPP(hAPP(c_Set_Oinsert(_u13711), _u13708), c_Map_Odom(_u13711, _u13709, _u13707)) = c_Map_Odom(_u13711, _u13709, _u13707)) )).
% 12.32/12.57 cnf(matrix-6123, plain, ( ( c_Map_Odom(_u13712, _u13713, c_Map_Orestrict__map(_u13712, _u13713, _u13714, _u13715)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13712, tc_HOL_Obool)), c_Map_Odom(_u13712, _u13713, _u13714)), _u13715)) )).
% 12.32/12.57 cnf(matrix-6124, plain, ( hBOOL(hAPP(hAPP(c_member(_u13716), _u13717), _u13718)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13716, _u13719, _u13720, _u13721, _u13718), _u13722)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13716, _u13719, _u13720, _u13721, hAPP(hAPP(c_Set_Oinsert(_u13716), _u13717), _u13718)), hAPP(hAPP(_u13720, _u13717), _u13722))) )).
% 12.32/12.57 cnf(matrix-6125, plain, ( ( c_Map_Odom(_u13726, _u13728, _u13730) != c_Orderings_Obot__class_Obot(tc_fun(_u13726, tc_HOL_Obool))) | ( _u13730 = hAPP(c_COMBK(tc_Option_Ooption(_u13728), _u13726), c_Option_Ooption_ONone(_u13728))) )).
% 12.32/12.57 cnf(matrix-6126, plain, ( ( _u13731 != hAPP(c_COMBK(tc_Option_Ooption(_u13729), _u13727), c_Option_Ooption_ONone(_u13729))) | ( c_Map_Odom(_u13727, _u13729, _u13731) = c_Orderings_Obot__class_Obot(tc_fun(_u13727, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6127, plain, ( ( c_Map_Odom(_u13732, _u13733, hAPP(c_COMBK(tc_Option_Ooption(_u13733), _u13732), c_Option_Ooption_ONone(_u13733))) = c_Orderings_Obot__class_Obot(tc_fun(_u13732, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6128, plain, ( ( c_Map_Odom(_u13734, _u13735, hAPP(hAPP(c_COMBB(_u13735, tc_Option_Ooption(_u13735), _u13734), c_Option_Ooption_OSome(_u13735)), _u13736)) = c_Orderings_Otop__class_Otop(tc_fun(_u13734, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6129, plain, ( ( hAPP(_u13737, _u13738) != c_Option_Ooption_ONone(_u13739)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13740, tc_HOL_Obool)), c_Map_Odom(_u13740, _u13739, _u13737)), hAPP(hAPP(c_Set_Oinsert(_u13740), _u13738), _u13741)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13740, tc_HOL_Obool)), c_Map_Odom(_u13740, _u13739, _u13737)), _u13741)) )).
% 12.32/12.57 cnf(matrix-6130, plain, ( ~class_Groups_Oab__semigroup__mult(_u13742) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13742, _u13742, c_Groups_Otimes__class_Otimes(_u13742), _u13743, _u13744), _u13745)) | hBOOL(hAPP(hAPP(c_member(_u13742), _u13743), _u13744)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13742, _u13742, c_Groups_Otimes__class_Otimes(_u13742), _u13746, hAPP(hAPP(c_Set_Oinsert(_u13742), _u13743), _u13744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13742), _u13746), _u13745))) )).
% 12.32/12.57 cnf(matrix-6131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13747, _u13748, _u13749, _u13750, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13747, tc_HOL_Obool)), _u13751), hAPP(hAPP(c_Set_Oinsert(_u13747), _u13752), c_Orderings_Obot__class_Obot(tc_fun(_u13747, tc_HOL_Obool))))), _u13753)) | ~hBOOL(hAPP(hAPP(c_member(_u13747), _u13752), _u13751)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13747, _u13748, _u13749, _u13750, _u13751), hAPP(hAPP(_u13749, _u13752), _u13753))) )).
% 12.32/12.57 cnf(matrix-6132, plain, ( ( _u13759 != c_Option_Ooption_ONone(_u13761)) | ( c_Map_Odom(_u13763, _u13761, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13763, tc_Option_Ooption(_u13761)), _u13765), _u13767), _u13759)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13763, tc_HOL_Obool)), c_Map_Odom(_u13763, _u13761, _u13765)), hAPP(hAPP(c_Set_Oinsert(_u13763), _u13767), c_Orderings_Obot__class_Obot(tc_fun(_u13763, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-6133, plain, ( ( _u13760 = c_Option_Ooption_ONone(_u13762)) | ( c_Map_Odom(_u13764, _u13762, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13764, tc_Option_Ooption(_u13762)), _u13766), _u13768), _u13760)) = hAPP(hAPP(c_Set_Oinsert(_u13764), _u13768), c_Map_Odom(_u13764, _u13762, _u13766))) )).
% 12.32/12.57 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13769, _u13769, _u13770, _u13771, _u13772), _u13773)) | hBOOL(hAPP(hAPP(c_member(_u13769), _u13771), _u13772)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13769, _u13770, hAPP(hAPP(c_Set_Oinsert(_u13769), _u13771), _u13772)), _u13773)) )).
% 12.32/12.57 cnf(matrix-6135, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13775), _u13776), c_Map_Oran(_u13777, _u13775, c_Map_Orestrict__map(_u13777, _u13775, _u13778, _u13779)))) | hBOOL(hAPP(hAPP(c_member(_u13777), skolem290(_u13779, _u13778, _u13777, _u13776, _u13775)), _u13779)) )).
% 12.32/12.57 cnf(matrix-6136, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13775), _u13776), c_Map_Oran(_u13777, _u13775, c_Map_Orestrict__map(_u13777, _u13775, _u13778, _u13779)))) | ( hAPP(_u13778, skolem290(_u13779, _u13778, _u13777, _u13776, _u13775)) = hAPP(c_Option_Ooption_OSome(_u13775), _u13776)) )).
% 12.32/12.57 cnf(matrix-6137, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13783, hAPP(hAPP(c_COMBC(_u13783, tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_fun(_u13783, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13783, tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_fun(_u13783, tc_HOL_Obool)), _u13783), c_COMBC(_u13783, tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13783, tc_prod(_u13783, _u13783)), tc_fun(_u13783, tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool)), _u13783), hAPP(c_COMBB(tc_prod(_u13783, _u13783), tc_fun(tc_fun(tc_prod(_u13783, _u13783), tc_HOL_Obool), tc_HOL_Obool), _u13783), c_member(tc_prod(_u13783, _u13783)))), c_Product__Type_OPair(_u13783, _u13783)))), _u13785)), _u13787)) | hBOOL(hAPP(hAPP(c_member(_u13783), _u13787), c_Wellfounded_Oacc(_u13783, _u13785))) )).
% 12.32/12.57 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13784), _u13788), c_Wellfounded_Oacc(_u13784, _u13786))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13784, hAPP(hAPP(c_COMBC(_u13784, tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_fun(_u13784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13784, tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_fun(_u13784, tc_HOL_Obool)), _u13784), c_COMBC(_u13784, tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13784, tc_prod(_u13784, _u13784)), tc_fun(_u13784, tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool)), _u13784), hAPP(c_COMBB(tc_prod(_u13784, _u13784), tc_fun(tc_fun(tc_prod(_u13784, _u13784), tc_HOL_Obool), tc_HOL_Obool), _u13784), c_member(tc_prod(_u13784, _u13784)))), c_Product__Type_OPair(_u13784, _u13784)))), _u13786)), _u13788)) )).
% 12.32/12.57 cnf(matrix-6139, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13789, _u13790, _u13791), _u13792)) | ( _u13791 != c_Orderings_Obot__class_Obot(tc_fun(_u13789, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6140, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13793, _u13794, c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool))), _u13795)) )).
% 12.32/12.57 cnf(matrix-6141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13796, _u13796), tc_HOL_Obool)), _u13797), _u13798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13796, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13796, _u13798)), c_Wellfounded_Oacc(_u13796, _u13797))) )).
% 12.32/12.57 cnf(matrix-6142, plain, ( ( _u13807 = _u13809) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13803, _u13805, hAPP(hAPP(c_Set_Oinsert(_u13803), _u13807), c_Orderings_Obot__class_Obot(tc_fun(_u13803, tc_HOL_Obool)))), _u13809)) )).
% 12.32/12.57 cnf(matrix-6143, plain, ( ( _u13808 != _u13810) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13804, _u13806, hAPP(hAPP(c_Set_Oinsert(_u13804), _u13808), c_Orderings_Obot__class_Obot(tc_fun(_u13804, tc_HOL_Obool)))), _u13810)) )).
% 12.32/12.57 cnf(matrix-6144, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13816), _u13818), c_Wellfounded_Oacc(_u13816, _u13820))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13816, _u13816)), hAPP(hAPP(c_Product__Type_OPair(_u13816, _u13816), _u13811), _u13818)), _u13820)) | hBOOL(hAPP(hAPP(c_member(_u13816), _u13811), c_Wellfounded_Oacc(_u13816, _u13820))) )).
% 12.32/12.57 cnf(matrix-6145, plain, ( hBOOL(hAPP(hAPP(c_member(_u13817), _u13819), c_Wellfounded_Oacc(_u13817, _u13821))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), skolem291(_u13821, _u13819, _u13817)), _u13819)), _u13821)) )).
% 12.32/12.57 cnf(matrix-6146, plain, ( hBOOL(hAPP(hAPP(c_member(_u13817), _u13819), c_Wellfounded_Oacc(_u13817, _u13821))) | ~hBOOL(hAPP(hAPP(c_member(_u13817), skolem291(_u13821, _u13819, _u13817)), c_Wellfounded_Oacc(_u13817, _u13821))) )).
% 12.32/12.57 cnf(matrix-6147, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13822), _u13823), c_Wellfounded_Oacc(_u13822, _u13824))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13825), _u13823)), _u13824)) | hBOOL(hAPP(hAPP(c_member(_u13822), _u13825), c_Wellfounded_Oacc(_u13822, _u13824))) )).
% 12.32/12.57 cnf(matrix-6148, plain, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13834), _u13838)) )).
% 12.32/12.57 cnf(matrix-6149, plain, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13834), _u13840)) )).
% 12.32/12.57 cnf(matrix-6150, plain, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ( _u13840 != c_Orderings_Obot__class_Obot(tc_fun(_u13834, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6151, plain, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ~hBOOL(hAPP(hAPP(c_member(_u13834), _u13827), _u13838)) | hBOOL(hAPP(hAPP(c_member(_u13834), skolem292(_u13840, _u13838, _u13836, _u13834, _u13827)), _u13840)) )).
% 12.32/12.57 cnf(matrix-6152, plain, ( ~c_Wellfounded_Omax__extp(_u13834, _u13836, _u13838, _u13840) | ~hBOOL(hAPP(hAPP(c_member(_u13834), _u13827), _u13838)) | hBOOL(hAPP(hAPP(_u13836, _u13827), skolem292(_u13840, _u13838, _u13836, _u13834, _u13827))) )).
% 12.32/12.57 cnf(matrix-6153, plain, ( c_Wellfounded_Omax__extp(_u13835, _u13837, _u13839, _u13841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13839)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13841)) | ( _u13841 = c_Orderings_Obot__class_Obot(tc_fun(_u13835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13835), skolem293(_u13841, _u13839, _u13837, _u13835)), _u13839)) )).
% 12.32/12.57 cnf(matrix-6154, plain, ( c_Wellfounded_Omax__extp(_u13835, _u13837, _u13839, _u13841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13839)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13835), _u13841)) | ( _u13841 = c_Orderings_Obot__class_Obot(tc_fun(_u13835, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13835), _u13828), _u13841)) | ~hBOOL(hAPP(hAPP(_u13837, skolem293(_u13841, _u13839, _u13837, _u13835)), _u13828)) )).
% 12.32/12.57 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13846)) | ( _u13846 = c_Orderings_Obot__class_Obot(tc_fun(_u13844, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool)), _u13845), _u13846)), c_Wellfounded_Omax__ext(_u13844, _u13847))) | hBOOL(hAPP(hAPP(c_member(_u13844), skolem294(_u13847, _u13846, _u13845, _u13844)), _u13845)) )).
% 12.32/12.57 cnf(matrix-6156, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13846)) | ( _u13846 = c_Orderings_Obot__class_Obot(tc_fun(_u13844, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13844, tc_HOL_Obool), tc_fun(_u13844, tc_HOL_Obool)), _u13845), _u13846)), c_Wellfounded_Omax__ext(_u13844, _u13847))) | ~hBOOL(hAPP(hAPP(c_member(_u13844), _u13842), _u13846)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), skolem294(_u13847, _u13846, _u13845, _u13844)), _u13842)), _u13847)) )).
% 12.32/12.57 cnf(matrix-6157, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13854)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13855)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u13854, skolem295(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850)), skolem296(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850))) )).
% 12.32/12.57 cnf(matrix-6158, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13854)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13850, _u13851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13850), _u13852), _u13853), _u13855)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13850), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u13855, skolem295(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850)), skolem296(_u13855, _u13854, _u13853, _u13852, _u13851, _u13850))) )).
% 12.32/12.57 cnf(matrix-6159, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13860), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13863), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u13863, skolem297(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858)), skolem298(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858))) )).
% 12.32/12.57 cnf(matrix-6160, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13860), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13858, _u13859, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13858)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13858), _u13863), _u13861), _u13862)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13858), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u13860, skolem297(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858)), skolem298(_u13863, _u13862, _u13861, _u13860, _u13859, _u13858))) )).
% 12.32/12.57 cnf(matrix-6161, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | ( hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879) = hAPP(hAPP(c_Set_Oinsert(_u13873), skolem299(_u13881, _u13879, _u13877, _u13875, _u13873)), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873))) )).
% 12.32/12.57 cnf(matrix-6162, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13873, _u13873, _u13875, skolem299(_u13881, _u13879, _u13877, _u13875, _u13873), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873)), _u13881)) )).
% 12.32/12.57 cnf(matrix-6163, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13873, _u13875, hAPP(hAPP(c_Set_Oinsert(_u13873), _u13877), _u13879)), _u13881)) | ~hBOOL(hAPP(hAPP(c_member(_u13873), skolem299(_u13881, _u13879, _u13877, _u13875, _u13873)), skolem300(_u13881, _u13879, _u13877, _u13875, _u13873))) )).
% 12.32/12.57 cnf(matrix-6164, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13874), _u13878), _u13880) != hAPP(hAPP(c_Set_Oinsert(_u13874), _u13867), _u13866)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13874, _u13874, _u13876, _u13867, _u13866), _u13882)) | hBOOL(hAPP(hAPP(c_member(_u13874), _u13867), _u13866)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13874, _u13876, hAPP(hAPP(c_Set_Oinsert(_u13874), _u13878), _u13880)), _u13882)) )).
% 12.32/12.57 cnf(matrix-6165, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | ( hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888) = hAPP(hAPP(c_Set_Oinsert(_u13885), skolem301(_u13889, _u13888, _u13887, _u13886, _u13885)), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885))) )).
% 12.32/12.57 cnf(matrix-6166, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13885, _u13885, _u13886, skolem301(_u13889, _u13888, _u13887, _u13886, _u13885), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885)), _u13889)) )).
% 12.32/12.57 cnf(matrix-6167, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13885, _u13886, hAPP(hAPP(c_Set_Oinsert(_u13885), _u13887), _u13888)), _u13889)) | ~hBOOL(hAPP(hAPP(c_member(_u13885), skolem301(_u13889, _u13888, _u13887, _u13886, _u13885)), skolem302(_u13889, _u13888, _u13887, _u13886, _u13885))) )).
% 12.32/12.57 cnf(matrix-6168, plain, ( ( hAPP(c_Set_Oimage(_u13890, tc_prod(_u13891, _u13892), hAPP(hAPP(c_COMBS(_u13890, _u13892, tc_prod(_u13891, _u13892)), hAPP(hAPP(c_COMBB(_u13891, tc_fun(_u13892, tc_prod(_u13891, _u13892)), _u13890), c_Product__Type_OPair(_u13891, _u13892)), _u13893)), _u13894)), _u13895) = hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13892), hAPP(c_Set_Oimage(_u13890, _u13891, _u13893), _u13895)), hAPP(hAPP(c_COMBB(tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13892, tc_HOL_Obool), _u13891), c_Set_Oimage(_u13890, _u13892, _u13894)), hAPP(hAPP(c_COMBC(_u13891, tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13890, tc_HOL_Obool), tc_fun(tc_fun(_u13890, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool)), _u13891), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13890, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13891, tc_HOL_Obool), tc_fun(_u13890, tc_HOL_Obool), _u13891), c_Set_Ovimage(_u13890, _u13891, _u13893)), hAPP(hAPP(c_COMBC(_u13891, tc_fun(_u13891, tc_HOL_Obool), tc_fun(_u13891, tc_HOL_Obool)), c_Set_Oinsert(_u13891)), c_Orderings_Obot__class_Obot(tc_fun(_u13891, tc_HOL_Obool)))))), _u13895)))) )).
% 12.32/12.57 cnf(matrix-6169, plain, ( ~class_Groups_Oab__semigroup__mult(_u13896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13897)) | ( _u13897 = c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13898)) | ( _u13898 = c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13896, tc_HOL_Obool)), _u13897), _u13898) != c_Orderings_Obot__class_Obot(tc_fun(_u13896, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13896, tc_HOL_Obool)), _u13897), _u13898)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13896), hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), _u13897)), hAPP(c_Finite__Set_Ofold1(_u13896, c_Groups_Otimes__class_Otimes(_u13896)), _u13898))) )).
% 12.32/12.57 cnf(matrix-6170, plain, ( ~class_Orderings_Olinorder(_u13899) | ( _u13900 = c_Orderings_Obot__class_Obot(tc_fun(_u13899, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13899, tc_HOL_Obool)), _u13900), _u13901)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13899), _u13901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13899), hAPP(c_Finite__Set_Ofold1(_u13899, c_Orderings_Oord__class_Omin(_u13899)), _u13901)), hAPP(c_Finite__Set_Ofold1(_u13899, c_Orderings_Oord__class_Omin(_u13899)), _u13900))) )).
% 12.32/12.57 cnf(matrix-6171, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13902), _u13903), _u13904)) | ~hBOOL(hAPP(hAPP(c_member(_u13905), _u13906), hAPP(_u13907, _u13903))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13902, _u13905)), hAPP(hAPP(c_Product__Type_OPair(_u13902, _u13905), _u13903), _u13906)), hAPP(hAPP(c_Product__Type_OSigma(_u13902, _u13905), _u13904), _u13907))) )).
% 12.32/12.57 cnf(matrix-6172, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13908, _u13909), c_Orderings_Obot__class_Obot(tc_fun(_u13908, tc_HOL_Obool))), _u13910) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13908, _u13909), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6173, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13911), _u13912), _u13913)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13915), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913)) != hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13916), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913))) | ( _u13915 = _u13916) )).
% 12.32/12.57 cnf(matrix-6174, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13911), _u13912), _u13913)) | ( _u13915 != _u13916) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13915), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913)) = hAPP(hAPP(c_Product__Type_OSigma(_u13914, _u13911), _u13916), hAPP(c_COMBK(tc_fun(_u13911, tc_HOL_Obool), _u13914), _u13913))) )).
% 12.32/12.57 cnf(matrix-6175, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), hAPP(hAPP(c_COMBS(_u13917, tc_fun(_u13918, tc_HOL_Obool), tc_fun(_u13918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13918, tc_HOL_Obool), tc_fun(tc_fun(_u13918, tc_HOL_Obool), tc_fun(_u13918, tc_HOL_Obool)), _u13917), c_Groups_Ominus__class_Ominus(tc_fun(_u13918, tc_HOL_Obool))), _u13920)), _u13921)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13917, _u13918), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), _u13920)), hAPP(hAPP(c_Product__Type_OSigma(_u13917, _u13918), _u13919), _u13921))) )).
% 12.32/12.57 cnf(matrix-6176, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13922, tc_HOL_Obool)), _u13924), _u13925)), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13922, _u13923), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926))), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13925), hAPP(c_COMBK(tc_fun(_u13923, tc_HOL_Obool), _u13922), _u13926)))) )).
% 12.32/12.57 cnf(matrix-6177, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13927, tc_HOL_Obool)), _u13929), _u13930)), _u13931) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13927, _u13928), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13929), _u13931)), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13930), _u13931))) )).
% 12.32/12.57 cnf(matrix-6178, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13932, _u13933)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13934), hAPP(c_COMBK(tc_fun(_u13933, tc_HOL_Obool), _u13932), _u13935))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13932), _u13934)), hAPP(c_Finite__Set_Ocard(_u13933), _u13935))) )).
% 12.32/12.57 cnf(matrix-6179, plain, ( ~class_Groups_Ocomm__monoid__add(_u13936) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13937, _u13936), hAPP(hAPP(c_COMBC(_u13937, tc_fun(_u13938, tc_HOL_Obool), _u13936), hAPP(hAPP(c_COMBB(tc_fun(_u13938, _u13936), tc_fun(tc_fun(_u13938, tc_HOL_Obool), _u13936), _u13937), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13938, _u13936)), _u13939)), _u13940)), _u13941) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13937, _u13938), _u13936), hAPP(c_Product__Type_Oprod_Oprod__case(_u13937, _u13938, _u13936), _u13939)), hAPP(hAPP(c_Product__Type_OSigma(_u13937, _u13938), _u13941), hAPP(c_COMBK(tc_fun(_u13938, tc_HOL_Obool), _u13937), _u13940)))) )).
% 12.32/12.57 cnf(matrix-6180, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13942, _u13943), _u13944), hAPP(c_COMBK(tc_fun(_u13943, tc_HOL_Obool), _u13942), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13942, _u13943), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6181, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13949, _u13951), _u13953), hAPP(c_COMBK(tc_fun(_u13951, tc_HOL_Obool), _u13949), _u13955)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13949, _u13951), tc_HOL_Obool))) | ( _u13953 = c_Orderings_Obot__class_Obot(tc_fun(_u13949, tc_HOL_Obool))) | ( _u13955 = c_Orderings_Obot__class_Obot(tc_fun(_u13951, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6182, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13950, _u13952), _u13954), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13956)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13950, _u13952), tc_HOL_Obool))) | ( _u13954 != c_Orderings_Obot__class_Obot(tc_fun(_u13950, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6183, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13950, _u13952), _u13954), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13956)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13950, _u13952), tc_HOL_Obool))) | ( _u13956 != c_Orderings_Obot__class_Obot(tc_fun(_u13952, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6184, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13957, _u13958), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13957, _u13958), c_Orderings_Otop__class_Otop(tc_fun(_u13957, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13958, tc_HOL_Obool), _u13957), _u13959))) = hAPP(hAPP(c_Product__Type_OSigma(_u13957, _u13958), c_Orderings_Otop__class_Otop(tc_fun(_u13957, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13958, tc_HOL_Obool), _u13957), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13958, tc_HOL_Obool)), _u13959)))) )).
% 12.32/12.57 cnf(matrix-6185, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13960, _u13961), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13960, _u13961), _u13962), hAPP(c_COMBK(tc_fun(_u13961, tc_HOL_Obool), _u13960), c_Orderings_Otop__class_Otop(tc_fun(_u13961, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13960, _u13961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13960, tc_HOL_Obool)), _u13962)), hAPP(c_COMBK(tc_fun(_u13961, tc_HOL_Obool), _u13960), c_Orderings_Otop__class_Otop(tc_fun(_u13961, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-6186, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13963) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13964, _u13963), hAPP(hAPP(c_COMBC(_u13964, tc_fun(_u13965, tc_HOL_Obool), _u13963), hAPP(hAPP(c_COMBB(tc_fun(_u13965, _u13963), tc_fun(tc_fun(_u13965, tc_HOL_Obool), _u13963), _u13964), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13965, _u13963)), _u13966)), _u13967)), _u13968) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13964, _u13965), _u13963), hAPP(c_Product__Type_Oprod_Oprod__case(_u13964, _u13965, _u13963), _u13966)), hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13965), _u13968), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13964), _u13967)))) )).
% 12.32/12.57 cnf(matrix-6187, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), hAPP(hAPP(c_COMBS(_u13969, tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_fun(tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool)), _u13969), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13970, tc_HOL_Obool))), _u13972)), _u13973)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13969, _u13970), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), _u13972)), hAPP(hAPP(c_Product__Type_OSigma(_u13969, _u13970), _u13971), _u13973))) )).
% 12.32/12.57 cnf(matrix-6188, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13974, tc_HOL_Obool)), _u13976), _u13977)), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13974, _u13975), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), _u13976), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978))), hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), _u13977), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), _u13978)))) )).
% 12.32/12.57 cnf(matrix-6189, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13979, tc_HOL_Obool)), _u13981), _u13982)), _u13983) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13979, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), _u13981), _u13983)), hAPP(hAPP(c_Product__Type_OSigma(_u13979, _u13980), _u13982), _u13983))) )).
% 12.32/12.57 cnf(matrix-6190, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13984, _u13985), tc_prod(_u13985, _u13984), hAPP(c_Product__Type_Oprod_Oprod__case(_u13984, _u13985, tc_prod(_u13985, _u13984)), hAPP(c_COMBC(_u13985, _u13984, tc_prod(_u13985, _u13984)), c_Product__Type_OPair(_u13985, _u13984)))), hAPP(hAPP(c_Product__Type_OSigma(_u13984, _u13985), _u13986), hAPP(c_COMBK(tc_fun(_u13985, tc_HOL_Obool), _u13984), _u13987))) = hAPP(hAPP(c_Product__Type_OSigma(_u13985, _u13984), _u13987), hAPP(c_COMBK(tc_fun(_u13984, tc_HOL_Obool), _u13985), _u13986))) )).
% 12.32/12.57 cnf(matrix-6191, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u13988, _u13989), hAPP(hAPP(c_Set_Oinsert(_u13988), _u13990), c_Orderings_Obot__class_Obot(tc_fun(_u13988, tc_HOL_Obool)))) = _u13990) )).
% 12.32/12.57 cnf(matrix-6192, plain, ( ( _u13991 != c_Finite__Set_Ofold1(_u13992, _u13993)) | ( hAPP(_u13991, hAPP(hAPP(c_Set_Oinsert(_u13992), _u13994), c_Orderings_Obot__class_Obot(tc_fun(_u13992, tc_HOL_Obool)))) = _u13994) )).
% 12.32/12.57 cnf(matrix-6193, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13995), _u13996)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13997), _u13998)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13995, _u13997)), hAPP(hAPP(c_Product__Type_OSigma(_u13995, _u13997), _u13996), hAPP(c_COMBK(tc_fun(_u13997, tc_HOL_Obool), _u13995), _u13998)))) )).
% 12.32/12.57 cnf(matrix-6194, plain, ( ~c_Equiv__Relations_Oequiv(_u13999, _u14000, _u14001) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13999, _u13999), tc_HOL_Obool)), _u14001), hAPP(hAPP(c_Product__Type_OSigma(_u13999, _u13999), _u14000), hAPP(c_COMBK(tc_fun(_u13999, tc_HOL_Obool), _u13999), _u14000)))) )).
% 12.32/12.57 cnf(matrix-6195, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14002, tc_HOL_Obool)), _u14004), _u14005)), _u14006) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), _u14004), _u14006)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14003), _u14005), _u14006))) )).
% 12.32/12.57 cnf(matrix-6196, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14007, tc_HOL_Obool)), _u14009), _u14010)), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14007, _u14008), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), _u14009), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011))), hAPP(hAPP(c_Product__Type_OSigma(_u14007, _u14008), _u14010), hAPP(c_COMBK(tc_fun(_u14008, tc_HOL_Obool), _u14007), _u14011)))) )).
% 12.32/12.57 cnf(matrix-6197, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), hAPP(hAPP(c_COMBS(_u14012, tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14013, tc_HOL_Obool), tc_fun(tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), _u14012), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14013, tc_HOL_Obool))), _u14015)), _u14016)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14012, _u14013), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), _u14015)), hAPP(hAPP(c_Product__Type_OSigma(_u14012, _u14013), _u14014), _u14016))) )).
% 12.32/12.57 cnf(matrix-6198, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14017, _u14017), tc_HOL_Obool)), c_Relation_OId__on(_u14017, _u14018)), hAPP(hAPP(c_Product__Type_OSigma(_u14017, _u14017), _u14018), hAPP(c_COMBK(tc_fun(_u14017, tc_HOL_Obool), _u14017), _u14018)))) )).
% 12.32/12.57 cnf(matrix-6199, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), c_Orderings_Otop__class_Otop(tc_fun(_u14019, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u14020, tc_HOL_Obool), _u14019), c_Orderings_Otop__class_Otop(tc_fun(_u14020, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14019, _u14020), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6200, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14027, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14027, _u14029), _u14031), _u14033)), hAPP(hAPP(c_Product__Type_OSigma(_u14027, _u14029), _u14035), _u14037))) | hBOOL(hAPP(hAPP(c_member(_u14027), _u14031), _u14035)) )).
% 12.32/12.57 cnf(matrix-6201, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14027, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14027, _u14029), _u14031), _u14033)), hAPP(hAPP(c_Product__Type_OSigma(_u14027, _u14029), _u14035), _u14037))) | hBOOL(hAPP(hAPP(c_member(_u14029), _u14033), hAPP(_u14037, _u14031))) )).
% 12.32/12.57 cnf(matrix-6202, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14028), _u14032), _u14036)) | ~hBOOL(hAPP(hAPP(c_member(_u14030), _u14034), hAPP(_u14038, _u14032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14028, _u14030)), hAPP(hAPP(c_Product__Type_OPair(_u14028, _u14030), _u14032), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14028, _u14030), _u14036), _u14038))) )).
% 12.32/12.57 cnf(matrix-6203, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14039, _u14040), _u14041), _u14042)), hAPP(hAPP(c_Product__Type_OSigma(_u14039, _u14040), _u14043), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14039), _u14041), _u14043)) )).
% 12.32/12.57 cnf(matrix-6204, plain, ( hBOOL(hAPP(hAPP(c_member(_u14046), _u14048), hAPP(_u14050, _u14047))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14045, _u14046)), hAPP(hAPP(c_Product__Type_OPair(_u14045, _u14046), _u14047), _u14048)), hAPP(hAPP(c_Product__Type_OSigma(_u14045, _u14046), _u14049), _u14050))) )).
% 12.32/12.57 cnf(matrix-6205, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14051, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14051, _u14052), _u14053), _u14054)), hAPP(hAPP(c_Product__Type_OSigma(_u14051, _u14052), _u14055), _u14056))) | hBOOL(hAPP(hAPP(c_member(_u14051), _u14053), _u14055)) )).
% 12.32/12.57 cnf(matrix-6206, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14051, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14051, _u14052), _u14053), _u14054)), hAPP(hAPP(c_Product__Type_OSigma(_u14051, _u14052), _u14055), _u14056))) | hBOOL(hAPP(hAPP(c_member(_u14052), _u14054), hAPP(_u14056, _u14053))) )).
% 12.32/12.57 cnf(matrix-6207, plain, ( ~c_Finite__Set_Ofolding__one(_u14057, _u14058, _u14059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14057), _u14060)) | ( hAPP(_u14059, _u14060) = hAPP(c_Finite__Set_Ofold1(_u14057, _u14058), _u14060)) )).
% 12.32/12.57 cnf(matrix-6208, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14061, _u14062)), hAPP(hAPP(c_Product__Type_OSigma(_u14061, _u14062), hAPP(hAPP(c_Set_Oinsert(_u14061), _u14063), c_Orderings_Obot__class_Obot(tc_fun(_u14061, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u14062, tc_HOL_Obool), _u14061), _u14064))) = hAPP(c_Finite__Set_Ocard(_u14062), _u14064)) )).
% 12.32/12.57 cnf(matrix-6209, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14065), _u14066), _u14067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14068, _u14065), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14069), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067))), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14070), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14068, tc_HOL_Obool)), _u14069), _u14070)) )).
% 12.32/12.57 cnf(matrix-6210, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14065), _u14066), _u14067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14068, tc_HOL_Obool)), _u14069), _u14070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14068, _u14065), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14069), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067))), hAPP(hAPP(c_Product__Type_OSigma(_u14068, _u14065), _u14070), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14068), _u14067)))) )).
% 12.32/12.57 cnf(matrix-6211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14072), tc_HOL_Obool)), _u14073), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14072), _u14074), hAPP(c_COMBK(tc_fun(_u14072, tc_HOL_Obool), _u14071), _u14075)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14072, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14071, _u14072, _u14073), _u14076)), _u14075)) )).
% 12.32/12.57 cnf(matrix-6212, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14077, _u14078)), hAPP(hAPP(c_Product__Type_OSigma(_u14077, _u14078), _u14079), hAPP(c_COMBK(tc_fun(_u14078, tc_HOL_Obool), _u14077), _u14080)))) | ( _u14080 = c_Orderings_Obot__class_Obot(tc_fun(_u14078, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14077), _u14079)) )).
% 12.32/12.57 cnf(matrix-6213, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14081, _u14082)), hAPP(hAPP(c_Product__Type_OSigma(_u14081, _u14082), _u14083), hAPP(c_COMBK(tc_fun(_u14082, tc_HOL_Obool), _u14081), _u14084)))) | ( _u14083 = c_Orderings_Obot__class_Obot(tc_fun(_u14081, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14082), _u14084)) )).
% 12.32/12.57 cnf(matrix-6214, plain, ( ( _u14089 != c_Orderings_Obot__class_Obot(tc_fun(_u14091, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14093, _u14091), _u14093, c_Product__Type_Ofst(_u14093, _u14091)), hAPP(hAPP(c_Product__Type_OSigma(_u14093, _u14091), _u14095), hAPP(c_COMBK(tc_fun(_u14091, tc_HOL_Obool), _u14093), _u14089))) = c_Orderings_Obot__class_Obot(tc_fun(_u14093, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6215, plain, ( ( _u14090 = c_Orderings_Obot__class_Obot(tc_fun(_u14092, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14094, _u14092), _u14094, c_Product__Type_Ofst(_u14094, _u14092)), hAPP(hAPP(c_Product__Type_OSigma(_u14094, _u14092), _u14096), hAPP(c_COMBK(tc_fun(_u14092, tc_HOL_Obool), _u14094), _u14090))) = _u14096) )).
% 12.32/12.57 cnf(matrix-6216, plain, ( ( _u14101 != c_Orderings_Obot__class_Obot(tc_fun(_u14103, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14103, _u14105), _u14105, c_Product__Type_Osnd(_u14103, _u14105)), hAPP(hAPP(c_Product__Type_OSigma(_u14103, _u14105), _u14101), hAPP(c_COMBK(tc_fun(_u14105, tc_HOL_Obool), _u14103), _u14107))) = c_Orderings_Obot__class_Obot(tc_fun(_u14105, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6217, plain, ( ( _u14102 = c_Orderings_Obot__class_Obot(tc_fun(_u14104, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14104, _u14106), _u14106, c_Product__Type_Osnd(_u14104, _u14106)), hAPP(hAPP(c_Product__Type_OSigma(_u14104, _u14106), _u14102), hAPP(c_COMBK(tc_fun(_u14106, tc_HOL_Obool), _u14104), _u14108))) = _u14108) )).
% 12.32/12.57 cnf(matrix-6218, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u14109, _u14110), _u14111) = c_HOL_OThe(_u14109, c_Finite__Set_Ofold1Set(_u14109, _u14110, _u14111))) )).
% 12.32/12.57 cnf(matrix-6219, plain, ( ~class_Lattices_Olattice(_u14112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14112), _u14113)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14112, _u14113) = hAPP(c_Finite__Set_Ofold1(_u14112, c_Lattices_Osemilattice__sup__class_Osup(_u14112)), _u14113)) )).
% 12.32/12.57 cnf(matrix-6220, plain, ( ~class_Lattices_Olattice(_u14114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14114), _u14115)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14114, _u14115) = hAPP(c_Finite__Set_Ofold1(_u14114, c_Lattices_Osemilattice__inf__class_Oinf(_u14114)), _u14115)) )).
% 12.32/12.57 cnf(matrix-6221, plain, ( ~class_Orderings_Olinorder(_u14116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14116), _u14117)) | ( c_Big__Operators_Olinorder__class_OMin(_u14116, _u14117) = hAPP(c_Finite__Set_Ofold1(_u14116, c_Orderings_Oord__class_Omin(_u14116)), _u14117)) )).
% 12.32/12.57 cnf(matrix-6222, plain, ( ~class_Orderings_Olinorder(_u14118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14119)) | ( c_Big__Operators_Olinorder__class_OMax(_u14118, _u14119) = hAPP(c_Finite__Set_Ofold1(_u14118, c_Orderings_Oord__class_Omax(_u14118)), _u14119)) )).
% 12.32/12.57 cnf(matrix-6223, plain, ( ~class_Orderings_Olinorder(_u14120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14120), _u14121)) | ( c_Big__Operators_Olattice_OInf__fin(_u14120, c_Orderings_Oord__class_Omin(_u14120), _u14121) = hAPP(c_Finite__Set_Ofold1(_u14120, c_Orderings_Oord__class_Omin(_u14120)), _u14121)) )).
% 12.32/12.57 cnf(matrix-6224, plain, ( ~class_Orderings_Olinorder(_u14122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14122), _u14123)) | ( c_Big__Operators_Olattice_OSup__fin(_u14122, c_Orderings_Oord__class_Omax(_u14122), _u14123) = hAPP(c_Finite__Set_Ofold1(_u14122, c_Orderings_Oord__class_Omax(_u14122)), _u14123)) )).
% 12.32/12.57 cnf(matrix-6225, plain, ( ~c_Relation_Orefl__on(_u14129, _u14131, _u14133) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14129, _u14129), tc_HOL_Obool)), _u14133), hAPP(hAPP(c_Product__Type_OSigma(_u14129, _u14129), _u14131), hAPP(c_COMBK(tc_fun(_u14129, tc_HOL_Obool), _u14129), _u14131)))) )).
% 12.32/12.57 cnf(matrix-6226, plain, ( ~c_Relation_Orefl__on(_u14129, _u14131, _u14133) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14124), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14124), _u14124)), _u14133)) )).
% 12.32/12.57 cnf(matrix-6227, plain, ( c_Relation_Orefl__on(_u14130, _u14132, _u14134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14130, _u14130), tc_HOL_Obool)), _u14134), hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14130), _u14132), hAPP(c_COMBK(tc_fun(_u14130, tc_HOL_Obool), _u14130), _u14132)))) | hBOOL(hAPP(hAPP(c_member(_u14130), skolem303(_u14134, _u14132, _u14130)), _u14132)) )).
% 12.32/12.57 cnf(matrix-6228, plain, ( c_Relation_Orefl__on(_u14130, _u14132, _u14134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14130, _u14130), tc_HOL_Obool)), _u14134), hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14130), _u14132), hAPP(c_COMBK(tc_fun(_u14130, tc_HOL_Obool), _u14130), _u14132)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), skolem303(_u14134, _u14132, _u14130)), skolem303(_u14134, _u14132, _u14130))), _u14134)) )).
% 12.32/12.57 cnf(matrix-6229, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), hAPP(hAPP(c_Set_Oinsert(_u14135), _u14137), _u14138)), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), hAPP(hAPP(c_Set_Oinsert(_u14136), _u14139), _u14140))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14135, _u14136)), hAPP(hAPP(c_Product__Type_OPair(_u14135, _u14136), _u14137), _u14139)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14135, _u14136), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), _u14138), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), hAPP(hAPP(c_Set_Oinsert(_u14136), _u14139), _u14140)))), hAPP(hAPP(c_Product__Type_OSigma(_u14135, _u14136), hAPP(hAPP(c_Set_Oinsert(_u14135), _u14137), _u14138)), hAPP(c_COMBK(tc_fun(_u14136, tc_HOL_Obool), _u14135), _u14140))))) )).
% 12.32/12.57 cnf(matrix-6230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14141), _u14142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14141, _u14141), tc_HOL_Obool)), _u14143), hAPP(hAPP(c_Product__Type_OSigma(_u14141, _u14141), _u14142), hAPP(c_COMBK(tc_fun(_u14141, tc_HOL_Obool), _u14141), _u14142)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14141, tc_HOL_Obool)), _u14144), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14141), _u14142), _u14143))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14141), _u14144)) )).
% 12.32/12.57 cnf(matrix-6231, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u14145, _u14146), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14145, _u14146), _u14149), hAPP(c_COMBK(tc_fun(_u14146, tc_HOL_Obool), _u14145), _u14150))), hAPP(c_Product__Type_Oprod_Oprod__case(_u14145, _u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u14145, tc_fun(_u14146, tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool))), tc_fun(_u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), tc_fun(tc_fun(_u14146, tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool))), tc_fun(_u14146, tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool))), _u14145), c_COMBB(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool), _u14146)), hAPP(hAPP(c_COMBB(tc_fun(_u14147, tc_HOL_Obool), tc_fun(tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), tc_fun(tc_prod(_u14147, _u14148), tc_HOL_Obool)), _u14145), c_Product__Type_OSigma(_u14147, _u14148)), _u14151))), hAPP(hAPP(c_COMBB(tc_fun(_u14148, tc_HOL_Obool), tc_fun(_u14147, tc_fun(_u14148, tc_HOL_Obool)), _u14146), c_COMBK(tc_fun(_u14148, tc_HOL_Obool), _u14147)), _u14152)))) = hAPP(hAPP(c_Product__Type_OSigma(_u14147, _u14148), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14147, tc_HOL_Obool)), _u14149), _u14151)), hAPP(c_COMBK(tc_fun(_u14148, tc_HOL_Obool), _u14147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14146, tc_fun(_u14148, tc_HOL_Obool)), _u14150), _u14152)))) )).
% 12.32/12.57 cnf(matrix-6232, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14153, _u14154), _u14155), _u14156) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14153, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_COMBS(_u14153, tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_HOL_Obool), tc_fun(tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14153), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14156)), hAPP(hAPP(c_COMBC(_u14153, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14153), c_COMBC(_u14154, tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14154, tc_prod(_u14153, _u14154)), tc_fun(_u14154, tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool))), _u14153), hAPP(c_COMBB(tc_prod(_u14153, _u14154), tc_fun(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool), tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)), _u14154), c_Set_Oinsert(tc_prod(_u14153, _u14154)))), c_Product__Type_OPair(_u14153, _u14154)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14153, _u14154), tc_HOL_Obool)))))) )).
% 12.32/12.57 cnf(matrix-6233, plain, ( ~class_Lattices_Osemilattice__inf(_u14157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14157), _u14158)) | ~hBOOL(hAPP(hAPP(c_member(_u14157), _u14159), _u14158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14157), hAPP(c_Finite__Set_Ofold1(_u14157, c_Lattices_Osemilattice__inf__class_Oinf(_u14157)), _u14158)), _u14159)) )).
% 12.32/12.57 cnf(matrix-6234, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14160), _u14161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14160, _u14160), tc_HOL_Obool)), _u14162), hAPP(hAPP(c_Product__Type_OSigma(_u14160, _u14160), _u14161), hAPP(c_COMBK(tc_fun(_u14160, tc_HOL_Obool), _u14160), _u14161)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14160, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14160), _u14161), _u14162))) )).
% 12.32/12.57 cnf(matrix-6235, plain, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | ~hBOOL(hAPP(hAPP(c_member(_u14165), _u14163), _u14166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), _u14163)) )).
% 12.32/12.57 cnf(matrix-6236, plain, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | hBOOL(hAPP(hAPP(c_member(_u14165), skolem304(_u14167, _u14166, _u14165)), _u14166)) )).
% 12.32/12.57 cnf(matrix-6237, plain, ( ~class_Lattices_Osemilattice__inf(_u14165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14165), _u14166)) | ( _u14166 = c_Orderings_Obot__class_Obot(tc_fun(_u14165, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), hAPP(c_Finite__Set_Ofold1(_u14165, c_Lattices_Osemilattice__inf__class_Oinf(_u14165)), _u14166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14165), _u14167), skolem304(_u14167, _u14166, _u14165))) )).
% 12.32/12.57 cnf(matrix-6238, plain, ( ~class_Orderings_Olinorder(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14168), _u14169)) | ~hBOOL(hAPP(hAPP(c_member(_u14168), _u14170), _u14169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14168), hAPP(c_Finite__Set_Ofold1(_u14168, c_Orderings_Oord__class_Omin(_u14168)), _u14169)), _u14170)) )).
% 12.32/12.57 cnf(matrix-6239, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14171) | ( _u14172 = c_Orderings_Obot__class_Obot(tc_fun(_u14171, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14171), _u14172)) | ( hAPP(c_Finite__Set_Ofold1(_u14171, c_Groups_Otimes__class_Otimes(_u14171)), hAPP(hAPP(c_Set_Oinsert(_u14171), _u14173), _u14172)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14171), _u14173), hAPP(c_Finite__Set_Ofold1(_u14171, c_Groups_Otimes__class_Otimes(_u14171)), _u14172))) )).
% 12.32/12.57 cnf(matrix-6240, plain, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | ~hBOOL(hAPP(hAPP(c_member(_u14176), _u14174), _u14177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), _u14174)) )).
% 12.32/12.57 cnf(matrix-6241, plain, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | hBOOL(hAPP(hAPP(c_member(_u14176), skolem305(_u14178, _u14177, _u14176)), _u14177)) )).
% 12.32/12.57 cnf(matrix-6242, plain, ( ~class_Orderings_Olinorder(_u14176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14176), _u14177)) | ( _u14177 = c_Orderings_Obot__class_Obot(tc_fun(_u14176, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), hAPP(c_Finite__Set_Ofold1(_u14176, c_Orderings_Oord__class_Omin(_u14176)), _u14177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14176), _u14178), skolem305(_u14178, _u14177, _u14176))) )).
% 12.32/12.57 cnf(matrix-6243, plain, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) | hBOOL(hAPP(hAPP(c_member(_u14181), skolem306(_u14183, _u14182, _u14181)), _u14182)) )).
% 12.32/12.57 cnf(matrix-6244, plain, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), skolem306(_u14183, _u14182, _u14181)), _u14183)) )).
% 12.32/12.57 cnf(matrix-6245, plain, ( ~class_Orderings_Olinorder(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), _u14180), _u14182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), _u14180), _u14183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Orderings_Oord__class_Omin(_u14181)), _u14182)), _u14183)) )).
% 12.32/12.57 cnf(matrix-6246, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14184), _u14185)) | ( _u14185 = c_Orderings_Obot__class_Obot(tc_fun(_u14184, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14184), _u14186)) | ( _u14186 = c_Orderings_Obot__class_Obot(tc_fun(_u14184, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14184, tc_HOL_Obool)), _u14185), _u14186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14184), hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), _u14185)), hAPP(c_Finite__Set_Ofold1(_u14184, c_Groups_Otimes__class_Otimes(_u14184)), _u14186))) )).
% 12.32/12.57 cnf(matrix-6247, plain, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) | hBOOL(hAPP(hAPP(c_member(_u14189), skolem307(_u14191, _u14190, _u14189)), _u14190)) )).
% 12.32/12.57 cnf(matrix-6248, plain, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), skolem307(_u14191, _u14190, _u14189)), _u14191)) )).
% 12.32/12.57 cnf(matrix-6249, plain, ( ~class_Orderings_Olinorder(_u14189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14189), _u14190)) | ( _u14190 = c_Orderings_Obot__class_Obot(tc_fun(_u14189, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14189), _u14188), _u14190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), _u14188), _u14191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14189), hAPP(c_Finite__Set_Ofold1(_u14189, c_Orderings_Oord__class_Omin(_u14189)), _u14190)), _u14191)) )).
% 12.32/12.57 cnf(matrix-6250, plain, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | ~hBOOL(hAPP(hAPP(c_member(_u14194), _u14192), _u14195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), _u14192)) )).
% 12.32/12.57 cnf(matrix-6251, plain, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | hBOOL(hAPP(hAPP(c_member(_u14194), skolem308(_u14196, _u14195, _u14194)), _u14195)) )).
% 12.32/12.57 cnf(matrix-6252, plain, ( ~class_Orderings_Olinorder(_u14194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14194), _u14195)) | ( _u14195 = c_Orderings_Obot__class_Obot(tc_fun(_u14194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), hAPP(c_Finite__Set_Ofold1(_u14194, c_Orderings_Oord__class_Omin(_u14194)), _u14195))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14194), _u14196), skolem308(_u14196, _u14195, _u14194))) )).
% 12.32/12.57 cnf(matrix-6253, plain, ( ( hAPP(c_Set_Ovimage(_u14197, tc_prod(_u14198, _u14199), _u14200), hAPP(hAPP(c_Product__Type_OSigma(_u14198, _u14199), _u14201), hAPP(c_COMBK(tc_fun(_u14199, tc_HOL_Obool), _u14198), _u14202))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14197, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14197, _u14198, hAPP(c_Fun_Ocomp(tc_prod(_u14198, _u14199), _u14198, _u14197, c_Product__Type_Ofst(_u14198, _u14199)), _u14200)), _u14201)), hAPP(c_Set_Ovimage(_u14197, _u14199, hAPP(c_Fun_Ocomp(tc_prod(_u14198, _u14199), _u14199, _u14197, c_Product__Type_Osnd(_u14198, _u14199)), _u14200)), _u14202))) )).
% 12.32/12.57 cnf(matrix-6254, plain, ( ~class_Groups_Oab__semigroup__mult(_u14203) | ( _u14204 = c_Orderings_Obot__class_Obot(tc_fun(_u14203, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14203), _u14204)) | hBOOL(hAPP(hAPP(c_member(_u14203), _u14205), _u14204)) | ( hAPP(c_Finite__Set_Ofold1(_u14203, c_Groups_Otimes__class_Otimes(_u14203)), hAPP(hAPP(c_Set_Oinsert(_u14203), _u14205), _u14204)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14203), _u14205), hAPP(c_Finite__Set_Ofold1(_u14203, c_Groups_Otimes__class_Otimes(_u14203)), _u14204))) )).
% 12.32/12.57 cnf(matrix-6255, plain, ( ~c_Big__Operators_Osemilattice__big(_u14206, _u14207, _u14208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14206), _u14209)) | ( hAPP(_u14208, _u14209) = hAPP(c_Finite__Set_Ofold1(_u14206, _u14207), _u14209)) )).
% 12.32/12.57 cnf(matrix-6256, plain, ( c_Fun_Oinj__on(_u14211, tc_prod(_u14212, _u14211), skolem309(_u14214, _u14213, _u14212, _u14211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14212, tc_fun(_u14211, tc_HOL_Obool)), _u14213), _u14214)) )).
% 12.32/12.57 cnf(matrix-6257, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14212, _u14211), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14211, tc_prod(_u14212, _u14211), skolem309(_u14214, _u14213, _u14212, _u14211)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14212, tc_fun(_u14211, tc_HOL_Obool)), _u14213), _u14214))), hAPP(hAPP(c_Product__Type_OSigma(_u14212, _u14211), _u14213), _u14214))) )).
% 12.32/12.57 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14216, _u14216), tc_HOL_Obool)), _u14217), hAPP(hAPP(c_Product__Type_OSigma(_u14216, _u14216), _u14218), hAPP(c_COMBK(tc_fun(_u14216, tc_HOL_Obool), _u14216), _u14218)))) | c_Relation_Orefl__on(_u14216, _u14218, _u14217) | hBOOL(hAPP(hAPP(c_member(_u14216), skolem310(_u14218, _u14217, _u14216)), _u14218)) )).
% 12.32/12.57 cnf(matrix-6259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14216, _u14216), tc_HOL_Obool)), _u14217), hAPP(hAPP(c_Product__Type_OSigma(_u14216, _u14216), _u14218), hAPP(c_COMBK(tc_fun(_u14216, tc_HOL_Obool), _u14216), _u14218)))) | c_Relation_Orefl__on(_u14216, _u14218, _u14217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), skolem310(_u14218, _u14217, _u14216)), skolem310(_u14218, _u14217, _u14216))), _u14217)) )).
% 12.32/12.57 cnf(matrix-6260, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14221), _u14222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14221, _u14220), hAPP(hAPP(c_COMBS(_u14221, tc_fun(_u14223, tc_HOL_Obool), _u14220), hAPP(hAPP(c_COMBB(tc_fun(_u14223, _u14220), tc_fun(tc_fun(_u14223, tc_HOL_Obool), _u14220), _u14221), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14223, _u14220)), _u14225)), _u14224)), _u14222) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14221, _u14223), _u14220), hAPP(c_Product__Type_Oprod_Oprod__case(_u14221, _u14223, _u14220), _u14225)), hAPP(hAPP(c_Product__Type_OSigma(_u14221, _u14223), _u14222), _u14224))) | hBOOL(hAPP(hAPP(c_member(_u14221), skolem311(_u14225, _u14224, _u14223, _u14222, _u14221, _u14220)), _u14222)) )).
% 12.32/12.57 cnf(matrix-6261, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14221), _u14222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14221, _u14220), hAPP(hAPP(c_COMBS(_u14221, tc_fun(_u14223, tc_HOL_Obool), _u14220), hAPP(hAPP(c_COMBB(tc_fun(_u14223, _u14220), tc_fun(tc_fun(_u14223, tc_HOL_Obool), _u14220), _u14221), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14223, _u14220)), _u14225)), _u14224)), _u14222) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14221, _u14223), _u14220), hAPP(c_Product__Type_Oprod_Oprod__case(_u14221, _u14223, _u14220), _u14225)), hAPP(hAPP(c_Product__Type_OSigma(_u14221, _u14223), _u14222), _u14224))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14223), hAPP(_u14224, skolem311(_u14225, _u14224, _u14223, _u14222, _u14221, _u14220)))) )).
% 12.32/12.57 cnf(matrix-6262, plain, ( ~class_Groups_Ocomm__monoid__add(_u14227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14228), _u14229)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14228, _u14227), hAPP(hAPP(c_COMBS(_u14228, tc_fun(_u14230, tc_HOL_Obool), _u14227), hAPP(hAPP(c_COMBB(tc_fun(_u14230, _u14227), tc_fun(tc_fun(_u14230, tc_HOL_Obool), _u14227), _u14228), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14230, _u14227)), _u14232)), _u14231)), _u14229) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14228, _u14230), _u14227), hAPP(c_Product__Type_Oprod_Oprod__case(_u14228, _u14230, _u14227), _u14232)), hAPP(hAPP(c_Product__Type_OSigma(_u14228, _u14230), _u14229), _u14231))) | hBOOL(hAPP(hAPP(c_member(_u14228), skolem312(_u14232, _u14231, _u14230, _u14229, _u14228, _u14227)), _u14229)) )).
% 12.32/12.57 cnf(matrix-6263, plain, ( ~class_Groups_Ocomm__monoid__add(_u14227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14228), _u14229)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14228, _u14227), hAPP(hAPP(c_COMBS(_u14228, tc_fun(_u14230, tc_HOL_Obool), _u14227), hAPP(hAPP(c_COMBB(tc_fun(_u14230, _u14227), tc_fun(tc_fun(_u14230, tc_HOL_Obool), _u14227), _u14228), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14230, _u14227)), _u14232)), _u14231)), _u14229) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14228, _u14230), _u14227), hAPP(c_Product__Type_Oprod_Oprod__case(_u14228, _u14230, _u14227), _u14232)), hAPP(hAPP(c_Product__Type_OSigma(_u14228, _u14230), _u14229), _u14231))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14230), hAPP(_u14231, skolem312(_u14232, _u14231, _u14230, _u14229, _u14228, _u14227)))) )).
% 12.32/12.57 cnf(matrix-6264, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14235), _u14236)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, _u14235, c_Groups_Otimes__class_Otimes(_u14234)), hAPP(hAPP(c_COMBS(_u14235, tc_fun(_u14237, tc_HOL_Obool), _u14234), hAPP(hAPP(c_COMBC(_u14235, _u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), hAPP(hAPP(c_COMBB(tc_fun(_u14237, _u14234), tc_fun(_u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), _u14235), c_Finite__Set_Ofold__image(_u14234, _u14237, c_Groups_Otimes__class_Otimes(_u14234))), _u14239)), c_Groups_Oone__class_Oone(_u14234))), _u14238)), c_Groups_Oone__class_Oone(_u14234)), _u14236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, tc_prod(_u14235, _u14237), c_Groups_Otimes__class_Otimes(_u14234)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14235, _u14237, _u14234), _u14239)), c_Groups_Oone__class_Oone(_u14234)), hAPP(hAPP(c_Product__Type_OSigma(_u14235, _u14237), _u14236), _u14238))) | hBOOL(hAPP(hAPP(c_member(_u14235), skolem313(_u14239, _u14238, _u14237, _u14236, _u14235, _u14234)), _u14236)) )).
% 12.32/12.57 cnf(matrix-6265, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14235), _u14236)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, _u14235, c_Groups_Otimes__class_Otimes(_u14234)), hAPP(hAPP(c_COMBS(_u14235, tc_fun(_u14237, tc_HOL_Obool), _u14234), hAPP(hAPP(c_COMBC(_u14235, _u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), hAPP(hAPP(c_COMBB(tc_fun(_u14237, _u14234), tc_fun(_u14234, tc_fun(tc_fun(_u14237, tc_HOL_Obool), _u14234)), _u14235), c_Finite__Set_Ofold__image(_u14234, _u14237, c_Groups_Otimes__class_Otimes(_u14234))), _u14239)), c_Groups_Oone__class_Oone(_u14234))), _u14238)), c_Groups_Oone__class_Oone(_u14234)), _u14236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14234, tc_prod(_u14235, _u14237), c_Groups_Otimes__class_Otimes(_u14234)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14235, _u14237, _u14234), _u14239)), c_Groups_Oone__class_Oone(_u14234)), hAPP(hAPP(c_Product__Type_OSigma(_u14235, _u14237), _u14236), _u14238))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14237), hAPP(_u14238, skolem313(_u14239, _u14238, _u14237, _u14236, _u14235, _u14234)))) )).
% 12.32/12.57 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14241), _u14242)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14241, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14241, _u14243), _u14242), _u14244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14241, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14243, tc_HOL_Obool), tc_Nat_Onat, _u14241), c_Finite__Set_Ocard(_u14243)), _u14244)), _u14242)) | hBOOL(hAPP(hAPP(c_member(_u14241), skolem314(_u14244, _u14243, _u14242, _u14241)), _u14242)) )).
% 12.32/12.57 cnf(matrix-6267, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14241), _u14242)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14241, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14241, _u14243), _u14242), _u14244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14241, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14243, tc_HOL_Obool), tc_Nat_Onat, _u14241), c_Finite__Set_Ocard(_u14243)), _u14244)), _u14242)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14243), hAPP(_u14244, skolem314(_u14244, _u14243, _u14242, _u14241)))) )).
% 12.32/12.57 cnf(matrix-6268, plain, ( ~class_Groups_Oab__semigroup__mult(_u14247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14247), _u14248)) | ( _u14248 = c_Orderings_Obot__class_Obot(tc_fun(_u14247, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14247), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14247), skolem315(_u14248, _u14247)), skolem316(_u14248, _u14247))), hAPP(hAPP(c_Set_Oinsert(_u14247), skolem315(_u14248, _u14247)), hAPP(hAPP(c_Set_Oinsert(_u14247), skolem316(_u14248, _u14247)), c_Orderings_Obot__class_Obot(tc_fun(_u14247, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14247), hAPP(c_Finite__Set_Ofold1(_u14247, c_Groups_Otimes__class_Otimes(_u14247)), _u14248)), _u14248)) )).
% 12.32/12.57 cnf(matrix-6269, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14250), _u14251)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14250, _u14252)), hAPP(hAPP(c_Product__Type_OSigma(_u14250, _u14252), _u14251), _u14253))) | hBOOL(hAPP(hAPP(c_member(_u14250), skolem317(_u14253, _u14252, _u14251, _u14250)), _u14251)) )).
% 12.32/12.57 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14250), _u14251)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14250, _u14252)), hAPP(hAPP(c_Product__Type_OSigma(_u14250, _u14252), _u14251), _u14253))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14252), hAPP(_u14253, skolem317(_u14253, _u14252, _u14251, _u14250)))) )).
% 12.32/12.57 cnf(matrix-6271, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14256) | ( hAPP(_u14257, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14256), skolem318(_u14258, _u14257, _u14256)), skolem319(_u14258, _u14257, _u14256))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14256), hAPP(_u14257, skolem318(_u14258, _u14257, _u14256))), hAPP(_u14257, skolem319(_u14258, _u14257, _u14256)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14256), _u14258)) | ( _u14258 = c_Orderings_Obot__class_Obot(tc_fun(_u14256, tc_HOL_Obool))) | ( hAPP(_u14257, hAPP(c_Finite__Set_Ofold1(_u14256, c_Groups_Otimes__class_Otimes(_u14256)), _u14258)) = hAPP(c_Finite__Set_Ofold1(_u14256, c_Groups_Otimes__class_Otimes(_u14256)), hAPP(c_Set_Oimage(_u14256, _u14256, _u14257), _u14258))) )).
% 12.32/12.57 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | hBOOL(hAPP(hAPP(c_member(_u14261), skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)), _u14264)) )).
% 12.32/12.57 cnf(matrix-6273, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | hBOOL(hAPP(hAPP(c_member(_u14262), skolem321(_u14265, _u14264, _u14263, _u14262, _u14261)), hAPP(_u14265, skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)))) )).
% 12.32/12.57 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14261, _u14262)), _u14263), hAPP(hAPP(c_Product__Type_OSigma(_u14261, _u14262), _u14264), _u14265))) | ( _u14263 = hAPP(hAPP(c_Product__Type_OPair(_u14261, _u14262), skolem320(_u14265, _u14264, _u14263, _u14262, _u14261)), skolem321(_u14265, _u14264, _u14263, _u14262, _u14261))) )).
% 12.32/12.57 cnf(matrix-6275, plain, ( ( hAPP(c_Set_Oimage(_u14266, _u14267, _u14268), c_Orderings_Otop__class_Otop(tc_fun(_u14266, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14267, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14269, _u14270, _u14271), c_Orderings_Otop__class_Otop(tc_fun(_u14269, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14270, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14266, _u14269), tc_prod(_u14267, _u14270), c_Product__Type_Omap__pair(_u14266, _u14267, _u14269, _u14270, _u14268, _u14271)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14266, _u14269), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14267, _u14270), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6276, plain, ( ~c_Fun_Oinj__on(_u14272, _u14273, _u14274, _u14275) | ~c_Fun_Oinj__on(_u14276, _u14277, _u14278, _u14279) | c_Fun_Oinj__on(tc_prod(_u14272, _u14276), tc_prod(_u14273, _u14277), c_Product__Type_Omap__pair(_u14272, _u14273, _u14276, _u14277, _u14274, _u14278), hAPP(hAPP(c_Product__Type_OSigma(_u14272, _u14276), _u14275), hAPP(c_COMBK(tc_fun(_u14276, tc_HOL_Obool), _u14272), _u14279))) )).
% 12.32/12.57 cnf(matrix-6277, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14280, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14280, _u14281), _u14282), _u14283)), _u14284)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14286), hAPP(_u14287, _u14282)), hAPP(_u14288, _u14283))), hAPP(c_Set_Oimage(tc_prod(_u14280, _u14281), tc_prod(_u14285, _u14286), c_Product__Type_Omap__pair(_u14280, _u14285, _u14281, _u14286, _u14287, _u14288)), _u14284))) )).
% 12.32/12.57 cnf(matrix-6278, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14289, _u14290), tc_prod(_u14291, _u14292), tc_prod(_u14293, _u14294), c_Product__Type_Omap__pair(_u14289, _u14291, _u14290, _u14292, _u14295, _u14296)), c_Product__Type_Omap__pair(_u14293, _u14289, _u14294, _u14290, _u14297, _u14298)) = c_Product__Type_Omap__pair(_u14293, _u14291, _u14294, _u14292, hAPP(c_Fun_Ocomp(_u14289, _u14291, _u14293, _u14295), _u14297), hAPP(c_Fun_Ocomp(_u14290, _u14292, _u14294, _u14296), _u14298))) )).
% 12.32/12.57 cnf(matrix-6279, plain, ( ( c_Product__Type_Omap__pair(_u14299, _u14300, _u14301, _u14302, hAPP(c_Fun_Ocomp(_u14303, _u14300, _u14299, _u14304), _u14305), hAPP(c_Fun_Ocomp(_u14306, _u14302, _u14301, _u14307), _u14308)) = hAPP(c_Fun_Ocomp(tc_prod(_u14303, _u14306), tc_prod(_u14300, _u14302), tc_prod(_u14299, _u14301), c_Product__Type_Omap__pair(_u14303, _u14300, _u14306, _u14302, _u14304, _u14307)), c_Product__Type_Omap__pair(_u14299, _u14303, _u14301, _u14306, _u14305, _u14308))) )).
% 12.32/12.57 cnf(matrix-6280, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14309, _u14310, _u14311, _u14312, _u14313, _u14314), hAPP(c_Product__Type_Omap__pair(_u14315, _u14309, _u14316, _u14311, _u14317, _u14318), _u14319)) = hAPP(c_Product__Type_Omap__pair(_u14315, _u14310, _u14316, _u14312, hAPP(c_Fun_Ocomp(_u14309, _u14310, _u14315, _u14313), _u14317), hAPP(c_Fun_Ocomp(_u14311, _u14312, _u14316, _u14314), _u14318)), _u14319)) )).
% 12.32/12.57 cnf(matrix-6281, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14320, _u14321), _u14321, tc_prod(_u14322, _u14323), c_Product__Type_Osnd(_u14320, _u14321)), c_Product__Type_Omap__pair(_u14322, _u14320, _u14323, _u14321, _u14324, _u14325)) = hAPP(c_Fun_Ocomp(_u14323, _u14321, tc_prod(_u14322, _u14323), _u14325), c_Product__Type_Osnd(_u14322, _u14323))) )).
% 12.32/12.57 cnf(matrix-6282, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14326, _u14327), _u14326, tc_prod(_u14328, _u14329), c_Product__Type_Ofst(_u14326, _u14327)), c_Product__Type_Omap__pair(_u14328, _u14326, _u14329, _u14327, _u14330, _u14331)) = hAPP(c_Fun_Ocomp(_u14328, _u14326, tc_prod(_u14328, _u14329), _u14330), c_Product__Type_Ofst(_u14328, _u14329))) )).
% 12.32/12.57 cnf(matrix-6283, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14332, _u14333, _u14334, _u14335, _u14336, _u14337), hAPP(hAPP(c_Product__Type_OPair(_u14332, _u14334), _u14338), _u14339)) = hAPP(hAPP(c_Product__Type_OPair(_u14333, _u14335), hAPP(_u14336, _u14338)), hAPP(_u14337, _u14339))) )).
% 12.32/12.57 cnf(matrix-6284, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14340, _u14340, _u14341, _u14341, c_COMBI(_u14340), c_COMBI(_u14341)), _u14342) = _u14342) )).
% 12.32/12.57 cnf(matrix-6285, plain, ( ( hAPP(c_Product__Type_Osnd(_u14343, _u14344), hAPP(c_Product__Type_Omap__pair(_u14345, _u14343, _u14346, _u14344, _u14347, _u14348), _u14349)) = hAPP(_u14348, hAPP(c_Product__Type_Osnd(_u14345, _u14346), _u14349))) )).
% 12.32/12.57 cnf(matrix-6286, plain, ( ( hAPP(c_Product__Type_Ofst(_u14350, _u14351), hAPP(c_Product__Type_Omap__pair(_u14352, _u14350, _u14353, _u14351, _u14354, _u14355), _u14356)) = hAPP(_u14354, hAPP(c_Product__Type_Ofst(_u14352, _u14353), _u14356))) )).
% 12.32/12.57 cnf(matrix-6287, plain, ( ( c_Product__Type_Omap__pair(_u14357, _u14358, _u14359, _u14360, _u14361, _u14362) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14357, _u14359, tc_prod(_u14358, _u14360)), hAPP(hAPP(c_COMBC(_u14357, tc_fun(_u14359, _u14360), tc_fun(_u14359, tc_prod(_u14358, _u14360))), hAPP(hAPP(c_COMBB(tc_fun(_u14360, tc_prod(_u14358, _u14360)), tc_fun(tc_fun(_u14359, _u14360), tc_fun(_u14359, tc_prod(_u14358, _u14360))), _u14357), c_COMBB(_u14360, tc_prod(_u14358, _u14360), _u14359)), hAPP(hAPP(c_COMBB(_u14358, tc_fun(_u14360, tc_prod(_u14358, _u14360)), _u14357), c_Product__Type_OPair(_u14358, _u14360)), _u14361))), _u14362))) )).
% 12.32/12.57 cnf(matrix-6288, plain, ( ( hAPP(c_Set_Oimage(_u14363, _u14364, _u14365), _u14366) != _u14367) | ( hAPP(c_Set_Oimage(_u14368, _u14369, _u14370), _u14371) != _u14372) | ( hAPP(c_Set_Oimage(tc_prod(_u14363, _u14368), tc_prod(_u14364, _u14369), c_Product__Type_Omap__pair(_u14363, _u14364, _u14368, _u14369, _u14365, _u14370)), hAPP(hAPP(c_Product__Type_OSigma(_u14363, _u14368), _u14366), hAPP(c_COMBK(tc_fun(_u14368, tc_HOL_Obool), _u14363), _u14371))) = hAPP(hAPP(c_Product__Type_OSigma(_u14364, _u14369), _u14367), hAPP(c_COMBK(tc_fun(_u14369, tc_HOL_Obool), _u14364), _u14372))) )).
% 12.32/12.57 cnf(matrix-6289, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14376)), _u14377), hAPP(c_Set_Oimage(tc_prod(_u14378, _u14379), tc_prod(_u14375, _u14376), c_Product__Type_Omap__pair(_u14378, _u14375, _u14379, _u14376, _u14380, _u14381)), _u14382))) | ( _u14377 = hAPP(hAPP(c_Product__Type_OPair(_u14375, _u14376), hAPP(_u14380, skolem322(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375))), hAPP(_u14381, skolem323(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375)))) )).
% 12.32/12.57 cnf(matrix-6290, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14376)), _u14377), hAPP(c_Set_Oimage(tc_prod(_u14378, _u14379), tc_prod(_u14375, _u14376), c_Product__Type_Omap__pair(_u14378, _u14375, _u14379, _u14376, _u14380, _u14381)), _u14382))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14378, _u14379)), hAPP(hAPP(c_Product__Type_OPair(_u14378, _u14379), skolem322(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375)), skolem323(_u14382, _u14381, _u14380, _u14379, _u14378, _u14377, _u14376, _u14375))), _u14382)) )).
% 12.32/12.57 cnf(matrix-6291, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | 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(_u14384, tc_Nat_Onat), _u14386), _u14385))) | hBOOL(hAPP(hAPP(c_member(_u14384), skolem324(_u14386, _u14385, _u14384)), _u14385)) )).
% 12.32/12.57 cnf(matrix-6292, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | 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(_u14384, tc_Nat_Onat), _u14386), _u14385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14386, skolem324(_u14386, _u14385, _u14384)))) )).
% 12.32/12.57 cnf(matrix-6293, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14389, _u14390, _u14391) | ( hAPP(_u14392, hAPP(hAPP(_u14390, skolem325(_u14393, _u14392, _u14391, _u14390, _u14389)), skolem326(_u14393, _u14392, _u14391, _u14390, _u14389))) != hAPP(hAPP(_u14390, hAPP(_u14392, skolem325(_u14393, _u14392, _u14391, _u14390, _u14389))), hAPP(_u14392, skolem326(_u14393, _u14392, _u14391, _u14390, _u14389)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14389), _u14393)) | ( _u14393 = c_Orderings_Obot__class_Obot(tc_fun(_u14389, tc_HOL_Obool))) | ( hAPP(_u14392, hAPP(_u14391, _u14393)) = hAPP(_u14391, hAPP(c_Set_Oimage(_u14389, _u14389, _u14392), _u14393))) )).
% 12.32/12.57 cnf(matrix-6294, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14395), c_Int_OInteg)) | ~hBOOL(hAPP(_u14396, hAPP(c_Int_ORep__Integ, skolem327(_u14396, _u14395)))) | hBOOL(hAPP(_u14396, _u14395)) )).
% 12.32/12.57 cnf(matrix-6295, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14398), c_Int_OInteg)) | ( _u14398 = hAPP(c_Int_ORep__Integ, skolem328(_u14398))) )).
% 12.32/12.57 cnf(matrix-6296, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14400, _u14401, _u14402, _u14403, _u14404, _u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14407)) | ( hAPP(_u14405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407)) = hAPP(hAPP(_u14402, hAPP(_u14405, _u14406)), hAPP(_u14405, _u14407))) | hBOOL(hAPP(hAPP(c_member(_u14401), skolem329(_u14407, _u14406, _u14405, _u14404, _u14403, _u14402, _u14401)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407))) )).
% 12.32/12.57 cnf(matrix-6297, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14400, _u14401, _u14402, _u14403, _u14404, _u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14401), _u14407)) | ( hAPP(_u14405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14401, tc_HOL_Obool)), _u14406), _u14407)) = hAPP(hAPP(_u14402, hAPP(_u14405, _u14406)), hAPP(_u14405, _u14407))) | ( hAPP(_u14404, skolem329(_u14407, _u14406, _u14405, _u14404, _u14403, _u14402, _u14401)) != _u14403) )).
% 12.32/12.57 cnf(matrix-6298, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u14408, tc_fun(_u14408, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_HOL_Obool), tc_fun(tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), _u14408), hAPP(c_COMBC(tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14408, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14408, tc_fun(_u14408, tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), c_Set_Oinsert(_u14408)), c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))))) )).
% 12.32/12.57 cnf(matrix-6299, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14409)) | ( 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)), _u14409))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14410)))) = 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)), _u14409))), 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, _u14410)))))) )).
% 12.32/12.57 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(_u14411, _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14413), _u14412), hAPP(c_Set_OCollect(_u14413), _u14411))) )).
% 12.32/12.57 cnf(matrix-6301, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), hAPP(hAPP(c_COMBS(_u14414, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14414), c_fconj), _u14415)), _u14416)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), _u14415))) )).
% 12.32/12.57 cnf(matrix-6302, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), hAPP(hAPP(c_COMBS(_u14414, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14414), c_fconj), _u14415)), _u14416)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), hAPP(c_Set_OCollect(_u14414), _u14416))) )).
% 12.32/12.57 cnf(matrix-6303, 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)), _u14417)))) )).
% 12.32/12.57 cnf(matrix-6304, 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)), _u14418)))) )).
% 12.32/12.57 cnf(matrix-6305, plain, ( ( hAPP(c_Fun_Ocomp(_u14420, _u14420, _u14420, hAPP(_u14421, _u14422)), hAPP(_u14421, _u14422)) = hAPP(_u14421, _u14422)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14419, _u14420, _u14421) )).
% 12.32/12.57 cnf(matrix-6306, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14423), _u14424), _u14425) = hAPP(c_Set_OCollect(_u14423), hAPP(hAPP(c_COMBS(_u14423, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14423), c_fdisj), hAPP(hAPP(c_COMBC(_u14423, _u14423, tc_HOL_Obool), c_fequal), _u14424))), hAPP(hAPP(c_COMBC(_u14423, tc_fun(_u14423, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14423)), _u14425)))) )).
% 12.32/12.57 cnf(matrix-6307, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14426), _u14427), _u14428) = hAPP(c_Set_OCollect(_u14426), hAPP(hAPP(c_COMBS(_u14426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14426), c_fdisj), hAPP(hAPP(c_COMBC(_u14426, _u14426, tc_HOL_Obool), c_fequal), _u14427))), hAPP(hAPP(c_COMBC(_u14426, tc_fun(_u14426, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14426)), _u14428)))) )).
% 12.32/12.57 cnf(matrix-6308, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u14429, _u14430)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14429, _u14430, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u14429, tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool)), _u14429), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14429), c_fconj), _u14431))), _u14432))) = hAPP(hAPP(c_Product__Type_OSigma(_u14429, _u14430), hAPP(c_Set_OCollect(_u14429), _u14431)), hAPP(hAPP(c_COMBB(tc_fun(_u14430, tc_HOL_Obool), tc_fun(_u14430, tc_HOL_Obool), _u14429), c_Set_OCollect(_u14430)), _u14432))) )).
% 12.32/12.57 cnf(matrix-6309, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u14433, _u14434)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14433, _u14434, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14433, tc_fun(_u14434, tc_HOL_Obool), tc_fun(_u14434, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14434, tc_HOL_Obool), tc_fun(_u14434, tc_HOL_Obool)), _u14433), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14434)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14433), c_fconj), _u14435))), _u14436))) = hAPP(hAPP(c_Product__Type_OSigma(_u14433, _u14434), hAPP(c_Set_OCollect(_u14433), _u14435)), hAPP(c_COMBK(tc_fun(_u14434, tc_HOL_Obool), _u14433), hAPP(c_Set_OCollect(_u14434), _u14436)))) )).
% 12.32/12.57 cnf(matrix-6310, plain, ( ( hAPP(c_Set_Ovimage(_u14437, _u14438, _u14439), hAPP(c_Set_OCollect(_u14438), _u14440)) = hAPP(c_Set_OCollect(_u14437), hAPP(hAPP(c_COMBB(_u14438, tc_HOL_Obool, _u14437), _u14440), _u14439))) )).
% 12.32/12.57 cnf(matrix-6311, plain, ( ( hAPP(c_Set_OCollect(_u14441), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14441), c_fNot), _u14442)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14441, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14441), _u14442))) )).
% 12.32/12.57 cnf(matrix-6312, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), hAPP(hAPP(c_COMBS(_u14446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14446), c_fdisj), _u14448)), _u14450)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), _u14448))) )).
% 12.32/12.57 cnf(matrix-6313, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), hAPP(hAPP(c_COMBS(_u14446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14446), c_fdisj), _u14448)), _u14450)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14446), hAPP(c_Set_OCollect(_u14446), _u14450))) )).
% 12.32/12.57 cnf(matrix-6314, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), _u14449))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), _u14451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), hAPP(c_Set_OCollect(_u14447), hAPP(hAPP(c_COMBS(_u14447, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14447), c_fdisj), _u14449)), _u14451)))) )).
% 12.32/12.57 cnf(matrix-6315, plain, ( ( hAPP(c_Set_OCollect(_u14452), hAPP(hAPP(c_COMBS(_u14452, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14452), c_fconj), _u14453)), _u14454)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14452, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14452), _u14453)), hAPP(c_Set_OCollect(_u14452), _u14454))) )).
% 12.32/12.57 cnf(matrix-6316, plain, ( ~class_Lattices_Osemilattice__inf(_u14455) | c_Finite__Set_Ofun__left__comm__idem(_u14455, _u14455, c_Lattices_Osemilattice__inf__class_Oinf(_u14455)) )).
% 12.32/12.57 cnf(matrix-6317, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14456, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14456), hAPP(c_COMBK(tc_HOL_Obool, _u14456), c_fTrue))) )).
% 12.32/12.57 cnf(matrix-6318, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u14457, tc_fun(_u14457, tc_HOL_Obool), c_Set_Oinsert(_u14457)) )).
% 12.32/12.57 cnf(matrix-6319, plain, ( ( hAPP(c_Set_OCollect(_u14458), _u14459) = _u14459) )).
% 12.32/12.57 cnf(matrix-6320, plain, ( ( hAPP(hAPP(_u14462, _u14463), hAPP(hAPP(_u14462, _u14463), _u14464)) = hAPP(hAPP(_u14462, _u14463), _u14464)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14460, _u14461, _u14462) )).
% 12.32/12.57 cnf(matrix-6321, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14465, _u14466, _u14467) | c_Finite__Set_Ofun__left__comm__idem(_u14468, _u14466, hAPP(hAPP(c_COMBB(_u14465, tc_fun(_u14466, _u14466), _u14468), _u14467), _u14469)) )).
% 12.32/12.57 cnf(matrix-6322, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14470), _u14471), hAPP(c_Set_OCollect(_u14470), _u14472)) = hAPP(c_Set_OCollect(_u14470), hAPP(hAPP(c_COMBS(_u14470, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14470), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14470), c_fNot), hAPP(hAPP(c_COMBC(_u14470, _u14470, tc_HOL_Obool), c_fequal), _u14471)))), _u14472))) )).
% 12.32/12.57 cnf(matrix-6323, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14473, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14473), hAPP(c_COMBK(tc_HOL_Obool, _u14473), c_fFalse))) )).
% 12.32/12.57 cnf(matrix-6324, plain, ( ~hBOOL(hAPP(_u14480, _u14474)) | ( hAPP(c_Set_OCollect(_u14478), _u14480) != c_Orderings_Obot__class_Obot(tc_fun(_u14478, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6325, plain, ( hBOOL(hAPP(_u14481, skolem330(_u14481))) | ( hAPP(c_Set_OCollect(_u14479), _u14481) = c_Orderings_Obot__class_Obot(tc_fun(_u14479, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6326, plain, ( ~hBOOL(hAPP(_u14488, _u14482)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14486, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u14486), _u14488)) )).
% 12.32/12.57 cnf(matrix-6327, plain, ( hBOOL(hAPP(_u14489, skolem331(_u14489))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14487, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14487), _u14489)) )).
% 12.32/12.57 cnf(matrix-6328, plain, ( ( hAPP(c_Set_OCollect(_u14490), hAPP(hAPP(c_COMBS(_u14490, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14490), c_fdisj), _u14491)), _u14492)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14490, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14490), _u14491)), hAPP(c_Set_OCollect(_u14490), _u14492))) )).
% 12.32/12.57 cnf(matrix-6329, plain, ( ~class_Lattices_Osemilattice__sup(_u14493) | c_Finite__Set_Ofun__left__comm__idem(_u14493, _u14493, c_Lattices_Osemilattice__sup__class_Osup(_u14493)) )).
% 12.32/12.57 cnf(matrix-6330, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14494) | c_Finite__Set_Ofun__left__comm__idem(_u14494, _u14494, c_Groups_Otimes__class_Otimes(_u14494)) )).
% 12.32/12.57 cnf(matrix-6331, plain, ( ( hAPP(c_Set_OCollect(_u14495), hAPP(hAPP(c_COMBC(_u14495, tc_fun(_u14495, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14495)), _u14496)) = _u14496) )).
% 12.32/12.57 cnf(matrix-6332, plain, ( hBOOL(hAPP(_u14504, _u14502)) | ~hBOOL(hAPP(hAPP(c_member(_u14500), _u14502), hAPP(c_Set_OCollect(_u14500), _u14504))) )).
% 12.32/12.57 cnf(matrix-6333, plain, ( ~hBOOL(hAPP(_u14505, _u14503)) | hBOOL(hAPP(hAPP(c_member(_u14501), _u14503), hAPP(c_Set_OCollect(_u14501), _u14505))) )).
% 12.32/12.57 cnf(matrix-6334, plain, ( hBOOL(hAPP(_u14508, _u14507)) | ~hBOOL(hAPP(hAPP(c_member(_u14506), _u14507), hAPP(c_Set_OCollect(_u14506), _u14508))) )).
% 12.32/12.57 cnf(matrix-6335, plain, ( hBOOL(hAPP(_u14511, _u14510)) | ~hBOOL(hAPP(hAPP(c_member(_u14509), _u14510), hAPP(c_Set_OCollect(_u14509), _u14511))) )).
% 12.32/12.57 cnf(matrix-6336, plain, ( ~class_Orderings_Olinorder(_u14512) | c_Finite__Set_Ofun__left__comm__idem(_u14512, _u14512, c_Orderings_Oord__class_Omax(_u14512)) )).
% 12.32/12.57 cnf(matrix-6337, plain, ( ~class_Orderings_Olinorder(_u14513) | c_Finite__Set_Ofun__left__comm__idem(_u14513, _u14513, c_Orderings_Oord__class_Omin(_u14513)) )).
% 12.32/12.57 cnf(matrix-6338, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14514, tc_HOL_Obool)), _u14515), _u14516) = hAPP(c_Set_OCollect(_u14514), hAPP(hAPP(c_COMBS(_u14514, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14514), c_fdisj), hAPP(hAPP(c_COMBC(_u14514, tc_fun(_u14514, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14514)), _u14515))), hAPP(hAPP(c_COMBC(_u14514, tc_fun(_u14514, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14514)), _u14516)))) )).
% 12.32/12.57 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14521, tc_HOL_Obool)), _u14525), hAPP(c_Set_OCollect(_u14521), _u14527)))) | hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), _u14525)) )).
% 12.32/12.57 cnf(matrix-6340, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14521, tc_HOL_Obool)), _u14525), hAPP(c_Set_OCollect(_u14521), _u14527)))) | hBOOL(hAPP(_u14527, _u14523)) )).
% 12.32/12.57 cnf(matrix-6341, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14522), _u14524), _u14526)) | ~hBOOL(hAPP(_u14528, _u14524)) | hBOOL(hAPP(hAPP(c_member(_u14522), _u14524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14522, tc_HOL_Obool)), _u14526), hAPP(c_Set_OCollect(_u14522), _u14528)))) )).
% 12.32/12.57 cnf(matrix-6342, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14529, tc_HOL_Obool)), _u14530), _u14531) = hAPP(c_Set_OCollect(_u14529), hAPP(hAPP(c_COMBS(_u14529, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14529), c_fconj), hAPP(hAPP(c_COMBC(_u14529, tc_fun(_u14529, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14529)), _u14530))), hAPP(hAPP(c_COMBC(_u14529, tc_fun(_u14529, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14529)), _u14531)))) )).
% 12.32/12.57 cnf(matrix-6343, plain, ( ( hAPP(c_Set_OCollect(_u14532), hAPP(c_fequal, _u14533)) = hAPP(hAPP(c_Set_Oinsert(_u14532), _u14533), c_Orderings_Obot__class_Obot(tc_fun(_u14532, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6344, plain, ( ( hAPP(c_Set_OCollect(_u14534), hAPP(hAPP(c_COMBC(_u14534, _u14534, tc_HOL_Obool), c_fequal), _u14535)) = hAPP(hAPP(c_Set_Oinsert(_u14534), _u14535), c_Orderings_Obot__class_Obot(tc_fun(_u14534, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(_u14539, _u14541)) | ( hAPP(c_Set_OCollect(_u14543), hAPP(hAPP(c_COMBS(_u14543, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14543), c_fconj), hAPP(c_fequal, _u14541))), _u14539)) = hAPP(hAPP(c_Set_Oinsert(_u14543), _u14541), c_Orderings_Obot__class_Obot(tc_fun(_u14543, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6346, plain, ( hBOOL(hAPP(_u14540, _u14542)) | ( hAPP(c_Set_OCollect(_u14544), hAPP(hAPP(c_COMBS(_u14544, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14544), c_fconj), hAPP(c_fequal, _u14542))), _u14540)) = c_Orderings_Obot__class_Obot(tc_fun(_u14544, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6347, plain, ( ~hBOOL(hAPP(_u14548, _u14550)) | ( hAPP(c_Set_OCollect(_u14552), hAPP(hAPP(c_COMBS(_u14552, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14552), c_fconj), hAPP(hAPP(c_COMBC(_u14552, _u14552, tc_HOL_Obool), c_fequal), _u14550))), _u14548)) = hAPP(hAPP(c_Set_Oinsert(_u14552), _u14550), c_Orderings_Obot__class_Obot(tc_fun(_u14552, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6348, plain, ( hBOOL(hAPP(_u14549, _u14551)) | ( hAPP(c_Set_OCollect(_u14553), hAPP(hAPP(c_COMBS(_u14553, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14553), c_fconj), hAPP(hAPP(c_COMBC(_u14553, _u14553, tc_HOL_Obool), c_fequal), _u14551))), _u14549)) = c_Orderings_Obot__class_Obot(tc_fun(_u14553, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6349, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14554, tc_HOL_Obool)), _u14555), _u14556) = hAPP(c_Set_OCollect(_u14554), hAPP(hAPP(c_COMBS(_u14554, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14554), c_fconj), hAPP(hAPP(c_COMBC(_u14554, tc_fun(_u14554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14554)), _u14555))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14554), c_fNot), hAPP(hAPP(c_COMBC(_u14554, tc_fun(_u14554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14554)), _u14556))))) )).
% 12.32/12.57 cnf(matrix-6350, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), _u14558))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14557), c_fNot), _u14558)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), c_Orderings_Otop__class_Otop(tc_fun(_u14557, tc_HOL_Obool)))) )).
% 12.32/12.57 cnf(matrix-6351, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), _u14558))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), c_Orderings_Otop__class_Otop(tc_fun(_u14557, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14557), hAPP(c_Set_OCollect(_u14557), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14557), c_fNot), _u14558)))) )).
% 12.32/12.57 cnf(matrix-6352, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14559), _u14560), _u14561) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14559, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14559), hAPP(hAPP(c_COMBC(_u14559, _u14559, tc_HOL_Obool), c_fequal), _u14560))), _u14561)) )).
% 12.32/12.57 cnf(matrix-6353, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14562, tc_HOL_Obool)), _u14563) = hAPP(c_Set_OCollect(_u14562), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14562), c_fNot), hAPP(hAPP(c_COMBC(_u14562, tc_fun(_u14562, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14562)), _u14563)))) )).
% 12.32/12.57 cnf(matrix-6354, plain, ( ( hAPP(c_Set_Ovimage(_u14564, _u14565, _u14566), _u14567) = hAPP(c_Set_OCollect(_u14564), hAPP(hAPP(c_COMBC(_u14564, tc_fun(_u14565, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14565, tc_fun(tc_fun(_u14565, tc_HOL_Obool), tc_HOL_Obool), _u14564), c_member(_u14565)), _u14566)), _u14567))) )).
% 12.32/12.57 cnf(matrix-6355, plain, ( ( hAPP(c_Set_OCollect(_u14568), hAPP(hAPP(c_COMBS(_u14568, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14568), c_fimplies), _u14569)), _u14570)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14568), _u14569))), hAPP(c_Set_OCollect(_u14568), _u14570))) )).
% 12.32/12.57 cnf(matrix-6356, plain, ( ( c_Map_Odom(_u14571, _u14572, _u14573) = hAPP(c_Set_OCollect(_u14571), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14571), c_fNot), hAPP(hAPP(c_COMBC(_u14571, tc_Option_Ooption(_u14572), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14572), tc_fun(tc_Option_Ooption(_u14572), tc_HOL_Obool), _u14571), c_fequal), _u14573)), c_Option_Ooption_ONone(_u14572))))) )).
% 12.32/12.57 cnf(matrix-6357, 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), _u14574)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14575))))) )).
% 12.32/12.57 cnf(matrix-6358, plain, ( ~class_Groups_Ocomm__monoid__add(_u14576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14577), _u14578)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14579), _u14580)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14577, _u14576), hAPP(hAPP(c_COMBS(_u14577, tc_fun(_u14579, tc_HOL_Obool), _u14576), hAPP(hAPP(c_COMBB(tc_fun(_u14579, _u14576), tc_fun(tc_fun(_u14579, tc_HOL_Obool), _u14576), _u14577), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14579, _u14576)), _u14581)), hAPP(hAPP(c_COMBB(tc_fun(_u14579, tc_HOL_Obool), tc_fun(_u14579, tc_HOL_Obool), _u14577), c_Set_OCollect(_u14579)), hAPP(hAPP(c_COMBB(tc_fun(_u14579, tc_HOL_Obool), tc_fun(_u14579, tc_HOL_Obool), _u14577), hAPP(c_COMBS(_u14579, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14579), c_fconj), hAPP(hAPP(c_COMBC(_u14579, tc_fun(_u14579, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14579)), _u14580)))), _u14582)))), _u14578) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14579, _u14576), hAPP(hAPP(c_COMBS(_u14579, tc_fun(_u14577, tc_HOL_Obool), _u14576), hAPP(hAPP(c_COMBB(tc_fun(_u14577, _u14576), tc_fun(tc_fun(_u14577, tc_HOL_Obool), _u14576), _u14579), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14577, _u14576)), hAPP(c_COMBC(_u14577, _u14579, _u14576), _u14581))), hAPP(hAPP(c_COMBB(tc_fun(_u14577, tc_HOL_Obool), tc_fun(_u14577, tc_HOL_Obool), _u14579), c_Set_OCollect(_u14577)), hAPP(hAPP(c_COMBB(tc_fun(_u14577, tc_HOL_Obool), tc_fun(_u14577, tc_HOL_Obool), _u14579), hAPP(c_COMBS(_u14577, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14577), c_fconj), hAPP(hAPP(c_COMBC(_u14577, tc_fun(_u14577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14577)), _u14578)))), hAPP(c_COMBC(_u14577, _u14579, tc_HOL_Obool), _u14582))))), _u14580)) )).
% 12.32/12.57 cnf(matrix-6359, plain, ( ( hAPP(c_Set_Oimage(_u14583, _u14584, hAPP(hAPP(c_COMBS(_u14583, _u14584, _u14584), hAPP(hAPP(c_COMBS(_u14583, _u14584, tc_fun(_u14584, _u14584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14584, tc_fun(_u14584, _u14584)), _u14583), c_If(_u14584)), _u14585)), _u14586)), _u14587)), _u14588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14584, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14583, _u14584, _u14586), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14583, tc_HOL_Obool)), _u14588), hAPP(c_Set_OCollect(_u14583), _u14585)))), hAPP(c_Set_Oimage(_u14583, _u14584, _u14587), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14583, tc_HOL_Obool)), _u14588), hAPP(c_Set_OCollect(_u14583), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14583), c_fNot), _u14585)))))) )).
% 12.32/12.57 cnf(matrix-6360, plain, ( ( c_Map_Odom(_u14589, _u14590, hAPP(hAPP(c_COMBS(_u14589, tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590)), hAPP(hAPP(c_COMBS(_u14589, tc_Option_Ooption(_u14590), tc_fun(tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u14590), tc_fun(tc_Option_Ooption(_u14590), tc_Option_Ooption(_u14590))), _u14589), c_If(tc_Option_Ooption(_u14590))), _u14591)), _u14592)), _u14593)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14589, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14589, tc_HOL_Obool)), c_Map_Odom(_u14589, _u14590, _u14592)), hAPP(c_Set_OCollect(_u14589), _u14591))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14589, tc_HOL_Obool)), c_Map_Odom(_u14589, _u14590, _u14593)), hAPP(c_Set_OCollect(_u14589), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14589), c_fNot), _u14591))))) )).
% 12.32/12.57 cnf(matrix-6361, plain, ( ( _u14594 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14595, _u14596), 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)), _u14597)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14595), _u14594)) )).
% 12.32/12.57 cnf(matrix-6362, plain, ( ~class_Groups_Ocomm__monoid__add(_u14598) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14599), _u14600)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14599, _u14598), _u14601), hAPP(c_Set_OCollect(_u14599), hAPP(hAPP(c_COMBS(_u14599, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14599), c_fconj), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14600))), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14602)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14599, _u14598), hAPP(hAPP(c_COMBC(_u14599, _u14598, _u14598), hAPP(hAPP(c_COMBS(_u14599, _u14598, tc_fun(_u14598, _u14598)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14598, tc_fun(_u14598, _u14598)), _u14599), c_If(_u14598)), hAPP(hAPP(c_COMBC(_u14599, tc_fun(_u14599, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14599)), _u14602))), _u14601)), c_Groups_Ozero__class_Ozero(_u14598))), _u14600)) )).
% 12.32/12.57 cnf(matrix-6363, plain, ( ~class_Groups_Ocomm__monoid__add(_u14603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), _u14605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14604, _u14603), _u14606), _u14605) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14607, _u14603), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), _u14603, _u14607), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14604, _u14603), _u14606)), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), tc_fun(_u14604, tc_HOL_Obool), _u14607), c_Set_OCollect(_u14604)), hAPP(hAPP(c_COMBB(tc_fun(_u14604, tc_HOL_Obool), tc_fun(_u14604, tc_HOL_Obool), _u14607), hAPP(c_COMBS(_u14604, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14604), c_fconj), hAPP(hAPP(c_COMBC(_u14604, tc_fun(_u14604, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14604)), _u14605)))), hAPP(c_COMBC(_u14604, _u14607, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14607, tc_fun(_u14607, tc_HOL_Obool), _u14604), c_fequal), _u14608)))))), hAPP(c_Set_Oimage(_u14604, _u14607, _u14608), _u14605))) )).
% 12.32/12.57 cnf(matrix-6364, plain, ( ( hAPP(c_Relation_OImage(_u14609, _u14610, _u14611), hAPP(hAPP(c_Set_Oinsert(_u14609), _u14612), c_Orderings_Obot__class_Obot(tc_fun(_u14609, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u14610), hAPP(hAPP(c_COMBC(_u14610, tc_fun(tc_prod(_u14609, _u14610), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14609, _u14610), tc_fun(tc_fun(tc_prod(_u14609, _u14610), tc_HOL_Obool), tc_HOL_Obool), _u14610), c_member(tc_prod(_u14609, _u14610))), hAPP(c_Product__Type_OPair(_u14609, _u14610), _u14612))), _u14611))) )).
% 12.32/12.57 cnf(matrix-6365, plain, ( ~class_Groups_Ocomm__monoid__add(_u14613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14614), _u14615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), hAPP(hAPP(c_COMBS(_u14614, _u14613, _u14613), hAPP(hAPP(c_COMBS(_u14614, _u14613, tc_fun(_u14613, _u14613)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14613, tc_fun(_u14613, _u14613)), _u14614), c_If(_u14613)), _u14616)), _u14617)), _u14618)), _u14615) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14613), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), _u14617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14614, tc_HOL_Obool)), _u14615), hAPP(c_Set_OCollect(_u14614), _u14616)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14614, _u14613), _u14618), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14614, tc_HOL_Obool)), _u14615), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14614, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14614), _u14616)))))) )).
% 12.32/12.57 cnf(matrix-6366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14619)) | ( 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)), _u14619))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14620))))) = 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)), _u14619))), 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, _u14620)))))) )).
% 12.32/12.57 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14621)) | ( 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)), _u14621))), 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, _u14622))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-6368, plain, ( ( c_Map_Odom(_u14623, _u14624, c_Fun_Ooverride__on(_u14623, tc_Option_Ooption(_u14624), _u14625, _u14626, _u14627)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14623, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14623, tc_HOL_Obool)), c_Map_Odom(_u14623, _u14624, _u14625)), hAPP(c_Set_OCollect(_u14623), hAPP(hAPP(c_COMBC(_u14623, tc_fun(_u14623, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14623)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14623, tc_HOL_Obool)), _u14627), c_Map_Odom(_u14623, _u14624, _u14626)))))), hAPP(c_Set_OCollect(_u14623), hAPP(hAPP(c_COMBC(_u14623, tc_fun(_u14623, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14623)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14623, tc_HOL_Obool)), _u14627), c_Map_Odom(_u14623, _u14624, _u14626)))))) )).
% 12.32/12.57 cnf(matrix-6369, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14629), _u14630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14631), _u14632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14629, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_Nat_Onat, _u14629), c_Finite__Set_Ocard(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), c_Set_OCollect(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), hAPP(c_COMBS(_u14631, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14631), c_fconj), hAPP(hAPP(c_COMBC(_u14631, tc_fun(_u14631, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14631)), _u14632)))), _u14633)))), _u14630) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14634), hAPP(c_Finite__Set_Ocard(_u14631), _u14632))) | hBOOL(hAPP(hAPP(c_member(_u14631), skolem332(_u14634, _u14633, _u14632, _u14631, _u14630, _u14629)), _u14632)) )).
% 12.32/12.57 cnf(matrix-6370, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14629), _u14630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14631), _u14632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14629, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_Nat_Onat, _u14629), c_Finite__Set_Ocard(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), c_Set_OCollect(_u14631)), hAPP(hAPP(c_COMBB(tc_fun(_u14631, tc_HOL_Obool), tc_fun(_u14631, tc_HOL_Obool), _u14629), hAPP(c_COMBS(_u14631, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14631), c_fconj), hAPP(hAPP(c_COMBC(_u14631, tc_fun(_u14631, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14631)), _u14632)))), _u14633)))), _u14630) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14634), hAPP(c_Finite__Set_Ocard(_u14631), _u14632))) | ( hAPP(c_Finite__Set_Ocard(_u14629), hAPP(c_Set_OCollect(_u14629), hAPP(hAPP(c_COMBS(_u14629, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14629), c_fconj), hAPP(hAPP(c_COMBC(_u14629, tc_fun(_u14629, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14629)), _u14630))), hAPP(hAPP(c_COMBC(_u14629, _u14631, tc_HOL_Obool), _u14633), skolem332(_u14634, _u14633, _u14632, _u14631, _u14630, _u14629))))) != _u14634) )).
% 12.32/12.57 cnf(matrix-6371, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14635), _u14636)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14635, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u14635, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14635, tc_HOL_Obool), tc_fun(_u14635, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14635, tc_HOL_Obool))), _u14636)))) )).
% 12.32/12.57 cnf(matrix-6372, plain, ( ( hAPP(c_Set_OPow(_u14637), _u14638) = hAPP(c_Set_OCollect(tc_fun(_u14637, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14637, tc_HOL_Obool), tc_fun(_u14637, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14637, tc_HOL_Obool))), _u14638))) )).
% 12.32/12.57 cnf(matrix-6373, plain, ( hBOOL(hAPP(hAPP(c_member(_u14639), _u14640), _u14641)) | ( hAPP(c_Fun_Ooverride__on(_u14639, _u14642, _u14643, _u14644, _u14641), _u14640) = hAPP(_u14643, _u14640)) )).
% 12.32/12.57 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14645), _u14646), _u14647)) | ( hAPP(c_Fun_Ooverride__on(_u14645, _u14648, _u14649, _u14650, _u14647), _u14646) = hAPP(_u14650, _u14646)) )).
% 12.32/12.57 cnf(matrix-6375, plain, ( ( c_Fun_Ooverride__on(_u14651, _u14652, _u14653, _u14654, c_Orderings_Obot__class_Obot(tc_fun(_u14651, tc_HOL_Obool))) = _u14653) )).
% 12.32/12.57 cnf(matrix-6376, plain, ( c_Fun_Oinj__on(tc_fun(_u14655, _u14656), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(_u14655, _u14656)), c_Set_OCollect(tc_prod(_u14655, _u14656))), hAPP(hAPP(c_COMBB(tc_fun(_u14655, tc_fun(_u14656, tc_HOL_Obool)), tc_fun(tc_prod(_u14655, _u14656), tc_HOL_Obool), tc_fun(_u14655, _u14656)), c_Product__Type_Oprod_Oprod__case(_u14655, _u14656, tc_HOL_Obool)), hAPP(c_COMBB(_u14656, tc_fun(_u14656, tc_HOL_Obool), _u14655), hAPP(c_COMBC(_u14656, _u14656, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u14655, _u14656), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6377, 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)))), _u14657))) )).
% 12.32/12.57 cnf(matrix-6378, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14664), _u14666), _u14668)) | ( hAPP(c_Fun_Ooverride__on(_u14664, _u14670, _u14672, _u14674, _u14668), _u14666) = hAPP(_u14674, _u14666)) )).
% 12.32/12.57 cnf(matrix-6379, plain, ( hBOOL(hAPP(hAPP(c_member(_u14665), _u14667), _u14669)) | ( hAPP(c_Fun_Ooverride__on(_u14665, _u14671, _u14673, _u14675, _u14669), _u14667) = hAPP(_u14673, _u14667)) )).
% 12.32/12.57 cnf(matrix-6380, plain, ( ( c_Wellfounded_Ofinite__psubset(_u14676) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14676, tc_HOL_Obool)), c_COMBS(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14676, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14676, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14676, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u14676, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u14676))))) )).
% 12.32/12.57 cnf(matrix-6381, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u14677, _u14678), _u14679), _u14680) = hAPP(c_Set_OCollect(tc_prod(_u14678, _u14678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14678, _u14678, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14678, tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool)), _u14678), c_COMBC(_u14678, tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_prod(_u14677, _u14677)), tc_fun(_u14678, tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool)), _u14678), hAPP(c_COMBB(tc_prod(_u14677, _u14677), tc_fun(tc_fun(tc_prod(_u14677, _u14677), tc_HOL_Obool), tc_HOL_Obool), _u14678), c_member(tc_prod(_u14677, _u14677)))), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, _u14677), tc_fun(_u14678, tc_prod(_u14677, _u14677))), hAPP(hAPP(c_COMBB(tc_fun(_u14677, tc_prod(_u14677, _u14677)), tc_fun(tc_fun(_u14678, _u14677), tc_fun(_u14678, tc_prod(_u14677, _u14677))), _u14678), c_COMBB(_u14677, tc_prod(_u14677, _u14677), _u14678)), hAPP(hAPP(c_COMBB(_u14677, tc_fun(_u14677, tc_prod(_u14677, _u14677)), _u14678), c_Product__Type_OPair(_u14677, _u14677)), _u14680))), _u14680)))), _u14679)))) )).
% 12.32/12.57 cnf(matrix-6382, 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)))), _u14681)) = 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), _u14681), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.32/12.57 cnf(matrix-6383, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u14682) = 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), _u14682), c_Int_Onat))))) )).
% 12.32/12.57 cnf(matrix-6384, plain, ( ( c_Nitpick_Oprod(_u14683, _u14684, _u14685, _u14686) = hAPP(c_Set_OCollect(tc_prod(_u14683, _u14684)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14683, _u14684, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14683, tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool)), _u14683), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14684)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14683), c_fconj), hAPP(hAPP(c_COMBC(_u14683, tc_fun(_u14683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14683)), _u14685)))), hAPP(hAPP(c_COMBC(_u14684, tc_fun(_u14684, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14684)), _u14686))))) )).
% 12.32/12.57 cnf(matrix-6385, plain, ( ( c_Int_Oint__ge__less__than2(_u14687) = 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), _u14687)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.32/12.57 cnf(matrix-6386, plain, ( ( c_Int_Oint__ge__less__than(_u14688) = 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), _u14688)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.32/12.57 cnf(matrix-6387, plain, ( ~c_Predicate_Oreflp(_u14691, _u14693) | c_Relation_Orefl__on(_u14691, c_Orderings_Otop__class_Otop(tc_fun(_u14691, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14691, _u14691)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14691, _u14691, tc_HOL_Obool), _u14693))) )).
% 12.32/12.57 cnf(matrix-6388, plain, ( ~c_Relation_Orefl__on(_u14692, c_Orderings_Otop__class_Otop(tc_fun(_u14692, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14692, _u14692)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14692, _u14692, tc_HOL_Obool), _u14694))) | c_Predicate_Oreflp(_u14692, _u14694) )).
% 12.32/12.57 cnf(matrix-6389, plain, ( hBOOL(hAPP(hAPP(_u14696, _u14697), _u14697)) | ~c_Predicate_Oreflp(_u14695, _u14696) )).
% 12.32/12.57 cnf(matrix-6390, plain, ( ~class_Orderings_Olinorder(_u14698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14698), _u14699)) | ( _u14699 = c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14698), _u14700)) | ( _u14700 = c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14698), c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), _u14699)), c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), _u14700)) = c_Big__Operators_Olattice_OSup__fin(_u14698, c_Orderings_Oord__class_Omax(_u14698), hAPP(c_Set_OCollect(_u14698), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool, _u14698), c_HOL_OEx(_u14698)), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_HOL_Obool), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool, _u14698), c_HOL_OEx(_u14698))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), tc_fun(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), _u14698), c_COMBS(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14698, tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool))), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBS(_u14698, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool)), tc_fun(_u14698, tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14698), hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14698), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14698), c_fconj))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_fun(_u14698, _u14698)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool)), tc_fun(tc_fun(_u14698, tc_fun(_u14698, _u14698)), tc_fun(_u14698, tc_fun(_u14698, tc_HOL_Obool))), _u14698), c_COMBB(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool), _u14698)), hAPP(hAPP(c_COMBB(tc_fun(_u14698, tc_HOL_Obool), tc_fun(tc_fun(_u14698, _u14698), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBB(_u14698, tc_HOL_Obool, _u14698)), c_fequal))), c_Orderings_Oord__class_Omin(_u14698)))))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14698, tc_HOL_Obool), tc_fun(_u14698, tc_HOL_Obool)), _u14698), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14698)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14698), c_fconj), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14698)), _u14699)))), hAPP(hAPP(c_COMBC(_u14698, tc_fun(_u14698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14698)), _u14700)))))))) )).
% 12.32/12.57 cnf(matrix-6391, plain, ( ~class_Orderings_Olinorder(_u14701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14701), _u14702)) | ( _u14702 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14701), _u14703)) | ( _u14703 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14701), c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), _u14702)), c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), _u14703)) = c_Big__Operators_Olattice_OInf__fin(_u14701, c_Orderings_Oord__class_Omin(_u14701), hAPP(c_Set_OCollect(_u14701), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool, _u14701), c_HOL_OEx(_u14701)), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_HOL_Obool), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool, _u14701), c_HOL_OEx(_u14701))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), tc_fun(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), _u14701), c_COMBS(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14701, tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool))), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBS(_u14701, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool)), tc_fun(_u14701, tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14701), hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14701), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14701), c_fconj))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_fun(_u14701, _u14701)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool)), tc_fun(tc_fun(_u14701, tc_fun(_u14701, _u14701)), tc_fun(_u14701, tc_fun(_u14701, tc_HOL_Obool))), _u14701), c_COMBB(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool), _u14701)), hAPP(hAPP(c_COMBB(tc_fun(_u14701, tc_HOL_Obool), tc_fun(tc_fun(_u14701, _u14701), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBB(_u14701, tc_HOL_Obool, _u14701)), c_fequal))), c_Orderings_Oord__class_Omax(_u14701)))))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14701, tc_HOL_Obool), tc_fun(_u14701, tc_HOL_Obool)), _u14701), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14701)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14701), c_fconj), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14701)), _u14702)))), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14701, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14701)), _u14703)))))))) )).
% 12.32/12.57 cnf(matrix-6392, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14704), hAPP(c_Set_OCollect(_u14704), _u14705))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14706), hAPP(c_Set_OCollect(_u14706), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_HOL_Obool), tc_HOL_Obool, _u14706), c_HOL_OEx(_u14704)), hAPP(hAPP(c_COMBC(_u14706, tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_HOL_Obool)), _u14706), c_COMBS(_u14704, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14704, tc_HOL_Obool), tc_fun(_u14704, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14706), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14704), c_fconj)), hAPP(hAPP(c_COMBC(_u14706, tc_fun(_u14704, _u14706), tc_fun(_u14704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14706, tc_HOL_Obool), tc_fun(tc_fun(_u14704, _u14706), tc_fun(_u14704, tc_HOL_Obool)), _u14706), c_COMBB(_u14706, tc_HOL_Obool, _u14704)), c_fequal)), _u14707)))), _u14705))))) )).
% 12.32/12.57 cnf(matrix-6393, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | ~hBOOL(hAPP(_u14711, _u14708)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBC(_u14712, _u14710, tc_HOL_Obool), _u14713), _u14708)))) )).
% 12.32/12.57 cnf(matrix-6394, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | hBOOL(hAPP(_u14711, skolem333(_u14713, _u14712, _u14711, _u14710))) )).
% 12.32/12.57 cnf(matrix-6395, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14710), hAPP(c_Set_OCollect(_u14710), _u14711))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_HOL_Obool, _u14712), c_HOL_OEx(_u14710)), hAPP(hAPP(c_COMBB(tc_fun(_u14710, tc_HOL_Obool), tc_fun(_u14710, tc_HOL_Obool), _u14712), hAPP(c_COMBS(_u14710, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14710), c_fconj), _u14711))), _u14713))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14712), hAPP(c_Set_OCollect(_u14712), hAPP(hAPP(c_COMBC(_u14712, _u14710, tc_HOL_Obool), _u14713), skolem333(_u14713, _u14712, _u14711, _u14710))))) )).
% 12.32/12.57 cnf(matrix-6396, plain, ( ( c_Map_Oran(_u14714, _u14715, _u14716) = hAPP(c_Set_OCollect(_u14715), hAPP(hAPP(c_COMBB(tc_fun(_u14714, tc_HOL_Obool), tc_HOL_Obool, _u14715), c_HOL_OEx(_u14714)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14715), tc_fun(_u14714, tc_HOL_Obool), _u14715), hAPP(c_COMBC(_u14714, tc_Option_Ooption(_u14715), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14715), tc_fun(tc_Option_Ooption(_u14715), tc_HOL_Obool), _u14714), c_fequal), _u14716))), c_Option_Ooption_OSome(_u14715))))) )).
% 12.32/12.57 cnf(matrix-6397, plain, ( ( hAPP(c_Set_OPow(_u14717), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14717, tc_HOL_Obool)), _u14718)) = hAPP(c_Set_OCollect(tc_fun(_u14717, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u14717, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), c_COMBS(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u14717, tc_HOL_Obool), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_fun(_u14717, tc_HOL_Obool)), tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14717, tc_HOL_Obool)), c_COMBB(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14717, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14717, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14717, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u14717, tc_HOL_Obool)), _u14718)), c_Set_OPow(_u14717)))))) )).
% 12.32/12.57 cnf(matrix-6398, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14719), _u14720)) | ( _u14720 = c_Orderings_Obot__class_Obot(tc_fun(_u14719, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14719), _u14721), c_Big__Operators_Olinorder__class_OMax(_u14719, _u14720)) = c_Big__Operators_Olinorder__class_OMax(_u14719, hAPP(c_Set_OCollect(_u14719), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_HOL_Obool, _u14719), c_HOL_OEx(_u14719)), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool)), _u14719), c_COMBS(_u14719, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14719), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14719), c_fconj)), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, _u14719), tc_fun(_u14719, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(tc_fun(_u14719, _u14719), tc_fun(_u14719, tc_HOL_Obool)), _u14719), c_COMBB(_u14719, tc_HOL_Obool, _u14719)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14719), _u14721))))), hAPP(hAPP(c_COMBC(_u14719, tc_fun(_u14719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14719)), _u14720)))))) )).
% 12.32/12.57 cnf(matrix-6399, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14722), _u14723)) | ( _u14723 = c_Orderings_Obot__class_Obot(tc_fun(_u14722, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14722), _u14724), c_Big__Operators_Olinorder__class_OMin(_u14722, _u14723)) = c_Big__Operators_Olinorder__class_OMin(_u14722, hAPP(c_Set_OCollect(_u14722), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_HOL_Obool, _u14722), c_HOL_OEx(_u14722)), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_HOL_Obool)), _u14722), c_COMBS(_u14722, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_fun(_u14722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14722), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14722), c_fconj)), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, _u14722), tc_fun(_u14722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14722, tc_HOL_Obool), tc_fun(tc_fun(_u14722, _u14722), tc_fun(_u14722, tc_HOL_Obool)), _u14722), c_COMBB(_u14722, tc_HOL_Obool, _u14722)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14722), _u14724))))), hAPP(hAPP(c_COMBC(_u14722, tc_fun(_u14722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14722)), _u14723)))))) )).
% 12.32/12.57 cnf(matrix-6400, plain, ( ~class_Lattices_Odistrib__lattice(_u14725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14725), _u14726)) | ( _u14726 = c_Orderings_Obot__class_Obot(tc_fun(_u14725, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14725), _u14727)) | ( _u14727 = c_Orderings_Obot__class_Obot(tc_fun(_u14725, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14725), c_Big__Operators_Olattice__class_OInf__fin(_u14725, _u14726)), c_Big__Operators_Olattice__class_OInf__fin(_u14725, _u14727)) = c_Big__Operators_Olattice__class_OInf__fin(_u14725, hAPP(c_Set_OCollect(_u14725), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool, _u14725), c_HOL_OEx(_u14725)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_HOL_Obool), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool, _u14725), c_HOL_OEx(_u14725))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), tc_fun(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), _u14725), c_COMBS(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14725, tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool))), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBS(_u14725, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool)), tc_fun(_u14725, tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14725), hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14725), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14725), c_fconj))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_fun(_u14725, _u14725)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool)), tc_fun(tc_fun(_u14725, tc_fun(_u14725, _u14725)), tc_fun(_u14725, tc_fun(_u14725, tc_HOL_Obool))), _u14725), c_COMBB(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool), _u14725)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_HOL_Obool), tc_fun(tc_fun(_u14725, _u14725), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBB(_u14725, tc_HOL_Obool, _u14725)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14725)))))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14725, tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14725)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14725), c_fconj), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14725)), _u14726)))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14725)), _u14727)))))))) )).
% 12.32/12.57 cnf(matrix-6401, plain, ( ~class_Lattices_Odistrib__lattice(_u14728) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14728), _u14729)) | ( _u14729 = c_Orderings_Obot__class_Obot(tc_fun(_u14728, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14728), _u14730), c_Big__Operators_Olattice__class_OInf__fin(_u14728, _u14729)) = c_Big__Operators_Olattice__class_OInf__fin(_u14728, hAPP(c_Set_OCollect(_u14728), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_HOL_Obool, _u14728), c_HOL_OEx(_u14728)), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_HOL_Obool)), _u14728), c_COMBS(_u14728, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_fun(_u14728, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14728), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14728), c_fconj)), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, _u14728), tc_fun(_u14728, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14728, tc_HOL_Obool), tc_fun(tc_fun(_u14728, _u14728), tc_fun(_u14728, tc_HOL_Obool)), _u14728), c_COMBB(_u14728, tc_HOL_Obool, _u14728)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14728), _u14730))))), hAPP(hAPP(c_COMBC(_u14728, tc_fun(_u14728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14728)), _u14729)))))) )).
% 12.32/12.57 cnf(matrix-6402, plain, ( ~class_Lattices_Odistrib__lattice(_u14731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14731), _u14732)) | ( _u14732 = c_Orderings_Obot__class_Obot(tc_fun(_u14731, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14731), _u14733), c_Big__Operators_Olattice__class_OSup__fin(_u14731, _u14732)) = c_Big__Operators_Olattice__class_OSup__fin(_u14731, hAPP(c_Set_OCollect(_u14731), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool, _u14731), c_HOL_OEx(_u14731)), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), _u14731), c_COMBS(_u14731, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14731), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14731), c_fconj)), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, _u14731), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14731, tc_HOL_Obool), tc_fun(tc_fun(_u14731, _u14731), tc_fun(_u14731, tc_HOL_Obool)), _u14731), c_COMBB(_u14731, tc_HOL_Obool, _u14731)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14731), _u14733))))), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14731)), _u14732)))))) )).
% 12.32/12.57 cnf(matrix-6403, plain, ( ~class_Lattices_Odistrib__lattice(_u14734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14734), _u14735)) | ( _u14735 = c_Orderings_Obot__class_Obot(tc_fun(_u14734, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14734), _u14736)) | ( _u14736 = c_Orderings_Obot__class_Obot(tc_fun(_u14734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14734), c_Big__Operators_Olattice__class_OSup__fin(_u14734, _u14735)), c_Big__Operators_Olattice__class_OSup__fin(_u14734, _u14736)) = c_Big__Operators_Olattice__class_OSup__fin(_u14734, hAPP(c_Set_OCollect(_u14734), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool, _u14734), c_HOL_OEx(_u14734)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_HOL_Obool), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool, _u14734), c_HOL_OEx(_u14734))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), tc_fun(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), _u14734), c_COMBS(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14734, tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool))), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBS(_u14734, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool)), tc_fun(_u14734, tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14734), hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14734), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14734), c_fconj))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_fun(_u14734, _u14734)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool)), tc_fun(tc_fun(_u14734, tc_fun(_u14734, _u14734)), tc_fun(_u14734, tc_fun(_u14734, tc_HOL_Obool))), _u14734), c_COMBB(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool), _u14734)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(tc_fun(_u14734, _u14734), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBB(_u14734, tc_HOL_Obool, _u14734)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14734)))))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14734), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14734)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14734), c_fconj), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14734)), _u14735)))), hAPP(hAPP(c_COMBC(_u14734, tc_fun(_u14734, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14734)), _u14736)))))))) )).
% 12.32/12.57 cnf(matrix-6404, plain, ( ~class_Orderings_Olinorder(_u14737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14737), _u14738)) | ( _u14738 = c_Orderings_Obot__class_Obot(tc_fun(_u14737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14737), _u14739), c_Big__Operators_Olattice_OInf__fin(_u14737, c_Orderings_Oord__class_Omin(_u14737), _u14738)) = c_Big__Operators_Olattice_OInf__fin(_u14737, c_Orderings_Oord__class_Omin(_u14737), hAPP(c_Set_OCollect(_u14737), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_HOL_Obool, _u14737), c_HOL_OEx(_u14737)), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_HOL_Obool)), _u14737), c_COMBS(_u14737, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_fun(_u14737, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14737), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14737), c_fconj)), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, _u14737), tc_fun(_u14737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14737, tc_HOL_Obool), tc_fun(tc_fun(_u14737, _u14737), tc_fun(_u14737, tc_HOL_Obool)), _u14737), c_COMBB(_u14737, tc_HOL_Obool, _u14737)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14737), _u14739))))), hAPP(hAPP(c_COMBC(_u14737, tc_fun(_u14737, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14737)), _u14738)))))) )).
% 12.32/12.57 cnf(matrix-6405, plain, ( ~class_Orderings_Olinorder(_u14740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14740), _u14741)) | ( _u14741 = c_Orderings_Obot__class_Obot(tc_fun(_u14740, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14740), _u14742), c_Big__Operators_Olattice_OSup__fin(_u14740, c_Orderings_Oord__class_Omax(_u14740), _u14741)) = c_Big__Operators_Olattice_OSup__fin(_u14740, c_Orderings_Oord__class_Omax(_u14740), hAPP(c_Set_OCollect(_u14740), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_HOL_Obool, _u14740), c_HOL_OEx(_u14740)), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_HOL_Obool)), _u14740), c_COMBS(_u14740, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_fun(_u14740, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14740), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14740), c_fconj)), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, _u14740), tc_fun(_u14740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14740, tc_HOL_Obool), tc_fun(tc_fun(_u14740, _u14740), tc_fun(_u14740, tc_HOL_Obool)), _u14740), c_COMBB(_u14740, tc_HOL_Obool, _u14740)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14740), _u14742))))), hAPP(hAPP(c_COMBC(_u14740, tc_fun(_u14740, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14740)), _u14741)))))) )).
% 12.32/12.57 cnf(matrix-6406, plain, ( ~class_Rings_Osemiring__0(_u14743) | ~c_Fun_Oinj__on(tc_prod(_u14744, _u14745), _u14743, hAPP(c_Product__Type_Oprod_Oprod__case(_u14744, _u14745, _u14743), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, _u14743), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), _u14744), c_COMBB(_u14743, _u14743, _u14745)), hAPP(hAPP(c_COMBB(_u14743, tc_fun(_u14743, _u14743), _u14744), c_Groups_Otimes__class_Otimes(_u14743)), _u14746))), _u14747)), hAPP(hAPP(c_Product__Type_OSigma(_u14744, _u14745), _u14748), hAPP(c_COMBK(tc_fun(_u14745, tc_HOL_Obool), _u14744), _u14749))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14743), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14744, _u14743), _u14746), _u14748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14745, _u14743), _u14747), _u14749)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14743, _u14743), c_Fun_Oid(_u14743)), hAPP(c_Set_OCollect(_u14743), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool, _u14743), c_HOL_OEx(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_HOL_Obool), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14744), c_HOL_OEx(_u14745))), hAPP(hAPP(c_COMBC(_u14743, tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), tc_fun(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), _u14743), c_COMBS(_u14744, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14744, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), _u14744), c_COMBS(_u14745, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14744, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14743), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14744), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj))), hAPP(hAPP(c_COMBC(_u14743, tc_fun(_u14744, tc_fun(_u14745, _u14743)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool)), tc_fun(tc_fun(_u14744, tc_fun(_u14745, _u14743)), tc_fun(_u14744, tc_fun(_u14745, tc_HOL_Obool))), _u14743), c_COMBB(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool), _u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, tc_HOL_Obool), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, tc_HOL_Obool)), _u14743), c_COMBB(_u14743, tc_HOL_Obool, _u14745)), c_fequal))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), hAPP(hAPP(c_COMBB(tc_fun(_u14743, _u14743), tc_fun(tc_fun(_u14745, _u14743), tc_fun(_u14745, _u14743)), _u14744), c_COMBB(_u14743, _u14743, _u14745)), hAPP(hAPP(c_COMBB(_u14743, tc_fun(_u14743, _u14743), _u14744), c_Groups_Otimes__class_Otimes(_u14743)), _u14746))), _u14747)))))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool)), _u14744), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14745)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14744), c_fconj), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744)), _u14748)))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14749)))))))) )).
% 12.32/12.57 cnf(matrix-6407, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14751), _u14752)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), _u14754)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14751, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_Nat_Onat, _u14751), c_Finite__Set_Ocard(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), c_Set_OCollect(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), hAPP(c_COMBS(_u14753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14753), c_fconj), hAPP(hAPP(c_COMBC(_u14753, tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14753)), _u14754)))), _u14755)))), _u14752) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14753, tc_Nat_Onat), _u14756), _u14754)) | hBOOL(hAPP(hAPP(c_member(_u14753), skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751)), _u14754)) )).
% 12.32/12.57 cnf(matrix-6408, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14751), _u14752)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), _u14754)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14751, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_Nat_Onat, _u14751), c_Finite__Set_Ocard(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), c_Set_OCollect(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14751), hAPP(c_COMBS(_u14753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14753), c_fconj), hAPP(hAPP(c_COMBC(_u14753, tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14753)), _u14754)))), _u14755)))), _u14752) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14753, tc_Nat_Onat), _u14756), _u14754)) | ( hAPP(c_Finite__Set_Ocard(_u14751), hAPP(c_Set_OCollect(_u14751), hAPP(hAPP(c_COMBS(_u14751, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14751), c_fconj), hAPP(hAPP(c_COMBC(_u14751, tc_fun(_u14751, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14751)), _u14752))), hAPP(hAPP(c_COMBC(_u14751, _u14753, tc_HOL_Obool), _u14755), skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751))))) != hAPP(_u14756, skolem334(_u14756, _u14755, _u14754, _u14753, _u14752, _u14751))) )).
% 12.32/12.57 cnf(matrix-6409, plain, ( c_Fun_Oinj__on(_u14757, _u14757, c_Fun_Oid(_u14757), _u14758) )).
% 12.32/12.57 cnf(matrix-6410, plain, ( ( c_Product__Type_Omap__pair(_u14759, _u14759, _u14760, _u14760, c_COMBI(_u14759), c_COMBI(_u14760)) = c_Fun_Oid(tc_prod(_u14759, _u14760))) )).
% 12.32/12.57 cnf(matrix-6411, plain, ( ( c_Product__Type_Omap__pair(_u14761, _u14761, _u14762, _u14762, c_Fun_Oid(_u14761), c_Fun_Oid(_u14762)) = c_Fun_Oid(tc_prod(_u14761, _u14762))) )).
% 12.32/12.57 cnf(matrix-6412, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.32/12.57 cnf(matrix-6413, plain, ( ( hAPP(c_Fun_Oid(_u14763), _u14764) = _u14764) )).
% 12.32/12.57 cnf(matrix-6414, plain, ( ( hAPP(c_Fun_Oid(_u14765), _u14766) = _u14766) )).
% 12.32/12.57 cnf(matrix-6415, plain, ( ( c_Product__Type_Oapfst(_u14767, _u14767, _u14768, c_Fun_Oid(_u14767)) = c_Fun_Oid(tc_prod(_u14767, _u14768))) )).
% 12.32/12.57 cnf(matrix-6416, plain, ( ( c_Product__Type_Oapsnd(_u14769, _u14769, _u14770, c_Fun_Oid(_u14769)) = c_Fun_Oid(tc_prod(_u14770, _u14769))) )).
% 12.32/12.57 cnf(matrix-6417, plain, ( ( hAPP(c_Set_Ovimage(_u14771, _u14771, c_Fun_Oid(_u14771)), _u14772) = _u14772) )).
% 12.32/12.57 cnf(matrix-6418, plain, ( ( hAPP(_u14776, hAPP(_u14777, _u14779)) = hAPP(_u14778, _u14779)) | ( hAPP(c_Fun_Ocomp(_u14773, _u14774, _u14775, _u14776), _u14777) != hAPP(c_Fun_Ocomp(_u14774, _u14774, _u14775, c_Fun_Oid(_u14774)), _u14778)) )).
% 12.32/12.57 cnf(matrix-6419, plain, ( ( hAPP(c_Fun_Ocomp(_u14780, _u14780, _u14781, c_Fun_Oid(_u14780)), _u14782) = _u14782) )).
% 12.32/12.57 cnf(matrix-6420, plain, ( ( hAPP(c_Fun_Ocomp(_u14783, _u14784, _u14783, _u14785), c_Fun_Oid(_u14783)) = _u14785) )).
% 12.32/12.57 cnf(matrix-6421, plain, ( ( hAPP(c_Set_Oimage(_u14786, _u14786, c_Fun_Oid(_u14786)), c_Orderings_Otop__class_Otop(tc_fun(_u14786, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14786, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6422, plain, ( ( hAPP(c_Set_Oimage(_u14787, _u14787, c_Fun_Oid(_u14787)), _u14788) = _u14788) )).
% 12.32/12.57 cnf(matrix-6423, plain, ( ~c_Finite__Set_Ofolding(_u14789, _u14790, _u14791, _u14792) | ( hAPP(_u14792, c_Orderings_Obot__class_Obot(tc_fun(_u14789, tc_HOL_Obool))) = c_Fun_Oid(_u14790)) )).
% 12.32/12.57 cnf(matrix-6424, plain, ( ( c_Product__Type_Oapfst(_u14793, _u14794, _u14795, _u14796) = c_Product__Type_Omap__pair(_u14793, _u14794, _u14795, _u14795, _u14796, c_Fun_Oid(_u14795))) )).
% 12.32/12.57 cnf(matrix-6425, plain, ( ( c_Product__Type_Oapsnd(_u14797, _u14798, _u14799, _u14800) = c_Product__Type_Omap__pair(_u14799, _u14799, _u14797, _u14798, c_Fun_Oid(_u14799), _u14800)) )).
% 12.32/12.57 cnf(matrix-6426, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14801, _u14802, tc_prod(_u14801, _u14802)), c_Product__Type_OPair(_u14801, _u14802)) = c_Fun_Oid(tc_prod(_u14801, _u14802))) )).
% 12.32/12.57 cnf(matrix-6427, plain, ( ~class_Groups_Ocomm__monoid__add(_u14803) | ~c_Fun_Oinj__on(_u14804, _u14803, _u14805, _u14806) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14804, _u14803), _u14805), _u14806) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14803, _u14803), c_Fun_Oid(_u14803)), hAPP(c_Set_Oimage(_u14804, _u14803, _u14805), _u14806))) )).
% 12.32/12.57 cnf(matrix-6428, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14807) | ~c_Fun_Oinj__on(_u14808, _u14807, _u14809, _u14810) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14808, _u14807), _u14809), _u14810) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14807, _u14807), c_Fun_Oid(_u14807)), hAPP(c_Set_Oimage(_u14808, _u14807, _u14809), _u14810))) )).
% 12.32/12.57 cnf(matrix-6429, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14817), _u14819)) | ( _u14819 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14817, skolem336(_u14819, _u14817)), 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)), skolem335(_u14819, _u14817))))) )).
% 12.32/12.57 cnf(matrix-6430, plain, ( ( _u14820 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14818, _u14813), 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)), _u14814)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14818), _u14820)) )).
% 12.32/12.57 cnf(matrix-6431, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14821, _u14822, _u14823), _u14824), _u14825) = hAPP(c_Set_OCollect(tc_prod(_u14821, _u14823)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14821, _u14823, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_HOL_Obool), _u14821), hAPP(c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_HOL_Obool, _u14823), c_HOL_OEx(_u14822))), hAPP(hAPP(c_COMBC(_u14821, tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), tc_fun(tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool)), tc_fun(_u14823, tc_fun(_u14822, tc_HOL_Obool))), _u14821), c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool), _u14823)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14821), c_COMBS(_u14822, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_HOL_Obool), tc_fun(_u14822, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14821), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14822), c_fconj)), hAPP(hAPP(c_COMBC(_u14821, tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14821), c_COMBC(_u14822, tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_prod(_u14821, _u14822)), tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool)), _u14821), hAPP(c_COMBB(tc_prod(_u14821, _u14822), tc_fun(tc_fun(tc_prod(_u14821, _u14822), tc_HOL_Obool), tc_HOL_Obool), _u14822), c_member(tc_prod(_u14821, _u14822)))), c_Product__Type_OPair(_u14821, _u14822)))), _u14824))))), hAPP(hAPP(c_COMBC(_u14823, tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_fun(_u14822, tc_HOL_Obool)), _u14823), c_COMBC(_u14822, tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14822, tc_prod(_u14822, _u14823)), tc_fun(_u14822, tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool)), _u14823), hAPP(c_COMBB(tc_prod(_u14822, _u14823), tc_fun(tc_fun(tc_prod(_u14822, _u14823), tc_HOL_Obool), tc_HOL_Obool), _u14822), c_member(tc_prod(_u14822, _u14823)))), hAPP(c_COMBC(_u14822, _u14823, tc_prod(_u14822, _u14823)), c_Product__Type_OPair(_u14822, _u14823))))), _u14825)))))) )).
% 12.32/12.57 cnf(matrix-6432, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14826, _u14827)), hAPP(hAPP(c_Product__Type_OPair(_u14826, _u14827), _u14828), _u14829)), _u14830)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14827, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14827, _u14831), _u14829), _u14832)), _u14833)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14826, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14826, _u14831), _u14828), _u14832)), hAPP(hAPP(c_Relation_Orel__comp(_u14826, _u14827, _u14831), _u14830), _u14833))) )).
% 12.32/12.57 cnf(matrix-6433, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14834, _u14835, _u14836), _u14837), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14838, tc_fun(tc_prod(_u14835, _u14836), tc_HOL_Obool)), _u14839), _u14840)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14838, tc_fun(tc_prod(_u14834, _u14836), tc_HOL_Obool)), _u14839), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14835, _u14836), tc_HOL_Obool), tc_fun(tc_prod(_u14834, _u14836), tc_HOL_Obool), _u14838), hAPP(c_Relation_Orel__comp(_u14834, _u14835, _u14836), _u14837)), _u14840))) )).
% 12.32/12.57 cnf(matrix-6434, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14841, _u14842, _u14843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14844, tc_fun(tc_prod(_u14841, _u14842), tc_HOL_Obool)), _u14845), _u14846)), _u14847) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14844, tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBC(_u14844, tc_fun(tc_prod(_u14842, _u14843), tc_HOL_Obool), tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14841, _u14842), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14842, _u14843), tc_HOL_Obool), tc_fun(tc_prod(_u14841, _u14843), tc_HOL_Obool)), _u14844), c_Relation_Orel__comp(_u14841, _u14842, _u14843)), _u14846)), _u14847))) )).
% 12.32/12.57 cnf(matrix-6435, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14849, _u14850), hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14851, _u14849), _u14852), _u14853)), _u14854) = hAPP(hAPP(c_Relation_Orel__comp(_u14848, _u14851, _u14850), _u14852), hAPP(hAPP(c_Relation_Orel__comp(_u14851, _u14849, _u14850), _u14853), _u14854))) )).
% 12.32/12.57 cnf(matrix-6436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14855, _u14856), tc_HOL_Obool)), _u14857), _u14858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14856, _u14859), tc_HOL_Obool)), _u14860), _u14861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14855, _u14859), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14856, _u14859), _u14857), _u14860)), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14856, _u14859), _u14858), _u14861))) )).
% 12.32/12.57 cnf(matrix-6437, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14863, _u14864), tc_HOL_Obool)), _u14866), _u14867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14862, _u14864), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Relation_Orel__comp(_u14862, _u14863, _u14864), _u14865), _u14867))) )).
% 12.32/12.57 cnf(matrix-6438, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool)), _u14871), _u14872)), _u14873) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14868, _u14870), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14871), _u14873)), hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14872), _u14873))) )).
% 12.32/12.57 cnf(matrix-6439, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14874, _u14875, _u14876), _u14877), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14875, _u14876), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14874, _u14876), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6440, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14878, _u14879, _u14880), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14878, _u14879), tc_HOL_Obool))), _u14881) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14878, _u14880), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6441, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), _u14883), _u14884) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), _u14885), _u14884) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14882, _u14882, _u14882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool)), _u14883), _u14885)), _u14884) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14882, _u14882), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6442, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), _u14888) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), _u14889) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14886, _u14886, _u14886), _u14887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool)), _u14888), _u14889)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14886, _u14886), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14890, _u14891), tc_HOL_Obool)), _u14892), hAPP(hAPP(c_Product__Type_OSigma(_u14890, _u14891), _u14893), hAPP(c_COMBK(tc_fun(_u14891, tc_HOL_Obool), _u14890), _u14894)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14891, _u14895), tc_HOL_Obool)), _u14896), hAPP(hAPP(c_Product__Type_OSigma(_u14891, _u14895), _u14894), hAPP(c_COMBK(tc_fun(_u14895, tc_HOL_Obool), _u14891), _u14897)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14890, _u14895), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14890, _u14891, _u14895), _u14892), _u14896)), hAPP(hAPP(c_Product__Type_OSigma(_u14890, _u14895), _u14893), hAPP(c_COMBK(tc_fun(_u14895, tc_HOL_Obool), _u14890), _u14897)))) )).
% 12.32/12.57 cnf(matrix-6444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14898, _u14898), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14898, _u14898, _u14898), _u14899), _u14900)), _u14899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14898, _u14899)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14898, _u14900)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14898, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14898, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14898, tc_HOL_Obool), tc_fun(_u14898, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14898, _u14899))) )).
% 12.32/12.57 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14901, _u14901), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14901, _u14901), _u14902), _u14903)), _u14902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14901, _u14902)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14901, _u14903)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14901, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14901, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14901, tc_HOL_Obool), tc_fun(_u14901, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14901, _u14902))) )).
% 12.32/12.57 cnf(matrix-6446, plain, ( ~c_Predicate_Opred__comp(_u14911, _u14913, _u14915, hAPP(hAPP(c_COMBC(_u14911, tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_fun(_u14913, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14913, tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_fun(_u14913, tc_HOL_Obool)), _u14911), c_COMBC(_u14913, tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14913, tc_prod(_u14911, _u14913)), tc_fun(_u14913, tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool)), _u14911), hAPP(c_COMBB(tc_prod(_u14911, _u14913), tc_fun(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool), tc_HOL_Obool), _u14913), c_member(tc_prod(_u14911, _u14913)))), c_Product__Type_OPair(_u14911, _u14913)))), _u14917), hAPP(hAPP(c_COMBC(_u14913, tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14913), c_COMBC(_u14915, tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14913, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14913), hAPP(c_COMBB(tc_prod(_u14913, _u14915), tc_fun(tc_fun(tc_prod(_u14913, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14913, _u14915)))), c_Product__Type_OPair(_u14913, _u14915)))), _u14919), _u14921, _u14923) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14911, _u14915)), hAPP(hAPP(c_Product__Type_OPair(_u14911, _u14915), _u14921), _u14923)), hAPP(hAPP(c_Relation_Orel__comp(_u14911, _u14913, _u14915), _u14917), _u14919))) )).
% 12.32/12.57 cnf(matrix-6447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14912, _u14916)), hAPP(hAPP(c_Product__Type_OPair(_u14912, _u14916), _u14922), _u14924)), hAPP(hAPP(c_Relation_Orel__comp(_u14912, _u14914, _u14916), _u14918), _u14920))) | c_Predicate_Opred__comp(_u14912, _u14914, _u14916, hAPP(hAPP(c_COMBC(_u14912, tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14912), c_COMBC(_u14914, tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14912, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14912), hAPP(c_COMBB(tc_prod(_u14912, _u14914), tc_fun(tc_fun(tc_prod(_u14912, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14912, _u14914)))), c_Product__Type_OPair(_u14912, _u14914)))), _u14918), hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_fun(_u14916, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14916, tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_fun(_u14916, tc_HOL_Obool)), _u14914), c_COMBC(_u14916, tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14916, tc_prod(_u14914, _u14916)), tc_fun(_u14916, tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14916), tc_fun(tc_fun(tc_prod(_u14914, _u14916), tc_HOL_Obool), tc_HOL_Obool), _u14916), c_member(tc_prod(_u14914, _u14916)))), c_Product__Type_OPair(_u14914, _u14916)))), _u14920), _u14922, _u14924) )).
% 12.32/12.57 cnf(matrix-6448, plain, ( ~c_Wellfounded_Owf(_u14925, _u14926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14925, _u14925, _u14925), _u14926), _u14927)), _u14926)) | c_FunDef_Oreduction__pair(_u14925, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool), tc_fun(tc_prod(_u14925, _u14925), tc_HOL_Obool)), _u14926), _u14927)) )).
% 12.32/12.57 cnf(matrix-6449, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.32/12.57 cnf(matrix-6450, plain, ( ~hBOOL(hAPP(hAPP(_u14928, _u14929), _u14930)) | ~hBOOL(hAPP(hAPP(_u14931, _u14930), _u14932)) | c_Predicate_Opred__comp(_u14933, _u14934, _u14935, _u14928, _u14931, _u14929, _u14932) )).
% 12.32/12.57 cnf(matrix-6451, plain, ( c_Wellfounded_Owf(_u14936, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14936, _u14936), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6452, plain, ( ~c_Wellfounded_Owf(_u14937, _u14938) | c_Wellfounded_Owf(_u14939, hAPP(hAPP(c_Relation_Oinv__image(_u14937, _u14939), _u14938), _u14940)) )).
% 12.32/12.57 cnf(matrix-6453, plain, ( ~c_Wellfounded_Owf(_u14941, _u14942) | ~c_Wellfounded_Owf(_u14943, _u14944) | c_Wellfounded_Owf(tc_prod(_u14941, _u14943), c_Wellfounded_Olex__prod(_u14941, _u14943, _u14942, _u14944)) )).
% 12.32/12.57 cnf(matrix-6454, plain, ( c_Wellfounded_Owf(_u14945, hAPP(c_Wellfounded_Omeasure(_u14945), _u14946)) )).
% 12.32/12.57 cnf(matrix-6455, plain, ( ~c_Wellfounded_Owf(_u14949, _u14951) | c_Wellfounded_Owf(_u14949, hAPP(hAPP(c_Relation_Orel__comp(_u14949, _u14949, _u14949), _u14951), _u14951)) )).
% 12.32/12.57 cnf(matrix-6456, plain, ( ~c_Wellfounded_Owf(_u14950, hAPP(hAPP(c_Relation_Orel__comp(_u14950, _u14950, _u14950), _u14952), _u14952)) | c_Wellfounded_Owf(_u14950, _u14952) )).
% 12.32/12.57 cnf(matrix-6457, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14953, _u14953, _u14953), _u14954), _u14954) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14953, _u14953), tc_HOL_Obool))) | c_Wellfounded_Owf(_u14953, _u14954) )).
% 12.32/12.57 cnf(matrix-6458, plain, ( ~c_Wellfounded_Owf(_u14958, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), _u14960), _u14962)) | c_Wellfounded_Owf(_u14958, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14958, _u14958), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14958, _u14958), _u14960), _u14960)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14958, _u14958), _u14962), _u14960))), _u14962)) )).
% 12.32/12.57 cnf(matrix-6459, plain, ( ~c_Wellfounded_Owf(_u14959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14959, _u14959), _u14961), _u14961)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14959, _u14959), _u14963), _u14961))), _u14963)) | c_Wellfounded_Owf(_u14959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14959, _u14959), tc_HOL_Obool)), _u14961), _u14963)) )).
% 12.32/12.57 cnf(matrix-6460, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.32/12.57 cnf(matrix-6461, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u14964)) )).
% 12.32/12.57 cnf(matrix-6462, plain, ( ~c_Wellfounded_Owf(_u14965, _u14966) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14965, _u14965)), hAPP(hAPP(c_Product__Type_OPair(_u14965, _u14965), _u14967), _u14967)), _u14966)) )).
% 12.32/12.57 cnf(matrix-6463, plain, ( ~c_Wellfounded_Owf(_u14968, _u14969) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14968, _u14968)), hAPP(hAPP(c_Product__Type_OPair(_u14968, _u14968), _u14970), _u14971)), _u14969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14968, _u14968)), hAPP(hAPP(c_Product__Type_OPair(_u14968, _u14968), _u14971), _u14970)), _u14969)) )).
% 12.32/12.57 cnf(matrix-6464, plain, ( ~c_Wellfounded_Owf(_u14972, _u14973) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14972, _u14972)), hAPP(hAPP(c_Product__Type_OPair(_u14972, _u14972), _u14974), _u14975)), _u14973)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14972, _u14972)), hAPP(hAPP(c_Product__Type_OPair(_u14972, _u14972), _u14975), _u14974)), _u14973)) )).
% 12.32/12.57 cnf(matrix-6465, plain, ( ~c_Wellfounded_Owf(_u14976, _u14977) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14976, _u14976)), hAPP(hAPP(c_Product__Type_OPair(_u14976, _u14976), _u14978), _u14978)), _u14977)) )).
% 12.32/12.57 cnf(matrix-6466, plain, ( ~c_Wellfounded_Owf(_u14979, _u14980) | c_Wellfounded_Owf(_u14979, c_Wellfounded_Omlex__prod(_u14979, _u14981, _u14980)) )).
% 12.32/12.57 cnf(matrix-6467, plain, ( ~c_Wellfounded_Owf(_u14982, _u14983) | c_Wellfounded_Owf(tc_fun(_u14982, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u14982, _u14983)) )).
% 12.32/12.57 cnf(matrix-6468, plain, ( ~c_Predicate_Opred__comp(_u14993, _u14995, _u14997, _u14999, _u15001, _u15003, _u15005) | hBOOL(hAPP(hAPP(_u14999, _u15003), skolem337(_u15005, _u15003, _u15001, _u14999))) )).
% 12.32/12.57 cnf(matrix-6469, plain, ( ~c_Predicate_Opred__comp(_u14993, _u14995, _u14997, _u14999, _u15001, _u15003, _u15005) | hBOOL(hAPP(hAPP(_u15001, skolem337(_u15005, _u15003, _u15001, _u14999)), _u15005)) )).
% 12.32/12.57 cnf(matrix-6470, plain, ( ~hBOOL(hAPP(hAPP(_u15000, _u15004), _u14985)) | ~hBOOL(hAPP(hAPP(_u15002, _u14985), _u15006)) | c_Predicate_Opred__comp(_u14994, _u14996, _u14998, _u15000, _u15002, _u15004, _u15006) )).
% 12.32/12.57 cnf(matrix-6471, plain, ( ~c_Wellfounded_Owf(_u15007, _u15008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15007, _u15007), tc_HOL_Obool)), _u15009), _u15008)) | c_Wellfounded_Owf(_u15007, _u15009) )).
% 12.32/12.57 cnf(matrix-6472, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.32/12.57 cnf(matrix-6473, plain, ( c_Wellfounded_Owf(tc_fun(_u15010, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u15010)) )).
% 12.32/12.57 cnf(matrix-6474, plain, ( ~c_Wellfounded_Owf(_u15011, _u15012) | c_Wellfounded_Owf(tc_fun(_u15011, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u15011, _u15012)) )).
% 12.32/12.57 cnf(matrix-6475, plain, ( ~c_Wellfounded_Owf(_u15013, _u15014) | c_Wellfounded_Owf(_u15013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15013, _u15013), tc_HOL_Obool)), _u15015), _u15014)) )).
% 12.32/12.57 cnf(matrix-6476, plain, ( ~c_Wellfounded_Owf(_u15016, _u15017) | c_Wellfounded_Owf(_u15016, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15016, _u15016), tc_HOL_Obool)), _u15017), _u15018)) )).
% 12.32/12.57 cnf(matrix-6477, plain, ( ~c_Wellfounded_Owf(_u15023, _u15025) | hBOOL(hAPP(hAPP(c_member(_u15023), _u15019), c_Wellfounded_Oacc(_u15023, _u15025))) )).
% 12.32/12.57 cnf(matrix-6478, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15024), skolem338(_u15026, _u15024)), c_Wellfounded_Oacc(_u15024, _u15026))) | c_Wellfounded_Owf(_u15024, _u15026) )).
% 12.32/12.57 cnf(matrix-6479, plain, ( ~c_Wellfounded_Owf(_u15027, _u15028) | hBOOL(hAPP(hAPP(c_member(_u15027), _u15029), c_Wellfounded_Oacc(_u15027, _u15028))) )).
% 12.32/12.57 cnf(matrix-6480, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u15030)) )).
% 12.32/12.57 cnf(matrix-6481, plain, ( ~c_Wellfounded_Owf(_u15037, _u15039) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15037, _u15037)), hAPP(hAPP(c_Product__Type_OPair(_u15037, _u15037), hAPP(_u15032, hAPP(c_Nat_OSuc, skolem339(_u15039, _u15037, _u15032)))), hAPP(_u15032, skolem339(_u15039, _u15037, _u15032)))), _u15039)) )).
% 12.32/12.57 cnf(matrix-6482, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15038, _u15038)), hAPP(hAPP(c_Product__Type_OPair(_u15038, _u15038), hAPP(skolem340(_u15040, _u15038), hAPP(c_Nat_OSuc, _u15033))), hAPP(skolem340(_u15040, _u15038), _u15033))), _u15040)) | c_Wellfounded_Owf(_u15038, _u15040) )).
% 12.32/12.57 cnf(matrix-6483, plain, ( ~c_Wellfounded_Owf(_u15041, _u15042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15041, tc_HOL_Obool)), _u15043), hAPP(c_Relation_OImage(_u15041, _u15041, _u15042), _u15043))) | ( _u15043 = c_Orderings_Obot__class_Obot(tc_fun(_u15041, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6484, plain, ( ~c_Wellfounded_Owf(_u15044, _u15045) | ~c_Wellfounded_Owf(_u15044, _u15046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15044, _u15044), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15044, _u15044, _u15044), _u15045), _u15046)), _u15045)) | c_Wellfounded_Owf(_u15044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15044, _u15044), tc_HOL_Obool)), _u15045), _u15046)) )).
% 12.32/12.57 cnf(matrix-6485, plain, ( ~class_Orderings_Owellorder(_u15047) | c_Wellfounded_Owf(_u15047, hAPP(c_Set_OCollect(tc_prod(_u15047, _u15047)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15047, _u15047, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u15047)))) )).
% 12.32/12.57 cnf(matrix-6486, plain, ( ~c_FunDef_Oreduction__pair(_u15050, _u15052) | c_Wellfounded_Owf(_u15050, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052)) )).
% 12.32/12.57 cnf(matrix-6487, plain, ( ~c_FunDef_Oreduction__pair(_u15050, _u15052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15050, _u15050, _u15050), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool), tc_fun(tc_prod(_u15050, _u15050), tc_HOL_Obool)), _u15052))) )).
% 12.32/12.57 cnf(matrix-6488, plain, ( ~c_Wellfounded_Owf(_u15051, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15051, _u15051, _u15051), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool), tc_fun(tc_prod(_u15051, _u15051), tc_HOL_Obool)), _u15053))) | c_FunDef_Oreduction__pair(_u15051, _u15053) )).
% 12.32/12.57 cnf(matrix-6489, plain, ( ~c_FunDef_Oreduction__pair(_u15054, _u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15056), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15057), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15055))) | ~c_Wellfounded_Owf(_u15054, _u15057) | c_Wellfounded_Owf(_u15054, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool)), _u15056), _u15057)) )).
% 12.32/12.57 cnf(matrix-6490, plain, ( ~c_Wellfounded_Owf(_u15058, _u15059) | ~c_Fun_Oinj__on(_u15058, _u15060, _u15061, c_Orderings_Otop__class_Otop(tc_fun(_u15058, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15060, hAPP(c_Set_Oimage(tc_prod(_u15058, _u15058), tc_prod(_u15060, _u15060), c_Product__Type_Omap__pair(_u15058, _u15060, _u15058, _u15060, _u15061, _u15061)), _u15059)) )).
% 12.32/12.57 cnf(matrix-6491, plain, ( ~c_Wellfounded_Owf(_u15062, _u15063) | c_Wellfounded_Owf(tc_List_Olist(_u15062), c_List_Olenlex(_u15062, _u15063)) )).
% 12.32/12.57 cnf(matrix-6492, plain, ( c_Wellfounded_Owf(_u15068, hAPP(c_Set_OCollect(tc_prod(_u15068, _u15068)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15068, _u15068, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(_u15068, tc_HOL_Obool), _u15068), hAPP(c_COMBS(_u15068, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15068), c_fconj), _u15065))), hAPP(hAPP(c_COMBC(_u15068, tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), _u15068), c_COMBB(_u15068, tc_HOL_Obool, _u15068)), c_fequal)), _u15067))))) | hBOOL(hAPP(_u15065, skolem341(_u15068, _u15067, _u15066, _u15065))) )).
% 12.32/12.57 cnf(matrix-6493, plain, ( c_Wellfounded_Owf(_u15068, hAPP(c_Set_OCollect(tc_prod(_u15068, _u15068)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15068, _u15068, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(_u15068, tc_HOL_Obool), _u15068), hAPP(c_COMBS(_u15068, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15068), c_fconj), _u15065))), hAPP(hAPP(c_COMBC(_u15068, tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15068, tc_HOL_Obool), tc_fun(tc_fun(_u15068, _u15068), tc_fun(_u15068, tc_HOL_Obool)), _u15068), c_COMBB(_u15068, tc_HOL_Obool, _u15068)), c_fequal)), _u15067))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15066, hAPP(_u15067, skolem341(_u15068, _u15067, _u15066, _u15065)))), hAPP(_u15066, skolem341(_u15068, _u15067, _u15066, _u15065)))) )).
% 12.32/12.57 cnf(matrix-6494, plain, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.32/12.57 cnf(matrix-6495, plain, ( ~c_Wellfounded_Owf(_u15069, _u15070) | c_Wellfounded_Owf(tc_List_Olist(_u15069), c_List_Olex(_u15069, _u15070)) )).
% 12.32/12.57 cnf(matrix-6496, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.32/12.57 cnf(matrix-6497, plain, ( ( c_List_Olex(_u15071, _u15072) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u15071), tc_List_Olist(_u15071)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u15071, _u15072))) )).
% 12.32/12.57 cnf(matrix-6498, plain, ( ~c_Wellfounded_Owf(_u15073, _u15074) | c_Wellfounded_Owf(tc_List_Olist(_u15073), hAPP(c_List_Olexn(_u15073, _u15074), _u15075)) )).
% 12.32/12.57 cnf(matrix-6499, plain, ( ( hAPP(c_List_Olexn(_u15076, _u15077), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6500, plain, ( c_Wellfounded_Owf(tc_prod(_u15082, _u15080), c_Recdef_Osame__fst(_u15082, _u15080, _u15079, _u15081)) | hBOOL(hAPP(_u15079, skolem342(_u15082, _u15081, _u15080, _u15079))) )).
% 12.32/12.57 cnf(matrix-6501, plain, ( c_Wellfounded_Owf(tc_prod(_u15082, _u15080), c_Recdef_Osame__fst(_u15082, _u15080, _u15079, _u15081)) | ~c_Wellfounded_Owf(_u15080, hAPP(_u15081, skolem342(_u15082, _u15081, _u15080, _u15079))) )).
% 12.32/12.57 cnf(matrix-6502, plain, ( ( hAPP(c_Relation_ORange(_u15083, _u15084), hAPP(c_Set_OCollect(tc_prod(_u15083, _u15084)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15083, _u15084, tc_HOL_Obool), _u15085))) = hAPP(c_Set_OCollect(_u15084), hAPP(hAPP(c_COMBB(tc_fun(_u15083, tc_HOL_Obool), tc_HOL_Obool, _u15084), c_HOL_OEx(_u15083)), hAPP(c_COMBC(_u15083, _u15084, tc_HOL_Obool), _u15085)))) )).
% 12.32/12.57 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15086, _u15087)), hAPP(hAPP(c_Product__Type_OPair(_u15086, _u15087), _u15088), _u15089)), _u15090)) | hBOOL(hAPP(hAPP(c_member(_u15087), _u15089), hAPP(c_Relation_ORange(_u15086, _u15087), _u15090))) )).
% 12.32/12.57 cnf(matrix-6504, plain, ( ( hAPP(c_Relation_ORange(_u15091, _u15091), c_Relation_OId__on(_u15091, _u15092)) = _u15092) )).
% 12.32/12.57 cnf(matrix-6505, plain, ( ( hAPP(c_Relation_ORange(_u15093, _u15094), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15093, _u15094), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15094, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6506, plain, ( ( hAPP(c_Relation_ORange(_u15098, _u15100), _u15102) != c_Orderings_Obot__class_Obot(tc_fun(_u15100, tc_HOL_Obool))) | ( _u15102 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15098, _u15100), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6507, plain, ( ( _u15103 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15099, _u15101), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u15099, _u15101), _u15103) = c_Orderings_Obot__class_Obot(tc_fun(_u15101, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6508, plain, ( ( hAPP(c_Relation_ORange(_u15104, _u15105), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15104, _u15105), tc_HOL_Obool)), _u15106), _u15107)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15105, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15104, _u15105), _u15106)), hAPP(c_Relation_ORange(_u15104, _u15105), _u15107))) )).
% 12.32/12.57 cnf(matrix-6509, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15108, _u15109)), _u15110)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15109), hAPP(c_Relation_ORange(_u15108, _u15109), _u15110))) )).
% 12.32/12.57 cnf(matrix-6510, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u15111, _u15112), _u15112, c_Product__Type_Osnd(_u15111, _u15112)), _u15113) = hAPP(c_Relation_ORange(_u15111, _u15112), _u15113)) )).
% 12.32/12.57 cnf(matrix-6511, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15120), _u15122), hAPP(c_Relation_ORange(_u15124, _u15120), _u15126))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15124, _u15120)), hAPP(hAPP(c_Product__Type_OPair(_u15124, _u15120), skolem343(_u15126, _u15124, _u15122, _u15120)), _u15122)), _u15126)) )).
% 12.32/12.57 cnf(matrix-6512, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15125, _u15121)), hAPP(hAPP(c_Product__Type_OPair(_u15125, _u15121), _u15115), _u15123)), _u15127)) | hBOOL(hAPP(hAPP(c_member(_u15121), _u15123), hAPP(c_Relation_ORange(_u15125, _u15121), _u15127))) )).
% 12.32/12.57 cnf(matrix-6513, plain, ( ( hAPP(c_Relation_ORange(_u15128, _u15129), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15128, _u15129)), hAPP(hAPP(c_Product__Type_OPair(_u15128, _u15129), _u15130), _u15131)), _u15132)) = hAPP(hAPP(c_Set_Oinsert(_u15129), _u15131), hAPP(c_Relation_ORange(_u15128, _u15129), _u15132))) )).
% 12.32/12.57 cnf(matrix-6514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15133, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15134, _u15133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15134, _u15133), tc_HOL_Obool)), _u15135), _u15136))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15133, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15134, _u15133), _u15135)), hAPP(c_Relation_ORange(_u15134, _u15133), _u15136)))) )).
% 12.32/12.57 cnf(matrix-6515, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15137, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15138, _u15137), _u15139)), hAPP(c_Relation_ORange(_u15138, _u15137), _u15140))), hAPP(c_Relation_ORange(_u15138, _u15137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15138, _u15137), tc_HOL_Obool)), _u15139), _u15140)))) )).
% 12.32/12.57 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u15145, _u15147, hAPP(hAPP(c_COMBC(_u15145, tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_fun(_u15147, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15147, tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_fun(_u15147, tc_HOL_Obool)), _u15145), c_COMBC(_u15147, tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15147, tc_prod(_u15145, _u15147)), tc_fun(_u15147, tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool)), _u15145), hAPP(c_COMBB(tc_prod(_u15145, _u15147), tc_fun(tc_fun(tc_prod(_u15145, _u15147), tc_HOL_Obool), tc_HOL_Obool), _u15147), c_member(tc_prod(_u15145, _u15147)))), c_Product__Type_OPair(_u15145, _u15147)))), _u15149)), _u15151)) | hBOOL(hAPP(hAPP(c_member(_u15147), _u15151), hAPP(c_Relation_ORange(_u15145, _u15147), _u15149))) )).
% 12.32/12.57 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15148), _u15152), hAPP(c_Relation_ORange(_u15146, _u15148), _u15150))) | hBOOL(hAPP(c_Predicate_ORangeP(_u15146, _u15148, hAPP(hAPP(c_COMBC(_u15146, tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_fun(_u15148, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15148, tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_fun(_u15148, tc_HOL_Obool)), _u15146), c_COMBC(_u15148, tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15148, tc_prod(_u15146, _u15148)), tc_fun(_u15148, tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool)), _u15146), hAPP(c_COMBB(tc_prod(_u15146, _u15148), tc_fun(tc_fun(tc_prod(_u15146, _u15148), tc_HOL_Obool), tc_HOL_Obool), _u15148), c_member(tc_prod(_u15146, _u15148)))), c_Product__Type_OPair(_u15146, _u15148)))), _u15150)), _u15152)) )).
% 12.32/12.57 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15154), _u15155), hAPP(c_Relation_ORange(_u15156, _u15154), _u15157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15156, _u15154)), hAPP(hAPP(c_Product__Type_OPair(_u15156, _u15154), skolem344(_u15157, _u15156, _u15155, _u15154)), _u15155)), _u15157)) )).
% 12.32/12.57 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(_u15158, _u15159), _u15160)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15161, _u15162, _u15158), _u15160)) )).
% 12.32/12.57 cnf(matrix-6520, plain, ( hBOOL(hAPP(hAPP(_u15173, skolem345(_u15175, _u15173)), _u15175)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u15169, _u15171, _u15173), _u15175)) )).
% 12.32/12.57 cnf(matrix-6521, plain, ( ~hBOOL(hAPP(hAPP(_u15174, _u15164), _u15176)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15170, _u15172, _u15174), _u15176)) )).
% 12.32/12.57 cnf(matrix-6522, plain, ( ~c_Wellfounded_Owf(_u15177, _u15178) | ~c_Wellfounded_Owf(_u15177, _u15179) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15177, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15177, _u15177), _u15178)), hAPP(c_Relation_ORange(_u15177, _u15177), _u15179)) != c_Orderings_Obot__class_Obot(tc_fun(_u15177, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15177, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15177, _u15177), tc_HOL_Obool)), _u15178), _u15179)) )).
% 12.32/12.57 cnf(matrix-6523, plain, ( ~c_Wellfounded_OwfP(_u15182, _u15184) | c_Wellfounded_Owf(_u15182, hAPP(c_Set_OCollect(tc_prod(_u15182, _u15182)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15182, _u15182, tc_HOL_Obool), _u15184))) )).
% 12.32/12.57 cnf(matrix-6524, plain, ( ~c_Wellfounded_Owf(_u15183, hAPP(c_Set_OCollect(tc_prod(_u15183, _u15183)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15183, _u15183, tc_HOL_Obool), _u15185))) | c_Wellfounded_OwfP(_u15183, _u15185) )).
% 12.32/12.57 cnf(matrix-6525, plain, ( c_Wellfounded_OwfP(_u15186, hAPP(c_COMBK(tc_fun(_u15186, tc_HOL_Obool), _u15186), hAPP(c_COMBK(tc_HOL_Obool, _u15186), c_fFalse))) )).
% 12.32/12.57 cnf(matrix-6526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15187, _u15188)), hAPP(hAPP(c_Product__Type_OPair(_u15187, _u15188), _u15189), _u15190)), _u15191)) | hBOOL(hAPP(hAPP(c_member(_u15187), _u15189), hAPP(c_Relation_ODomain(_u15187, _u15188), _u15191))) )).
% 12.32/12.57 cnf(matrix-6527, plain, ( ~c_Wellfounded_OwfP(_u15192, _u15193) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15192, _u15193), _u15194)) )).
% 12.32/12.57 cnf(matrix-6528, plain, ( ~c_Wellfounded_OwfP(_u15199, _u15201) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15199, _u15201), _u15195)) )).
% 12.32/12.57 cnf(matrix-6529, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u15200, _u15202), skolem346(_u15202, _u15200))) | c_Wellfounded_OwfP(_u15200, _u15202) )).
% 12.32/12.57 cnf(matrix-6530, plain, ( ( hAPP(c_Relation_ODomain(_u15203, _u15203), c_Relation_OId__on(_u15203, _u15204)) = _u15204) )).
% 12.32/12.57 cnf(matrix-6531, plain, ( ~c_Wellfounded_OwfP(_u15205, _u15206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15205, tc_fun(_u15205, tc_HOL_Obool))), _u15207), _u15206)) | c_Wellfounded_OwfP(_u15205, _u15207) )).
% 12.32/12.57 cnf(matrix-6532, plain, ( ( hAPP(c_Relation_ODomain(_u15208, _u15209), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15208, _u15209), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15208, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6533, plain, ( ( hAPP(c_Relation_ODomain(_u15213, _u15215), _u15217) != c_Orderings_Obot__class_Obot(tc_fun(_u15213, tc_HOL_Obool))) | ( _u15217 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15213, _u15215), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6534, plain, ( ( _u15218 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15214, _u15216), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u15214, _u15216), _u15218) = c_Orderings_Obot__class_Obot(tc_fun(_u15214, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15219, _u15220), tc_HOL_Obool)), _u15221), _u15222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15219, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15219, _u15220), _u15221)), hAPP(c_Relation_ODomain(_u15219, _u15220), _u15222))) )).
% 12.32/12.57 cnf(matrix-6536, plain, ( ( hAPP(c_Relation_ODomain(_u15223, _u15224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15223, _u15224), tc_HOL_Obool)), _u15225), _u15226)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15223, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15223, _u15224), _u15225)), hAPP(c_Relation_ODomain(_u15223, _u15224), _u15226))) )).
% 12.32/12.57 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15227, _u15228)), _u15229)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15227), hAPP(c_Relation_ODomain(_u15227, _u15228), _u15229))) )).
% 12.32/12.57 cnf(matrix-6538, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u15230, _u15231), _u15230, c_Product__Type_Ofst(_u15230, _u15231)), _u15232) = hAPP(c_Relation_ODomain(_u15230, _u15231), _u15232)) )).
% 12.32/12.57 cnf(matrix-6539, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15239), _u15241), hAPP(c_Relation_ODomain(_u15239, _u15243), _u15245))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15239, _u15243)), hAPP(hAPP(c_Product__Type_OPair(_u15239, _u15243), _u15241), skolem347(_u15245, _u15243, _u15241, _u15239))), _u15245)) )).
% 12.32/12.57 cnf(matrix-6540, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15240, _u15244)), hAPP(hAPP(c_Product__Type_OPair(_u15240, _u15244), _u15242), _u15234)), _u15246)) | hBOOL(hAPP(hAPP(c_member(_u15240), _u15242), hAPP(c_Relation_ODomain(_u15240, _u15244), _u15246))) )).
% 12.32/12.57 cnf(matrix-6541, plain, ( ( hAPP(c_Relation_ODomain(_u15247, _u15248), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15247, _u15248)), hAPP(hAPP(c_Product__Type_OPair(_u15247, _u15248), _u15249), _u15250)), _u15251)) = hAPP(hAPP(c_Set_Oinsert(_u15247), _u15249), hAPP(c_Relation_ODomain(_u15247, _u15248), _u15251))) )).
% 12.32/12.57 cnf(matrix-6542, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15252, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15252, _u15253), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15252, _u15253), tc_HOL_Obool)), _u15254), _u15255))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15252, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15252, _u15253), _u15254)), hAPP(c_Relation_ODomain(_u15252, _u15253), _u15255)))) )).
% 12.32/12.57 cnf(matrix-6543, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15256, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15256, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15256, _u15257), _u15258)), hAPP(c_Relation_ODomain(_u15256, _u15257), _u15259))), hAPP(c_Relation_ODomain(_u15256, _u15257), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15256, _u15257), tc_HOL_Obool)), _u15258), _u15259)))) )).
% 12.32/12.57 cnf(matrix-6544, plain, ( ( hAPP(c_Relation_OField(_u15260), _u15261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15260, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15260, _u15260), _u15261)), hAPP(c_Relation_ORange(_u15260, _u15260), _u15261))) )).
% 12.32/12.57 cnf(matrix-6545, plain, ( ~c_Wellfounded_Owf(_u15262, _u15263) | c_Wellfounded_OwfP(_u15262, c_FunDef_Oin__rel(_u15262, _u15262, _u15263)) )).
% 12.32/12.57 cnf(matrix-6546, plain, ( ~c_Wellfounded_OwfP(_u15266, hAPP(hAPP(c_COMBC(_u15266, tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_fun(_u15266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15266, tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_fun(_u15266, tc_HOL_Obool)), _u15266), c_COMBC(_u15266, tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15266, tc_prod(_u15266, _u15266)), tc_fun(_u15266, tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool)), _u15266), hAPP(c_COMBB(tc_prod(_u15266, _u15266), tc_fun(tc_fun(tc_prod(_u15266, _u15266), tc_HOL_Obool), tc_HOL_Obool), _u15266), c_member(tc_prod(_u15266, _u15266)))), c_Product__Type_OPair(_u15266, _u15266)))), _u15268)) | c_Wellfounded_Owf(_u15266, _u15268) )).
% 12.32/12.57 cnf(matrix-6547, plain, ( ~c_Wellfounded_Owf(_u15267, _u15269) | c_Wellfounded_OwfP(_u15267, hAPP(hAPP(c_COMBC(_u15267, tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_fun(_u15267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15267, tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_fun(_u15267, tc_HOL_Obool)), _u15267), c_COMBC(_u15267, tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15267, tc_prod(_u15267, _u15267)), tc_fun(_u15267, tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool)), _u15267), hAPP(c_COMBB(tc_prod(_u15267, _u15267), tc_fun(tc_fun(tc_prod(_u15267, _u15267), tc_HOL_Obool), tc_HOL_Obool), _u15267), c_member(tc_prod(_u15267, _u15267)))), c_Product__Type_OPair(_u15267, _u15267)))), _u15269)) )).
% 12.32/12.57 cnf(matrix-6548, plain, ( ( hAPP(c_Relation_ODomain(_u15270, _u15271), hAPP(c_Set_OCollect(tc_prod(_u15270, _u15271)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15270, _u15271, tc_HOL_Obool), _u15272))) = hAPP(c_Set_OCollect(_u15270), hAPP(hAPP(c_COMBB(tc_fun(_u15271, tc_HOL_Obool), tc_HOL_Obool, _u15270), c_HOL_OEx(_u15271)), _u15272))) )).
% 12.32/12.57 cnf(matrix-6549, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u15277, _u15279, hAPP(hAPP(c_COMBC(_u15277, tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_fun(_u15279, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15279, tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_fun(_u15279, tc_HOL_Obool)), _u15277), c_COMBC(_u15279, tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15279, tc_prod(_u15277, _u15279)), tc_fun(_u15279, tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool)), _u15277), hAPP(c_COMBB(tc_prod(_u15277, _u15279), tc_fun(tc_fun(tc_prod(_u15277, _u15279), tc_HOL_Obool), tc_HOL_Obool), _u15279), c_member(tc_prod(_u15277, _u15279)))), c_Product__Type_OPair(_u15277, _u15279)))), _u15281)), _u15283)) | hBOOL(hAPP(hAPP(c_member(_u15277), _u15283), hAPP(c_Relation_ODomain(_u15277, _u15279), _u15281))) )).
% 12.32/12.57 cnf(matrix-6550, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15278), _u15284), hAPP(c_Relation_ODomain(_u15278, _u15280), _u15282))) | hBOOL(hAPP(c_Predicate_ODomainP(_u15278, _u15280, hAPP(hAPP(c_COMBC(_u15278, tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_fun(_u15280, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15280, tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_fun(_u15280, tc_HOL_Obool)), _u15278), c_COMBC(_u15280, tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15280, tc_prod(_u15278, _u15280)), tc_fun(_u15280, tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool)), _u15278), hAPP(c_COMBB(tc_prod(_u15278, _u15280), tc_fun(tc_fun(tc_prod(_u15278, _u15280), tc_HOL_Obool), tc_HOL_Obool), _u15280), c_member(tc_prod(_u15278, _u15280)))), c_Product__Type_OPair(_u15278, _u15280)))), _u15282)), _u15284)) )).
% 12.32/12.57 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15286), _u15287), hAPP(c_Relation_ODomain(_u15286, _u15288), _u15289))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15286, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15286, _u15288), _u15287), skolem348(_u15289, _u15288, _u15287, _u15286))), _u15289)) )).
% 12.32/12.57 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(hAPP(_u15290, _u15291), _u15292)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15293, _u15294, _u15290), _u15291)) )).
% 12.32/12.57 cnf(matrix-6553, plain, ( hBOOL(hAPP(hAPP(_u15305, _u15307), skolem349(_u15307, _u15305))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u15301, _u15303, _u15305), _u15307)) )).
% 12.32/12.57 cnf(matrix-6554, plain, ( ~hBOOL(hAPP(hAPP(_u15306, _u15308), _u15296)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15302, _u15304, _u15306), _u15308)) )).
% 12.32/12.57 cnf(matrix-6555, plain, ( ~c_Wellfounded_OwfP(_u15309, _u15310) | c_Wellfounded_Oacyclic(_u15309, hAPP(c_Set_OCollect(tc_prod(_u15309, _u15309)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15309, _u15309, tc_HOL_Obool), _u15310))) )).
% 12.32/12.57 cnf(matrix-6556, plain, ( ( c_New__Random__Sequence_Oneg__map(_u15311, _u15312, _u15313, _u15314) = c_New__Random__Sequence_Oneg__bind(_u15311, _u15312, _u15314, hAPP(c_Fun_Ocomp(_u15312, 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(_u15312)))))), _u15311, c_New__Random__Sequence_Oneg__single(_u15312)), _u15313))) )).
% 12.32/12.57 cnf(matrix-6557, plain, ( ~c_Wellfounded_Owf(_u15315, _u15316) | c_Wellfounded_Oacyclic(_u15315, _u15316) )).
% 12.32/12.57 cnf(matrix-6558, plain, ( ~c_Wellfounded_Oacyclic(_u15317, _u15318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15317, _u15317), tc_HOL_Obool)), _u15319), _u15318)) | c_Wellfounded_Oacyclic(_u15317, _u15319) )).
% 12.32/12.57 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15320, _u15320)), _u15321)) | ~c_Wellfounded_Oacyclic(_u15320, _u15321) | c_Wellfounded_Owf(_u15320, _u15321) )).
% 12.32/12.57 cnf(matrix-6560, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15322, _u15322)), _u15323)) | ~c_Wellfounded_Owf(_u15322, _u15323) | c_Wellfounded_Oacyclic(_u15322, _u15323) )).
% 12.32/12.57 cnf(matrix-6561, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15322, _u15322)), _u15323)) | ~c_Wellfounded_Oacyclic(_u15322, _u15323) | c_Wellfounded_Owf(_u15322, _u15323) )).
% 12.32/12.57 cnf(matrix-6562, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15324), _u15325), _u15326), _u15327), _u15328) = c_New__DSequence_Oneg__single(_u15324, _u15325)) )).
% 12.32/12.57 cnf(matrix-6563, plain, ( ( c_New__Random__Sequence_Opos__map(_u15329, _u15330, _u15331, _u15332) = c_New__Random__Sequence_Opos__bind(_u15329, _u15330, _u15332, hAPP(c_Fun_Ocomp(_u15330, 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(_u15330))))), _u15329, c_New__Random__Sequence_Opos__single(_u15330)), _u15331))) )).
% 12.32/12.57 cnf(matrix-6564, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u15333, _u15334), _u15335) = c_Lazy__Sequence_Ohb__single(_u15333, _u15334)) )).
% 12.32/12.57 cnf(matrix-6565, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15336), _u15337), _u15338), _u15339), _u15340) = c_New__DSequence_Opos__single(_u15336, _u15337)) )).
% 12.32/12.57 cnf(matrix-6566, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u15341, _u15342), _u15343) = c_Lazy__Sequence_Osingle(_u15341, _u15342)) )).
% 12.32/12.57 cnf(matrix-6567, plain, ( ~c_Nitpick_Owf_H(_u15346, _u15348) | c_Wellfounded_Oacyclic(_u15346, _u15348) )).
% 12.32/12.57 cnf(matrix-6568, plain, ( ~c_Nitpick_Owf_H(_u15346, _u15348) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15346, _u15346)), _u15348)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.32/12.57 cnf(matrix-6569, plain, ( c_Nitpick_Owf_H(_u15347, _u15349) | ~c_Wellfounded_Oacyclic(_u15347, _u15349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15347, _u15347)), _u15349)) )).
% 12.32/12.57 cnf(matrix-6570, plain, ( c_Nitpick_Owf_H(_u15347, _u15349) | ~c_Wellfounded_Oacyclic(_u15347, _u15349) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.32/12.57 cnf(matrix-6571, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), _u15352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), hAPP(c_Set_Oimage(_u15351, _u15353, _u15354), _u15352))) | hBOOL(hAPP(hAPP(c_member(_u15351), skolem350(_u15354, _u15353, _u15352, _u15351)), _u15352)) )).
% 12.32/12.57 cnf(matrix-6572, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), _u15352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), hAPP(c_Set_Oimage(_u15351, _u15353, _u15354), _u15352))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15351), hAPP(c_Set_OCollect(_u15351), hAPP(hAPP(c_COMBS(_u15351, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15351), c_fconj), hAPP(hAPP(c_COMBC(_u15351, tc_fun(_u15351, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15351)), _u15352))), hAPP(hAPP(c_COMBC(_u15351, _u15353, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15353, tc_fun(_u15353, tc_HOL_Obool), _u15351), c_fequal), _u15354)), hAPP(_u15354, skolem350(_u15354, _u15353, _u15352, _u15351))))))) )).
% 12.32/12.57 cnf(matrix-6573, plain, ( ( _u15356 = hAPP(c_Int_OAbs__Integ, skolem351(_u15356))) )).
% 12.32/12.57 cnf(matrix-6574, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem351(_u15356)), c_Int_OInteg)) )).
% 12.32/12.57 cnf(matrix-6575, plain, ( hBOOL(hAPP(_u15358, _u15359)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem352(_u15359, _u15358)), c_Int_OInteg)) )).
% 12.32/12.57 cnf(matrix-6576, plain, ( hBOOL(hAPP(_u15358, _u15359)) | ~hBOOL(hAPP(_u15358, hAPP(c_Int_OAbs__Integ, skolem352(_u15359, _u15358)))) )).
% 12.32/12.57 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15361), _u15362)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15361, tc_fun(_u15363, tc_HOL_Obool)), _u15362), _u15364))) | hBOOL(hAPP(hAPP(c_member(_u15361), skolem353(_u15364, _u15363, _u15362, _u15361)), _u15362)) )).
% 12.32/12.57 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15361), _u15362)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15361, tc_fun(_u15363, tc_HOL_Obool)), _u15362), _u15364))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15363), hAPP(_u15364, skolem353(_u15364, _u15363, _u15362, _u15361)))) )).
% 12.32/12.57 cnf(matrix-6579, 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)), _u15367), _u15366) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem354(_u15367, _u15366)), _u15366)) )).
% 12.32/12.57 cnf(matrix-6580, 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)), _u15367), _u15366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15367), skolem354(_u15367, _u15366))) )).
% 12.32/12.57 cnf(matrix-6581, plain, ( ~c_Wellfounded_OwfP(_u15371, hAPP(_u15372, skolem355(_u15373, _u15372, _u15371))) | c_Wellfounded_OwfP(_u15371, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15373, tc_fun(_u15371, tc_fun(_u15371, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15373, tc_HOL_Obool))), _u15372)) | ( hAPP(_u15372, skolem356(_u15373, _u15372, _u15371)) != hAPP(_u15372, skolem357(_u15373, _u15372, _u15371))) )).
% 12.32/12.57 cnf(matrix-6582, plain, ( ~c_Wellfounded_OwfP(_u15371, hAPP(_u15372, skolem355(_u15373, _u15372, _u15371))) | c_Wellfounded_OwfP(_u15371, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15373, tc_fun(_u15371, tc_fun(_u15371, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15373, tc_HOL_Obool))), _u15372)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15371, tc_HOL_Obool)), c_Predicate_ODomainP(_u15371, _u15371, hAPP(_u15372, skolem356(_u15373, _u15372, _u15371)))), c_Predicate_ORangeP(_u15371, _u15371, hAPP(_u15372, skolem357(_u15373, _u15372, _u15371)))) != c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15375), c_Map_Odom(_u15375, _u15376, _u15377))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15375), c_Orderings_Otop__class_Otop(tc_fun(_u15375, tc_HOL_Obool)))) | ( hAPP(_u15377, skolem358(_u15377, _u15376, _u15375)) = c_Option_Ooption_ONone(_u15376)) )).
% 12.32/12.57 cnf(matrix-6584, plain, ( hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15381, _u15382, tc_fun(_u15383, tc_HOL_Obool)), _u15385), _u15380))) | ( _u15380 = hAPP(hAPP(c_Product__Type_OPair(_u15381, _u15382), skolem359(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)), skolem360(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380))) )).
% 12.32/12.57 cnf(matrix-6585, plain, ( hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15381, _u15382, tc_fun(_u15383, tc_HOL_Obool)), _u15385), _u15380))) | ~hBOOL(hAPP(hAPP(c_member(_u15383), _u15384), hAPP(hAPP(_u15385, skolem359(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)), skolem360(_u15385, _u15384, _u15383, _u15382, _u15381, _u15380)))) )).
% 12.32/12.57 cnf(matrix-6586, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15390, _u15391, tc_fun(_u15388, tc_HOL_Obool)), _u15392), _u15393))) | ( _u15393 = hAPP(hAPP(c_Product__Type_OPair(_u15390, _u15391), skolem361(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)), skolem362(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388))) )).
% 12.32/12.57 cnf(matrix-6587, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15390, _u15391, tc_fun(_u15388, tc_HOL_Obool)), _u15392), _u15393))) | hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(hAPP(_u15392, skolem361(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)), skolem362(_u15393, _u15392, _u15391, _u15390, _u15389, _u15388)))) )).
% 12.32/12.57 cnf(matrix-6588, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15394, _u15395), hAPP(c_Product__Type_Oprod_Oprod__case(_u15394, _u15395, tc_HOL_Obool), _u15396)) = c_Hilbert__Choice_OEps(tc_prod(_u15394, _u15395), hAPP(hAPP(c_COMBS(tc_prod(_u15394, _u15395), _u15395, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15394, tc_fun(_u15395, tc_HOL_Obool), tc_prod(_u15394, _u15395)), _u15396), c_Product__Type_Ofst(_u15394, _u15395))), c_Product__Type_Osnd(_u15394, _u15395)))) )).
% 12.32/12.57 cnf(matrix-6589, plain, ( ( c_Hilbert__Choice_OEps(_u15397, hAPP(c_fequal, _u15398)) = _u15398) )).
% 12.32/12.57 cnf(matrix-6590, plain, ( ( c_Hilbert__Choice_OEps(_u15399, hAPP(hAPP(c_COMBC(_u15399, _u15399, tc_HOL_Obool), c_fequal), _u15400)) = _u15400) )).
% 12.32/12.57 cnf(matrix-6591, plain, ( ~hBOOL(hAPP(_u15405, c_Hilbert__Choice_OEps(_u15407, _u15405))) | hBOOL(hAPP(_u15405, skolem363(_u15407, _u15405))) )).
% 12.32/12.57 cnf(matrix-6592, plain, ( ~hBOOL(hAPP(_u15406, _u15402)) | hBOOL(hAPP(_u15406, c_Hilbert__Choice_OEps(_u15408, _u15406))) )).
% 12.32/12.57 cnf(matrix-6593, plain, ( ~hBOOL(hAPP(_u15410, _u15409)) | hBOOL(hAPP(_u15410, c_Hilbert__Choice_OEps(_u15411, _u15410))) )).
% 12.32/12.57 cnf(matrix-6594, plain, ( ~hBOOL(hAPP(_u15413, _u15412)) | hBOOL(hAPP(_u15413, c_Hilbert__Choice_OEps(_u15414, _u15413))) )).
% 12.32/12.57 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(_u15415, _u15416)) | hBOOL(hAPP(_u15415, c_Hilbert__Choice_OEps(_u15417, _u15415))) )).
% 12.32/12.57 cnf(matrix-6596, plain, ( ~hBOOL(hAPP(_u15419, _u15418)) | ( _u15420 != c_Hilbert__Choice_OEps(_u15421, _u15419)) | hBOOL(hAPP(_u15419, _u15420)) )).
% 12.32/12.57 cnf(matrix-6597, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15422, _u15423), _u15424) = c_Hilbert__Choice_OEps(tc_prod(_u15422, _u15423), hAPP(c_Product__Type_Oprod_Oprod__case(_u15422, _u15423, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15423, tc_prod(_u15422, _u15423)), tc_fun(_u15423, tc_HOL_Obool), _u15422), hAPP(c_COMBB(tc_prod(_u15422, _u15423), tc_HOL_Obool, _u15423), _u15424)), c_Product__Type_OPair(_u15422, _u15423))))) )).
% 12.32/12.57 cnf(matrix-6598, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15425, _u15426), hAPP(c_Product__Type_Oprod_Oprod__case(_u15425, _u15426, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15425, tc_fun(_u15426, tc_HOL_Obool), tc_fun(_u15426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15426, tc_HOL_Obool), tc_fun(_u15426, tc_HOL_Obool)), _u15425), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15426)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15425), c_fconj), hAPP(c_fequal, _u15427)))), hAPP(c_fequal, _u15428)))) = hAPP(hAPP(c_Product__Type_OPair(_u15425, _u15426), _u15427), _u15428)) )).
% 12.32/12.57 cnf(matrix-6599, plain, ( c_Wellfounded_Owf(_u15430, _u15431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15430, tc_HOL_Obool)), skolem364(_u15431, _u15430)), hAPP(c_Relation_OImage(_u15430, _u15430, _u15431), skolem364(_u15431, _u15430)))) )).
% 12.32/12.57 cnf(matrix-6600, plain, ( c_Wellfounded_Owf(_u15430, _u15431) | ( skolem364(_u15431, _u15430) != c_Orderings_Obot__class_Obot(tc_fun(_u15430, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15433, tc_HOL_Obool)), _u15434), _u15435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15433, _u15436), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15434), _u15437)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15435), _u15438))) | hBOOL(hAPP(hAPP(c_member(_u15433), skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433)), _u15434)) )).
% 12.32/12.57 cnf(matrix-6602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15433, tc_HOL_Obool)), _u15434), _u15435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15433, _u15436), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15434), _u15437)), hAPP(hAPP(c_Product__Type_OSigma(_u15433, _u15436), _u15435), _u15438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15436, tc_HOL_Obool)), hAPP(_u15437, skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433))), hAPP(_u15438, skolem365(_u15438, _u15437, _u15436, _u15435, _u15434, _u15433)))) )).
% 12.32/12.57 cnf(matrix-6603, plain, ( hBOOL(hAPP(hAPP(c_member(_u15440), _u15441), c_Wellfounded_Oacc(_u15440, _u15442))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15440, _u15440)), hAPP(hAPP(c_Product__Type_OPair(_u15440, _u15440), skolem366(_u15442, _u15441, _u15440)), _u15441)), _u15442)) )).
% 12.32/12.57 cnf(matrix-6604, plain, ( hBOOL(hAPP(hAPP(c_member(_u15440), _u15441), c_Wellfounded_Oacc(_u15440, _u15442))) | ~hBOOL(hAPP(hAPP(c_member(_u15440), skolem366(_u15442, _u15441, _u15440)), c_Wellfounded_Oacc(_u15440, _u15442))) )).
% 12.32/12.57 cnf(matrix-6605, plain, ( hBOOL(hAPP(hAPP(c_member(_u15444), _u15445), c_Wellfounded_Oacc(_u15444, _u15446))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15444, _u15444)), hAPP(hAPP(c_Product__Type_OPair(_u15444, _u15444), skolem367(_u15446, _u15445, _u15444)), _u15445)), _u15446)) )).
% 12.32/12.57 cnf(matrix-6606, plain, ( hBOOL(hAPP(hAPP(c_member(_u15444), _u15445), c_Wellfounded_Oacc(_u15444, _u15446))) | ~hBOOL(hAPP(hAPP(c_member(_u15444), skolem367(_u15446, _u15445, _u15444)), c_Wellfounded_Oacc(_u15444, _u15446))) )).
% 12.32/12.57 cnf(matrix-6607, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15448, _u15449, c_Groups_Otimes__class_Otimes(_u15448)), _u15451), c_Groups_Oone__class_Oone(_u15448)), _u15450) = c_Groups_Oone__class_Oone(_u15448)) | hBOOL(hAPP(hAPP(c_member(_u15449), skolem368(_u15451, _u15450, _u15449, _u15448)), _u15450)) )).
% 12.32/12.57 cnf(matrix-6608, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15448, _u15449, c_Groups_Otimes__class_Otimes(_u15448)), _u15451), c_Groups_Oone__class_Oone(_u15448)), _u15450) = c_Groups_Oone__class_Oone(_u15448)) | ( hAPP(_u15451, skolem368(_u15451, _u15450, _u15449, _u15448)) != c_Groups_Oone__class_Oone(_u15448)) )).
% 12.32/12.57 cnf(matrix-6609, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15453), _u15454)) | ( hAPP(c_Finite__Set_Ocard(_u15453), _u15454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15453), skolem369(_u15454, _u15453)), _u15454)) )).
% 12.32/12.57 cnf(matrix-6610, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15453), _u15454)) | ( hAPP(c_Finite__Set_Ocard(_u15453), _u15454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.57 cnf(matrix-6611, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15463), _u15465)) )).
% 12.32/12.57 cnf(matrix-6612, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15463), _u15467)) )).
% 12.32/12.57 cnf(matrix-6613, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ( _u15467 != c_Orderings_Obot__class_Obot(tc_fun(_u15463, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ~hBOOL(hAPP(hAPP(c_member(_u15463), _u15456), _u15465)) | hBOOL(hAPP(hAPP(c_member(_u15463), skolem370(_u15469, _u15467, _u15465, _u15463, _u15456)), _u15467)) )).
% 12.32/12.57 cnf(matrix-6615, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15463, tc_HOL_Obool), tc_fun(_u15463, tc_HOL_Obool)), _u15465), _u15467)), c_Wellfounded_Omax__ext(_u15463, _u15469))) | ~hBOOL(hAPP(hAPP(c_member(_u15463), _u15456), _u15465)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15463, _u15463)), hAPP(hAPP(c_Product__Type_OPair(_u15463, _u15463), _u15456), skolem370(_u15469, _u15467, _u15465, _u15463, _u15456))), _u15469)) )).
% 12.32/12.57 cnf(matrix-6616, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool)), _u15466), _u15468)), c_Wellfounded_Omax__ext(_u15464, _u15470))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15468)) | ( _u15468 = c_Orderings_Obot__class_Obot(tc_fun(_u15464, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15464), skolem371(_u15470, _u15468, _u15466, _u15464)), _u15466)) )).
% 12.32/12.57 cnf(matrix-6617, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15464, tc_HOL_Obool), tc_fun(_u15464, tc_HOL_Obool)), _u15466), _u15468)), c_Wellfounded_Omax__ext(_u15464, _u15470))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15468)) | ( _u15468 = c_Orderings_Obot__class_Obot(tc_fun(_u15464, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15464), _u15457), _u15468)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15464, _u15464)), hAPP(hAPP(c_Product__Type_OPair(_u15464, _u15464), skolem371(_u15470, _u15468, _u15466, _u15464)), _u15457)), _u15470)) )).
% 12.32/12.57 cnf(matrix-6618, plain, ( ~class_Groups_Oab__semigroup__mult(_u15472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15473), _u15474)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15475), _u15477), _u15474) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15476), _u15477), _u15474)) | hBOOL(hAPP(hAPP(c_member(_u15473), skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472)), _u15474)) )).
% 12.32/12.57 cnf(matrix-6619, plain, ( ~class_Groups_Oab__semigroup__mult(_u15472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15473), _u15474)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15475), _u15477), _u15474) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15472, _u15473, c_Groups_Otimes__class_Otimes(_u15472)), _u15476), _u15477), _u15474)) | ( hAPP(_u15475, skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472)) != hAPP(_u15476, skolem372(_u15477, _u15476, _u15475, _u15474, _u15473, _u15472))) )).
% 12.32/12.57 cnf(matrix-6620, plain, ( ~class_Rings_Ocomm__semiring__1(_u15479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15480), _u15481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15480, tc_HOL_Obool)), _u15482), _u15481)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15483), _u15482)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15484), _u15481))) | hBOOL(hAPP(hAPP(c_member(_u15480), skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479)), _u15482)) )).
% 12.32/12.57 cnf(matrix-6621, plain, ( ~class_Rings_Ocomm__semiring__1(_u15479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15480), _u15481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15480, tc_HOL_Obool)), _u15482), _u15481)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15483), _u15482)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15480, _u15479), _u15484), _u15481))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15479), hAPP(_u15483, skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479))), hAPP(_u15484, skolem373(_u15484, _u15483, _u15482, _u15481, _u15480, _u15479)))) )).
% 12.32/12.57 cnf(matrix-6622, plain, ( ~class_Orderings_Olinorder(_u15486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15486), _u15487)) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15488), _u15487)) | ( c_Big__Operators_Olinorder__class_OMin(_u15486, _u15487) = _u15488) | hBOOL(hAPP(hAPP(c_member(_u15486), skolem374(_u15488, _u15487, _u15486)), _u15487)) )).
% 12.32/12.57 cnf(matrix-6623, plain, ( ~class_Orderings_Olinorder(_u15486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15486), _u15487)) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15488), _u15487)) | ( c_Big__Operators_Olinorder__class_OMin(_u15486, _u15487) = _u15488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15486), _u15488), skolem374(_u15488, _u15487, _u15486))) )).
% 12.32/12.57 cnf(matrix-6624, plain, ( ~class_Orderings_Olinorder(_u15490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15490), _u15491)) | ~hBOOL(hAPP(hAPP(c_member(_u15490), _u15492), _u15491)) | ( c_Big__Operators_Olinorder__class_OMax(_u15490, _u15491) = _u15492) | hBOOL(hAPP(hAPP(c_member(_u15490), skolem375(_u15492, _u15491, _u15490)), _u15491)) )).
% 12.32/12.57 cnf(matrix-6625, plain, ( ~class_Orderings_Olinorder(_u15490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15490), _u15491)) | ~hBOOL(hAPP(hAPP(c_member(_u15490), _u15492), _u15491)) | ( c_Big__Operators_Olinorder__class_OMax(_u15490, _u15491) = _u15492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15490), skolem375(_u15492, _u15491, _u15490)), _u15492)) )).
% 12.32/12.57 cnf(matrix-6626, plain, ( ~c_Wellfounded_Owf(_u15494, _u15495) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15494, _u15494)), hAPP(hAPP(c_Product__Type_OPair(_u15494, _u15494), hAPP(_u15496, hAPP(c_Nat_OSuc, skolem376(_u15496, _u15495, _u15494)))), hAPP(_u15496, skolem376(_u15496, _u15495, _u15494)))), _u15495)) )).
% 12.32/12.57 cnf(matrix-6627, plain, ( ~class_Groups_Ocomm__monoid__add(_u15498) | ~c_Fun_Oinj__on(_u15499, _u15500, _u15501, _u15502) | ( _u15503 != hAPP(c_Set_Oimage(_u15499, _u15500, _u15501), _u15502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15500, _u15498), _u15505), _u15503) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15499, _u15498), _u15504), _u15502)) | hBOOL(hAPP(hAPP(c_member(_u15499), skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)), _u15502)) )).
% 12.32/12.57 cnf(matrix-6628, plain, ( ~class_Groups_Ocomm__monoid__add(_u15498) | ~c_Fun_Oinj__on(_u15499, _u15500, _u15501, _u15502) | ( _u15503 != hAPP(c_Set_Oimage(_u15499, _u15500, _u15501), _u15502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15500, _u15498), _u15505), _u15503) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15499, _u15498), _u15504), _u15502)) | ( hAPP(_u15504, skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)) != hAPP(_u15505, hAPP(_u15501, skolem377(_u15505, _u15504, _u15503, _u15502, _u15501, _u15500, _u15499, _u15498)))) )).
% 12.32/12.57 cnf(matrix-6629, 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), _u15508), _u15510)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15508), _u15510)) )).
% 12.32/12.57 cnf(matrix-6630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), _u15511)) | 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), _u15509), _u15511)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.32/12.57 cnf(matrix-6631, plain, ( ~c_Wellfounded_Owf(_u15512, _u15513) | c_Wellfounded_Owf(_u15512, c_Transitive__Closure_Otrancl(_u15512, _u15513)) )).
% 12.32/12.57 cnf(matrix-6632, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.32/12.57 cnf(matrix-6633, plain, ( ~c_Wellfounded_Oacyclic(_u15518, _u15520) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15518, _u15518)), hAPP(hAPP(c_Product__Type_OPair(_u15518, _u15518), _u15514), _u15514)), c_Transitive__Closure_Otrancl(_u15518, _u15520))) )).
% 12.32/12.57 cnf(matrix-6634, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15519, _u15519)), hAPP(hAPP(c_Product__Type_OPair(_u15519, _u15519), skolem378(_u15521, _u15519)), skolem378(_u15521, _u15519))), c_Transitive__Closure_Otrancl(_u15519, _u15521))) | c_Wellfounded_Oacyclic(_u15519, _u15521) )).
% 12.32/12.57 cnf(matrix-6635, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15522, _u15522)), hAPP(hAPP(c_Product__Type_OPair(_u15522, _u15522), _u15523), _u15524)), _u15525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15522, _u15522)), hAPP(hAPP(c_Product__Type_OPair(_u15522, _u15522), _u15523), _u15524)), c_Transitive__Closure_Otrancl(_u15522, _u15525))) )).
% 12.32/12.57 cnf(matrix-6636, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15526, _u15526), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15526, _u15527)), hAPP(hAPP(c_Product__Type_OSigma(_u15526, _u15526), hAPP(c_Relation_OField(_u15526), _u15527)), hAPP(c_COMBK(tc_fun(_u15526, tc_HOL_Obool), _u15526), hAPP(c_Relation_OField(_u15526), _u15527))))) )).
% 12.32/12.57 cnf(matrix-6637, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), _u15529), _u15530)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), _u15529), c_Transitive__Closure_Otrancl(_u15528, _u15530))) )).
% 12.32/12.57 cnf(matrix-6638, plain, ( ( c_Transitive__Closure_Otrancl(_u15531, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15531, _u15531), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15531, _u15531), tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6639, plain, ( ( hAPP(c_Relation_ODomain(_u15532, _u15532), c_Transitive__Closure_Otrancl(_u15532, _u15533)) = hAPP(c_Relation_ODomain(_u15532, _u15532), _u15533)) )).
% 12.32/12.57 cnf(matrix-6640, plain, ( ( hAPP(c_Relation_ORange(_u15534, _u15534), c_Transitive__Closure_Otrancl(_u15534, _u15535)) = hAPP(c_Relation_ORange(_u15534, _u15534), _u15535)) )).
% 12.32/12.57 cnf(matrix-6641, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15538, _u15538)), c_Transitive__Closure_Otrancl(_u15538, _u15540))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15538, _u15538)), _u15540)) )).
% 12.32/12.57 cnf(matrix-6642, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15539, _u15539)), _u15541)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15539, _u15539)), c_Transitive__Closure_Otrancl(_u15539, _u15541))) )).
% 12.32/12.57 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15543), _u15544)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15544), _u15546)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), _u15543), _u15546)), c_Transitive__Closure_Otrancl(_u15542, _u15545))) )).
% 12.32/12.57 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15548), _u15549)), c_Transitive__Closure_Otrancl(_u15547, _u15550))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15549), _u15551)), _u15550)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), _u15548), _u15551)), c_Transitive__Closure_Otrancl(_u15547, _u15550))) )).
% 12.32/12.57 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15553), _u15554)), _u15555)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15554), _u15556)), c_Transitive__Closure_Otrancl(_u15552, _u15555))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15552)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15552), _u15553), _u15556)), c_Transitive__Closure_Otrancl(_u15552, _u15555))) )).
% 12.32/12.57 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15558), _u15559)), _u15560)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15559), _u15561)), _u15560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15557, _u15557)), hAPP(hAPP(c_Product__Type_OPair(_u15557, _u15557), _u15558), _u15561)), c_Transitive__Closure_Otrancl(_u15557, _u15560))) )).
% 12.32/12.57 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15562, _u15562)), _u15563), c_Transitive__Closure_Otrancl(_u15562, _u15564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15562, _u15562), tc_HOL_Obool)), _u15564), _u15565)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15562, _u15562)), _u15563), c_Transitive__Closure_Otrancl(_u15562, _u15565))) )).
% 12.32/12.57 cnf(matrix-6648, plain, ( ( c_Transitive__Closure_Otrancl(_u15566, _u15567) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15566, _u15566), tc_HOL_Obool)), _u15567), hAPP(hAPP(c_Relation_Orel__comp(_u15566, _u15566, _u15566), c_Transitive__Closure_Otrancl(_u15566, _u15567)), _u15567))) )).
% 12.32/12.57 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15568, _u15568), tc_HOL_Obool)), _u15569), hAPP(hAPP(c_Product__Type_OSigma(_u15568, _u15568), _u15570), hAPP(c_COMBK(tc_fun(_u15568, tc_HOL_Obool), _u15568), _u15570)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15568, _u15568), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15568, _u15569)), hAPP(hAPP(c_Product__Type_OSigma(_u15568, _u15568), _u15570), hAPP(c_COMBK(tc_fun(_u15568, tc_HOL_Obool), _u15568), _u15570)))) )).
% 12.32/12.57 cnf(matrix-6650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), _u15572), _u15573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15571, _u15571, _u15571), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15571, _u15572)), _u15573)), _u15572)), _u15573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15571, _u15571), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15571, _u15572)), _u15573)) )).
% 12.32/12.57 cnf(matrix-6651, plain, ( ( c_Transitive__Closure_Otrancl(_u15574, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), _u15575), _u15576)), _u15577)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15574, _u15577)), hAPP(c_Set_OCollect(tc_prod(_u15574, _u15574)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15574, _u15574, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15574, tc_fun(_u15574, tc_HOL_Obool), tc_fun(_u15574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15574, tc_HOL_Obool), tc_fun(_u15574, tc_HOL_Obool)), _u15574), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15574)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15574), c_fconj), hAPP(hAPP(c_COMBC(_u15574, tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15574, _u15574), tc_fun(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), _u15574), c_member(tc_prod(_u15574, _u15574))), hAPP(hAPP(c_COMBC(_u15574, _u15574, tc_prod(_u15574, _u15574)), c_Product__Type_OPair(_u15574, _u15574)), _u15575))), c_Transitive__Closure_Ortrancl(_u15574, _u15577))))), hAPP(hAPP(c_COMBC(_u15574, tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15574, _u15574), tc_fun(tc_fun(tc_prod(_u15574, _u15574), tc_HOL_Obool), tc_HOL_Obool), _u15574), c_member(tc_prod(_u15574, _u15574))), hAPP(c_Product__Type_OPair(_u15574, _u15574), _u15576))), c_Transitive__Closure_Ortrancl(_u15574, _u15577))))))) )).
% 12.32/12.57 cnf(matrix-6652, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15582, tc_fun(_u15582, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15582, tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_fun(_u15582, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15582, tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_fun(_u15582, tc_HOL_Obool)), _u15582), c_COMBC(_u15582, tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15582, tc_prod(_u15582, _u15582)), tc_fun(_u15582, tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool)), _u15582), hAPP(c_COMBB(tc_prod(_u15582, _u15582), tc_fun(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool), tc_HOL_Obool), _u15582), c_member(tc_prod(_u15582, _u15582)))), c_Product__Type_OPair(_u15582, _u15582)))), _u15584)), c_fequal), _u15586), _u15588)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15582, _u15582)), hAPP(hAPP(c_Product__Type_OPair(_u15582, _u15582), _u15586), _u15588)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15582, _u15582), tc_HOL_Obool)), _u15584), c_Relation_OId(_u15582)))) )).
% 12.32/12.57 cnf(matrix-6653, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15583, _u15583)), hAPP(hAPP(c_Product__Type_OPair(_u15583, _u15583), _u15587), _u15589)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool)), _u15585), c_Relation_OId(_u15583)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15583, tc_fun(_u15583, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15583, tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_fun(_u15583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15583, tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_fun(_u15583, tc_HOL_Obool)), _u15583), c_COMBC(_u15583, tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15583, tc_prod(_u15583, _u15583)), tc_fun(_u15583, tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool)), _u15583), hAPP(c_COMBB(tc_prod(_u15583, _u15583), tc_fun(tc_fun(tc_prod(_u15583, _u15583), tc_HOL_Obool), tc_HOL_Obool), _u15583), c_member(tc_prod(_u15583, _u15583)))), c_Product__Type_OPair(_u15583, _u15583)))), _u15585)), c_fequal), _u15587), _u15589)) )).
% 12.32/12.57 cnf(matrix-6654, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), _u15591), _u15592)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), _u15591), c_Transitive__Closure_Ortrancl(_u15590, _u15592))) )).
% 12.32/12.57 cnf(matrix-6655, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15593, _u15593)), hAPP(hAPP(c_Product__Type_OPair(_u15593, _u15593), _u15594), _u15594)), c_Transitive__Closure_Ortrancl(_u15593, _u15595))) )).
% 12.32/12.57 cnf(matrix-6656, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15596, _u15596)), hAPP(hAPP(c_Product__Type_OPair(_u15596, _u15596), _u15597), _u15597)), c_Relation_OId(_u15596))) )).
% 12.32/12.57 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15598, _u15598)), hAPP(hAPP(c_Product__Type_OPair(_u15598, _u15598), _u15599), _u15600)), c_Transitive__Closure_Otrancl(_u15598, _u15601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15598, _u15598)), hAPP(hAPP(c_Product__Type_OPair(_u15598, _u15598), _u15599), _u15600)), c_Transitive__Closure_Ortrancl(_u15598, _u15601))) )).
% 12.32/12.57 cnf(matrix-6658, plain, ( ( c_Transitive__Closure_Otrancl(_u15602, _u15603) = hAPP(hAPP(c_Relation_Orel__comp(_u15602, _u15602, _u15602), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15603))) )).
% 12.32/12.57 cnf(matrix-6659, plain, ( ( c_Transitive__Closure_Otrancl(_u15604, _u15605) = hAPP(hAPP(c_Relation_Orel__comp(_u15604, _u15604, _u15604), c_Transitive__Closure_Ortrancl(_u15604, _u15605)), _u15605)) )).
% 12.32/12.57 cnf(matrix-6660, plain, ( ( c_Transitive__Closure_Otrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), _u15607), c_Relation_OId(_u15606))) = c_Transitive__Closure_Ortrancl(_u15606, _u15607)) )).
% 12.32/12.57 cnf(matrix-6661, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15608, _u15608), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15608, _u15609)), c_Relation_OId(_u15608)) = c_Transitive__Closure_Ortrancl(_u15608, _u15609)) )).
% 12.32/12.57 cnf(matrix-6662, plain, ( ( c_Transitive__Closure_Otrancl(_u15610, c_Transitive__Closure_Ortrancl(_u15610, _u15611)) = c_Transitive__Closure_Ortrancl(_u15610, _u15611)) )).
% 12.32/12.57 cnf(matrix-6663, plain, ( ( c_Transitive__Closure_Ortrancl(_u15612, c_Transitive__Closure_Otrancl(_u15612, _u15613)) = c_Transitive__Closure_Ortrancl(_u15612, _u15613)) )).
% 12.32/12.57 cnf(matrix-6664, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15615), _u15616)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15616), _u15618)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15614, _u15614)), hAPP(hAPP(c_Product__Type_OPair(_u15614, _u15614), _u15615), _u15618)), c_Transitive__Closure_Ortrancl(_u15614, _u15617))) )).
% 12.32/12.57 cnf(matrix-6665, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15620), _u15621)), c_Transitive__Closure_Ortrancl(_u15619, _u15622))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15621), _u15623)), _u15622)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15619, _u15619)), hAPP(hAPP(c_Product__Type_OPair(_u15619, _u15619), _u15620), _u15623)), c_Transitive__Closure_Ortrancl(_u15619, _u15622))) )).
% 12.32/12.57 cnf(matrix-6666, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15625), _u15626)), _u15627)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15626), _u15628)), c_Transitive__Closure_Ortrancl(_u15624, _u15627))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15624, _u15624)), hAPP(hAPP(c_Product__Type_OPair(_u15624, _u15624), _u15625), _u15628)), c_Transitive__Closure_Ortrancl(_u15624, _u15627))) )).
% 12.32/12.57 cnf(matrix-6667, plain, ( ( c_Transitive__Closure_Ortrancl(_u15629, c_Transitive__Closure_Ortrancl(_u15629, _u15630)) = c_Transitive__Closure_Ortrancl(_u15629, _u15630)) )).
% 12.32/12.57 cnf(matrix-6668, plain, ( c_Relation_Orefl__on(_u15631, c_Orderings_Otop__class_Otop(tc_fun(_u15631, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15631, _u15632)) )).
% 12.32/12.57 cnf(matrix-6669, plain, ( ( c_Transitive__Closure_Ortrancl(_u15633, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15633, _u15633), tc_HOL_Obool)), _u15634), c_Relation_OId(_u15633))) = c_Transitive__Closure_Ortrancl(_u15633, _u15634)) )).
% 12.32/12.57 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15635, _u15635), tc_HOL_Obool)), _u15636), _u15637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15635, _u15635), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15635, _u15636)), c_Transitive__Closure_Ortrancl(_u15635, _u15637))) )).
% 12.32/12.57 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15638, _u15638), tc_HOL_Obool)), _u15639), _u15640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15638, _u15638), tc_HOL_Obool)), _u15640), c_Transitive__Closure_Ortrancl(_u15638, _u15639))) | ( c_Transitive__Closure_Ortrancl(_u15638, _u15640) = c_Transitive__Closure_Ortrancl(_u15638, _u15639)) )).
% 12.32/12.57 cnf(matrix-6672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15641, _u15641), tc_HOL_Obool)), _u15642), c_Transitive__Closure_Ortrancl(_u15641, _u15643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15641, _u15641), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15641, _u15642)), c_Transitive__Closure_Ortrancl(_u15641, _u15643))) )).
% 12.32/12.57 cnf(matrix-6673, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15644, _u15644), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15644, _u15645)), c_Relation_OId(_u15644)) = c_Transitive__Closure_Ortrancl(_u15644, _u15645)) )).
% 12.32/12.57 cnf(matrix-6674, plain, ( ( c_Transitive__Closure_Ortrancl(_u15646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15646, _u15646), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15646, _u15647)), c_Transitive__Closure_Ortrancl(_u15646, _u15648))) = c_Transitive__Closure_Ortrancl(_u15646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15646, _u15646), tc_HOL_Obool)), _u15647), _u15648))) )).
% 12.32/12.57 cnf(matrix-6675, plain, ( ( c_Transitive__Closure_Ortrancl(_u15649, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15649, _u15649), tc_HOL_Obool)), _u15650), c_Relation_OId(_u15649))) = c_Transitive__Closure_Ortrancl(_u15649, _u15650)) )).
% 12.32/12.57 cnf(matrix-6676, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15651, _u15652)), c_Transitive__Closure_Ortrancl(_u15651, _u15653))), c_Transitive__Closure_Ortrancl(_u15651, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15651, _u15651), tc_HOL_Obool)), _u15652), _u15653)))) )).
% 12.32/12.57 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15654, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15654, _u15654, _u15655), _u15656)), _u15656)) | ( hAPP(c_Relation_OImage(_u15654, _u15654, c_Transitive__Closure_Ortrancl(_u15654, _u15655)), _u15656) = _u15656) )).
% 12.32/12.57 cnf(matrix-6678, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15657, _u15657), tc_HOL_Obool)), _u15659), _u15660)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, _u15659))) )).
% 12.32/12.57 cnf(matrix-6679, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15657, _u15657), tc_HOL_Obool)), _u15659), _u15660)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15657, _u15657)), _u15658), c_Transitive__Closure_Ortrancl(_u15657, _u15660))) )).
% 12.32/12.57 cnf(matrix-6680, plain, ( ( c_Transitive__Closure_Ortrancl(_u15661, _u15662) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15661, _u15661), tc_HOL_Obool)), c_Relation_OId(_u15661)), hAPP(hAPP(c_Relation_Orel__comp(_u15661, _u15661, _u15661), c_Transitive__Closure_Ortrancl(_u15661, _u15662)), _u15662))) )).
% 12.32/12.57 cnf(matrix-6681, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15663, _u15663, _u15663), c_Transitive__Closure_Ortrancl(_u15663, _u15664)), c_Transitive__Closure_Ortrancl(_u15663, _u15664)) = c_Transitive__Closure_Ortrancl(_u15663, _u15664)) )).
% 12.32/12.57 cnf(matrix-6682, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15665, _u15665, _u15665), _u15666), c_Transitive__Closure_Ortrancl(_u15665, _u15666)) = hAPP(hAPP(c_Relation_Orel__comp(_u15665, _u15665, _u15665), c_Transitive__Closure_Ortrancl(_u15665, _u15666)), _u15666)) )).
% 12.32/12.57 cnf(matrix-6683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Relation_OId(_u15667)), _u15668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15667, _u15667, _u15667), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15667, _u15669)), _u15668)), _u15669)), _u15668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15667, _u15667), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15667, _u15669)), _u15668)) )).
% 12.32/12.57 cnf(matrix-6684, plain, ( ( c_Transitive__Closure_Ortrancl(_u15670, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15670, _u15670), tc_HOL_Obool))) = c_Relation_OId(_u15670)) )).
% 12.32/12.57 cnf(matrix-6685, plain, ( ( hAPP(c_Relation_ORange(_u15671, _u15671), c_Transitive__Closure_Ortrancl(_u15671, _u15672)) = c_Orderings_Otop__class_Otop(tc_fun(_u15671, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6686, plain, ( ( hAPP(c_Relation_ODomain(_u15673, _u15673), c_Transitive__Closure_Ortrancl(_u15673, _u15674)) = c_Orderings_Otop__class_Otop(tc_fun(_u15673, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6687, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15675, _u15676, _u15676), _u15677), c_Relation_OId(_u15676)) = _u15677) )).
% 12.32/12.57 cnf(matrix-6688, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15678, _u15678, _u15679), c_Relation_OId(_u15678)), _u15680) = _u15680) )).
% 12.32/12.57 cnf(matrix-6689, plain, ( ( hAPP(c_Relation_OImage(_u15681, _u15681, c_Relation_OId(_u15681)), _u15682) = _u15682) )).
% 12.32/12.57 cnf(matrix-6690, plain, ( ( _u15688 = _u15690) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15686, _u15686)), hAPP(hAPP(c_Product__Type_OPair(_u15686, _u15686), _u15688), _u15690)), c_Relation_OId(_u15686))) )).
% 12.32/12.57 cnf(matrix-6691, plain, ( ( _u15689 != _u15691) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15689), _u15691)), c_Relation_OId(_u15687))) )).
% 12.32/12.57 cnf(matrix-6692, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15693), _u15694)), c_Transitive__Closure_Ortrancl(_u15692, _u15695))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15694), _u15696)), c_Transitive__Closure_Otrancl(_u15692, _u15695))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15692, _u15692)), hAPP(hAPP(c_Product__Type_OPair(_u15692, _u15692), _u15693), _u15696)), c_Transitive__Closure_Otrancl(_u15692, _u15695))) )).
% 12.32/12.57 cnf(matrix-6693, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15698), _u15699)), c_Transitive__Closure_Otrancl(_u15697, _u15700))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15699), _u15701)), c_Transitive__Closure_Ortrancl(_u15697, _u15700))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15697, _u15697)), hAPP(hAPP(c_Product__Type_OPair(_u15697, _u15697), _u15698), _u15701)), c_Transitive__Closure_Otrancl(_u15697, _u15700))) )).
% 12.32/12.57 cnf(matrix-6694, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15703), _u15704)), c_Transitive__Closure_Ortrancl(_u15702, _u15705))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15704), _u15706)), _u15705)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15702, _u15702)), hAPP(hAPP(c_Product__Type_OPair(_u15702, _u15702), _u15703), _u15706)), c_Transitive__Closure_Otrancl(_u15702, _u15705))) )).
% 12.32/12.57 cnf(matrix-6695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15707, _u15707)), hAPP(hAPP(c_Product__Type_OPair(_u15707, _u15707), _u15708), _u15709)), c_Transitive__Closure_Ortrancl(_u15707, _u15710))) | ( _u15708 = _u15709) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15707, _u15707)), hAPP(hAPP(c_Product__Type_OPair(_u15707, _u15707), _u15708), _u15709)), c_Transitive__Closure_Otrancl(_u15707, _u15710))) )).
% 12.32/12.57 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15712), _u15713)), _u15714)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15713), _u15715)), c_Transitive__Closure_Ortrancl(_u15711, _u15714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15711, _u15711)), hAPP(hAPP(c_Product__Type_OPair(_u15711, _u15711), _u15712), _u15715)), c_Transitive__Closure_Otrancl(_u15711, _u15714))) )).
% 12.32/12.57 cnf(matrix-6697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15720, _u15720)), hAPP(hAPP(c_Product__Type_OPair(_u15720, _u15720), _u15722), _u15724)), c_Transitive__Closure_Ortrancl(_u15720, _u15726))) | ( _u15722 = _u15724) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15720, _u15720)), hAPP(hAPP(c_Product__Type_OPair(_u15720, _u15720), _u15722), _u15724)), c_Transitive__Closure_Otrancl(_u15720, _u15726))) )).
% 12.32/12.57 cnf(matrix-6698, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Ortrancl(_u15721, _u15727))) | ( _u15723 != _u15725) )).
% 12.32/12.57 cnf(matrix-6699, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Ortrancl(_u15721, _u15727))) | ( _u15723 = _u15725) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15721, _u15721)), hAPP(hAPP(c_Product__Type_OPair(_u15721, _u15721), _u15723), _u15725)), c_Transitive__Closure_Otrancl(_u15721, _u15727))) )).
% 12.32/12.57 cnf(matrix-6700, plain, ( ( hAPP(c_Relation_ODomain(_u15728, _u15728), c_Relation_OId(_u15728)) = c_Orderings_Otop__class_Otop(tc_fun(_u15728, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6701, plain, ( ( hAPP(c_Relation_ORange(_u15729, _u15729), c_Relation_OId(_u15729)) = c_Orderings_Otop__class_Otop(tc_fun(_u15729, tc_HOL_Obool))) )).
% 12.32/12.57 cnf(matrix-6702, plain, ( c_Relation_Orefl__on(_u15730, c_Orderings_Otop__class_Otop(tc_fun(_u15730, tc_HOL_Obool)), c_Relation_OId(_u15730)) )).
% 12.32/12.57 cnf(matrix-6703, plain, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.32/12.57 cnf(matrix-6704, plain, ( hBOOL(hAPP(hAPP(c_member(_u15731), _u15732), hAPP(c_Relation_ODomain(_u15731, _u15731), _u15733))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), hAPP(hAPP(c_Product__Type_OPair(_u15731, _u15731), _u15732), _u15734)), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) | ( _u15732 = _u15734) )).
% 12.32/12.57 cnf(matrix-6705, plain, ( hBOOL(hAPP(hAPP(c_member(_u15731), _u15732), hAPP(c_Relation_ODomain(_u15731, _u15731), _u15733))) | ( _u15732 != _u15734) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), hAPP(hAPP(c_Product__Type_OPair(_u15731, _u15731), _u15732), _u15734)), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) )).
% 12.32/12.57 cnf(matrix-6706, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15735, _u15735)), hAPP(hAPP(c_Product__Type_OPair(_u15735, _u15735), _u15736), _u15737)), c_Transitive__Closure_Ortrancl(_u15735, _u15738))) | ~hBOOL(hAPP(hAPP(c_member(_u15735), _u15737), c_Wellfounded_Oacc(_u15735, _u15738))) | hBOOL(hAPP(hAPP(c_member(_u15735), _u15736), c_Wellfounded_Oacc(_u15735, _u15738))) )).
% 12.32/12.57 cnf(matrix-6707, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15739), _u15740), c_Wellfounded_Oacc(_u15739, _u15741))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15739, _u15739)), hAPP(hAPP(c_Product__Type_OPair(_u15739, _u15739), _u15742), _u15740)), c_Transitive__Closure_Ortrancl(_u15739, _u15741))) | hBOOL(hAPP(hAPP(c_member(_u15739), _u15742), c_Wellfounded_Oacc(_u15739, _u15741))) )).
% 12.32/12.57 cnf(matrix-6708, plain, ( ~c_Wellfounded_Owf(_u15747, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15749), _u15751)), _u15753)) | c_Wellfounded_Owf(_u15747, _u15753) )).
% 12.32/12.57 cnf(matrix-6709, plain, ( ~c_Wellfounded_Owf(_u15747, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15749), _u15751)), _u15753)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15747, _u15747)), hAPP(hAPP(c_Product__Type_OPair(_u15747, _u15747), _u15751), _u15749)), c_Transitive__Closure_Ortrancl(_u15747, _u15753))) )).
% 12.32/12.57 cnf(matrix-6710, plain, ( ~c_Wellfounded_Owf(_u15748, _u15754) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15748, _u15748)), hAPP(hAPP(c_Product__Type_OPair(_u15748, _u15748), _u15752), _u15750)), c_Transitive__Closure_Ortrancl(_u15748, _u15754))) | c_Wellfounded_Owf(_u15748, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15748, _u15748)), hAPP(hAPP(c_Product__Type_OPair(_u15748, _u15748), _u15750), _u15752)), _u15754)) )).
% 12.32/12.57 cnf(matrix-6711, plain, ( ~c_Wellfounded_Oacyclic(_u15759, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), _u15765)) | c_Wellfounded_Oacyclic(_u15759, _u15765) )).
% 12.32/12.57 cnf(matrix-6712, plain, ( ~c_Wellfounded_Oacyclic(_u15759, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), _u15765)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15763), _u15761)), c_Transitive__Closure_Ortrancl(_u15759, _u15765))) )).
% 12.32/12.57 cnf(matrix-6713, plain, ( ~c_Wellfounded_Oacyclic(_u15760, _u15766) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15760, _u15760)), hAPP(hAPP(c_Product__Type_OPair(_u15760, _u15760), _u15764), _u15762)), c_Transitive__Closure_Ortrancl(_u15760, _u15766))) | c_Wellfounded_Oacyclic(_u15760, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15760, _u15760)), hAPP(hAPP(c_Product__Type_OPair(_u15760, _u15760), _u15762), _u15764)), _u15766)) )).
% 12.32/12.57 cnf(matrix-6714, plain, ( c_Relation_Orefl__on(_u15767, c_Orderings_Otop__class_Otop(tc_fun(_u15767, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15767, _u15767), tc_HOL_Obool)), _u15768), c_Relation_OId(_u15767))) )).
% 12.32/12.57 cnf(matrix-6715, plain, ( ( c_Relation_OId(_u15769) = hAPP(c_Set_OCollect(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_COMBB(tc_fun(_u15769, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15769, _u15769)), c_HOL_OEx(_u15769)), hAPP(hAPP(c_COMBC(tc_prod(_u15769, _u15769), tc_fun(_u15769, tc_prod(_u15769, _u15769)), tc_fun(_u15769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15769, _u15769), tc_HOL_Obool), tc_fun(tc_fun(_u15769, tc_prod(_u15769, _u15769)), tc_fun(_u15769, tc_HOL_Obool)), tc_prod(_u15769, _u15769)), c_COMBB(tc_prod(_u15769, _u15769), tc_HOL_Obool, _u15769)), c_fequal)), hAPP(hAPP(c_COMBS(_u15769, _u15769, tc_prod(_u15769, _u15769)), c_Product__Type_OPair(_u15769, _u15769)), c_COMBI(_u15769)))))) )).
% 12.32/12.57 cnf(matrix-6716, plain, ( c_Relation_Oirrefl(_u15770, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15770, _u15770), tc_HOL_Obool)), _u15771), c_Relation_OId(_u15770))) )).
% 12.32/12.57 cnf(matrix-6717, 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), _u15774), _u15776)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15774), _u15776)) )).
% 12.32/12.57 cnf(matrix-6718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15775), _u15777)) | 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), _u15775), _u15777)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.32/12.57 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15778, _u15778)), hAPP(hAPP(c_Product__Type_OPair(_u15778, _u15778), _u15779), _u15780)), c_Transitive__Closure_Ortrancl(_u15778, _u15781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15778, _u15778), tc_HOL_Obool)), _u15781), hAPP(hAPP(c_Product__Type_OSigma(_u15778, _u15778), _u15782), hAPP(c_COMBK(tc_fun(_u15778, tc_HOL_Obool), _u15778), _u15782)))) | ( _u15779 = _u15780) | hBOOL(hAPP(hAPP(c_member(_u15778), _u15779), _u15782)) )).
% 12.32/12.57 cnf(matrix-6720, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15783, _u15783), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15783, _u15783), _u15784)), c_Transitive__Closure_Ortrancl(_u15783, _u15784)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15783, _u15783), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15783, _u15783)), hAPP(hAPP(c_Product__Type_OPair(_u15783, _u15783), _u15785), _u15785)), c_Transitive__Closure_Otrancl(_u15783, _u15784))) )).
% 12.32/12.57 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15787, _u15787)), hAPP(hAPP(c_Product__Type_OPair(_u15787, _u15787), hAPP(_u15788, hAPP(c_Nat_OSuc, skolem379(_u15791, _u15790, _u15789, _u15788, _u15787)))), hAPP(_u15788, skolem379(_u15791, _u15790, _u15789, _u15788, _u15787)))), c_Transitive__Closure_Ortrancl(_u15787, _u15789))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15787, _u15787)), hAPP(hAPP(c_Product__Type_OPair(_u15787, _u15787), hAPP(_u15788, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15790), _u15791))), hAPP(_u15788, _u15790))), c_Transitive__Closure_Ortrancl(_u15787, _u15789))) )).
% 12.32/12.57 cnf(matrix-6722, plain, ( ( c_Transitive__Closure_Ortrancl(_u15792, hAPP(c_Relation_Oconverse(_u15792, _u15792), _u15793)) = hAPP(c_Relation_Oconverse(_u15792, _u15792), c_Transitive__Closure_Ortrancl(_u15792, _u15793))) )).
% 12.32/12.57 cnf(matrix-6723, plain, ( ( hAPP(c_Relation_Oconverse(_u15794, _u15794), c_Relation_OId(_u15794)) = c_Relation_OId(_u15794)) )).
% 12.32/12.57 cnf(matrix-6724, plain, ( ~c_Equiv__Relations_Oequiv(_u15795, _u15796, _u15797) | ( hAPP(hAPP(c_Relation_Orel__comp(_u15795, _u15795, _u15795), hAPP(c_Relation_Oconverse(_u15795, _u15795), _u15797)), _u15797) = _u15797) )).
% 12.32/12.57 cnf(matrix-6725, plain, ( ( hAPP(c_Relation_Oconverse(_u15798, _u15799), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(tc_prod(_u15798, _u15799), tc_HOL_Obool)), _u15801), _u15802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(tc_prod(_u15799, _u15798), tc_HOL_Obool)), _u15801), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15798, _u15799), tc_HOL_Obool), tc_fun(tc_prod(_u15799, _u15798), tc_HOL_Obool), _u15800), c_Relation_Oconverse(_u15798, _u15799)), _u15802))) )).
% 12.32/12.57 cnf(matrix-6726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15803, _u15804)), hAPP(hAPP(c_Product__Type_OPair(_u15803, _u15804), _u15805), _u15806)), hAPP(c_Relation_Oconverse(_u15804, _u15803), _u15807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15804, _u15803)), hAPP(hAPP(c_Product__Type_OPair(_u15804, _u15803), _u15806), _u15805)), _u15807)) )).
% 12.32/12.57 cnf(matrix-6727, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15808, _u15809)), hAPP(hAPP(c_Product__Type_OPair(_u15808, _u15809), _u15810), _u15811)), _u15812)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15809, _u15808)), hAPP(hAPP(c_Product__Type_OPair(_u15809, _u15808), _u15811), _u15810)), hAPP(c_Relation_Oconverse(_u15808, _u15809), _u15812))) )).
% 12.32/12.57 cnf(matrix-6728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15818, _u15820)), hAPP(hAPP(c_Product__Type_OPair(_u15818, _u15820), _u15822), _u15824)), hAPP(c_Relation_Oconverse(_u15820, _u15818), _u15826))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15820, _u15818)), hAPP(hAPP(c_Product__Type_OPair(_u15820, _u15818), _u15824), _u15822)), _u15826)) )).
% 12.32/12.57 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15821, _u15819)), hAPP(hAPP(c_Product__Type_OPair(_u15821, _u15819), _u15825), _u15823)), _u15827)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15819, _u15821)), hAPP(hAPP(c_Product__Type_OPair(_u15819, _u15821), _u15823), _u15825)), hAPP(c_Relation_Oconverse(_u15821, _u15819), _u15827))) )).
% 12.32/12.57 cnf(matrix-6730, plain, ( ( hAPP(c_Relation_Oconverse(_u15828, _u15828), hAPP(hAPP(c_Relation_Oinv__image(_u15829, _u15828), _u15830), _u15831)) = hAPP(hAPP(c_Relation_Oinv__image(_u15829, _u15828), hAPP(c_Relation_Oconverse(_u15829, _u15829), _u15830)), _u15831)) )).
% 12.32/12.57 cnf(matrix-6731, plain, ( ( hAPP(c_Relation_Oconverse(_u15832, _u15832), c_Relation_OId__on(_u15832, _u15833)) = c_Relation_OId__on(_u15832, _u15833)) )).
% 12.32/12.57 cnf(matrix-6732, plain, ( ( hAPP(c_Relation_OField(_u15834), hAPP(c_Relation_Oconverse(_u15834, _u15834), _u15835)) = hAPP(c_Relation_OField(_u15834), _u15835)) )).
% 12.32/12.57 cnf(matrix-6733, plain, ( ( hAPP(c_Relation_Oconverse(_u15836, _u15837), hAPP(c_Relation_Oconverse(_u15837, _u15836), _u15838)) = _u15838) )).
% 12.32/12.57 cnf(matrix-6734, plain, ( ( hAPP(c_Relation_Oconverse(_u15839, _u15840), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15839, _u15840), tc_HOL_Obool)), _u15841), _u15842)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15840, _u15839), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15839, _u15840), _u15841)), hAPP(c_Relation_Oconverse(_u15839, _u15840), _u15842))) )).
% 12.32/12.57 cnf(matrix-6735, plain, ( ~c_Relation_Orefl__on(_u15846, _u15848, hAPP(c_Relation_Oconverse(_u15846, _u15846), _u15850)) | c_Relation_Orefl__on(_u15846, _u15848, _u15850) )).
% 12.32/12.57 cnf(matrix-6736, plain, ( ~c_Relation_Orefl__on(_u15847, _u15849, _u15851) | c_Relation_Orefl__on(_u15847, _u15849, hAPP(c_Relation_Oconverse(_u15847, _u15847), _u15851)) )).
% 12.32/12.57 cnf(matrix-6737, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15855, _u15857)), hAPP(c_Relation_Oconverse(_u15857, _u15855), _u15859))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15857, _u15855)), _u15859)) )).
% 12.32/12.57 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15858, _u15856)), _u15860)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15856, _u15858)), hAPP(c_Relation_Oconverse(_u15858, _u15856), _u15860))) )).
% 12.32/12.57 cnf(matrix-6739, plain, ( ( hAPP(c_Relation_Oconverse(_u15861, _u15862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15861, _u15862), tc_HOL_Obool)), _u15863), _u15864)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15862, _u15861), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15861, _u15862), _u15863)), hAPP(c_Relation_Oconverse(_u15861, _u15862), _u15864))) )).
% 12.32/12.57 cnf(matrix-6740, plain, ( ( hAPP(c_Relation_Oconverse(_u15865, _u15866), hAPP(hAPP(c_Relation_Orel__comp(_u15865, _u15867, _u15866), _u15868), _u15869)) = hAPP(hAPP(c_Relation_Orel__comp(_u15866, _u15867, _u15865), hAPP(c_Relation_Oconverse(_u15867, _u15866), _u15869)), hAPP(c_Relation_Oconverse(_u15865, _u15867), _u15868))) )).
% 12.32/12.57 cnf(matrix-6741, plain, ( ~c_Wellfounded_Oacyclic(_u15872, hAPP(c_Relation_Oconverse(_u15872, _u15872), _u15874)) | c_Wellfounded_Oacyclic(_u15872, _u15874) )).
% 12.32/12.57 cnf(matrix-6742, plain, ( ~c_Wellfounded_Oacyclic(_u15873, _u15875) | c_Wellfounded_Oacyclic(_u15873, hAPP(c_Relation_Oconverse(_u15873, _u15873), _u15875)) )).
% 12.32/12.57 cnf(matrix-6743, plain, ( ( hAPP(c_Relation_ORange(_u15876, _u15877), hAPP(c_Relation_Oconverse(_u15877, _u15876), _u15878)) = hAPP(c_Relation_ODomain(_u15877, _u15876), _u15878)) )).
% 12.32/12.57 cnf(matrix-6744, plain, ( ( hAPP(c_Relation_ODomain(_u15879, _u15880), hAPP(c_Relation_Oconverse(_u15880, _u15879), _u15881)) = hAPP(c_Relation_ORange(_u15880, _u15879), _u15881)) )).
% 12.32/12.57 cnf(matrix-6745, plain, ( ( hAPP(c_Relation_ORange(_u15882, _u15883), _u15884) = hAPP(c_Relation_ODomain(_u15883, _u15882), hAPP(c_Relation_Oconverse(_u15882, _u15883), _u15884))) )).
% 12.32/12.57 cnf(matrix-6746, plain, ( ~c_Wellfounded_Owf(_u15885, hAPP(c_Relation_Oconverse(_u15885, _u15885), _u15886)) | c_Wellfounded_Owf(_u15885, hAPP(c_Relation_Oconverse(_u15885, _u15885), c_Transitive__Closure_Otrancl(_u15885, _u15886))) )).
% 12.32/12.57 cnf(matrix-6747, plain, ( ( c_Transitive__Closure_Otrancl(_u15887, hAPP(c_Relation_Oconverse(_u15887, _u15887), _u15888)) = hAPP(c_Relation_Oconverse(_u15887, _u15887), c_Transitive__Closure_Otrancl(_u15887, _u15888))) )).
% 12.32/12.57 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15889, _u15889)), hAPP(hAPP(c_Product__Type_OPair(_u15889, _u15889), _u15890), _u15891)), c_Transitive__Closure_Ortrancl(_u15889, _u15892))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15889, _u15889)), hAPP(hAPP(c_Product__Type_OPair(_u15889, _u15889), _u15891), _u15890)), c_Transitive__Closure_Ortrancl(_u15889, hAPP(c_Relation_Oconverse(_u15889, _u15889), _u15892)))) )).
% 12.32/12.57 cnf(matrix-6749, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15893, _u15893)), hAPP(hAPP(c_Product__Type_OPair(_u15893, _u15893), _u15894), _u15895)), c_Transitive__Closure_Ortrancl(_u15893, hAPP(c_Relation_Oconverse(_u15893, _u15893), _u15896)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15893, _u15893)), hAPP(hAPP(c_Product__Type_OPair(_u15893, _u15893), _u15895), _u15894)), c_Transitive__Closure_Ortrancl(_u15893, _u15896))) )).
% 12.32/12.57 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15897, _u15897)), hAPP(hAPP(c_Product__Type_OPair(_u15897, _u15897), _u15898), _u15899)), hAPP(c_Relation_Oconverse(_u15897, _u15897), c_Transitive__Closure_Otrancl(_u15897, _u15900)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15897, _u15897)), hAPP(hAPP(c_Product__Type_OPair(_u15897, _u15897), _u15898), _u15899)), c_Transitive__Closure_Otrancl(_u15897, hAPP(c_Relation_Oconverse(_u15897, _u15897), _u15900)))) )).
% 12.32/12.57 cnf(matrix-6751, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15901, _u15901)), hAPP(hAPP(c_Product__Type_OPair(_u15901, _u15901), _u15902), _u15903)), c_Transitive__Closure_Otrancl(_u15901, hAPP(c_Relation_Oconverse(_u15901, _u15901), _u15904)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15901, _u15901)), hAPP(hAPP(c_Product__Type_OPair(_u15901, _u15901), _u15902), _u15903)), hAPP(c_Relation_Oconverse(_u15901, _u15901), c_Transitive__Closure_Otrancl(_u15901, _u15904)))) )).
% 12.32/12.57 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15910, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15912, _u15910, _u15914), _u15916)), _u15918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15912, tc_HOL_Obool)), _u15916), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15912, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15910, _u15912, hAPP(c_Relation_Oconverse(_u15912, _u15910), _u15914)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15910, tc_HOL_Obool)), _u15918))))) )).
% 12.32/12.57 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15913, tc_HOL_Obool)), _u15917), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15913, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15911, _u15913, hAPP(c_Relation_Oconverse(_u15913, _u15911), _u15915)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15911, tc_HOL_Obool)), _u15919))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15911, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15913, _u15911, _u15915), _u15917)), _u15919)) )).
% 12.32/12.57 cnf(matrix-6754, plain, ( ~c_Relation_Orefl__on(_u15920, _u15921, _u15922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15920, _u15920), tc_HOL_Obool)), _u15922), hAPP(hAPP(c_Relation_Orel__comp(_u15920, _u15920, _u15920), hAPP(c_Relation_Oconverse(_u15920, _u15920), _u15922)), _u15922))) )).
% 12.32/12.57 cnf(matrix-6755, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15923, _u15923, _u15923), hAPP(c_Relation_Oconverse(_u15923, _u15923), _u15924)), _u15924) != _u15924) | ( hAPP(c_Relation_ODomain(_u15923, _u15923), _u15924) != _u15925) | c_Equiv__Relations_Oequiv(_u15923, _u15925, _u15924) )).
% 12.32/12.57 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15926, _u15926)), _u15927)) | ~c_Wellfounded_Oacyclic(_u15926, _u15927) | c_Wellfounded_Owf(_u15926, hAPP(c_Relation_Oconverse(_u15926, _u15926), _u15927)) )).
% 12.32/12.57 cnf(matrix-6757, plain, ( ( hAPP(c_Relation_Oconverse(_u15928, _u15929), _u15930) = hAPP(c_Set_OCollect(tc_prod(_u15929, _u15928)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15929, _u15928, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15929, tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_fun(_u15928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15928, tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_fun(_u15928, tc_HOL_Obool)), _u15929), c_COMBC(_u15928, tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15928, tc_prod(_u15928, _u15929)), tc_fun(_u15928, tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool)), _u15929), hAPP(c_COMBB(tc_prod(_u15928, _u15929), tc_fun(tc_fun(tc_prod(_u15928, _u15929), tc_HOL_Obool), tc_HOL_Obool), _u15928), c_member(tc_prod(_u15928, _u15929)))), hAPP(c_COMBC(_u15928, _u15929, tc_prod(_u15928, _u15929)), c_Product__Type_OPair(_u15928, _u15929))))), _u15930)))) )).
% 12.32/12.57 cnf(matrix-6758, plain, ( ~c_Relation_Ototal__on(_u15934, _u15936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15934, _u15934), tc_HOL_Obool)), _u15938), c_Relation_OId(_u15934))) | c_Relation_Ototal__on(_u15934, _u15936, _u15938) )).
% 12.32/12.57 cnf(matrix-6759, plain, ( ~c_Relation_Ototal__on(_u15935, _u15937, _u15939) | c_Relation_Ototal__on(_u15935, _u15937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15935, _u15935), tc_HOL_Obool)), _u15939), c_Relation_OId(_u15935))) )).
% 12.32/12.57 cnf(matrix-6760, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15940, _u15940)), _u15941), c_Transitive__Closure_Ortrancl(_u15940, _u15942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15940, _u15940)), _u15941), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u15940, _u15940), 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(_u15940, _u15940), tc_HOL_Obool), tc_fun(tc_prod(_u15940, _u15940), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u15940, _u15940), tc_HOL_Obool)), _u15942)))) )).
% 12.32/12.57 cnf(matrix-6761, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15948, _u15948)), _u15950), c_Transitive__Closure_Ortrancl(_u15948, _u15952))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15948, _u15948)), _u15950), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15948, _u15948), tc_HOL_Obool), skolem380(_u15952, _u15950, _u15948)), _u15952))) )).
% 12.32/12.57 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15949, _u15949)), _u15951), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15949, _u15949), tc_HOL_Obool), _u15944), _u15953))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15949, _u15949)), _u15951), c_Transitive__Closure_Ortrancl(_u15949, _u15953))) )).
% 12.32/12.57 cnf(matrix-6763, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15954)), _u15955), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15954, _u15954), tc_HOL_Obool), _u15956), _u15957))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15954)), _u15955), c_Transitive__Closure_Ortrancl(_u15954, _u15957))) )).
% 12.32/12.57 cnf(matrix-6764, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15958, _u15958), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15959) = c_Relation_OId(_u15958)) )).
% 12.32/12.57 cnf(matrix-6765, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15960, _u15960), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u15961) = _u15961) )).
% 12.32/12.57 cnf(matrix-6766, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15963), _u15964)), _u15965) = hAPP(hAPP(c_Relation_Orel__comp(_u15962, _u15962, _u15962), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), _u15963), _u15965)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15962, _u15962), tc_HOL_Obool), _u15964), _u15965))) )).
% 12.32/12.57 cnf(matrix-6767, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15966, _u15966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u15967)), _u15968) = hAPP(hAPP(c_Relation_Orel__comp(_u15966, _u15966, _u15966), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15966, _u15966), tc_HOL_Obool), _u15967), _u15968)), _u15968)) )).
% 12.32/12.57 cnf(matrix-6768, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15969, _u15969, _u15969), _u15970), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15969, _u15969), tc_HOL_Obool), _u15971), _u15970)) = hAPP(hAPP(c_Relation_Orel__comp(_u15969, _u15969, _u15969), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15969, _u15969), tc_HOL_Obool), _u15971), _u15970)), _u15970)) )).
% 12.32/12.57 cnf(matrix-6769, plain, ( ( hAPP(_u15972, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u15973, _u15973), _u15974), _u15972), _u15975)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u15973, _u15973), _u15974), _u15972), hAPP(_u15972, _u15975))) )).
% 12.32/12.57 cnf(matrix-6770, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), _u15977), hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), _u15978), _u15979)) = hAPP(hAPP(c_Nat_Ocompow(_u15976, _u15976), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15978), _u15977)), _u15979)) )).
% 12.32/12.57 cnf(matrix-6771, plain, ( ~c_Wellfounded_Owf(_u15980, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15980, _u15980), tc_HOL_Obool), _u15981), _u15982)) | c_Wellfounded_Owf(_u15980, _u15982) )).
% 12.32/12.57 cnf(matrix-6772, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u15983, _u15984), tc_fun(_u15983, _u15984)), _u15985), c_Fun_Ocomp(_u15984, _u15984, _u15983, _u15986)) = c_Fun_Ocomp(_u15984, _u15984, _u15983, hAPP(hAPP(c_Nat_Ocompow(_u15984, _u15984), _u15985), _u15986))) )).
% 12.32/12.57 cnf(matrix-6773, plain, ( c_Relation_Ototal__on(_u15987, c_Orderings_Obot__class_Obot(tc_fun(_u15987, tc_HOL_Obool)), _u15988) )).
% 12.32/12.57 cnf(matrix-6774, plain, ( ~c_Relation_Ototal__on(_u15992, _u15994, hAPP(c_Relation_Oconverse(_u15992, _u15992), _u15996)) | c_Relation_Ototal__on(_u15992, _u15994, _u15996) )).
% 12.32/12.57 cnf(matrix-6775, plain, ( ~c_Relation_Ototal__on(_u15993, _u15995, _u15997) | c_Relation_Ototal__on(_u15993, _u15995, hAPP(c_Relation_Oconverse(_u15993, _u15993), _u15997)) )).
% 12.32/12.57 cnf(matrix-6776, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15998, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15998, _u15998), _u15999), _u15999)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u15998, _u15998), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16000))) )).
% 12.32/12.57 cnf(matrix-6777, plain, ( ( _u16002 = _u16003) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16001, _u16001)), hAPP(hAPP(c_Product__Type_OPair(_u16001, _u16001), _u16002), _u16003)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16001, _u16001), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16004))) )).
% 12.32/12.57 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16006), _u16007)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16005, _u16005), tc_HOL_Obool), _u16008), _u16009))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16007), _u16010)), _u16009)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16005, _u16005)), hAPP(hAPP(c_Product__Type_OPair(_u16005, _u16005), _u16006), _u16010)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16005, _u16005), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16008)), _u16009))) )).
% 12.32/12.57 cnf(matrix-6779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16012), _u16013)), _u16014)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16013), _u16015)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16011, _u16011), tc_HOL_Obool), _u16016), _u16014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16011, _u16011)), hAPP(hAPP(c_Product__Type_OPair(_u16011, _u16011), _u16012), _u16015)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16011, _u16011), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16016)), _u16014))) )).
% 12.32/12.58 cnf(matrix-6780, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16017, _u16017), hAPP(c_Nat_OSuc, _u16018)), _u16019) = hAPP(c_Fun_Ocomp(_u16017, _u16017, _u16017, _u16019), hAPP(hAPP(c_Nat_Ocompow(_u16017, _u16017), _u16018), _u16019))) )).
% 12.32/12.58 cnf(matrix-6781, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16021), _u16022)), _u16023) = hAPP(c_Fun_Ocomp(_u16020, _u16020, _u16020, hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), _u16021), _u16023)), hAPP(hAPP(c_Nat_Ocompow(_u16020, _u16020), _u16022), _u16023))) )).
% 12.32/12.58 cnf(matrix-6782, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16024, _u16024), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16025) = c_Fun_Oid(_u16024)) )).
% 12.32/12.58 cnf(matrix-6783, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), c_Transitive__Closure_Otrancl(_u16031, _u16035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem381(_u16035, _u16033, _u16031))) )).
% 12.32/12.58 cnf(matrix-6784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), c_Transitive__Closure_Otrancl(_u16031, _u16035))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16031, _u16031)), _u16033), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16031, _u16031), tc_HOL_Obool), skolem381(_u16035, _u16033, _u16031)), _u16035))) )).
% 12.32/12.58 cnf(matrix-6785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16027)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16032, _u16032)), _u16034), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16032, _u16032), tc_HOL_Obool), _u16027), _u16036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16032, _u16032)), _u16034), c_Transitive__Closure_Otrancl(_u16032, _u16036))) )).
% 12.32/12.58 cnf(matrix-6786, plain, ( ~c_Relation_Ototal__on(_u16044, _u16046, _u16048) | ~hBOOL(hAPP(hAPP(c_member(_u16044), _u16038), _u16046)) | ~hBOOL(hAPP(hAPP(c_member(_u16044), _u16037), _u16046)) | ( _u16038 = _u16037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16044, _u16044)), hAPP(hAPP(c_Product__Type_OPair(_u16044, _u16044), _u16038), _u16037)), _u16048)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16044, _u16044)), hAPP(hAPP(c_Product__Type_OPair(_u16044, _u16044), _u16037), _u16038)), _u16048)) )).
% 12.32/12.58 cnf(matrix-6787, plain, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | hBOOL(hAPP(hAPP(c_member(_u16045), skolem382(_u16049, _u16047, _u16045)), _u16047)) )).
% 12.32/12.58 cnf(matrix-6788, plain, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | hBOOL(hAPP(hAPP(c_member(_u16045), skolem383(_u16049, _u16047, _u16045)), _u16047)) )).
% 12.32/12.58 cnf(matrix-6789, plain, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ( skolem382(_u16049, _u16047, _u16045) != skolem383(_u16049, _u16047, _u16045)) )).
% 12.32/12.58 cnf(matrix-6790, plain, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16045, _u16045)), hAPP(hAPP(c_Product__Type_OPair(_u16045, _u16045), skolem382(_u16049, _u16047, _u16045)), skolem383(_u16049, _u16047, _u16045))), _u16049)) )).
% 12.32/12.58 cnf(matrix-6791, plain, ( c_Relation_Ototal__on(_u16045, _u16047, _u16049) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16045, _u16045)), hAPP(hAPP(c_Product__Type_OPair(_u16045, _u16045), skolem383(_u16049, _u16047, _u16045)), skolem382(_u16049, _u16047, _u16045))), _u16049)) )).
% 12.32/12.58 cnf(matrix-6792, plain, ( ( c_Transitive__Closure_Ortrancl(_u16050, _u16051) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16050, _u16050), 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(_u16050, _u16050), tc_HOL_Obool), tc_fun(tc_prod(_u16050, _u16050), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16050, _u16050), tc_HOL_Obool)), _u16051))) )).
% 12.32/12.58 cnf(matrix-6793, plain, ( ( c_Nat_Ofunpow(_u16052) = c_Nat_Ocompow(_u16052, _u16052)) )).
% 12.32/12.58 cnf(matrix-6794, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16058 = hAPP(c_Nat_OSuc, skolem385(_u16059, _u16058, _u16057, _u16056, _u16055))) )).
% 12.32/12.58 cnf(matrix-6795, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), skolem385(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16059))) )).
% 12.32/12.58 cnf(matrix-6796, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16058 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16057)), _u16059)) )).
% 12.32/12.58 cnf(matrix-6797, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | ( _u16058 = hAPP(c_Nat_OSuc, skolem385(_u16059, _u16058, _u16057, _u16056, _u16055))) )).
% 12.32/12.58 cnf(matrix-6798, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), skolem385(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16059))) )).
% 12.32/12.58 cnf(matrix-6799, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), _u16056), _u16057)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16055, _u16055), tc_HOL_Obool), _u16058), _u16059))) | ( _u16056 = _u16057) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16055, _u16055)), hAPP(hAPP(c_Product__Type_OPair(_u16055, _u16055), skolem384(_u16059, _u16058, _u16057, _u16056, _u16055)), _u16057)), _u16059)) )).
% 12.32/12.58 cnf(matrix-6800, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16065 = hAPP(c_Nat_OSuc, skolem387(_u16066, _u16065, _u16064, _u16063, _u16062))) )).
% 12.32/12.58 cnf(matrix-6801, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062))), _u16066)) )).
% 12.32/12.58 cnf(matrix-6802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16065 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), skolem387(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16066))) )).
% 12.32/12.58 cnf(matrix-6803, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | ( _u16065 = hAPP(c_Nat_OSuc, skolem387(_u16066, _u16065, _u16064, _u16063, _u16062))) )).
% 12.32/12.58 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062))), _u16066)) )).
% 12.32/12.58 cnf(matrix-6805, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), _u16063), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), _u16065), _u16066))) | ( _u16063 = _u16064) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16062, _u16062)), hAPP(hAPP(c_Product__Type_OPair(_u16062, _u16062), skolem386(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16064)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16062, _u16062), tc_HOL_Obool), skolem387(_u16066, _u16065, _u16064, _u16063, _u16062)), _u16066))) )).
% 12.32/12.58 cnf(matrix-6806, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16068, _u16068)), hAPP(hAPP(c_Product__Type_OPair(_u16068, _u16068), skolem388(_u16069, _u16068)), skolem388(_u16069, _u16068))), c_Transitive__Closure_Otrancl(_u16068, _u16069))) | c_Wellfounded_Oacyclic(_u16068, _u16069) )).
% 12.32/12.58 cnf(matrix-6807, plain, ( ~c_Relation_Osingle__valued(_u16070, _u16071, hAPP(c_Relation_Oconverse(_u16071, _u16070), _u16072)) | ( hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16071, tc_HOL_Obool)), _u16073), _u16074)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16070, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), _u16073)), hAPP(c_Relation_OImage(_u16071, _u16070, _u16072), _u16074))) )).
% 12.32/12.58 cnf(matrix-6808, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), skolem389(_u16081, _u16080, _u16079, _u16078, _u16077)), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) )).
% 12.32/12.58 cnf(matrix-6809, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), skolem390(_u16081, _u16080, _u16079, _u16078, _u16077)), skolem389(_u16081, _u16080, _u16079, _u16078, _u16077))), _u16081)) )).
% 12.32/12.58 cnf(matrix-6810, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16077, _u16077), tc_HOL_Obool)), _u16080), _u16081)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16077, _u16077)), hAPP(hAPP(c_Product__Type_OPair(_u16077, _u16077), _u16078), _u16079)), c_Transitive__Closure_Ortrancl(_u16077, _u16080))) | ( skolem390(_u16081, _u16080, _u16079, _u16078, _u16077) != skolem389(_u16081, _u16080, _u16079, _u16078, _u16077)) )).
% 12.32/12.58 cnf(matrix-6811, plain, ( c_Relation_Osingle__valued(_u16082, _u16082, c_Relation_OId__on(_u16082, _u16083)) )).
% 12.32/12.58 cnf(matrix-6812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16084, _u16085), tc_HOL_Obool)), _u16086), _u16087)) | ~c_Relation_Osingle__valued(_u16084, _u16085, _u16087) | c_Relation_Osingle__valued(_u16084, _u16085, _u16086) )).
% 12.32/12.58 cnf(matrix-6813, plain, ( ~c_Relation_Osingle__valued(_u16088, _u16089, _u16090) | ~c_Relation_Osingle__valued(_u16089, _u16091, _u16092) | c_Relation_Osingle__valued(_u16088, _u16091, hAPP(hAPP(c_Relation_Orel__comp(_u16088, _u16089, _u16091), _u16090), _u16092)) )).
% 12.32/12.58 cnf(matrix-6814, plain, ( c_Relation_Osingle__valued(_u16093, _u16093, c_Relation_OId(_u16093)) )).
% 12.32/12.58 cnf(matrix-6815, plain, ( ~c_Relation_Osingle__valued(_u16094, _u16094, _u16095) | c_Relation_Osingle__valued(_u16094, _u16094, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16094, _u16094), tc_HOL_Obool), _u16096), _u16095)) )).
% 12.32/12.58 cnf(matrix-6816, plain, ( ~c_Relation_Osingle__valued(_u16106, _u16108, _u16110) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16099), _u16098)), _u16110)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16099), _u16097)), _u16110)) | ( _u16098 = _u16097) )).
% 12.32/12.58 cnf(matrix-6817, plain, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), skolem391(_u16111, _u16109, _u16107)), skolem392(_u16111, _u16109, _u16107))), _u16111)) )).
% 12.32/12.58 cnf(matrix-6818, plain, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), skolem391(_u16111, _u16109, _u16107)), skolem393(_u16111, _u16109, _u16107))), _u16111)) )).
% 12.32/12.58 cnf(matrix-6819, plain, ( c_Relation_Osingle__valued(_u16107, _u16109, _u16111) | ( skolem392(_u16111, _u16109, _u16107) != skolem393(_u16111, _u16109, _u16107)) )).
% 12.32/12.58 cnf(matrix-6820, plain, ( ~c_Relation_Osingle__valued(_u16112, _u16113, _u16114) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16112, _u16113)), hAPP(hAPP(c_Product__Type_OPair(_u16112, _u16113), _u16115), _u16116)), _u16114)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16112, _u16113)), hAPP(hAPP(c_Product__Type_OPair(_u16112, _u16113), _u16115), _u16117)), _u16114)) | ( _u16116 = _u16117) )).
% 12.32/12.58 cnf(matrix-6821, plain, ( ~c_Relation_Osingle__valued(_u16118, _u16118, _u16119) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16120), _u16121)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16120), _u16122)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16121), _u16122)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16118, _u16118)), hAPP(hAPP(c_Product__Type_OPair(_u16118, _u16118), _u16122), _u16121)), c_Transitive__Closure_Ortrancl(_u16118, _u16119))) )).
% 12.32/12.58 cnf(matrix-6822, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), skolem394(_u16129, _u16128, _u16127, _u16126, _u16125))), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) )).
% 12.32/12.58 cnf(matrix-6823, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), skolem394(_u16129, _u16128, _u16127, _u16126, _u16125)), skolem395(_u16129, _u16128, _u16127, _u16126, _u16125))), _u16129)) )).
% 12.32/12.58 cnf(matrix-6824, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16125, _u16125), tc_HOL_Obool)), _u16128), _u16129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16125, _u16125)), hAPP(hAPP(c_Product__Type_OPair(_u16125, _u16125), _u16126), _u16127)), c_Transitive__Closure_Ortrancl(_u16125, _u16128))) | ( skolem394(_u16129, _u16128, _u16127, _u16126, _u16125) != skolem395(_u16129, _u16128, _u16127, _u16126, _u16125)) )).
% 12.32/12.58 cnf(matrix-6825, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), _u16133)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16134)), _u16135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), skolem396(_u16135, _u16134, _u16133, _u16132, _u16131))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), _u16134), _u16135))) )).
% 12.32/12.58 cnf(matrix-6826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), _u16132), _u16133)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16131, _u16131), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16134)), _u16135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16131, _u16131)), hAPP(hAPP(c_Product__Type_OPair(_u16131, _u16131), skolem396(_u16135, _u16134, _u16133, _u16132, _u16131)), _u16133)), _u16135)) )).
% 12.32/12.58 cnf(matrix-6827, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16140)), _u16141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), skolem397(_u16141, _u16140, _u16139, _u16138, _u16137))), _u16141)) )).
% 12.32/12.58 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), _u16138), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16140)), _u16141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16137, _u16137)), hAPP(hAPP(c_Product__Type_OPair(_u16137, _u16137), skolem397(_u16141, _u16140, _u16139, _u16138, _u16137)), _u16139)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16137, _u16137), tc_HOL_Obool), _u16140), _u16141))) )).
% 12.32/12.58 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16146)), _u16147))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), skolem398(_u16147, _u16146, _u16145, _u16144, _u16143))), _u16147)) )).
% 12.32/12.58 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), _u16144), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16146)), _u16147))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16143, _u16143)), hAPP(hAPP(c_Product__Type_OPair(_u16143, _u16143), skolem398(_u16147, _u16146, _u16145, _u16144, _u16143)), _u16145)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16143, _u16143), tc_HOL_Obool), _u16146), _u16147))) )).
% 12.32/12.58 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), _u16151)), c_Transitive__Closure_Otrancl(_u16149, _u16152))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), skolem399(_u16152, _u16151, _u16150, _u16149))), c_Transitive__Closure_Ortrancl(_u16149, _u16152))) )).
% 12.32/12.58 cnf(matrix-6832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), _u16150), _u16151)), c_Transitive__Closure_Otrancl(_u16149, _u16152))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16149, _u16149)), hAPP(hAPP(c_Product__Type_OPair(_u16149, _u16149), skolem399(_u16152, _u16151, _u16150, _u16149)), _u16151)), _u16152)) )).
% 12.32/12.58 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), _u16156)), c_Transitive__Closure_Otrancl(_u16154, _u16157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), skolem400(_u16157, _u16156, _u16155, _u16154))), _u16157)) )).
% 12.32/12.58 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), _u16155), _u16156)), c_Transitive__Closure_Otrancl(_u16154, _u16157))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16154, _u16154)), hAPP(hAPP(c_Product__Type_OPair(_u16154, _u16154), skolem400(_u16157, _u16156, _u16155, _u16154)), _u16156)), c_Transitive__Closure_Ortrancl(_u16154, _u16157))) )).
% 12.32/12.58 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16159, _u16159)), _u16160), c_Relation_OId(_u16159))) | ( _u16160 = hAPP(hAPP(c_Product__Type_OPair(_u16159, _u16159), skolem401(_u16160, _u16159)), skolem401(_u16160, _u16159))) )).
% 12.32/12.58 cnf(matrix-6836, plain, ( ~class_Orderings_Olinorder(_u16161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16161), _u16162)) | hBOOL(hAPP(hAPP(c_member(_u16161), _u16163), _u16162)) | ( c_Big__Operators_Olattice_OSup__fin(_u16161, c_Orderings_Oord__class_Omax(_u16161), hAPP(hAPP(c_Set_Oinsert(_u16161), _u16163), _u16162)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16161, _u16161, c_Orderings_Oord__class_Omax(_u16161)), _u16163), _u16162)) )).
% 12.32/12.58 cnf(matrix-6837, plain, ( ~c_Finite__Set_Ofolding(_u16164, _u16165, _u16166, _u16167) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16164), _u16168)) | ( hAPP(hAPP(_u16167, _u16168), _u16169) = hAPP(hAPP(c_Finite__Set_Ofold(_u16164, _u16165, _u16166), _u16169), _u16168)) )).
% 12.32/12.58 cnf(matrix-6838, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u16170, _u16171, _u16172), _u16173) = c_Finite__Set_Ofold(_u16171, _u16170, hAPP(hAPP(c_COMBB(_u16170, tc_fun(_u16170, _u16170), _u16171), _u16172), _u16173))) )).
% 12.32/12.58 cnf(matrix-6839, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16174, _u16175, _u16176), _u16177), c_Orderings_Obot__class_Obot(tc_fun(_u16174, tc_HOL_Obool))) = _u16177) )).
% 12.32/12.58 cnf(matrix-6840, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16178, _u16179, _u16180), _u16181), _u16182) = c_HOL_OThe(_u16179, c_Finite__Set_Ofold__graph(_u16178, _u16179, _u16180, _u16181, _u16182))) )).
% 12.32/12.58 cnf(matrix-6841, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16183), _u16184)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16183, tc_HOL_Obool)), _u16184), _u16185) = hAPP(hAPP(c_Finite__Set_Ofold(_u16183, tc_fun(_u16183, tc_HOL_Obool), c_Set_Oinsert(_u16183)), _u16185), _u16184)) )).
% 12.32/12.58 cnf(matrix-6842, plain, ( ~class_Lattices_Osemilattice__sup(_u16186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16186), _u16187)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16186, _u16186, c_Lattices_Osemilattice__sup__class_Osup(_u16186)), _u16188), hAPP(hAPP(c_Set_Oinsert(_u16186), _u16189), _u16187)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16186), _u16189), hAPP(hAPP(c_Finite__Set_Ofold(_u16186, _u16186, c_Lattices_Osemilattice__sup__class_Osup(_u16186)), _u16188), _u16187))) )).
% 12.32/12.58 cnf(matrix-6843, plain, ( ~class_Lattices_Osemilattice__inf(_u16190) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16190), _u16191)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16190, _u16190, c_Lattices_Osemilattice__inf__class_Oinf(_u16190)), _u16192), hAPP(hAPP(c_Set_Oinsert(_u16190), _u16193), _u16191)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16190), _u16193), hAPP(hAPP(c_Finite__Set_Ofold(_u16190, _u16190, c_Lattices_Osemilattice__inf__class_Oinf(_u16190)), _u16192), _u16191))) )).
% 12.32/12.58 cnf(matrix-6844, plain, ( ~class_Orderings_Olinorder(_u16194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16194), _u16195)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16194, _u16194, c_Orderings_Oord__class_Omin(_u16194)), _u16196), hAPP(hAPP(c_Set_Oinsert(_u16194), _u16197), _u16195)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16194), _u16197), hAPP(hAPP(c_Finite__Set_Ofold(_u16194, _u16194, c_Orderings_Oord__class_Omin(_u16194)), _u16196), _u16195))) )).
% 12.32/12.58 cnf(matrix-6845, plain, ( ~class_Orderings_Olinorder(_u16198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16198), _u16199)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16198, _u16198, c_Orderings_Oord__class_Omax(_u16198)), _u16200), hAPP(hAPP(c_Set_Oinsert(_u16198), _u16201), _u16199)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16198), _u16201), hAPP(hAPP(c_Finite__Set_Ofold(_u16198, _u16198, c_Orderings_Oord__class_Omax(_u16198)), _u16200), _u16199))) )).
% 12.32/12.58 cnf(matrix-6846, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16202, _u16203, _u16204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16202), _u16205)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16202, _u16203, _u16204), _u16206), hAPP(hAPP(c_Set_Oinsert(_u16202), _u16207), _u16205)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16202, _u16203, _u16204), hAPP(hAPP(_u16204, _u16207), _u16206)), _u16205)) )).
% 12.32/12.58 cnf(matrix-6847, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16208, _u16209, _u16210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16208), _u16211)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16208, _u16209, _u16210), _u16212), hAPP(hAPP(c_Set_Oinsert(_u16208), _u16213), _u16211)) = hAPP(hAPP(_u16210, _u16213), hAPP(hAPP(c_Finite__Set_Ofold(_u16208, _u16209, _u16210), _u16212), _u16211))) )).
% 12.32/12.58 cnf(matrix-6848, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16215), _u16216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16214), _u16217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16215, _u16214), _u16216), _u16218)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16215, _u16214, hAPP(hAPP(c_COMBB(_u16214, tc_fun(_u16214, _u16214), _u16215), c_Lattices_Osemilattice__sup__class_Osup(_u16214)), _u16218)), _u16217), _u16216)) )).
% 12.32/12.58 cnf(matrix-6849, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u16219, _u16220, _u16221) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16219), _u16222)) | ( hAPP(_u16221, hAPP(hAPP(c_Set_Oinsert(_u16219), _u16223), _u16222)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16219, _u16219, _u16220), _u16223), _u16222)) )).
% 12.32/12.58 cnf(matrix-6850, plain, ( ~class_Lattices_Osemilattice__sup(_u16224) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16224), _u16225)) | ~hBOOL(hAPP(hAPP(c_member(_u16224), _u16226), _u16225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16224), _u16226), _u16227)), hAPP(hAPP(c_Finite__Set_Ofold(_u16224, _u16224, c_Lattices_Osemilattice__sup__class_Osup(_u16224)), _u16227), _u16225))) )).
% 12.32/12.58 cnf(matrix-6851, plain, ( ~class_Lattices_Osemilattice__inf(_u16228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16228), _u16229)) | ~hBOOL(hAPP(hAPP(c_member(_u16228), _u16230), _u16229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16228), hAPP(hAPP(c_Finite__Set_Ofold(_u16228, _u16228, c_Lattices_Osemilattice__inf__class_Oinf(_u16228)), _u16231), _u16229)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16228), _u16230), _u16231))) )).
% 12.32/12.58 cnf(matrix-6852, plain, ( ~class_Orderings_Olinorder(_u16232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16232), _u16233)) | ~hBOOL(hAPP(hAPP(c_member(_u16232), _u16234), _u16233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16232), hAPP(hAPP(c_Finite__Set_Ofold(_u16232, _u16232, c_Orderings_Oord__class_Omin(_u16232)), _u16235), _u16233)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16232), _u16234), _u16235))) )).
% 12.32/12.58 cnf(matrix-6853, plain, ( ~class_Orderings_Olinorder(_u16236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16236), _u16237)) | ~hBOOL(hAPP(hAPP(c_member(_u16236), _u16238), _u16237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16236), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16236), _u16238), _u16239)), hAPP(hAPP(c_Finite__Set_Ofold(_u16236, _u16236, c_Orderings_Oord__class_Omax(_u16236)), _u16239), _u16237))) )).
% 12.32/12.58 cnf(matrix-6854, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16240) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16240), _u16241)) | ( hAPP(c_Finite__Set_Ofold1(_u16240, c_Groups_Otimes__class_Otimes(_u16240)), hAPP(hAPP(c_Set_Oinsert(_u16240), _u16242), _u16241)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16240, _u16240, c_Groups_Otimes__class_Otimes(_u16240)), _u16242), _u16241)) )).
% 12.32/12.58 cnf(matrix-6855, plain, ( ~class_Lattices_Olattice(_u16243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16243), _u16244)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16243, hAPP(hAPP(c_Set_Oinsert(_u16243), _u16245), _u16244)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16243, _u16243, c_Lattices_Osemilattice__sup__class_Osup(_u16243)), _u16245), _u16244)) )).
% 12.32/12.58 cnf(matrix-6856, plain, ( ~class_Lattices_Olattice(_u16246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16246), _u16247)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16246, hAPP(hAPP(c_Set_Oinsert(_u16246), _u16248), _u16247)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16246, _u16246, c_Lattices_Osemilattice__inf__class_Oinf(_u16246)), _u16248), _u16247)) )).
% 12.32/12.58 cnf(matrix-6857, plain, ( ~class_Orderings_Olinorder(_u16249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16249), _u16250)) | ( c_Big__Operators_Olinorder__class_OMin(_u16249, hAPP(hAPP(c_Set_Oinsert(_u16249), _u16251), _u16250)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16249, _u16249, c_Orderings_Oord__class_Omin(_u16249)), _u16251), _u16250)) )).
% 12.32/12.58 cnf(matrix-6858, plain, ( ~class_Orderings_Olinorder(_u16252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16252), _u16253)) | ( c_Big__Operators_Olinorder__class_OMax(_u16252, hAPP(hAPP(c_Set_Oinsert(_u16252), _u16254), _u16253)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16252, _u16252, c_Orderings_Oord__class_Omax(_u16252)), _u16254), _u16253)) )).
% 12.32/12.58 cnf(matrix-6859, plain, ( ~class_Orderings_Olinorder(_u16255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16255), _u16256)) | ( c_Big__Operators_Olattice_OInf__fin(_u16255, c_Orderings_Oord__class_Omin(_u16255), hAPP(hAPP(c_Set_Oinsert(_u16255), _u16257), _u16256)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16255, _u16255, c_Orderings_Oord__class_Omin(_u16255)), _u16257), _u16256)) )).
% 12.32/12.58 cnf(matrix-6860, plain, ( ~class_Orderings_Olinorder(_u16258) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16258), _u16259)) | ( c_Big__Operators_Olattice_OSup__fin(_u16258, c_Orderings_Oord__class_Omax(_u16258), hAPP(hAPP(c_Set_Oinsert(_u16258), _u16260), _u16259)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16258, _u16258, c_Orderings_Oord__class_Omax(_u16258)), _u16260), _u16259)) )).
% 12.32/12.58 cnf(matrix-6861, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16261), _u16262)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16261, tc_HOL_Obool)), _u16263), _u16262) = hAPP(hAPP(c_Finite__Set_Ofold(_u16261, tc_fun(_u16261, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16261, tc_HOL_Obool), tc_fun(tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), _u16261), hAPP(c_COMBC(tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u16261, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u16261, tc_fun(_u16261, tc_HOL_Obool), tc_fun(_u16261, tc_HOL_Obool)), c_Set_Oinsert(_u16261)), c_Orderings_Obot__class_Obot(tc_fun(_u16261, tc_HOL_Obool))))), _u16263), _u16262)) )).
% 12.32/12.58 cnf(matrix-6862, plain, ( ~c_Finite__Set_Ofolding__one(_u16264, _u16265, _u16266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16264), _u16267)) | hBOOL(hAPP(hAPP(c_member(_u16264), _u16268), _u16267)) | ( hAPP(_u16266, hAPP(hAPP(c_Set_Oinsert(_u16264), _u16268), _u16267)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16264, _u16264, _u16265), _u16268), _u16267)) )).
% 12.32/12.58 cnf(matrix-6863, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16269) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16270), _u16271)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16270, _u16269), _u16271), _u16272) = hAPP(hAPP(c_Finite__Set_Ofold(_u16270, _u16269, hAPP(hAPP(c_COMBB(_u16269, tc_fun(_u16269, _u16269), _u16270), c_Lattices_Osemilattice__sup__class_Osup(_u16269)), _u16272)), c_Orderings_Obot__class_Obot(_u16269)), _u16271)) )).
% 12.32/12.58 cnf(matrix-6864, plain, ( ~class_Groups_Oab__semigroup__mult(_u16273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16273), _u16274)) | hBOOL(hAPP(hAPP(c_member(_u16273), _u16275), _u16274)) | ( hAPP(c_Finite__Set_Ofold1(_u16273, c_Groups_Otimes__class_Otimes(_u16273)), hAPP(hAPP(c_Set_Oinsert(_u16273), _u16275), _u16274)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16273, _u16273, c_Groups_Otimes__class_Otimes(_u16273)), _u16275), _u16274)) )).
% 12.32/12.58 cnf(matrix-6865, plain, ( ~class_Lattices_Olattice(_u16276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16276), _u16277)) | hBOOL(hAPP(hAPP(c_member(_u16276), _u16278), _u16277)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16276, hAPP(hAPP(c_Set_Oinsert(_u16276), _u16278), _u16277)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16276, _u16276, c_Lattices_Osemilattice__sup__class_Osup(_u16276)), _u16278), _u16277)) )).
% 12.32/12.58 cnf(matrix-6866, plain, ( ~class_Lattices_Olattice(_u16279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16279), _u16280)) | hBOOL(hAPP(hAPP(c_member(_u16279), _u16281), _u16280)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16279, hAPP(hAPP(c_Set_Oinsert(_u16279), _u16281), _u16280)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16279, _u16279, c_Lattices_Osemilattice__inf__class_Oinf(_u16279)), _u16281), _u16280)) )).
% 12.32/12.58 cnf(matrix-6867, plain, ( ~class_Orderings_Olinorder(_u16282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16282), _u16283)) | hBOOL(hAPP(hAPP(c_member(_u16282), _u16284), _u16283)) | ( c_Big__Operators_Olinorder__class_OMin(_u16282, hAPP(hAPP(c_Set_Oinsert(_u16282), _u16284), _u16283)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16282, _u16282, c_Orderings_Oord__class_Omin(_u16282)), _u16284), _u16283)) )).
% 12.32/12.58 cnf(matrix-6868, plain, ( ~class_Orderings_Olinorder(_u16285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16285), _u16286)) | hBOOL(hAPP(hAPP(c_member(_u16285), _u16287), _u16286)) | ( c_Big__Operators_Olinorder__class_OMax(_u16285, hAPP(hAPP(c_Set_Oinsert(_u16285), _u16287), _u16286)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16285, _u16285, c_Orderings_Oord__class_Omax(_u16285)), _u16287), _u16286)) )).
% 12.32/12.58 cnf(matrix-6869, plain, ( ~class_Orderings_Olinorder(_u16288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16288), _u16289)) | hBOOL(hAPP(hAPP(c_member(_u16288), _u16290), _u16289)) | ( c_Big__Operators_Olattice_OInf__fin(_u16288, c_Orderings_Oord__class_Omin(_u16288), hAPP(hAPP(c_Set_Oinsert(_u16288), _u16290), _u16289)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16288, _u16288, c_Orderings_Oord__class_Omin(_u16288)), _u16290), _u16289)) )).
% 12.32/12.58 cnf(matrix-6870, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16291, _u16292, _u16293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16291), _u16294)) | ~hBOOL(hAPP(hAPP(c_member(_u16291), _u16295), _u16294)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16291, _u16292, _u16293), _u16296), _u16294) = hAPP(hAPP(_u16293, _u16295), hAPP(hAPP(c_Finite__Set_Ofold(_u16291, _u16292, _u16293), _u16296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16291, tc_HOL_Obool)), _u16294), hAPP(hAPP(c_Set_Oinsert(_u16291), _u16295), c_Orderings_Obot__class_Obot(tc_fun(_u16291, tc_HOL_Obool))))))) )).
% 12.32/12.58 cnf(matrix-6871, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16297, _u16298, _u16299) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16297), _u16300)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16298, _u16299), _u16301), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16302), _u16300)) = hAPP(hAPP(_u16299, _u16302), hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16298, _u16299), _u16301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16297, tc_HOL_Obool)), _u16300), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16302), c_Orderings_Obot__class_Obot(tc_fun(_u16297, tc_HOL_Obool))))))) )).
% 12.32/12.58 cnf(matrix-6872, plain, ( ~class_Groups_Oab__semigroup__mult(_u16303) | c_Finite__Set_Ofun__left__comm(_u16303, _u16303, c_Groups_Otimes__class_Otimes(_u16303)) )).
% 12.32/12.58 cnf(matrix-6873, plain, ( ( hAPP(hAPP(_u16306, _u16307), hAPP(hAPP(_u16306, _u16308), _u16309)) = hAPP(hAPP(_u16306, _u16308), hAPP(hAPP(_u16306, _u16307), _u16309))) | ~c_Finite__Set_Ofun__left__comm(_u16304, _u16305, _u16306) )).
% 12.32/12.58 cnf(matrix-6874, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16310, _u16311, _u16312) | c_Finite__Set_Ofun__left__comm(_u16313, _u16311, hAPP(hAPP(c_COMBB(_u16310, tc_fun(_u16311, _u16311), _u16313), _u16312), _u16314)) )).
% 12.32/12.58 cnf(matrix-6875, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16315, _u16316, _u16317) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16315, _u16316, _u16317, _u16318, _u16319), _u16320)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16315, _u16316, _u16317, _u16318, _u16319), _u16321)) | ( _u16321 = _u16320) )).
% 12.32/12.58 cnf(matrix-6876, plain, ( ( hAPP(c_Fun_Ocomp(_u16323, _u16323, _u16323, hAPP(_u16324, _u16325)), hAPP(_u16324, _u16326)) = hAPP(c_Fun_Ocomp(_u16323, _u16323, _u16323, hAPP(_u16324, _u16326)), hAPP(_u16324, _u16325))) | ~c_Finite__Set_Ofun__left__comm(_u16322, _u16323, _u16324) )).
% 12.32/12.58 cnf(matrix-6877, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16327, _u16328, _u16329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16327), _u16330)) | ( hAPP(hAPP(_u16329, _u16331), hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16328, _u16329), _u16332), _u16330)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16328, _u16329), hAPP(hAPP(_u16329, _u16331), _u16332)), _u16330)) )).
% 12.32/12.58 cnf(matrix-6878, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16333, _u16334, _u16335) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16333, _u16334, _u16335, _u16336, _u16337), _u16338)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16333, _u16334, _u16335), _u16336), _u16337) = _u16338) )).
% 12.32/12.58 cnf(matrix-6879, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16339, _u16340, _u16341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16339), _u16342)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16339, _u16340, _u16341, _u16343, _u16342), hAPP(hAPP(c_Finite__Set_Ofold(_u16339, _u16340, _u16341), _u16343), _u16342))) )).
% 12.32/12.58 cnf(matrix-6880, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16344, _u16345, _u16346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16344), _u16347)) | hBOOL(hAPP(hAPP(c_member(_u16344), _u16348), _u16347)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16344, _u16345, _u16346), _u16349), hAPP(hAPP(c_Set_Oinsert(_u16344), _u16348), _u16347)) = hAPP(hAPP(_u16346, _u16348), hAPP(hAPP(c_Finite__Set_Ofold(_u16344, _u16345, _u16346), _u16349), _u16347))) )).
% 12.32/12.58 cnf(matrix-6881, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16350, _u16351, _u16352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16350), _u16353)) | hBOOL(hAPP(hAPP(c_member(_u16350), _u16354), _u16353)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16350, _u16351, _u16352), _u16355), hAPP(hAPP(c_Set_Oinsert(_u16350), _u16354), _u16353)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16350, _u16351, _u16352), hAPP(hAPP(_u16352, _u16354), _u16355)), _u16353)) )).
% 12.32/12.58 cnf(matrix-6882, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16357, _u16358, _u16359) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, _u16361), _u16362)) | ~hBOOL(hAPP(hAPP(c_member(_u16357), _u16363), _u16361)) | ( _u16362 = hAPP(hAPP(_u16359, _u16363), skolem402(_u16363, _u16362, _u16361, _u16360, _u16359, _u16358, _u16357))) )).
% 12.32/12.58 cnf(matrix-6883, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16357, _u16358, _u16359) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, _u16361), _u16362)) | ~hBOOL(hAPP(hAPP(c_member(_u16357), _u16363), _u16361)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16357, _u16358, _u16359, _u16360, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16357, tc_HOL_Obool)), _u16361), hAPP(hAPP(c_Set_Oinsert(_u16357), _u16363), c_Orderings_Obot__class_Obot(tc_fun(_u16357, tc_HOL_Obool))))), skolem402(_u16363, _u16362, _u16361, _u16360, _u16359, _u16358, _u16357))) )).
% 12.32/12.58 cnf(matrix-6884, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16365), _u16366)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16365, _u16364), _u16366), _u16367) = hAPP(hAPP(c_Finite__Set_Ofold(_u16365, _u16364, hAPP(hAPP(c_COMBB(_u16364, tc_fun(_u16364, _u16364), _u16365), c_Lattices_Osemilattice__inf__class_Oinf(_u16364)), _u16367)), c_Orderings_Otop__class_Otop(_u16364)), _u16366)) )).
% 12.32/12.58 cnf(matrix-6885, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16368, tc_fun(_u16369, tc_fun(_u16370, tc_HOL_Obool))), _u16371), _u16372), _u16373), _u16374)) | hBOOL(hAPP(hAPP(hAPP(_u16372, _u16375), _u16373), _u16374)) | ~hBOOL(hAPP(hAPP(c_member(_u16368), _u16375), _u16371)) )).
% 12.32/12.58 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16376, tc_fun(_u16377, tc_fun(_u16378, tc_HOL_Obool))), _u16379), _u16380), _u16381), _u16382)) | ~hBOOL(hAPP(hAPP(c_member(_u16376), _u16383), _u16379)) | hBOOL(hAPP(hAPP(hAPP(_u16380, _u16383), _u16381), _u16382)) )).
% 12.32/12.58 cnf(matrix-6887, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16384, tc_fun(_u16385, tc_HOL_Obool)), _u16386), _u16387), _u16388)) | ~hBOOL(hAPP(hAPP(c_member(_u16384), _u16389), _u16386)) | hBOOL(hAPP(hAPP(_u16387, _u16389), _u16388)) )).
% 12.32/12.58 cnf(matrix-6888, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16390, tc_fun(_u16391, tc_HOL_Obool)), _u16392), _u16393), _u16394)) | hBOOL(hAPP(hAPP(_u16393, _u16395), _u16394)) | ~hBOOL(hAPP(hAPP(c_member(_u16390), _u16395), _u16392)) )).
% 12.32/12.58 cnf(matrix-6889, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16396), _u16397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16398, tc_fun(_u16396, tc_HOL_Obool)), _u16399), _u16400))) | ~hBOOL(hAPP(hAPP(c_member(_u16398), _u16401), _u16399)) | hBOOL(hAPP(hAPP(c_member(_u16396), _u16397), hAPP(_u16400, _u16401))) )).
% 12.32/12.58 cnf(matrix-6890, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16402), _u16403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16404, tc_fun(_u16402, tc_HOL_Obool)), _u16405), _u16406))) | hBOOL(hAPP(hAPP(c_member(_u16402), _u16403), hAPP(_u16406, _u16407))) | ~hBOOL(hAPP(hAPP(c_member(_u16404), _u16407), _u16405)) )).
% 12.32/12.58 cnf(matrix-6891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16409), _u16408), _u16410)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16411), hAPP(_u16412, _u16408))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16411), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16409, tc_fun(_u16411, tc_HOL_Obool)), _u16410), _u16412))) )).
% 12.32/12.58 cnf(matrix-6892, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16413, tc_HOL_Obool)), _u16414), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16415, tc_fun(_u16413, tc_HOL_Obool)), _u16416), _u16417)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16415, tc_fun(_u16413, tc_HOL_Obool)), _u16416), hAPP(hAPP(c_COMBB(tc_fun(_u16413, tc_HOL_Obool), tc_fun(_u16413, tc_HOL_Obool), _u16415), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16413, tc_HOL_Obool)), _u16414)), _u16417))) )).
% 12.32/12.58 cnf(matrix-6893, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16418, tc_fun(_u16419, tc_HOL_Obool)), _u16420), hAPP(hAPP(c_COMBB(tc_fun(_u16419, tc_HOL_Obool), tc_fun(_u16419, tc_HOL_Obool), _u16418), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16419, tc_HOL_Obool)), _u16421)), _u16422)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16419, tc_HOL_Obool)), _u16421), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16418, tc_fun(_u16419, tc_HOL_Obool)), _u16420), _u16422))) )).
% 12.32/12.58 cnf(matrix-6894, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16423, tc_fun(_u16424, tc_HOL_Obool)), _u16425), hAPP(hAPP(c_COMBC(_u16423, tc_fun(_u16426, tc_fun(_u16424, tc_HOL_Obool)), tc_fun(_u16424, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16426, tc_HOL_Obool), tc_fun(tc_fun(_u16426, tc_fun(_u16424, tc_HOL_Obool)), tc_fun(_u16424, tc_HOL_Obool)), _u16423), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16426, tc_fun(_u16424, tc_HOL_Obool))), _u16427)), _u16428)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16426, tc_fun(_u16424, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16423, tc_fun(_u16426, tc_HOL_Obool)), _u16425), _u16427)), _u16428)) )).
% 12.32/12.58 cnf(matrix-6895, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16429, tc_fun(_u16430, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16431, tc_fun(_u16429, tc_HOL_Obool)), _u16432), _u16433)), _u16434) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16431, tc_fun(_u16430, tc_HOL_Obool)), _u16432), hAPP(hAPP(c_COMBC(_u16431, tc_fun(_u16429, tc_fun(_u16430, tc_HOL_Obool)), tc_fun(_u16430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16429, tc_HOL_Obool), tc_fun(tc_fun(_u16429, tc_fun(_u16430, tc_HOL_Obool)), tc_fun(_u16430, tc_HOL_Obool)), _u16431), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16429, tc_fun(_u16430, tc_HOL_Obool))), _u16433)), _u16434))) )).
% 12.32/12.58 cnf(matrix-6896, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16435, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16436, tc_fun(_u16435, tc_HOL_Obool)), _u16437), _u16438)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16436, tc_fun(_u16435, tc_HOL_Obool)), _u16437), hAPP(hAPP(c_COMBB(tc_fun(_u16435, tc_HOL_Obool), tc_fun(_u16435, tc_HOL_Obool), _u16436), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16435, tc_HOL_Obool))), _u16438))) )).
% 12.32/12.58 cnf(matrix-6897, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16439, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16440, tc_fun(_u16439, tc_HOL_Obool)), _u16441), _u16442)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16440, tc_fun(_u16439, tc_HOL_Obool)), _u16441), hAPP(hAPP(c_COMBB(tc_fun(_u16439, tc_HOL_Obool), tc_fun(_u16439, tc_HOL_Obool), _u16440), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16439, tc_HOL_Obool))), _u16442))) )).
% 12.32/12.58 cnf(matrix-6898, plain, ( ( hAPP(c_Set_OCollect(_u16443), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_HOL_Obool, _u16443), c_HOL_OAll(_u16444)), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_fun(_u16444, tc_HOL_Obool), _u16443), hAPP(c_COMBS(_u16444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16444), c_fimplies), hAPP(hAPP(c_COMBC(_u16444, tc_fun(_u16444, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16444)), _u16445)))), _u16446))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16444, tc_fun(_u16443, tc_HOL_Obool)), _u16445), hAPP(hAPP(c_COMBB(tc_fun(_u16443, tc_HOL_Obool), tc_fun(_u16443, tc_HOL_Obool), _u16444), c_Set_OCollect(_u16443)), hAPP(c_COMBC(_u16443, _u16444, tc_HOL_Obool), _u16446)))) )).
% 12.32/12.58 cnf(matrix-6899, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) | hBOOL(hAPP(hAPP(c_member(_u16450), skolem403(_u16453, _u16452, _u16451, _u16450, _u16449)), _u16451)) )).
% 12.32/12.58 cnf(matrix-6900, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(_u16452, skolem403(_u16453, _u16452, _u16451, _u16450, _u16449))), _u16453)) )).
% 12.32/12.58 cnf(matrix-6901, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16449) | ~class_Orderings_Olinorder(_u16449) | ~hBOOL(hAPP(hAPP(c_member(_u16450), _u16448), _u16451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(_u16452, _u16448)), _u16453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16450, _u16449), _u16451), _u16452)), _u16453)) )).
% 12.32/12.58 cnf(matrix-6902, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16460, tc_fun(_u16462, tc_fun(_u16464, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16460, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16462, tc_fun(_u16464, tc_HOL_Obool)), _u16460), hAPP(c_COMBC(_u16462, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16464, tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_fun(_u16464, tc_HOL_Obool)), _u16462), c_COMBC(_u16464, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16464, tc_prod(_u16462, _u16464)), tc_fun(_u16464, tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool)), _u16462), hAPP(c_COMBB(tc_prod(_u16462, _u16464), tc_fun(tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool), tc_HOL_Obool), _u16464), c_member(tc_prod(_u16462, _u16464)))), c_Product__Type_OPair(_u16462, _u16464))))), _u16466)), _u16468), _u16470)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16462, _u16464)), hAPP(hAPP(c_Product__Type_OPair(_u16462, _u16464), _u16468), _u16470)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16460, tc_fun(tc_prod(_u16462, _u16464), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16460, tc_HOL_Obool))), _u16466))) )).
% 12.32/12.58 cnf(matrix-6903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16463, _u16465)), hAPP(hAPP(c_Product__Type_OPair(_u16463, _u16465), _u16469), _u16471)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16461, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16461, tc_HOL_Obool))), _u16467))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16461, tc_fun(_u16463, tc_fun(_u16465, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16461, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16463, tc_fun(_u16465, tc_HOL_Obool)), _u16461), hAPP(c_COMBC(_u16463, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16465, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16465, tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_fun(_u16465, tc_HOL_Obool)), _u16463), c_COMBC(_u16465, tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16465, tc_prod(_u16463, _u16465)), tc_fun(_u16465, tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool)), _u16463), hAPP(c_COMBB(tc_prod(_u16463, _u16465), tc_fun(tc_fun(tc_prod(_u16463, _u16465), tc_HOL_Obool), tc_HOL_Obool), _u16465), c_member(tc_prod(_u16463, _u16465)))), c_Product__Type_OPair(_u16463, _u16465))))), _u16467)), _u16469), _u16471)) )).
% 12.32/12.58 cnf(matrix-6904, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16479), _u16481), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16483, tc_fun(_u16479, tc_HOL_Obool)), _u16485), _u16487))) | ~hBOOL(hAPP(hAPP(c_member(_u16483), _u16472), _u16485)) | hBOOL(hAPP(hAPP(c_member(_u16479), _u16481), hAPP(_u16487, _u16472))) )).
% 12.32/12.58 cnf(matrix-6905, plain, ( hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16484, tc_fun(_u16480, tc_HOL_Obool)), _u16486), _u16488))) | hBOOL(hAPP(hAPP(c_member(_u16484), skolem404(_u16488, _u16486, _u16484, _u16482, _u16480)), _u16486)) )).
% 12.32/12.58 cnf(matrix-6906, plain, ( hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16484, tc_fun(_u16480, tc_HOL_Obool)), _u16486), _u16488))) | ~hBOOL(hAPP(hAPP(c_member(_u16480), _u16482), hAPP(_u16488, skolem404(_u16488, _u16486, _u16484, _u16482, _u16480)))) )).
% 12.32/12.58 cnf(matrix-6907, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16489, tc_HOL_Obool) = c_Set_OBall(_u16489)) )).
% 12.32/12.58 cnf(matrix-6908, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16490) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), _u16492), hAPP(hAPP(c_COMBB(tc_fun(_u16493, _u16490), _u16490, _u16491), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16493, _u16490), _u16494)), _u16495)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16493, _u16490), _u16494), hAPP(hAPP(c_COMBB(tc_fun(_u16491, _u16490), _u16490, _u16493), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), _u16492)), hAPP(c_COMBC(_u16491, _u16493, _u16490), _u16495)))) )).
% 12.32/12.58 cnf(matrix-6909, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16496) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16497, tc_fun(_u16498, _u16496)), _u16499), _u16500), _u16501) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16497, _u16496), _u16499), hAPP(hAPP(c_COMBC(_u16497, _u16498, _u16496), _u16500), _u16501))) )).
% 12.32/12.58 cnf(matrix-6910, plain, ( ( hAPP(c_Set_OPow(_u16502), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(_u16502, tc_HOL_Obool)), _u16504), _u16505)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(tc_fun(_u16502, tc_HOL_Obool), tc_HOL_Obool)), _u16504), hAPP(hAPP(c_COMBB(tc_fun(_u16502, tc_HOL_Obool), tc_fun(tc_fun(_u16502, tc_HOL_Obool), tc_HOL_Obool), _u16503), c_Set_OPow(_u16502)), _u16505))) )).
% 12.32/12.58 cnf(matrix-6911, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16512, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16514, tc_fun(_u16512, tc_HOL_Obool)), _u16516), _u16518)) | ~hBOOL(hAPP(hAPP(c_member(_u16514), _u16506), _u16516)) | ( hAPP(_u16518, _u16506) = c_Orderings_Otop__class_Otop(tc_fun(_u16512, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6912, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16515, tc_fun(_u16513, tc_HOL_Obool)), _u16517), _u16519)) | hBOOL(hAPP(hAPP(c_member(_u16515), skolem405(_u16519, _u16517, _u16515, _u16513)), _u16517)) )).
% 12.32/12.58 cnf(matrix-6913, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16515, tc_fun(_u16513, tc_HOL_Obool)), _u16517), _u16519)) | ( hAPP(_u16519, skolem405(_u16519, _u16517, _u16515, _u16513)) != c_Orderings_Otop__class_Otop(tc_fun(_u16513, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6914, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16526, tc_fun(_u16528, tc_HOL_Obool)), _u16530), _u16532) != c_Orderings_Otop__class_Otop(tc_fun(_u16528, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16526), _u16520), _u16530)) | ( hAPP(_u16532, _u16520) = c_Orderings_Otop__class_Otop(tc_fun(_u16528, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6915, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16527, tc_fun(_u16529, tc_HOL_Obool)), _u16531), _u16533) = c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16527), skolem406(_u16533, _u16531, _u16529, _u16527)), _u16531)) )).
% 12.32/12.58 cnf(matrix-6916, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16527, tc_fun(_u16529, tc_HOL_Obool)), _u16531), _u16533) = c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) | ( hAPP(_u16533, skolem406(_u16533, _u16531, _u16529, _u16527)) != c_Orderings_Otop__class_Otop(tc_fun(_u16529, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6917, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), hAPP(hAPP(c_COMBS(_u16534, tc_fun(_u16535, tc_HOL_Obool), tc_fun(_u16535, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16535, tc_HOL_Obool), tc_fun(tc_fun(_u16535, tc_HOL_Obool), tc_fun(_u16535, tc_HOL_Obool)), _u16534), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16535, tc_HOL_Obool))), _u16537)), _u16538)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16535, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), _u16537)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16534, tc_fun(_u16535, tc_HOL_Obool)), _u16536), _u16538))) )).
% 12.32/12.58 cnf(matrix-6918, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16539), _u16540), _u16541)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16542, tc_HOL_Obool)), hAPP(_u16543, _u16540)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16539, tc_fun(_u16542, tc_HOL_Obool)), _u16541), _u16543)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16539, tc_fun(_u16542, tc_HOL_Obool)), _u16541), _u16543)) )).
% 12.32/12.58 cnf(matrix-6919, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16548, tc_fun(_u16550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16548, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16550, tc_HOL_Obool), tc_fun(_u16550, tc_HOL_Obool), _u16548), hAPP(c_COMBC(_u16550, tc_fun(_u16550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16550))), _u16552)), _u16554)) | hBOOL(hAPP(hAPP(c_member(_u16550), _u16554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16548, tc_fun(_u16550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16548, tc_HOL_Obool))), _u16552))) )).
% 12.32/12.58 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16551), _u16555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16549, tc_fun(_u16551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16549, tc_HOL_Obool))), _u16553))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16549, tc_fun(_u16551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16549, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16551, tc_HOL_Obool), tc_fun(_u16551, tc_HOL_Obool), _u16549), hAPP(c_COMBC(_u16551, tc_fun(_u16551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16551))), _u16553)), _u16555)) )).
% 12.32/12.58 cnf(matrix-6921, plain, ( ( hAPP(c_Set_Ovimage(_u16556, _u16557, _u16558), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16557, tc_HOL_Obool)), _u16560), _u16561)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16556, tc_HOL_Obool)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16557, tc_HOL_Obool), tc_fun(_u16556, tc_HOL_Obool), _u16559), c_Set_Ovimage(_u16556, _u16557, _u16558)), _u16561))) )).
% 12.32/12.58 cnf(matrix-6922, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16562, tc_fun(_u16563, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16564, _u16562, _u16565), _u16566)), _u16567) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16564, tc_fun(_u16563, tc_HOL_Obool)), _u16566), hAPP(hAPP(c_COMBB(_u16562, tc_fun(_u16563, tc_HOL_Obool), _u16564), _u16567), _u16565))) )).
% 12.32/12.58 cnf(matrix-6923, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16568, tc_fun(_u16569, tc_HOL_Obool)), _u16570), hAPP(hAPP(c_COMBB(_u16571, tc_fun(_u16569, tc_HOL_Obool), _u16568), _u16572), _u16573)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16571, tc_fun(_u16569, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16568, _u16571, _u16573), _u16570)), _u16572)) )).
% 12.32/12.58 cnf(matrix-6924, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16574, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16575, _u16574, _u16576), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16577, tc_fun(_u16575, tc_HOL_Obool)), _u16578), _u16579))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16577, tc_fun(_u16574, tc_HOL_Obool)), _u16578), hAPP(hAPP(c_COMBB(tc_fun(_u16575, tc_HOL_Obool), tc_fun(_u16574, tc_HOL_Obool), _u16577), c_Relation_OImage(_u16575, _u16574, _u16576)), _u16579)))) )).
% 12.32/12.58 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16580), _u16581), _u16582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16583, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16580, tc_fun(_u16583, tc_HOL_Obool)), _u16582), _u16584)), hAPP(_u16584, _u16581))) )).
% 12.32/12.58 cnf(matrix-6926, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | ~hBOOL(hAPP(hAPP(c_member(_u16589), _u16585), _u16590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(_u16591, _u16585))) )).
% 12.32/12.58 cnf(matrix-6927, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | hBOOL(hAPP(hAPP(c_member(_u16589), skolem407(_u16591, _u16590, _u16589, _u16588, _u16587)), _u16590)) )).
% 12.32/12.58 cnf(matrix-6928, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16589, _u16587), _u16590), _u16591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16587), _u16588), hAPP(_u16591, skolem407(_u16591, _u16590, _u16589, _u16588, _u16587)))) )).
% 12.32/12.58 cnf(matrix-6929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16599, tc_HOL_Obool)), _u16601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16599, tc_HOL_Obool)), _u16605), _u16607))) | ~hBOOL(hAPP(hAPP(c_member(_u16603), _u16592), _u16605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16599, tc_HOL_Obool)), _u16601), hAPP(_u16607, _u16592))) )).
% 12.32/12.58 cnf(matrix-6930, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16604, tc_fun(_u16600, tc_HOL_Obool)), _u16606), _u16608))) | hBOOL(hAPP(hAPP(c_member(_u16604), skolem408(_u16608, _u16606, _u16604, _u16602, _u16600)), _u16606)) )).
% 12.32/12.58 cnf(matrix-6931, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16604, tc_fun(_u16600, tc_HOL_Obool)), _u16606), _u16608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), _u16602), hAPP(_u16608, skolem408(_u16608, _u16606, _u16604, _u16602, _u16600)))) )).
% 12.32/12.58 cnf(matrix-6932, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u16609), _u16610), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16611, tc_fun(_u16609, tc_HOL_Obool)), _u16612), _u16613)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16611, tc_fun(_u16609, tc_HOL_Obool)), _u16612), hAPP(hAPP(c_COMBB(tc_fun(_u16609, tc_HOL_Obool), tc_fun(_u16609, tc_HOL_Obool), _u16611), hAPP(c_Set_Oinsert(_u16609), _u16610)), _u16613))) )).
% 12.32/12.58 cnf(matrix-6933, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16614, tc_fun(_u16615, tc_HOL_Obool)), _u16616), hAPP(hAPP(c_COMBB(tc_fun(_u16615, tc_HOL_Obool), tc_fun(_u16615, tc_HOL_Obool), _u16614), hAPP(c_Set_Oinsert(_u16615), _u16617)), _u16618)) = hAPP(hAPP(c_Set_Oinsert(_u16615), _u16617), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16614, tc_fun(_u16615, tc_HOL_Obool)), _u16616), _u16618))) )).
% 12.32/12.58 cnf(matrix-6934, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16619), _u16620), _u16621)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16619, tc_fun(_u16622, tc_HOL_Obool)), _u16621), hAPP(hAPP(c_COMBB(tc_fun(_u16622, tc_HOL_Obool), tc_fun(_u16622, tc_HOL_Obool), _u16619), hAPP(c_Set_Oinsert(_u16622), _u16623)), _u16624)) = hAPP(hAPP(c_Set_Oinsert(_u16622), _u16623), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16619, tc_fun(_u16622, tc_HOL_Obool)), _u16621), _u16624))) )).
% 12.32/12.58 cnf(matrix-6935, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16625, tc_fun(_u16626, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u16625), _u16627), _u16628)), _u16629) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16626, tc_HOL_Obool)), hAPP(_u16629, _u16627)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16625, tc_fun(_u16626, tc_HOL_Obool)), _u16628), _u16629))) )).
% 12.32/12.58 cnf(matrix-6936, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16630) | ( _u16631 = c_Orderings_Obot__class_Obot(tc_fun(_u16632, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16632, _u16630), _u16631), hAPP(c_COMBK(_u16630, _u16632), _u16633)) = _u16633) )).
% 12.32/12.58 cnf(matrix-6937, plain, ( ( _u16639 != c_Orderings_Obot__class_Obot(tc_fun(_u16641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16643, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16641, tc_fun(_u16643, tc_HOL_Obool)), _u16639), _u16645)), _u16647) = _u16647) )).
% 12.32/12.58 cnf(matrix-6938, plain, ( ( _u16640 = c_Orderings_Obot__class_Obot(tc_fun(_u16642, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16644, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16644, tc_HOL_Obool)), _u16640), _u16646)), _u16648) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16644, tc_HOL_Obool)), _u16640), hAPP(hAPP(c_COMBC(_u16642, tc_fun(_u16644, tc_HOL_Obool), tc_fun(_u16644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16644, tc_HOL_Obool), tc_fun(tc_fun(_u16644, tc_HOL_Obool), tc_fun(_u16644, tc_HOL_Obool)), _u16642), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16644, tc_HOL_Obool))), _u16646)), _u16648))) )).
% 12.32/12.58 cnf(matrix-6939, plain, ( ( _u16654 != c_Orderings_Obot__class_Obot(tc_fun(_u16656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16658, tc_HOL_Obool)), _u16660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16656, tc_fun(_u16658, tc_HOL_Obool)), _u16654), _u16662)) = _u16660) )).
% 12.32/12.58 cnf(matrix-6940, plain, ( ( _u16655 = c_Orderings_Obot__class_Obot(tc_fun(_u16657, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16659, tc_HOL_Obool)), _u16661), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16657, tc_fun(_u16659, tc_HOL_Obool)), _u16655), _u16663)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16657, tc_fun(_u16659, tc_HOL_Obool)), _u16655), hAPP(hAPP(c_COMBB(tc_fun(_u16659, tc_HOL_Obool), tc_fun(_u16659, tc_HOL_Obool), _u16657), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16659, tc_HOL_Obool)), _u16661)), _u16663))) )).
% 12.32/12.58 cnf(matrix-6941, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16664, tc_fun(_u16665, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u16664, tc_HOL_Obool))), _u16666) = c_Orderings_Otop__class_Otop(tc_fun(_u16665, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6942, plain, ( ( _u16671 != c_Orderings_Obot__class_Obot(tc_fun(_u16673, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16673, tc_fun(_u16675, tc_HOL_Obool)), _u16671), hAPP(c_COMBK(tc_fun(_u16675, tc_HOL_Obool), _u16673), _u16677)) = c_Orderings_Otop__class_Otop(tc_fun(_u16675, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6943, plain, ( ( _u16672 = c_Orderings_Obot__class_Obot(tc_fun(_u16674, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(_u16676, tc_HOL_Obool)), _u16672), hAPP(c_COMBK(tc_fun(_u16676, tc_HOL_Obool), _u16674), _u16678)) = _u16678) )).
% 12.32/12.58 cnf(matrix-6944, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16679, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, tc_fun(_u16679, tc_HOL_Obool)), _u16681), _u16682)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16683, tc_fun(_u16679, tc_HOL_Obool)), _u16684), _u16685)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, tc_fun(_u16679, tc_HOL_Obool)), _u16681), hAPP(hAPP(c_COMBB(tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16679, tc_HOL_Obool), _u16680), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16683, tc_fun(_u16679, tc_HOL_Obool)), _u16684)), hAPP(hAPP(c_COMBC(_u16680, tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool)), tc_fun(tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool)), tc_fun(_u16683, tc_fun(_u16679, tc_HOL_Obool))), _u16680), c_COMBB(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool), _u16683)), hAPP(hAPP(c_COMBB(tc_fun(_u16679, tc_HOL_Obool), tc_fun(tc_fun(_u16679, tc_HOL_Obool), tc_fun(_u16679, tc_HOL_Obool)), _u16680), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16679, tc_HOL_Obool))), _u16682))), _u16685)))) )).
% 12.32/12.58 cnf(matrix-6945, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16687, tc_fun(_u16686, tc_HOL_Obool)), _u16688), _u16689)), _u16690) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16687, tc_fun(_u16686, tc_HOL_Obool)), _u16688), hAPP(hAPP(c_COMBC(_u16687, tc_fun(_u16686, tc_HOL_Obool), tc_fun(_u16686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16686, tc_HOL_Obool), tc_fun(tc_fun(_u16686, tc_HOL_Obool), tc_fun(_u16686, tc_HOL_Obool)), _u16687), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16686, tc_HOL_Obool))), _u16689)), _u16690))) )).
% 12.32/12.58 cnf(matrix-6946, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16691, tc_HOL_Obool)), _u16692), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16691, tc_HOL_Obool)), _u16694), _u16695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16691, tc_HOL_Obool)), _u16694), hAPP(hAPP(c_COMBB(tc_fun(_u16691, tc_HOL_Obool), tc_fun(_u16691, tc_HOL_Obool), _u16693), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16691, tc_HOL_Obool)), _u16692)), _u16695))) )).
% 12.32/12.58 cnf(matrix-6947, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16696, tc_HOL_Obool)), _u16697), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16698, tc_fun(_u16696, tc_HOL_Obool)), _u16699), _u16700)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16698, tc_fun(_u16696, tc_HOL_Obool)), _u16699), hAPP(hAPP(c_COMBB(tc_fun(_u16696, tc_HOL_Obool), tc_fun(_u16696, tc_HOL_Obool), _u16698), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16696, tc_HOL_Obool)), _u16697)), _u16700))) )).
% 12.32/12.58 cnf(matrix-6948, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16702, tc_HOL_Obool)), _u16703), hAPP(hAPP(c_COMBC(_u16701, tc_fun(_u16702, tc_HOL_Obool), tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16702, tc_HOL_Obool), tc_fun(tc_fun(_u16702, tc_HOL_Obool), tc_fun(_u16702, tc_HOL_Obool)), _u16701), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16702, tc_HOL_Obool))), _u16704)), _u16705)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16702, tc_HOL_Obool)), _u16703), _u16704)), _u16705)) )).
% 12.32/12.58 cnf(matrix-6949, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16706, tc_fun(_u16707, tc_HOL_Obool)), _u16708), hAPP(hAPP(c_COMBB(tc_fun(_u16707, tc_HOL_Obool), tc_fun(_u16707, tc_HOL_Obool), _u16706), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16707, tc_HOL_Obool)), _u16709)), _u16710)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16707, tc_HOL_Obool)), _u16709), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16706, tc_fun(_u16707, tc_HOL_Obool)), _u16708), _u16710))) )).
% 12.32/12.58 cnf(matrix-6950, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16711, tc_HOL_Obool)), _u16713), _u16714)), _u16715) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), _u16713), _u16715)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16711, tc_fun(_u16712, tc_HOL_Obool)), _u16714), _u16715))) )).
% 12.32/12.58 cnf(matrix-6951, plain, ( ( hAPP(c_Relation_Oconverse(_u16716, _u16717), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16718, tc_fun(tc_prod(_u16716, _u16717), tc_HOL_Obool)), _u16719), _u16720)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16718, tc_fun(tc_prod(_u16717, _u16716), tc_HOL_Obool)), _u16719), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16716, _u16717), tc_HOL_Obool), tc_fun(tc_prod(_u16717, _u16716), tc_HOL_Obool), _u16718), c_Relation_Oconverse(_u16716, _u16717)), _u16720))) )).
% 12.32/12.58 cnf(matrix-6952, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16722, tc_HOL_Obool)), _u16723), _u16724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16721), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, _u16721), _u16724), _u16725)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, _u16721), _u16723), _u16725))) )).
% 12.32/12.58 cnf(matrix-6953, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16726, tc_fun(_u16727, tc_HOL_Obool)), _u16728), _u16729) = hAPP(c_Set_OCollect(_u16727), hAPP(hAPP(c_COMBB(tc_fun(_u16726, tc_HOL_Obool), tc_HOL_Obool, _u16727), c_HOL_OAll(_u16726)), hAPP(hAPP(c_COMBB(tc_fun(_u16726, tc_HOL_Obool), tc_fun(_u16726, tc_HOL_Obool), _u16727), hAPP(c_COMBS(_u16726, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16726), c_fimplies), hAPP(hAPP(c_COMBC(_u16726, tc_fun(_u16726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16726)), _u16728)))), hAPP(hAPP(c_COMBC(_u16727, tc_fun(_u16726, tc_fun(_u16727, tc_HOL_Obool)), tc_fun(_u16726, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16727, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16726, tc_fun(_u16727, tc_HOL_Obool)), tc_fun(_u16726, tc_HOL_Obool)), _u16727), c_COMBB(tc_fun(_u16727, tc_HOL_Obool), tc_HOL_Obool, _u16726)), c_member(_u16727))), _u16729))))) )).
% 12.32/12.58 cnf(matrix-6954, plain, ( ( _u16735 != c_Orderings_Obot__class_Obot(tc_fun(_u16737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(_u16739, tc_HOL_Obool)), _u16735), hAPP(hAPP(c_COMBB(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16739, tc_HOL_Obool), _u16737), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16739, tc_HOL_Obool)), _u16741)), _u16743)) = c_Orderings_Otop__class_Otop(tc_fun(_u16739, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6955, plain, ( ( _u16736 = c_Orderings_Obot__class_Obot(tc_fun(_u16738, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool), _u16738), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16740, tc_HOL_Obool)), _u16742)), _u16744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16740, tc_HOL_Obool)), _u16742), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), _u16744))) )).
% 12.32/12.58 cnf(matrix-6956, plain, ( ( _u16750 != c_Orderings_Obot__class_Obot(tc_fun(_u16752, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16752, tc_fun(_u16754, tc_HOL_Obool)), _u16750), hAPP(hAPP(c_COMBC(_u16752, tc_fun(_u16754, tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16754, tc_HOL_Obool), tc_fun(tc_fun(_u16754, tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), _u16752), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16754, tc_HOL_Obool))), _u16756)), _u16758)) = c_Orderings_Otop__class_Otop(tc_fun(_u16754, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6957, plain, ( ( _u16751 = c_Orderings_Obot__class_Obot(tc_fun(_u16753, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16753, tc_fun(_u16755, tc_HOL_Obool)), _u16751), hAPP(hAPP(c_COMBC(_u16753, tc_fun(_u16755, tc_HOL_Obool), tc_fun(_u16755, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16755, tc_HOL_Obool), tc_fun(tc_fun(_u16755, tc_HOL_Obool), tc_fun(_u16755, tc_HOL_Obool)), _u16753), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16755, tc_HOL_Obool))), _u16757)), _u16759)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16755, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16753, tc_fun(_u16755, tc_HOL_Obool)), _u16751), _u16757)), _u16759)) )).
% 12.32/12.58 cnf(matrix-6958, plain, ( ( _u16765 != c_Orderings_Obot__class_Obot(tc_fun(_u16767, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16767, tc_fun(_u16769, tc_HOL_Obool)), _u16765), hAPP(hAPP(c_COMBC(_u16767, tc_fun(_u16769, tc_HOL_Obool), tc_fun(_u16769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16769, tc_HOL_Obool), tc_fun(tc_fun(_u16769, tc_HOL_Obool), tc_fun(_u16769, tc_HOL_Obool)), _u16767), c_Groups_Ominus__class_Ominus(tc_fun(_u16769, tc_HOL_Obool))), _u16771)), _u16773)) = c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6959, plain, ( ( _u16766 = c_Orderings_Obot__class_Obot(tc_fun(_u16768, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16768, tc_fun(_u16770, tc_HOL_Obool)), _u16766), hAPP(hAPP(c_COMBC(_u16768, tc_fun(_u16770, tc_HOL_Obool), tc_fun(_u16770, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16770, tc_HOL_Obool), tc_fun(tc_fun(_u16770, tc_HOL_Obool), tc_fun(_u16770, tc_HOL_Obool)), _u16768), c_Groups_Ominus__class_Ominus(tc_fun(_u16770, tc_HOL_Obool))), _u16772)), _u16774)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16770, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16768, tc_fun(_u16770, tc_HOL_Obool)), _u16766), _u16772)), _u16774)) )).
% 12.32/12.58 cnf(matrix-6960, plain, ( ( _u16780 != c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16784, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16782, tc_fun(_u16784, tc_HOL_Obool)), _u16780), _u16786)), _u16788) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16784, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16784, tc_HOL_Obool))), _u16788)) )).
% 12.32/12.58 cnf(matrix-6961, plain, ( ( _u16781 = c_Orderings_Obot__class_Obot(tc_fun(_u16783, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16785, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16783, tc_fun(_u16785, tc_HOL_Obool)), _u16781), _u16787)), _u16789) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16783, tc_fun(_u16785, tc_HOL_Obool)), _u16781), hAPP(hAPP(c_COMBC(_u16783, tc_fun(_u16785, tc_HOL_Obool), tc_fun(_u16785, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16785, tc_HOL_Obool), tc_fun(tc_fun(_u16785, tc_HOL_Obool), tc_fun(_u16785, tc_HOL_Obool)), _u16783), c_Groups_Ominus__class_Ominus(tc_fun(_u16785, tc_HOL_Obool))), _u16787)), _u16789))) )).
% 12.32/12.58 cnf(matrix-6962, plain, ( ( _u16795 != c_Orderings_Obot__class_Obot(tc_fun(_u16797, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16799, tc_HOL_Obool)), _u16801), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16797, tc_fun(_u16799, tc_HOL_Obool)), _u16795), _u16803)) = _u16801) )).
% 12.32/12.58 cnf(matrix-6963, plain, ( ( _u16796 = c_Orderings_Obot__class_Obot(tc_fun(_u16798, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16800, tc_HOL_Obool)), _u16802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16798, tc_fun(_u16800, tc_HOL_Obool)), _u16796), _u16804)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16798, tc_fun(_u16800, tc_HOL_Obool)), _u16796), hAPP(hAPP(c_COMBB(tc_fun(_u16800, tc_HOL_Obool), tc_fun(_u16800, tc_HOL_Obool), _u16798), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16800, tc_HOL_Obool)), _u16802)), _u16804))) )).
% 12.32/12.58 cnf(matrix-6964, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16805) | ~hBOOL(hAPP(hAPP(c_member(_u16806), _u16807), _u16808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, _u16805), _u16808), _u16809)), hAPP(_u16809, _u16807))) )).
% 12.32/12.58 cnf(matrix-6965, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6966, plain, ( ( _u16815 != c_Orderings_Obot__class_Obot(tc_fun(_u16817, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16817, tc_fun(_u16819, tc_HOL_Obool)), _u16815), hAPP(hAPP(c_COMBB(tc_fun(_u16819, tc_HOL_Obool), tc_fun(_u16819, tc_HOL_Obool), _u16817), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16819, tc_HOL_Obool)), _u16821)), _u16823)) = c_Orderings_Otop__class_Otop(tc_fun(_u16819, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6967, plain, ( ( _u16816 = c_Orderings_Obot__class_Obot(tc_fun(_u16818, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16818, tc_fun(_u16820, tc_HOL_Obool)), _u16816), hAPP(hAPP(c_COMBB(tc_fun(_u16820, tc_HOL_Obool), tc_fun(_u16820, tc_HOL_Obool), _u16818), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16820, tc_HOL_Obool)), _u16822)), _u16824)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16820, tc_HOL_Obool)), _u16822), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16818, tc_fun(_u16820, tc_HOL_Obool)), _u16816), _u16824))) )).
% 12.32/12.58 cnf(matrix-6968, plain, ( ~c_Relation_Osingle__valued(_u16825, _u16826, hAPP(c_Relation_Oconverse(_u16826, _u16825), _u16827)) | ( _u16828 = c_Orderings_Obot__class_Obot(tc_fun(_u16829, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16826, _u16825, _u16827), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16826, tc_HOL_Obool)), _u16828), _u16830)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16825, tc_HOL_Obool)), _u16828), hAPP(hAPP(c_COMBB(tc_fun(_u16826, tc_HOL_Obool), tc_fun(_u16825, tc_HOL_Obool), _u16829), c_Relation_OImage(_u16826, _u16825, _u16827)), _u16830))) )).
% 12.32/12.58 cnf(matrix-6969, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16831) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16832), _u16833)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16831), _u16834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16832, _u16831), _u16833), _u16835)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16832, _u16831, hAPP(hAPP(c_COMBB(_u16831, tc_fun(_u16831, _u16831), _u16832), c_Lattices_Osemilattice__inf__class_Oinf(_u16831)), _u16835)), _u16834), _u16833)) )).
% 12.32/12.58 cnf(matrix-6970, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16836), _u16837)) | ( c_Complete__Lattice_OInf__class_OInf(_u16836, _u16837) = hAPP(hAPP(c_Finite__Set_Ofold(_u16836, _u16836, c_Lattices_Osemilattice__inf__class_Oinf(_u16836)), c_Orderings_Otop__class_Otop(_u16836)), _u16837)) )).
% 12.32/12.58 cnf(matrix-6971, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16838), _u16839)) | ( c_Complete__Lattice_OSup__class_OSup(_u16838, _u16839) = hAPP(hAPP(c_Finite__Set_Ofold(_u16838, _u16838, c_Lattices_Osemilattice__sup__class_Osup(_u16838)), c_Orderings_Obot__class_Obot(_u16838)), _u16839)) )).
% 12.32/12.58 cnf(matrix-6972, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16841, tc_HOL_Obool)), _u16840), _u16842)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16841), _u16840)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16841), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16841, tc_HOL_Obool), _u16842))) )).
% 12.32/12.58 cnf(matrix-6973, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16843, tc_HOL_Obool)), _u16844), _u16845)) | ~hBOOL(hAPP(hAPP(c_member(_u16843), _u16846), _u16844)) | hBOOL(hAPP(hAPP(c_member(_u16843), _u16846), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16843, tc_HOL_Obool), _u16845))) )).
% 12.32/12.58 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16847), _u16848), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16847, tc_HOL_Obool), _u16849))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16847, tc_HOL_Obool)), _u16850), _u16849)) | hBOOL(hAPP(hAPP(c_member(_u16847), _u16848), _u16850)) )).
% 12.32/12.58 cnf(matrix-6975, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16851), _u16852), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16851, tc_HOL_Obool), _u16853))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16851, tc_HOL_Obool)), _u16854), _u16853)) | hBOOL(hAPP(hAPP(c_member(_u16851), _u16852), _u16854)) )).
% 12.32/12.58 cnf(matrix-6976, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16862, tc_fun(_u16864, tc_HOL_Obool)), _u16866), _u16868), _u16870)) | ~hBOOL(hAPP(hAPP(c_member(_u16862), _u16855), _u16866)) | hBOOL(hAPP(hAPP(_u16868, _u16855), _u16870)) )).
% 12.32/12.58 cnf(matrix-6977, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16863, tc_fun(_u16865, tc_HOL_Obool)), _u16867), _u16869), _u16871)) | hBOOL(hAPP(hAPP(c_member(_u16863), skolem409(_u16871, _u16869, _u16867, _u16865, _u16863)), _u16867)) )).
% 12.32/12.58 cnf(matrix-6978, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16863, tc_fun(_u16865, tc_HOL_Obool)), _u16867), _u16869), _u16871)) | ~hBOOL(hAPP(hAPP(_u16869, skolem409(_u16871, _u16869, _u16867, _u16865, _u16863)), _u16871)) )).
% 12.32/12.58 cnf(matrix-6979, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16883, tc_fun(_u16885, tc_HOL_Obool))), _u16887), _u16889), _u16891), _u16893)) | ~hBOOL(hAPP(hAPP(c_member(_u16881), _u16872), _u16887)) | hBOOL(hAPP(hAPP(hAPP(_u16889, _u16872), _u16891), _u16893)) )).
% 12.32/12.58 cnf(matrix-6980, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16882, tc_fun(_u16884, tc_fun(_u16886, tc_HOL_Obool))), _u16888), _u16890), _u16892), _u16894)) | hBOOL(hAPP(hAPP(c_member(_u16882), skolem410(_u16894, _u16892, _u16890, _u16888, _u16886, _u16884, _u16882)), _u16888)) )).
% 12.32/12.58 cnf(matrix-6981, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16882, tc_fun(_u16884, tc_fun(_u16886, tc_HOL_Obool))), _u16888), _u16890), _u16892), _u16894)) | ~hBOOL(hAPP(hAPP(hAPP(_u16890, skolem410(_u16894, _u16892, _u16890, _u16888, _u16886, _u16884, _u16882)), _u16892), _u16894)) )).
% 12.32/12.58 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16895, tc_HOL_Obool), tc_fun(_u16896, tc_HOL_Obool)), _u16897), hAPP(hAPP(c_COMBC(tc_fun(_u16895, tc_HOL_Obool), tc_fun(_u16895, tc_fun(_u16896, tc_HOL_Obool)), tc_fun(_u16896, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16895, tc_fun(_u16896, tc_HOL_Obool))), _u16898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16895, tc_fun(_u16896, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16895, tc_HOL_Obool), _u16897)), _u16898)) )).
% 12.32/12.58 cnf(matrix-6983, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16899, tc_fun(_u16900, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16899, tc_HOL_Obool), _u16901)), _u16902) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16899, tc_HOL_Obool), tc_fun(_u16900, tc_HOL_Obool)), _u16901), hAPP(hAPP(c_COMBC(tc_fun(_u16899, tc_HOL_Obool), tc_fun(_u16899, tc_fun(_u16900, tc_HOL_Obool)), tc_fun(_u16900, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16899, tc_fun(_u16900, tc_HOL_Obool))), _u16902))) )).
% 12.32/12.58 cnf(matrix-6984, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16903, tc_fun(_u16904, tc_HOL_Obool)), _u16905), _u16906) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16904, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16903, tc_fun(_u16904, tc_HOL_Obool), _u16906), _u16905))) )).
% 12.32/12.58 cnf(matrix-6985, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16907, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16908, tc_fun(_u16907, tc_HOL_Obool), _u16909), _u16910)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16908, tc_fun(_u16907, tc_HOL_Obool)), _u16910), _u16909)) )).
% 12.32/12.58 cnf(matrix-6986, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16911, tc_HOL_Obool)), _u16912), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16911, tc_HOL_Obool), _u16913)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16911, tc_HOL_Obool), tc_fun(_u16911, tc_HOL_Obool)), _u16913), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16911, tc_HOL_Obool)), _u16912))) )).
% 12.32/12.58 cnf(matrix-6987, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16914, tc_HOL_Obool), _u16915) = hAPP(c_Set_OCollect(_u16914), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u16914), c_HOL_OAll(tc_fun(_u16914, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), _u16914), hAPP(c_COMBS(tc_fun(_u16914, 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(_u16914, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u16914, tc_HOL_Obool), tc_fun(tc_fun(_u16914, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u16914, tc_HOL_Obool))), _u16915)))), c_member(_u16914))))) )).
% 12.32/12.58 cnf(matrix-6988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16916, tc_HOL_Obool), tc_HOL_Obool)), _u16917), _u16918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16916, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16916, tc_HOL_Obool), _u16918)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16916, tc_HOL_Obool), _u16917))) )).
% 12.32/12.58 cnf(matrix-6989, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16919, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16919, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16919, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6990, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16920, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16920, tc_HOL_Obool)), _u16921), _u16922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16920, tc_HOL_Obool)), _u16921), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16920, tc_HOL_Obool), _u16922))) )).
% 12.32/12.58 cnf(matrix-6991, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16923, tc_HOL_Obool), tc_HOL_Obool)), _u16924), hAPP(c_Set_OPow(_u16923), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16923, tc_HOL_Obool), _u16924)))) )).
% 12.32/12.58 cnf(matrix-6992, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16925, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16925, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16925, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6993, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16931, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16931, tc_HOL_Obool), _u16933)), _u16935) != c_Orderings_Obot__class_Obot(tc_fun(_u16931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16931, tc_HOL_Obool)), _u16926), _u16933)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16931, tc_HOL_Obool)), _u16926), _u16935) = c_Orderings_Obot__class_Obot(tc_fun(_u16931, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6994, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16932, tc_HOL_Obool), _u16934)), _u16936) = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16932, tc_HOL_Obool)), skolem411(_u16936, _u16934, _u16932)), _u16934)) )).
% 12.32/12.58 cnf(matrix-6995, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16932, tc_HOL_Obool), _u16934)), _u16936) = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16932, tc_HOL_Obool)), skolem411(_u16936, _u16934, _u16932)), _u16936) != c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-6996, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16937, tc_HOL_Obool)), _u16938), _u16939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16937, tc_HOL_Obool)), _u16938), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16937, tc_HOL_Obool), _u16939))) )).
% 12.32/12.58 cnf(matrix-6997, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | ~hBOOL(hAPP(hAPP(c_member(_u16942), _u16940), _u16944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), _u16940)) )).
% 12.32/12.58 cnf(matrix-6998, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | hBOOL(hAPP(hAPP(c_member(_u16942), skolem412(_u16944, _u16943, _u16942)), _u16944)) )).
% 12.32/12.58 cnf(matrix-6999, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), c_Complete__Lattice_OInf__class_OInf(_u16942, _u16944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16942), _u16943), skolem412(_u16944, _u16943, _u16942))) )).
% 12.32/12.58 cnf(matrix-7000, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | ~hBOOL(hAPP(hAPP(c_member(_u16947), _u16945), _u16948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), _u16945), _u16949)) )).
% 12.32/12.58 cnf(matrix-7001, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | hBOOL(hAPP(hAPP(c_member(_u16947), skolem413(_u16949, _u16948, _u16947)), _u16948)) )).
% 12.32/12.58 cnf(matrix-7002, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), c_Complete__Lattice_OSup__class_OSup(_u16947, _u16948)), _u16949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16947), skolem413(_u16949, _u16948, _u16947)), _u16949)) )).
% 12.32/12.58 cnf(matrix-7003, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), _u16951), _u16952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16950, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16952)), _u16951)) )).
% 12.32/12.58 cnf(matrix-7004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16953, tc_HOL_Obool), tc_HOL_Obool)), _u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16953, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16953, tc_HOL_Obool), _u16954)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16953, tc_HOL_Obool), _u16955))) )).
% 12.32/12.58 cnf(matrix-7005, plain, ( ( hAPP(c_Relation_OField(_u16956), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16956, _u16956), tc_HOL_Obool), _u16957)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16956, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16956, _u16956), tc_HOL_Obool), tc_fun(_u16956, tc_HOL_Obool), c_Relation_OField(_u16956)), _u16957))) )).
% 12.32/12.58 cnf(matrix-7006, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16958, tc_HOL_Obool), hAPP(c_Set_OPow(_u16958), _u16959)) = _u16959) )).
% 12.32/12.58 cnf(matrix-7007, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) | hBOOL(hAPP(hAPP(c_member(_u16962), skolem414(_u16964, _u16963, _u16962)), _u16964)) )).
% 12.32/12.58 cnf(matrix-7008, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), skolem414(_u16964, _u16963, _u16962))) )).
% 12.32/12.58 cnf(matrix-7009, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16962) | ~class_Orderings_Olinorder(_u16962) | ~hBOOL(hAPP(hAPP(c_member(_u16962), _u16961), _u16964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), _u16961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16962), _u16963), c_Complete__Lattice_OSup__class_OSup(_u16962, _u16964))) )).
% 12.32/12.58 cnf(matrix-7010, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) | hBOOL(hAPP(hAPP(c_member(_u16967), skolem415(_u16969, _u16968, _u16967)), _u16968)) )).
% 12.32/12.58 cnf(matrix-7011, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), skolem415(_u16969, _u16968, _u16967)), _u16969)) )).
% 12.32/12.58 cnf(matrix-7012, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16967) | ~class_Orderings_Olinorder(_u16967) | ~hBOOL(hAPP(hAPP(c_member(_u16967), _u16966), _u16968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), _u16966), _u16969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16967), c_Complete__Lattice_OInf__class_OInf(_u16967, _u16968)), _u16969)) )).
% 12.32/12.58 cnf(matrix-7013, plain, ( ~c_Equiv__Relations_Oequiv(_u16970, _u16971, _u16972) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16970, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16970), _u16971), _u16972)) = _u16971) )).
% 12.32/12.58 cnf(matrix-7014, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16973) | ( c_Complete__Lattice_OInf__class_OInf(_u16973, _u16974) = c_Complete__Lattice_OSup__class_OSup(_u16973, hAPP(c_Set_OCollect(_u16973), hAPP(hAPP(c_COMBB(tc_fun(_u16973, tc_HOL_Obool), tc_HOL_Obool, _u16973), c_HOL_OAll(_u16973)), hAPP(hAPP(c_COMBB(tc_fun(_u16973, tc_HOL_Obool), tc_fun(_u16973, tc_HOL_Obool), _u16973), hAPP(c_COMBS(_u16973, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16973), c_fimplies), hAPP(hAPP(c_COMBC(_u16973, tc_fun(_u16973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16973)), _u16974)))), c_Orderings_Oord__class_Oless__eq(_u16973)))))) )).
% 12.32/12.58 cnf(matrix-7015, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16975) | ( c_Complete__Lattice_OSup__class_OSup(_u16975, _u16976) = c_Complete__Lattice_OInf__class_OInf(_u16975, hAPP(c_Set_OCollect(_u16975), hAPP(hAPP(c_COMBB(tc_fun(_u16975, tc_HOL_Obool), tc_HOL_Obool, _u16975), c_HOL_OAll(_u16975)), hAPP(hAPP(c_COMBB(tc_fun(_u16975, tc_HOL_Obool), tc_fun(_u16975, tc_HOL_Obool), _u16975), hAPP(c_COMBS(_u16975, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16975), c_fimplies), hAPP(hAPP(c_COMBC(_u16975, tc_fun(_u16975, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16975)), _u16976)))), hAPP(c_COMBC(_u16975, _u16975, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u16975))))))) )).
% 12.32/12.58 cnf(matrix-7016, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16977), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16977, tc_HOL_Obool), _u16978))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16977, tc_HOL_Obool)), _u16978)) )).
% 12.32/12.58 cnf(matrix-7017, plain, ( ( hAPP(c_Set_Oimage(_u16979, _u16980, _u16981), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16979, tc_HOL_Obool), _u16982)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16979, tc_HOL_Obool), tc_fun(_u16980, tc_HOL_Obool)), _u16982), c_Set_Oimage(_u16979, _u16980, _u16981))) )).
% 12.32/12.58 cnf(matrix-7018, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16983, _u16984), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16983, tc_HOL_Obool), _u16985)), _u16986) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16983, tc_HOL_Obool), tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), _u16985), hAPP(hAPP(c_COMBC(tc_fun(_u16983, tc_HOL_Obool), tc_fun(_u16983, tc_fun(_u16984, tc_HOL_Obool)), tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), c_Product__Type_OSigma(_u16983, _u16984)), _u16986))) )).
% 12.32/12.58 cnf(matrix-7019, plain, ( ( hAPP(c_Set_Ovimage(_u16987, _u16988, _u16989), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16988, tc_HOL_Obool), _u16990)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16988, tc_HOL_Obool), tc_fun(_u16987, tc_HOL_Obool)), _u16990), c_Set_Ovimage(_u16987, _u16988, _u16989))) )).
% 12.32/12.58 cnf(matrix-7020, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16991, tc_fun(_u16992, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16991, tc_HOL_Obool), _u16993)), _u16994) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16991, tc_HOL_Obool), tc_fun(_u16992, tc_HOL_Obool)), _u16993), hAPP(hAPP(c_COMBC(tc_fun(_u16991, tc_HOL_Obool), tc_fun(_u16991, tc_fun(_u16992, tc_HOL_Obool)), tc_fun(_u16992, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16991, tc_fun(_u16992, tc_HOL_Obool))), _u16994))) )).
% 12.32/12.58 cnf(matrix-7021, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16995, tc_HOL_Obool), tc_fun(_u16996, tc_HOL_Obool)), _u16997), hAPP(hAPP(c_COMBC(tc_fun(_u16995, tc_HOL_Obool), tc_fun(_u16995, tc_fun(_u16996, tc_HOL_Obool)), tc_fun(_u16996, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16995, tc_fun(_u16996, tc_HOL_Obool))), _u16998)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16995, tc_fun(_u16996, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16995, tc_HOL_Obool), _u16997)), _u16998)) )).
% 12.32/12.58 cnf(matrix-7022, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16999, tc_HOL_Obool)), _u17000), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16999, tc_HOL_Obool), _u17001)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16999, tc_HOL_Obool), tc_fun(_u16999, tc_HOL_Obool)), _u17001), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16999, tc_HOL_Obool)), _u17000))) )).
% 12.32/12.58 cnf(matrix-7023, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17002, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17002, tc_HOL_Obool), _u17003)), _u17004) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool)), _u17003), hAPP(hAPP(c_COMBC(tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool), tc_fun(_u17002, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17002, tc_HOL_Obool))), _u17004))) )).
% 12.32/12.58 cnf(matrix-7024, plain, ( ( hAPP(c_Relation_ORange(_u17005, _u17006), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17005, _u17006), tc_HOL_Obool), _u17007)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17005, _u17006), tc_HOL_Obool), tc_fun(_u17006, tc_HOL_Obool)), _u17007), c_Relation_ORange(_u17005, _u17006))) )).
% 12.32/12.58 cnf(matrix-7025, plain, ( ( hAPP(c_Relation_ODomain(_u17008, _u17009), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17008, _u17009), tc_HOL_Obool), _u17010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17008, _u17009), tc_HOL_Obool), tc_fun(_u17008, tc_HOL_Obool)), _u17010), c_Relation_ODomain(_u17008, _u17009))) )).
% 12.32/12.58 cnf(matrix-7026, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17011, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17011, tc_HOL_Obool)), _u17012), _u17013)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17011, tc_HOL_Obool)), _u17012), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17011, tc_HOL_Obool), _u17013))) )).
% 12.32/12.58 cnf(matrix-7027, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17014, tc_HOL_Obool), tc_HOL_Obool)), _u17015), _u17016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), _u17015)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17014, tc_HOL_Obool), _u17016))) )).
% 12.32/12.58 cnf(matrix-7028, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17017, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17017, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17017, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7029, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17018, tc_fun(_u17019, tc_HOL_Obool)), _u17020), _u17021) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17019, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17018, tc_fun(_u17019, tc_HOL_Obool), _u17021), _u17020))) )).
% 12.32/12.58 cnf(matrix-7030, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17022, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17023, tc_fun(_u17022, tc_HOL_Obool), _u17024), _u17025)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17023, tc_fun(_u17022, tc_HOL_Obool)), _u17025), _u17024)) )).
% 12.32/12.58 cnf(matrix-7031, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17026) | ~hBOOL(hAPP(hAPP(c_member(_u17026), _u17027), _u17028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17026), _u17027), c_Complete__Lattice_OSup__class_OSup(_u17026, _u17028))) )).
% 12.32/12.58 cnf(matrix-7032, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17029, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17029, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17029, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7033, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17030) | ~hBOOL(hAPP(hAPP(c_member(_u17030), _u17031), _u17032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17030), c_Complete__Lattice_OInf__class_OInf(_u17030, _u17032)), _u17031)) )).
% 12.32/12.58 cnf(matrix-7034, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17033, tc_HOL_Obool), tc_HOL_Obool)), _u17034), _u17035)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17033, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), _u17034)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17033, tc_HOL_Obool), _u17035))) )).
% 12.32/12.58 cnf(matrix-7035, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17036) | ( c_Complete__Lattice_OSup__class_OSup(_u17036, c_Orderings_Obot__class_Obot(tc_fun(_u17036, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17036)) )).
% 12.32/12.58 cnf(matrix-7036, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17037) | ( c_Complete__Lattice_OSup__class_OSup(_u17037, hAPP(hAPP(c_Set_Oinsert(_u17037), _u17038), c_Orderings_Obot__class_Obot(tc_fun(_u17037, tc_HOL_Obool)))) = _u17038) )).
% 12.32/12.58 cnf(matrix-7037, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17039) | ( c_Complete__Lattice_OSup__class_OSup(_u17039, hAPP(hAPP(c_Set_Oinsert(_u17039), _u17040), _u17041)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17039), _u17040), c_Complete__Lattice_OSup__class_OSup(_u17039, _u17041))) )).
% 12.32/12.58 cnf(matrix-7038, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17042, tc_fun(_u17043, tc_HOL_Obool)), _u17044), hAPP(hAPP(c_COMBS(_u17042, tc_fun(_u17043, tc_HOL_Obool), tc_fun(_u17043, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17043, tc_HOL_Obool), tc_fun(tc_fun(_u17043, tc_HOL_Obool), tc_fun(_u17043, tc_HOL_Obool)), _u17042), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17043, tc_HOL_Obool))), _u17045)), _u17046)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17043, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17043, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17042, tc_fun(_u17043, tc_HOL_Obool), _u17045), _u17044))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17043, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17042, tc_fun(_u17043, tc_HOL_Obool), _u17046), _u17044)))) )).
% 12.32/12.58 cnf(matrix-7039, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17047) | ( c_Complete__Lattice_OInf__class_OInf(_u17047, hAPP(hAPP(c_Set_Oinsert(_u17047), _u17048), c_Orderings_Obot__class_Obot(tc_fun(_u17047, tc_HOL_Obool)))) = _u17048) )).
% 12.32/12.58 cnf(matrix-7040, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17049) | ( c_Complete__Lattice_OSup__class_OSup(_u17049, c_Orderings_Otop__class_Otop(tc_fun(_u17049, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17049)) )).
% 12.32/12.58 cnf(matrix-7041, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ( c_Complete__Lattice_OInf__class_OInf(_u17050, c_Orderings_Obot__class_Obot(tc_fun(_u17050, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17050)) )).
% 12.32/12.58 cnf(matrix-7042, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17051) | ( c_Complete__Lattice_OInf__class_OInf(_u17051, c_Orderings_Otop__class_Otop(tc_fun(_u17051, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17051)) )).
% 12.32/12.58 cnf(matrix-7043, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17052) | ( c_Complete__Lattice_OInf__class_OInf(_u17052, hAPP(hAPP(c_Set_Oinsert(_u17052), _u17053), _u17054)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17052), _u17053), c_Complete__Lattice_OInf__class_OInf(_u17052, _u17054))) )).
% 12.32/12.58 cnf(matrix-7044, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17055, tc_HOL_Obool)), _u17056), _u17057) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17055, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17055, tc_HOL_Obool)), _u17056), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17055, tc_HOL_Obool)), _u17057), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17055, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.32/12.58 cnf(matrix-7045, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17058, tc_fun(_u17059, tc_HOL_Obool)), _u17060), hAPP(hAPP(c_COMBS(_u17058, tc_fun(_u17059, tc_HOL_Obool), tc_fun(_u17059, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17059, tc_HOL_Obool), tc_fun(tc_fun(_u17059, tc_HOL_Obool), tc_fun(_u17059, tc_HOL_Obool)), _u17058), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17059, tc_HOL_Obool))), _u17061)), _u17062)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17059, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17058, tc_fun(_u17059, tc_HOL_Obool), _u17061), _u17060))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17058, tc_fun(_u17059, tc_HOL_Obool), _u17062), _u17060)))) )).
% 12.32/12.58 cnf(matrix-7046, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17063, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17063, tc_HOL_Obool), tc_HOL_Obool)), _u17064), _u17065))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17063, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), _u17064)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17063, tc_HOL_Obool), _u17065)))) )).
% 12.32/12.58 cnf(matrix-7047, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), _u17067), _u17068) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17066, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17066, tc_HOL_Obool)), _u17067), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17066, tc_HOL_Obool)), _u17068), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17066, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.32/12.58 cnf(matrix-7048, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17069, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17069, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), _u17070)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), _u17071))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17069, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17069, tc_HOL_Obool), tc_HOL_Obool)), _u17070), _u17071)))) )).
% 12.32/12.58 cnf(matrix-7049, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17072) | ( c_Complete__Lattice_OSup__class_OSup(_u17072, hAPP(hAPP(c_Set_Oinsert(_u17072), _u17073), hAPP(hAPP(c_Set_Oinsert(_u17072), _u17074), c_Orderings_Obot__class_Obot(tc_fun(_u17072, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17072), _u17073), _u17074)) )).
% 12.32/12.58 cnf(matrix-7050, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17075) | ( c_Complete__Lattice_OInf__class_OInf(_u17075, hAPP(hAPP(c_Set_Oinsert(_u17075), _u17076), hAPP(hAPP(c_Set_Oinsert(_u17075), _u17077), c_Orderings_Obot__class_Obot(tc_fun(_u17075, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17075), _u17076), _u17077)) )).
% 12.32/12.58 cnf(matrix-7051, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17078), _u17079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17078), _u17080), c_Complete__Lattice_OSup__class_OSup(_u17078, _u17079)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17078, _u17078, c_Lattices_Osemilattice__sup__class_Osup(_u17078)), _u17080), _u17079)) )).
% 12.32/12.58 cnf(matrix-7052, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17081), _u17082)) | ( _u17082 = c_Orderings_Obot__class_Obot(tc_fun(_u17081, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17081, _u17082) = c_Complete__Lattice_OSup__class_OSup(_u17081, _u17082)) )).
% 12.32/12.58 cnf(matrix-7053, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17083), _u17084)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17083), _u17085), c_Complete__Lattice_OInf__class_OInf(_u17083, _u17084)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17083, _u17083, c_Lattices_Osemilattice__inf__class_Oinf(_u17083)), _u17085), _u17084)) )).
% 12.32/12.58 cnf(matrix-7054, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17086), _u17087)) | ( _u17087 = c_Orderings_Obot__class_Obot(tc_fun(_u17086, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17086, _u17087) = c_Complete__Lattice_OInf__class_OInf(_u17086, _u17087)) )).
% 12.32/12.58 cnf(matrix-7055, plain, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, _u17092) | ~hBOOL(hAPP(hAPP(c_member(_u17093), _u17096), _u17094)) | ( hAPP(c_Set_Oimage(_u17089, _u17090, _u17091), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17089, tc_HOL_Obool)), _u17094), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17090, tc_HOL_Obool)), _u17094), hAPP(hAPP(c_COMBB(tc_fun(_u17089, tc_HOL_Obool), tc_fun(_u17090, tc_HOL_Obool), _u17093), c_Set_Oimage(_u17089, _u17090, _u17091)), _u17095))) | hBOOL(hAPP(hAPP(c_member(_u17093), skolem416(_u17096, _u17095, _u17094, _u17093, _u17092, _u17091, _u17090, _u17089)), _u17094)) )).
% 12.32/12.58 cnf(matrix-7056, plain, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, _u17092) | ~hBOOL(hAPP(hAPP(c_member(_u17093), _u17096), _u17094)) | ( hAPP(c_Set_Oimage(_u17089, _u17090, _u17091), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17089, tc_HOL_Obool)), _u17094), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17093, tc_fun(_u17090, tc_HOL_Obool)), _u17094), hAPP(hAPP(c_COMBB(tc_fun(_u17089, tc_HOL_Obool), tc_fun(_u17090, tc_HOL_Obool), _u17093), c_Set_Oimage(_u17089, _u17090, _u17091)), _u17095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17089, tc_HOL_Obool)), hAPP(_u17095, skolem416(_u17096, _u17095, _u17094, _u17093, _u17092, _u17091, _u17090, _u17089))), _u17092)) )).
% 12.32/12.58 cnf(matrix-7057, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.58 cnf(matrix-7058, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem419(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.58 cnf(matrix-7059, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( skolem418(_u17102, _u17101, _u17100) != skolem419(_u17102, _u17101, _u17100)) )).
% 12.32/12.58 cnf(matrix-7060, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem417(_u17102, _u17101, _u17100)), _u17101)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), skolem419(_u17102, _u17101, _u17100)) != c_Orderings_Obot__class_Obot(tc_fun(_u17100, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7061, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.58 cnf(matrix-7062, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17100, tc_HOL_Obool)), skolem419(_u17102, _u17101, _u17100)), _u17101)) )).
% 12.32/12.58 cnf(matrix-7063, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( skolem418(_u17102, _u17101, _u17100) != skolem419(_u17102, _u17101, _u17100)) )).
% 12.32/12.58 cnf(matrix-7064, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(c_Finite__Set_Ocard(_u17100), skolem417(_u17102, _u17101, _u17100)) != _u17102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17102), hAPP(c_Finite__Set_Ocard(tc_fun(_u17100, tc_HOL_Obool)), _u17101)) = hAPP(c_Finite__Set_Ocard(_u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17100, tc_HOL_Obool), _u17101))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17100, tc_HOL_Obool)), skolem418(_u17102, _u17101, _u17100)), skolem419(_u17102, _u17101, _u17100)) != c_Orderings_Obot__class_Obot(tc_fun(_u17100, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7065, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17103, tc_HOL_Obool), _u17104) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17103, tc_HOL_Obool), tc_fun(_u17103, tc_HOL_Obool)), _u17104), c_COMBI(tc_fun(_u17103, tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7066, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17105, tc_HOL_Obool), _u17106) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17105, tc_HOL_Obool), tc_fun(_u17105, tc_HOL_Obool)), _u17106), c_COMBI(tc_fun(_u17105, tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7067, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17108, tc_HOL_Obool)), _u17109)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17108, tc_HOL_Obool), _u17109))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17108, tc_HOL_Obool)), skolem420(_u17109, _u17108)), _u17109)) )).
% 12.32/12.58 cnf(matrix-7068, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17108, tc_HOL_Obool)), _u17109)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17108, tc_HOL_Obool), _u17109))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17108), skolem420(_u17109, _u17108))) )).
% 12.32/12.58 cnf(matrix-7069, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), skolem421(_u17114, _u17113, _u17112)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114))) )).
% 12.32/12.58 cnf(matrix-7070, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), skolem422(_u17114, _u17113, _u17112)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114))) )).
% 12.32/12.58 cnf(matrix-7071, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | ( skolem421(_u17114, _u17113, _u17112) != skolem422(_u17114, _u17113, _u17112)) )).
% 12.32/12.58 cnf(matrix-7072, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17112, tc_HOL_Obool)), _u17113), _u17114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), _u17113), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17112, tc_HOL_Obool), _u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17112, tc_HOL_Obool)), skolem421(_u17114, _u17113, _u17112)), skolem422(_u17114, _u17113, _u17112)) != c_Orderings_Obot__class_Obot(tc_fun(_u17112, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7073, plain, ( ( _u17116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17117, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17117, _u17118, _u17119, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17117, tc_HOL_Obool), _u17116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17117, tc_HOL_Obool)), skolem423(_u17119, _u17118, _u17117, _u17116)), _u17116)) )).
% 12.32/12.58 cnf(matrix-7074, plain, ( ( _u17116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17117, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17117, _u17118, _u17119, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17117, tc_HOL_Obool), _u17116)) | ~c_Fun_Oinj__on(_u17117, _u17118, _u17119, skolem423(_u17119, _u17118, _u17117, _u17116)) )).
% 12.32/12.58 cnf(matrix-7075, plain, ( ( _u17122 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17121, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17121, tc_HOL_Obool), _u17122)), _u17123)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17121, tc_HOL_Obool)), skolem424(_u17123, _u17122, _u17121)), _u17122)) )).
% 12.32/12.58 cnf(matrix-7076, plain, ( ( _u17122 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17121, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17121, tc_HOL_Obool), _u17122)), _u17123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17121, tc_HOL_Obool)), skolem424(_u17123, _u17122, _u17121)), _u17123)) )).
% 12.32/12.58 cnf(matrix-7077, plain, ( ( _u17125 = c_Orderings_Obot__class_Obot(tc_fun(_u17126, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17126, tc_fun(_u17127, tc_HOL_Obool)), _u17125), _u17130)) | hBOOL(hAPP(hAPP(c_member(_u17126), skolem425(_u17130, _u17129, _u17128, _u17127, _u17126, _u17125)), _u17125)) )).
% 12.32/12.58 cnf(matrix-7078, plain, ( ( _u17125 = c_Orderings_Obot__class_Obot(tc_fun(_u17126, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17126, tc_fun(_u17127, tc_HOL_Obool)), _u17125), _u17130)) | ~c_Fun_Oinj__on(_u17127, _u17128, _u17129, hAPP(_u17130, skolem425(_u17130, _u17129, _u17128, _u17127, _u17126, _u17125))) )).
% 12.32/12.58 cnf(matrix-7079, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17132, _u17133, _u17134) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, hAPP(hAPP(c_Set_Oinsert(_u17132), _u17136), _u17137)), _u17138)) | hBOOL(hAPP(hAPP(c_member(_u17132), _u17136), _u17137)) | ( _u17138 = hAPP(hAPP(_u17134, _u17136), skolem426(_u17138, _u17137, _u17136, _u17135, _u17134, _u17133, _u17132))) )).
% 12.32/12.58 cnf(matrix-7080, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17132, _u17133, _u17134) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, hAPP(hAPP(c_Set_Oinsert(_u17132), _u17136), _u17137)), _u17138)) | hBOOL(hAPP(hAPP(c_member(_u17132), _u17136), _u17137)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17132, _u17133, _u17134, _u17135, _u17137), skolem426(_u17138, _u17137, _u17136, _u17135, _u17134, _u17133, _u17132))) )).
% 12.32/12.58 cnf(matrix-7081, plain, ( ~class_Orderings_Olinorder(_u17140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17140), _u17141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), hAPP(hAPP(c_Finite__Set_Ofold(_u17140, _u17140, c_Orderings_Oord__class_Omax(_u17140)), _u17143), _u17141)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17140), _u17142), _u17143))) | hBOOL(hAPP(hAPP(c_member(_u17140), skolem427(_u17143, _u17142, _u17141, _u17140)), _u17141)) )).
% 12.32/12.58 cnf(matrix-7082, plain, ( ~class_Orderings_Olinorder(_u17140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17140), _u17141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), hAPP(hAPP(c_Finite__Set_Ofold(_u17140, _u17140, c_Orderings_Oord__class_Omax(_u17140)), _u17143), _u17141)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17140), _u17142), _u17143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17140), skolem427(_u17143, _u17142, _u17141, _u17140)), _u17142)) )).
% 12.32/12.58 cnf(matrix-7083, plain, ( ~class_Orderings_Olinorder(_u17145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17145), _u17146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17145), _u17147), _u17148)), hAPP(hAPP(c_Finite__Set_Ofold(_u17145, _u17145, c_Orderings_Oord__class_Omin(_u17145)), _u17148), _u17146))) | hBOOL(hAPP(hAPP(c_member(_u17145), skolem428(_u17148, _u17147, _u17146, _u17145)), _u17146)) )).
% 12.32/12.58 cnf(matrix-7084, plain, ( ~class_Orderings_Olinorder(_u17145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17145), _u17146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17145), _u17147), _u17148)), hAPP(hAPP(c_Finite__Set_Ofold(_u17145, _u17145, c_Orderings_Oord__class_Omin(_u17145)), _u17148), _u17146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17145), _u17147), skolem428(_u17148, _u17147, _u17146, _u17145))) )).
% 12.32/12.58 cnf(matrix-7085, plain, ( hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17150, tc_HOL_Obool), _u17151))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17150, tc_HOL_Obool)), skolem429(_u17152, _u17151, _u17150)), _u17151)) )).
% 12.32/12.58 cnf(matrix-7086, plain, ( hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17150, tc_HOL_Obool), _u17151))) | ~hBOOL(hAPP(hAPP(c_member(_u17150), _u17152), skolem429(_u17152, _u17151, _u17150))) )).
% 12.32/12.58 cnf(matrix-7087, plain, ( ~class_Lattices_Osemilattice__inf(_u17154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17154), _u17155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17154), _u17156), _u17157)), hAPP(hAPP(c_Finite__Set_Ofold(_u17154, _u17154, c_Lattices_Osemilattice__inf__class_Oinf(_u17154)), _u17157), _u17155))) | hBOOL(hAPP(hAPP(c_member(_u17154), skolem430(_u17157, _u17156, _u17155, _u17154)), _u17155)) )).
% 12.32/12.58 cnf(matrix-7088, plain, ( ~class_Lattices_Osemilattice__inf(_u17154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17154), _u17155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17154), _u17156), _u17157)), hAPP(hAPP(c_Finite__Set_Ofold(_u17154, _u17154, c_Lattices_Osemilattice__inf__class_Oinf(_u17154)), _u17157), _u17155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17154), _u17156), skolem430(_u17157, _u17156, _u17155, _u17154))) )).
% 12.32/12.58 cnf(matrix-7089, plain, ( ~class_Lattices_Osemilattice__sup(_u17159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), _u17160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), hAPP(hAPP(c_Finite__Set_Ofold(_u17159, _u17159, c_Lattices_Osemilattice__sup__class_Osup(_u17159)), _u17162), _u17160)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17159), _u17161), _u17162))) | hBOOL(hAPP(hAPP(c_member(_u17159), skolem431(_u17162, _u17161, _u17160, _u17159)), _u17160)) )).
% 12.32/12.58 cnf(matrix-7090, plain, ( ~class_Lattices_Osemilattice__sup(_u17159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), _u17160)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), hAPP(hAPP(c_Finite__Set_Ofold(_u17159, _u17159, c_Lattices_Osemilattice__sup__class_Osup(_u17159)), _u17162), _u17160)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17159), _u17161), _u17162))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17159), skolem431(_u17162, _u17161, _u17160, _u17159)), _u17161)) )).
% 12.32/12.58 cnf(matrix-7091, plain, ( ~c_Wellfounded_Owf(_u17173, _u17175) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17163), _u17166)) | hBOOL(hAPP(hAPP(c_member(_u17173), skolem432(_u17175, _u17173, _u17166)), _u17166)) )).
% 12.32/12.58 cnf(matrix-7092, plain, ( ~c_Wellfounded_Owf(_u17173, _u17175) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17163), _u17166)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17173, _u17173)), hAPP(hAPP(c_Product__Type_OPair(_u17173, _u17173), _u17164), skolem432(_u17175, _u17173, _u17166))), _u17175)) | ~hBOOL(hAPP(hAPP(c_member(_u17173), _u17164), _u17166)) )).
% 12.32/12.58 cnf(matrix-7093, plain, ( c_Wellfounded_Owf(_u17174, _u17176) | hBOOL(hAPP(hAPP(c_member(_u17174), skolem434(_u17176, _u17174)), skolem433(_u17176, _u17174))) )).
% 12.32/12.58 cnf(matrix-7094, plain, ( c_Wellfounded_Owf(_u17174, _u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17174), _u17169), skolem433(_u17176, _u17174))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17174, _u17174)), hAPP(hAPP(c_Product__Type_OPair(_u17174, _u17174), skolem435(_u17176, _u17174, _u17169)), _u17169)), _u17176)) )).
% 12.32/12.58 cnf(matrix-7095, plain, ( c_Wellfounded_Owf(_u17174, _u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17174), _u17169), skolem433(_u17176, _u17174))) | hBOOL(hAPP(hAPP(c_member(_u17174), skolem435(_u17176, _u17174, _u17169)), skolem433(_u17176, _u17174))) )).
% 12.32/12.58 cnf(matrix-7096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17178), _u17183)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17178), _u17184)) | ( hAPP(_u17182, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17178, tc_HOL_Obool)), _u17183), _u17184)) = hAPP(hAPP(_u17179, hAPP(_u17182, _u17183)), hAPP(_u17182, _u17184))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17177, _u17178, _u17179, _u17180, _u17181, _u17182) )).
% 12.32/12.58 cnf(matrix-7097, 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)))), _u17186)) = 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)))), _u17187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem436(_u17187, _u17186))) )).
% 12.32/12.58 cnf(matrix-7098, 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)))), _u17186)) = 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)))), _u17187))) | hBOOL(hAPP(_u17186, skolem436(_u17187, _u17186))) | hBOOL(hAPP(_u17187, skolem436(_u17187, _u17186))) )).
% 12.32/12.58 cnf(matrix-7099, 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)))), _u17186)) = 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)))), _u17187))) | ~hBOOL(hAPP(_u17187, skolem436(_u17187, _u17186))) | ~hBOOL(hAPP(_u17186, skolem436(_u17187, _u17186))) )).
% 12.32/12.58 cnf(matrix-7100, plain, ( ( hAPP(hAPP(_u17190, _u17194), _u17194) = _u17194) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17188, _u17189, _u17190, _u17191, _u17192, _u17193) )).
% 12.32/12.58 cnf(matrix-7101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17196), _u17201)) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17202), _u17201)) | ( hAPP(hAPP(_u17197, hAPP(_u17199, _u17202)), hAPP(_u17200, _u17201)) = hAPP(_u17200, _u17201)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17195, _u17196, _u17197, _u17198, _u17199, _u17200) )).
% 12.32/12.58 cnf(matrix-7102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17204), _u17209)) | ( hAPP(_u17208, hAPP(hAPP(c_Set_Oinsert(_u17204), _u17210), _u17209)) = hAPP(hAPP(_u17205, hAPP(_u17207, _u17210)), hAPP(_u17208, _u17209))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17203, _u17204, _u17205, _u17206, _u17207, _u17208) )).
% 12.32/12.58 cnf(matrix-7103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17212), _u17217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17212, tc_HOL_Obool)), _u17218), _u17217)) | ( hAPP(hAPP(_u17213, hAPP(_u17216, _u17218)), hAPP(_u17216, _u17217)) = hAPP(_u17216, _u17217)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17211, _u17212, _u17213, _u17214, _u17215, _u17216) )).
% 12.32/12.58 cnf(matrix-7104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | hBOOL(hAPP(hAPP(c_member(_u17220), skolem437(_u17224, _u17223, _u17222, _u17221, _u17220)), _u17221)) )).
% 12.32/12.58 cnf(matrix-7105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | hBOOL(hAPP(_u17223, skolem437(_u17224, _u17223, _u17222, _u17221, _u17220))) )).
% 12.32/12.58 cnf(matrix-7106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), _u17221), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17221), hAPP(c_Set_OCollect(_u17220), _u17223))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), _u17222), hAPP(c_Set_OCollect(_u17220), _u17224)))) | ~hBOOL(hAPP(_u17224, skolem437(_u17224, _u17223, _u17222, _u17221, _u17220))) )).
% 12.32/12.58 cnf(matrix-7107, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17226, tc_HOL_Obool), _u17228))) | hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), skolem438(_u17228, _u17227, _u17226))) )).
% 12.32/12.58 cnf(matrix-7108, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17226, tc_HOL_Obool), _u17228))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17226, tc_HOL_Obool)), skolem438(_u17228, _u17227, _u17226)), _u17228)) )).
% 12.32/12.58 cnf(matrix-7109, plain, ( hBOOL(hAPP(hAPP(c_member(_u17229), _u17230), c_Map_Odom(_u17229, _u17231, _u17232))) | ( c_Map_Omap__add(_u17229, _u17231, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17229, tc_Option_Ooption(_u17231)), _u17233), _u17230), hAPP(c_Option_Ooption_OSome(_u17231), _u17234)), _u17232) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17229, tc_Option_Ooption(_u17231)), c_Map_Omap__add(_u17229, _u17231, _u17233, _u17232)), _u17230), hAPP(c_Option_Ooption_OSome(_u17231), _u17234))) )).
% 12.32/12.58 cnf(matrix-7110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17237, _u17238)), _u17239), hAPP(c_Relation_Oconverse(_u17238, _u17237), _u17240))) | ( _u17239 = hAPP(hAPP(c_Product__Type_OPair(_u17237, _u17238), skolem440(_u17240, _u17239, _u17238, _u17237)), skolem439(_u17240, _u17239, _u17238, _u17237))) )).
% 12.32/12.58 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17237, _u17238)), _u17239), hAPP(c_Relation_Oconverse(_u17238, _u17237), _u17240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17238, _u17237)), hAPP(hAPP(c_Product__Type_OPair(_u17238, _u17237), skolem439(_u17240, _u17239, _u17238, _u17237)), skolem440(_u17240, _u17239, _u17238, _u17237))), _u17240)) )).
% 12.32/12.58 cnf(matrix-7112, plain, ( ( hAPP(c_Map_Omap__add(_u17241, _u17242, _u17243, _u17244), _u17245) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17242), _u17242, hAPP(_u17243, _u17245), c_Option_Ooption_OSome(_u17242)), hAPP(_u17244, _u17245))) )).
% 12.32/12.58 cnf(matrix-7113, plain, ( ( c_Map_Omap__add(_u17246, _u17247, hAPP(c_COMBK(tc_Option_Ooption(_u17247), _u17246), c_Option_Ooption_ONone(_u17247)), _u17248) = _u17248) )).
% 12.32/12.58 cnf(matrix-7114, plain, ( ( c_Map_Omap__add(_u17249, _u17250, _u17251, hAPP(c_COMBK(tc_Option_Ooption(_u17250), _u17249), c_Option_Ooption_ONone(_u17250))) = _u17251) )).
% 12.32/12.58 cnf(matrix-7115, plain, ( ( c_Map_Omap__add(_u17252, _u17253, _u17254, c_Map_Omap__add(_u17252, _u17253, _u17255, _u17256)) = c_Map_Omap__add(_u17252, _u17253, c_Map_Omap__add(_u17252, _u17253, _u17254, _u17255), _u17256)) )).
% 12.32/12.58 cnf(matrix-7116, plain, ( ( hAPP(_u17257, _u17258) != hAPP(c_Option_Ooption_OSome(_u17259), _u17260)) | ( hAPP(c_Map_Omap__add(_u17261, _u17259, _u17262, _u17257), _u17258) = hAPP(c_Option_Ooption_OSome(_u17259), _u17260)) )).
% 12.32/12.58 cnf(matrix-7117, plain, ( ( hAPP(c_Map_Omap__add(_u17268, _u17270, _u17272, _u17274), _u17276) != c_Option_Ooption_ONone(_u17270)) | ( hAPP(_u17274, _u17276) = c_Option_Ooption_ONone(_u17270)) )).
% 12.32/12.58 cnf(matrix-7118, plain, ( ( hAPP(c_Map_Omap__add(_u17268, _u17270, _u17272, _u17274), _u17276) != c_Option_Ooption_ONone(_u17270)) | ( hAPP(_u17272, _u17276) = c_Option_Ooption_ONone(_u17270)) )).
% 12.32/12.58 cnf(matrix-7119, plain, ( ( hAPP(_u17275, _u17277) != c_Option_Ooption_ONone(_u17271)) | ( hAPP(_u17273, _u17277) != c_Option_Ooption_ONone(_u17271)) | ( hAPP(c_Map_Omap__add(_u17269, _u17271, _u17273, _u17275), _u17277) = c_Option_Ooption_ONone(_u17271)) )).
% 12.32/12.58 cnf(matrix-7120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17278), _u17279), c_Map_Odom(_u17278, _u17280, _u17281))) | ( hAPP(c_Map_Omap__add(_u17278, _u17280, _u17282, _u17281), _u17279) = hAPP(_u17281, _u17279)) )).
% 12.32/12.58 cnf(matrix-7121, plain, ( hBOOL(hAPP(hAPP(c_member(_u17283), _u17284), c_Map_Odom(_u17283, _u17285, _u17286))) | ( hAPP(c_Map_Omap__add(_u17283, _u17285, _u17287, _u17286), _u17284) = hAPP(_u17287, _u17284)) )).
% 12.32/12.58 cnf(matrix-7122, plain, ( hBOOL(hAPP(hAPP(c_member(_u17288), _u17289), c_Map_Odom(_u17288, _u17290, _u17291))) | ( hAPP(c_Map_Omap__add(_u17288, _u17290, _u17291, _u17292), _u17289) = hAPP(_u17292, _u17289)) )).
% 12.32/12.58 cnf(matrix-7123, plain, ( ( c_Map_Odom(_u17293, _u17294, c_Map_Omap__add(_u17293, _u17294, _u17295, _u17296)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17293, tc_HOL_Obool)), c_Map_Odom(_u17293, _u17294, _u17296)), c_Map_Odom(_u17293, _u17294, _u17295))) )).
% 12.32/12.58 cnf(matrix-7124, plain, ( ( hAPP(c_Map_Omap__add(_u17303, _u17305, _u17307, _u17309), _u17311) != hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = c_Option_Ooption_ONone(_u17305)) )).
% 12.32/12.58 cnf(matrix-7125, plain, ( ( hAPP(c_Map_Omap__add(_u17303, _u17305, _u17307, _u17309), _u17311) != hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17309, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) | ( hAPP(_u17307, _u17311) = hAPP(c_Option_Ooption_OSome(_u17305), _u17313)) )).
% 12.32/12.58 cnf(matrix-7126, plain, ( ( hAPP(c_Map_Omap__add(_u17304, _u17306, _u17308, _u17310), _u17312) = hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) | ( hAPP(_u17310, _u17312) != hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) )).
% 12.32/12.58 cnf(matrix-7127, plain, ( ( hAPP(c_Map_Omap__add(_u17304, _u17306, _u17308, _u17310), _u17312) = hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) | ( hAPP(_u17310, _u17312) != c_Option_Ooption_ONone(_u17306)) | ( hAPP(_u17308, _u17312) != hAPP(c_Option_Ooption_OSome(_u17306), _u17314)) )).
% 12.32/12.58 cnf(matrix-7128, plain, ( ( hAPP(c_Map_Omap__add(_u17315, _u17316, _u17317, _u17318), _u17319) != hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = c_Option_Ooption_ONone(_u17316)) )).
% 12.32/12.58 cnf(matrix-7129, plain, ( ( hAPP(c_Map_Omap__add(_u17315, _u17316, _u17317, _u17318), _u17319) != hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17318, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) | ( hAPP(_u17317, _u17319) = hAPP(c_Option_Ooption_OSome(_u17316), _u17320)) )).
% 12.32/12.58 cnf(matrix-7130, plain, ( ( c_Map_Omap__add(_u17321, _u17322, _u17323, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17321, tc_Option_Ooption(_u17322)), _u17324), _u17325), hAPP(c_Option_Ooption_OSome(_u17322), _u17326))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17321, tc_Option_Ooption(_u17322)), c_Map_Omap__add(_u17321, _u17322, _u17323, _u17324)), _u17325), hAPP(c_Option_Ooption_OSome(_u17322), _u17326))) )).
% 12.32/12.58 cnf(matrix-7131, plain, ( ~c_Fun_Oinj__on(_u17331, tc_Option_Ooption(_u17333), c_Map_Omap__add(_u17331, _u17333, _u17335, _u17337), c_Map_Odom(_u17331, _u17333, _u17337)) | c_Fun_Oinj__on(_u17331, tc_Option_Ooption(_u17333), _u17337, c_Map_Odom(_u17331, _u17333, _u17337)) )).
% 12.32/12.58 cnf(matrix-7132, plain, ( ~c_Fun_Oinj__on(_u17332, tc_Option_Ooption(_u17334), _u17338, c_Map_Odom(_u17332, _u17334, _u17338)) | c_Fun_Oinj__on(_u17332, tc_Option_Ooption(_u17334), c_Map_Omap__add(_u17332, _u17334, _u17336, _u17338), c_Map_Odom(_u17332, _u17334, _u17338)) )).
% 12.32/12.58 cnf(matrix-7133, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17339, tc_HOL_Obool)), c_Map_Odom(_u17339, _u17340, _u17341)), c_Map_Odom(_u17339, _u17340, _u17342)) != c_Orderings_Obot__class_Obot(tc_fun(_u17339, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17339, _u17340, _u17341, _u17342) = c_Map_Omap__add(_u17339, _u17340, _u17342, _u17341)) )).
% 12.32/12.58 cnf(matrix-7134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17343)), hAPP(c_Set_Oimage(_u17344, tc_Option_Ooption(_u17343), _u17345), c_Orderings_Otop__class_Otop(tc_fun(_u17344, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17343)), hAPP(c_Set_Oimage(_u17344, tc_Option_Ooption(_u17343), c_Map_Omap__add(_u17344, _u17343, _u17345, c_Map_Omap__of(_u17344, _u17343, _u17346))), c_Orderings_Otop__class_Otop(tc_fun(_u17344, tc_HOL_Obool))))) )).
% 12.32/12.58 cnf(matrix-7135, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | ( _u17352 = hAPP(hAPP(c_Product__Type_OPair(_u17350, _u17351), skolem441(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem443(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))) )).
% 12.32/12.58 cnf(matrix-7136, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17353)), hAPP(hAPP(c_Product__Type_OPair(_u17350, _u17353), skolem441(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem442(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))), _u17354)) )).
% 12.32/12.58 cnf(matrix-7137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17350, _u17351)), _u17352), hAPP(hAPP(c_Relation_Orel__comp(_u17350, _u17353, _u17351), _u17354), _u17355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17353, _u17351)), hAPP(hAPP(c_Product__Type_OPair(_u17353, _u17351), skolem442(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350)), skolem443(_u17355, _u17354, _u17353, _u17352, _u17351, _u17350))), _u17355)) )).
% 12.32/12.58 cnf(matrix-7138, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17356), c_Map_Odom(_u17356, _u17357, c_Map_Omap__of(_u17356, _u17357, _u17358)))) )).
% 12.32/12.58 cnf(matrix-7139, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17359)), hAPP(c_Set_Oimage(_u17360, tc_Option_Ooption(_u17359), c_Map_Omap__of(_u17360, _u17359, _u17361)), c_Orderings_Otop__class_Otop(tc_fun(_u17360, tc_HOL_Obool))))) )).
% 12.32/12.58 cnf(matrix-7140, plain, ( ( c_Map_Omap__add(_u17362, _u17363, _u17364, c_Map_Omap__of(_u17362, _u17363, _u17365)) = c_List_Ofoldr(tc_prod(_u17362, _u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17362, _u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), hAPP(hAPP(c_COMBC(_u17362, tc_fun(_u17363, tc_Option_Ooption(_u17363)), tc_fun(_u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), tc_fun(tc_fun(_u17363, tc_Option_Ooption(_u17363)), tc_fun(_u17363, tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))))), _u17362), c_COMBB(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363))), _u17363)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), tc_fun(tc_Option_Ooption(_u17363), tc_fun(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), _u17362), c_COMBC(tc_fun(_u17362, tc_Option_Ooption(_u17363)), tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), hAPP(c_COMBC(tc_fun(_u17362, tc_Option_Ooption(_u17363)), _u17362, tc_fun(tc_Option_Ooption(_u17363), tc_fun(_u17362, tc_Option_Ooption(_u17363)))), c_Fun_Ofun__upd(_u17362, tc_Option_Ooption(_u17363)))))), c_Option_Ooption_OSome(_u17363))), _u17365, _u17364)) )).
% 12.32/12.58 cnf(matrix-7141, plain, ( ( c_Smallcheck_Oorelse(_u17366, _u17367, _u17368) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17366), _u17366, _u17368, c_Option_Ooption_OSome(_u17366)), _u17367)) )).
% 12.32/12.58 cnf(matrix-7142, plain, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17369, _u17370) = c_Smallcheck_Ofull__small_H(_u17369, hAPP(c_Code__Numeral_Oint__of, _u17370), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17370)))) )).
% 12.32/12.58 cnf(matrix-7143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17374), _u17376)) | ( c_Smallcheck_Osmall_H(_u17378, _u17374, _u17376) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.32/12.58 cnf(matrix-7144, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17375), _u17377)) | ( c_Smallcheck_Osmall_H(_u17379, _u17375, _u17377) = 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(_u17379, _u17375, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17377), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17379, _u17377))) )).
% 12.32/12.58 cnf(matrix-7145, 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)), _u17380), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17381), _u17382)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17381), _u17382)) | ( c_Smallcheck_Osmall_H(_u17380, _u17381, _u17382) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.32/12.58 cnf(matrix-7146, 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)), _u17380), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17381), _u17382)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17381), _u17382)) | ( c_Smallcheck_Osmall_H(_u17380, _u17381, _u17382) = 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(_u17380, _u17381, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17382), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17380, _u17382))) )).
% 12.32/12.58 cnf(matrix-7147, plain, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17383), _u17384) = c_Smallcheck_Osmall_H(_u17383, hAPP(c_Code__Numeral_Oint__of, _u17384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17384)))) )).
% 12.32/12.58 cnf(matrix-7148, plain, ( ~class_Smallcheck_Osmall(_u17385) | ~class_Smallcheck_Osmall(_u17386) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17386, _u17385)), _u17387), _u17388) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17386), hAPP(hAPP(c_COMBC(_u17386, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17385, 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))), _u17386), c_Smallcheck_Osmall__class_Osmall(_u17385)), hAPP(hAPP(c_COMBB(tc_fun(_u17385, tc_prod(_u17386, _u17385)), tc_fun(_u17385, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17386), hAPP(c_COMBB(tc_prod(_u17386, _u17385), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17385), _u17387)), c_Product__Type_OPair(_u17386, _u17385)))), _u17388)), _u17388)) )).
% 12.32/12.58 cnf(matrix-7149, 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | 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(_u17395, _u17394, _u17393, _u17392)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))))) )).
% 12.32/12.58 cnf(matrix-7150, 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))) | ( hAPP(skolem444(_u17395, _u17394, _u17393, _u17392), skolem446(_u17395, _u17394, _u17393, _u17392)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17395, skolem444(_u17395, _u17394, _u17393, _u17392)), skolem445(_u17395, _u17394, _u17393, _u17392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem446(_u17395, _u17394, _u17393, _u17392)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.32/12.58 cnf(matrix-7151, 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)), _u17392), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17393), _u17394)))) | hBOOL(hAPP(hAPP(hAPP(_u17395, _u17392), _u17393), _u17394)) | ~hBOOL(hAPP(hAPP(hAPP(_u17395, skolem444(_u17395, _u17394, _u17393, _u17392)), skolem445(_u17395, _u17394, _u17393, _u17392)), skolem446(_u17395, _u17394, _u17393, _u17392))) )).
% 12.32/12.58 cnf(matrix-7152, plain, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 12.32/12.58 cnf(matrix-7153, plain, ( ~c_Fun_Oinj__on(_u17396, _u17397, _u17398, c_Orderings_Otop__class_Otop(tc_fun(_u17396, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17396, _u17399, _u17400), _u17401) != hAPP(c_Option_Ooption_OSome(_u17399), _u17402)) | ( hAPP(c_Map_Omap__of(_u17397, _u17399, hAPP(hAPP(c_List_Omap(tc_prod(_u17396, _u17399), tc_prod(_u17397, _u17399)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17396, _u17399, tc_prod(_u17397, _u17399)), hAPP(hAPP(c_COMBB(_u17397, tc_fun(_u17399, tc_prod(_u17397, _u17399)), _u17396), c_Product__Type_OPair(_u17397, _u17399)), _u17398))), _u17400)), hAPP(_u17398, _u17401)) = hAPP(c_Option_Ooption_OSome(_u17399), _u17402)) )).
% 12.32/12.58 cnf(matrix-7154, plain, ( ( c_Map_Omap__comp(_u17403, _u17404, _u17405, _u17406, _u17407, _u17408) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17404), _u17403, c_Option_Ooption_ONone(_u17404), _u17406), hAPP(_u17407, _u17408))) )).
% 12.32/12.58 cnf(matrix-7155, plain, ( ~c_Fun_Oinj__on(_u17409, _u17410, _u17411, c_Orderings_Otop__class_Otop(tc_fun(_u17409, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17409), tc_List_Olist(_u17410), hAPP(c_List_Omap(_u17409, _u17410), _u17411), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17409), tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7156, plain, ( ( hAPP(_u17412, _u17413) != hAPP(c_Option_Ooption_OSome(_u17414), _u17415)) | ( c_Map_Omap__comp(_u17414, _u17416, _u17417, _u17418, _u17412, _u17413) = hAPP(_u17418, _u17415)) )).
% 12.32/12.58 cnf(matrix-7157, plain, ( ( c_Map_Omap__comp(_u17428, _u17430, _u17432, _u17434, _u17436, _u17438) != hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) | ( hAPP(_u17436, _u17438) = hAPP(c_Option_Ooption_OSome(_u17428), skolem447(_u17440, _u17438, _u17436, _u17434, _u17432, _u17430, _u17428))) )).
% 12.32/12.58 cnf(matrix-7158, plain, ( ( c_Map_Omap__comp(_u17428, _u17430, _u17432, _u17434, _u17436, _u17438) != hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) | ( hAPP(_u17434, skolem447(_u17440, _u17438, _u17436, _u17434, _u17432, _u17430, _u17428)) = hAPP(c_Option_Ooption_OSome(_u17430), _u17440)) )).
% 12.32/12.58 cnf(matrix-7159, plain, ( ( hAPP(_u17437, _u17439) != hAPP(c_Option_Ooption_OSome(_u17429), _u17420)) | ( hAPP(_u17435, _u17420) != hAPP(c_Option_Ooption_OSome(_u17431), _u17441)) | ( c_Map_Omap__comp(_u17429, _u17431, _u17433, _u17435, _u17437, _u17439) = hAPP(c_Option_Ooption_OSome(_u17431), _u17441)) )).
% 12.32/12.58 cnf(matrix-7160, plain, ( ( hAPP(_u17442, _u17443) != c_Option_Ooption_ONone(_u17444)) | ( c_Map_Omap__comp(_u17444, _u17445, _u17446, _u17447, _u17442, _u17443) = c_Option_Ooption_ONone(_u17445)) )).
% 12.32/12.58 cnf(matrix-7161, plain, ( ( hAPP(hAPP(c_List_Omap(_u17448, _u17449), _u17450), _u17451) != hAPP(hAPP(c_List_Omap(_u17448, _u17449), _u17450), _u17452)) | ~c_Fun_Oinj__on(_u17448, _u17449, _u17450, c_Orderings_Otop__class_Otop(tc_fun(_u17448, tc_HOL_Obool))) | ( _u17451 = _u17452) )).
% 12.32/12.58 cnf(matrix-7162, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17453), tc_List_Olist(_u17454), hAPP(c_List_Omap(_u17453, _u17454), _u17455), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17453), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17453, _u17454, _u17455, c_Orderings_Otop__class_Otop(tc_fun(_u17453, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7163, plain, ( ~c_Fun_Oinj__on(_u17456, _u17457, _u17458, c_Orderings_Otop__class_Otop(tc_fun(_u17456, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17459) != hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17460)) | ( _u17459 = _u17460) )).
% 12.32/12.58 cnf(matrix-7164, plain, ( ~c_Fun_Oinj__on(_u17456, _u17457, _u17458, c_Orderings_Otop__class_Otop(tc_fun(_u17456, tc_HOL_Obool))) | ( _u17459 != _u17460) | ( hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17459) = hAPP(hAPP(c_List_Omap(_u17456, _u17457), _u17458), _u17460)) )).
% 12.32/12.58 cnf(matrix-7165, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17464), tc_List_Olist(_u17466), hAPP(c_List_Omap(_u17464, _u17466), _u17468), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17464), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17464, _u17466, _u17468, c_Orderings_Otop__class_Otop(tc_fun(_u17464, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7166, plain, ( ~c_Fun_Oinj__on(_u17465, _u17467, _u17469, c_Orderings_Otop__class_Otop(tc_fun(_u17465, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17465), tc_List_Olist(_u17467), hAPP(c_List_Omap(_u17465, _u17467), _u17469), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17465), tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7167, plain, ( ( hAPP(hAPP(c_List_Omap(_u17470, _u17470), c_COMBI(_u17470)), _u17471) = _u17471) )).
% 12.32/12.58 cnf(matrix-7168, plain, ( ( hAPP(c_List_Omap(_u17472, _u17472), c_Fun_Oid(_u17472)) = c_Fun_Oid(tc_List_Olist(_u17472))) )).
% 12.32/12.58 cnf(matrix-7169, plain, ( ( hAPP(c_List_Omap(_u17473, _u17473), c_COMBI(_u17473)) = c_Fun_Oid(tc_List_Olist(_u17473))) )).
% 12.32/12.58 cnf(matrix-7170, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17474), tc_List_Olist(_u17475), tc_List_Olist(_u17476), hAPP(c_List_Omap(_u17474, _u17475), _u17477)), hAPP(c_List_Omap(_u17476, _u17474), _u17478)) = hAPP(c_List_Omap(_u17476, _u17475), hAPP(c_Fun_Ocomp(_u17474, _u17475, _u17476, _u17477), _u17478))) )).
% 12.32/12.58 cnf(matrix-7171, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17479), tc_List_Olist(_u17480), tc_List_Olist(_u17481), hAPP(c_List_Omap(_u17479, _u17480), _u17482)), hAPP(c_List_Omap(_u17481, _u17479), _u17483)) = hAPP(c_List_Omap(_u17481, _u17480), hAPP(c_Fun_Ocomp(_u17479, _u17480, _u17481, _u17482), _u17483))) )).
% 12.32/12.58 cnf(matrix-7172, plain, ( ( hAPP(hAPP(c_List_Omap(_u17484, _u17485), _u17486), hAPP(hAPP(c_List_Omap(_u17487, _u17484), _u17488), _u17489)) = hAPP(hAPP(c_List_Omap(_u17487, _u17485), hAPP(c_Fun_Ocomp(_u17484, _u17485, _u17487, _u17486), _u17488)), _u17489)) )).
% 12.32/12.58 cnf(matrix-7173, plain, ( ( hAPP(hAPP(c_List_Omap(_u17490, _u17491), _u17492), hAPP(hAPP(c_List_Omap(_u17493, _u17490), _u17494), _u17495)) = hAPP(hAPP(c_List_Omap(_u17493, _u17491), hAPP(c_Fun_Ocomp(_u17490, _u17491, _u17493, _u17492), _u17494)), _u17495)) )).
% 12.32/12.58 cnf(matrix-7174, plain, ( ( c_List_Ofoldr(_u17496, _u17497, _u17498, hAPP(hAPP(c_List_Omap(_u17499, _u17496), _u17500), _u17501), _u17502) = c_List_Ofoldr(_u17499, _u17497, hAPP(c_Fun_Ocomp(_u17496, tc_fun(_u17497, _u17497), _u17499, _u17498), _u17500), _u17501, _u17502)) )).
% 12.32/12.58 cnf(matrix-7175, plain, ( ( c_Map_Omap__comp(_u17503, _u17504, _u17505, hAPP(c_COMBK(tc_Option_Ooption(_u17504), _u17503), c_Option_Ooption_ONone(_u17504)), _u17506, _u17507) = c_Option_Ooption_ONone(_u17504)) )).
% 12.32/12.58 cnf(matrix-7176, plain, ( ( c_Map_Omap__comp(_u17508, _u17509, _u17510, _u17511, hAPP(c_COMBK(tc_Option_Ooption(_u17508), _u17510), c_Option_Ooption_ONone(_u17508)), _u17512) = c_Option_Ooption_ONone(_u17509)) )).
% 12.32/12.58 cnf(matrix-7177, plain, ( ( c_Map_Omap__comp(_u17521, _u17523, _u17525, _u17527, _u17529, _u17531) != c_Option_Ooption_ONone(_u17523)) | ( hAPP(_u17529, _u17531) = c_Option_Ooption_ONone(_u17521)) | ( hAPP(_u17529, _u17531) = hAPP(c_Option_Ooption_OSome(_u17521), skolem448(_u17531, _u17529, _u17527, _u17525, _u17523, _u17521))) )).
% 12.32/12.58 cnf(matrix-7178, plain, ( ( c_Map_Omap__comp(_u17521, _u17523, _u17525, _u17527, _u17529, _u17531) != c_Option_Ooption_ONone(_u17523)) | ( hAPP(_u17529, _u17531) = c_Option_Ooption_ONone(_u17521)) | ( hAPP(_u17527, skolem448(_u17531, _u17529, _u17527, _u17525, _u17523, _u17521)) = c_Option_Ooption_ONone(_u17523)) )).
% 12.32/12.58 cnf(matrix-7179, plain, ( ( c_Map_Omap__comp(_u17522, _u17524, _u17526, _u17528, _u17530, _u17532) = c_Option_Ooption_ONone(_u17524)) | ( hAPP(_u17530, _u17532) != c_Option_Ooption_ONone(_u17522)) )).
% 12.32/12.58 cnf(matrix-7180, plain, ( ( c_Map_Omap__comp(_u17522, _u17524, _u17526, _u17528, _u17530, _u17532) = c_Option_Ooption_ONone(_u17524)) | ( hAPP(_u17530, _u17532) != hAPP(c_Option_Ooption_OSome(_u17522), _u17514)) | ( hAPP(_u17528, _u17514) != c_Option_Ooption_ONone(_u17524)) )).
% 12.32/12.58 cnf(matrix-7181, plain, ( ( c_Map_Omap__of(_u17533, _u17534, hAPP(hAPP(c_List_Omap(tc_prod(_u17533, _u17535), tc_prod(_u17533, _u17534)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17533, _u17535, tc_prod(_u17533, _u17534)), hAPP(hAPP(c_COMBC(_u17533, tc_fun(_u17535, _u17534), tc_fun(_u17535, tc_prod(_u17533, _u17534))), hAPP(hAPP(c_COMBB(tc_fun(_u17534, tc_prod(_u17533, _u17534)), tc_fun(tc_fun(_u17535, _u17534), tc_fun(_u17535, tc_prod(_u17533, _u17534))), _u17533), c_COMBB(_u17534, tc_prod(_u17533, _u17534), _u17535)), c_Product__Type_OPair(_u17533, _u17534))), _u17536))), _u17537)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17535), tc_Option_Ooption(_u17534), _u17533, hAPP(c_Option_Omap(_u17535, _u17534), _u17536)), c_Map_Omap__of(_u17533, _u17535, _u17537))) )).
% 12.32/12.58 cnf(matrix-7182, plain, ( ( hAPP(c_List_Oset(_u17538), _u17539) != c_Map_Odom(_u17538, _u17540, _u17541)) | ( c_Map_Omap__of(_u17538, _u17540, hAPP(hAPP(c_List_Omap(_u17538, tc_prod(_u17538, _u17540)), hAPP(hAPP(c_COMBS(_u17538, _u17540, tc_prod(_u17538, _u17540)), c_Product__Type_OPair(_u17538, _u17540)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17540), _u17540, _u17538), c_Option_Othe(_u17540)), _u17541))), _u17539)) = _u17541) )).
% 12.32/12.58 cnf(matrix-7183, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17542), hAPP(c_List_Oset(_u17542), _u17543))) )).
% 12.32/12.58 cnf(matrix-7184, plain, ( ( hAPP(c_List_Oset(_u17544), hAPP(hAPP(c_List_Omap(_u17545, _u17544), _u17546), _u17547)) = hAPP(c_Set_Oimage(_u17545, _u17544, _u17546), hAPP(c_List_Oset(_u17545), _u17547))) )).
% 12.32/12.58 cnf(matrix-7185, plain, ( ( hAPP(hAPP(c_List_Omap(_u17555, _u17557), _u17559), _u17561) != hAPP(hAPP(c_List_Omap(_u17555, _u17557), _u17563), _u17561)) | ~hBOOL(hAPP(hAPP(c_member(_u17555), _u17548), hAPP(c_List_Oset(_u17555), _u17561))) | ( hAPP(_u17559, _u17548) = hAPP(_u17563, _u17548)) )).
% 12.32/12.58 cnf(matrix-7186, plain, ( ( hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17560), _u17562) = hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17564), _u17562)) | hBOOL(hAPP(hAPP(c_member(_u17556), skolem449(_u17564, _u17562, _u17560, _u17558, _u17556)), hAPP(c_List_Oset(_u17556), _u17562))) )).
% 12.32/12.58 cnf(matrix-7187, plain, ( ( hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17560), _u17562) = hAPP(hAPP(c_List_Omap(_u17556, _u17558), _u17564), _u17562)) | ( hAPP(_u17560, skolem449(_u17564, _u17562, _u17560, _u17558, _u17556)) != hAPP(_u17564, skolem449(_u17564, _u17562, _u17560, _u17558, _u17556))) )).
% 12.32/12.58 cnf(matrix-7188, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), tc_sum(_u17567, _u17568), hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), c_Sum__Type_Osum_Osum__case(_u17567, tc_Option_Ooption(_u17565), _u17568, _u17570, _u17571)) = c_Sum__Type_Osum_Osum__case(_u17567, tc_Option_Ooption(_u17566), _u17568, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), _u17567, hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), _u17570), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17565), tc_Option_Ooption(_u17566), _u17568, hAPP(c_Option_Omap(_u17565, _u17566), _u17569)), _u17571))) )).
% 12.32/12.58 cnf(matrix-7189, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17572, _u17573), _u17574), hAPP(hAPP(c_Option_Omap(_u17575, _u17572), _u17576), _u17577)) = hAPP(hAPP(c_Option_Omap(_u17575, _u17573), hAPP(c_Fun_Ocomp(_u17572, _u17573, _u17575, _u17574), _u17576)), _u17577)) )).
% 12.32/12.58 cnf(matrix-7190, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17578, _u17579), _u17580), hAPP(hAPP(c_Option_Omap(_u17581, _u17578), _u17582), _u17583)) = hAPP(hAPP(c_Option_Omap(_u17581, _u17579), hAPP(c_Fun_Ocomp(_u17578, _u17579, _u17581, _u17580), _u17582)), _u17583)) )).
% 12.32/12.58 cnf(matrix-7191, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17584), tc_Option_Ooption(_u17585), tc_Option_Ooption(_u17586), hAPP(c_Option_Omap(_u17584, _u17585), _u17587)), hAPP(c_Option_Omap(_u17586, _u17584), _u17588)) = hAPP(c_Option_Omap(_u17586, _u17585), hAPP(c_Fun_Ocomp(_u17584, _u17585, _u17586, _u17587), _u17588))) )).
% 12.32/12.58 cnf(matrix-7192, plain, ( ( hAPP(c_Option_Omap(_u17589, _u17589), c_Fun_Oid(_u17589)) = c_Fun_Oid(tc_Option_Ooption(_u17589))) )).
% 12.32/12.58 cnf(matrix-7193, plain, ( ( hAPP(c_Option_Omap(_u17590, _u17590), c_COMBI(_u17590)) = c_Fun_Oid(tc_Option_Ooption(_u17590))) )).
% 12.32/12.58 cnf(matrix-7194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17591)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17591), tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7195, plain, ( ( c_Map_Odom(_u17592, _u17593, hAPP(hAPP(c_COMBS(_u17592, tc_Option_Ooption(_u17594), tc_Option_Ooption(_u17593)), hAPP(hAPP(c_COMBB(tc_fun(_u17594, _u17593), tc_fun(tc_Option_Ooption(_u17594), tc_Option_Ooption(_u17593)), _u17592), c_Option_Omap(_u17594, _u17593)), _u17595)), _u17596)) = c_Map_Odom(_u17592, _u17594, _u17596)) )).
% 12.32/12.58 cnf(matrix-7196, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17604, _u17606), _u17608), _u17610) != hAPP(c_Option_Ooption_OSome(_u17606), _u17612)) | ( _u17610 = hAPP(c_Option_Ooption_OSome(_u17604), skolem450(_u17612, _u17610, _u17608, _u17606, _u17604))) )).
% 12.32/12.58 cnf(matrix-7197, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17604, _u17606), _u17608), _u17610) != hAPP(c_Option_Ooption_OSome(_u17606), _u17612)) | ( hAPP(_u17608, skolem450(_u17612, _u17610, _u17608, _u17606, _u17604)) = _u17612) )).
% 12.32/12.58 cnf(matrix-7198, plain, ( ( _u17611 != hAPP(c_Option_Ooption_OSome(_u17605), _u17598)) | ( hAPP(_u17609, _u17598) != _u17613) | ( hAPP(hAPP(c_Option_Omap(_u17605, _u17607), _u17609), _u17611) = hAPP(c_Option_Ooption_OSome(_u17607), _u17613)) )).
% 12.32/12.58 cnf(matrix-7199, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17614, _u17615), _u17616), hAPP(c_Option_Ooption_OSome(_u17614), _u17617)) = hAPP(c_Option_Ooption_OSome(_u17615), hAPP(_u17616, _u17617))) )).
% 12.32/12.58 cnf(matrix-7200, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17622, _u17624), _u17626), _u17628) != c_Option_Ooption_ONone(_u17624)) | ( _u17628 = c_Option_Ooption_ONone(_u17622)) )).
% 12.32/12.58 cnf(matrix-7201, plain, ( ( _u17629 != c_Option_Ooption_ONone(_u17623)) | ( hAPP(hAPP(c_Option_Omap(_u17623, _u17625), _u17627), _u17629) = c_Option_Ooption_ONone(_u17625)) )).
% 12.32/12.58 cnf(matrix-7202, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17630, _u17631), _u17632), c_Option_Ooption_ONone(_u17630)) = c_Option_Ooption_ONone(_u17631)) )).
% 12.32/12.58 cnf(matrix-7203, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17633), tc_Option_Ooption(_u17634), _u17635, hAPP(c_Option_Omap(_u17633, _u17634), _u17636)), hAPP(c_COMBK(tc_Option_Ooption(_u17633), _u17635), c_Option_Ooption_ONone(_u17633))), _u17637) = c_Option_Ooption_ONone(_u17634)) )).
% 12.32/12.58 cnf(matrix-7204, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17639), _u17640, hAPP(c_Option_Omap(_u17638, _u17639), _u17641)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17640, tc_Option_Ooption(_u17638)), _u17642), _u17643), hAPP(c_Option_Ooption_OSome(_u17638), _u17644))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17640, tc_Option_Ooption(_u17639)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17639), _u17640, hAPP(c_Option_Omap(_u17638, _u17639), _u17641)), _u17642)), _u17643), hAPP(c_Option_Ooption_OSome(_u17639), hAPP(_u17641, _u17644)))) )).
% 12.32/12.58 cnf(matrix-7205, plain, ( ( hAPP(hAPP(c_List_Omap(_u17645, _u17646), _u17647), _u17648) != hAPP(hAPP(c_List_Omap(_u17645, _u17646), _u17647), _u17649)) | ~c_Fun_Oinj__on(_u17645, _u17646, _u17647, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17645, tc_HOL_Obool)), hAPP(c_List_Oset(_u17645), _u17648)), hAPP(c_List_Oset(_u17645), _u17649))) | ( _u17648 = _u17649) )).
% 12.32/12.58 cnf(matrix-7206, plain, ( ~c_Fun_Oinj__on(_u17650, _u17651, _u17652, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17650, tc_HOL_Obool)), hAPP(c_List_Oset(_u17650), _u17653)), hAPP(c_List_Oset(_u17650), _u17654))) | ( hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17653) != hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17654)) | ( _u17653 = _u17654) )).
% 12.32/12.58 cnf(matrix-7207, plain, ( ~c_Fun_Oinj__on(_u17650, _u17651, _u17652, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17650, tc_HOL_Obool)), hAPP(c_List_Oset(_u17650), _u17653)), hAPP(c_List_Oset(_u17650), _u17654))) | ( _u17653 != _u17654) | ( hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17653) = hAPP(hAPP(c_List_Omap(_u17650, _u17651), _u17652), _u17654)) )).
% 12.32/12.58 cnf(matrix-7208, plain, ( hBOOL(hAPP(hAPP(c_member(_u17655), _u17656), hAPP(c_List_Oset(_u17655), _u17657))) | ( hAPP(hAPP(c_List_Omap(_u17655, _u17658), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17655, _u17658), _u17659), _u17656), _u17660)), _u17657) = hAPP(hAPP(c_List_Omap(_u17655, _u17658), _u17659), _u17657)) )).
% 12.32/12.58 cnf(matrix-7209, plain, ( ~c_Fun_Oinj__on(_u17661, _u17662, _u17663, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17661, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17661), tc_fun(_u17661, tc_HOL_Obool), c_List_Oset(_u17661)), _u17664))) | c_Fun_Oinj__on(tc_List_Olist(_u17661), tc_List_Olist(_u17662), hAPP(c_List_Omap(_u17661, _u17662), _u17663), _u17664) )).
% 12.32/12.58 cnf(matrix-7210, plain, ( ( c_Map_Omap__of(_u17665, _u17666, _u17667) != c_Map_Omap__of(_u17665, _u17666, _u17668)) | ( hAPP(c_Set_Oimage(tc_prod(_u17665, _u17666), _u17665, c_Product__Type_Ofst(_u17665, _u17666)), hAPP(c_List_Oset(tc_prod(_u17665, _u17666)), _u17667)) = hAPP(c_Set_Oimage(tc_prod(_u17665, _u17666), _u17665, c_Product__Type_Ofst(_u17665, _u17666)), hAPP(c_List_Oset(tc_prod(_u17665, _u17666)), _u17668))) )).
% 12.32/12.58 cnf(matrix-7211, plain, ( ( hAPP(c_Map_Omap__of(_u17669, _u17670, _u17671), _u17672) != hAPP(c_Option_Ooption_OSome(_u17670), _u17673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17669, _u17670)), hAPP(hAPP(c_Product__Type_OPair(_u17669, _u17670), _u17672), _u17673)), hAPP(c_List_Oset(tc_prod(_u17669, _u17670)), _u17671))) )).
% 12.32/12.58 cnf(matrix-7212, plain, ( ( hAPP(c_Map_Omap__of(_u17674, _u17675, _u17676), _u17677) != hAPP(c_Option_Ooption_OSome(_u17675), _u17678)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17674, _u17675)), hAPP(hAPP(c_Product__Type_OPair(_u17674, _u17675), _u17677), _u17678)), hAPP(c_List_Oset(tc_prod(_u17674, _u17675)), _u17676))) )).
% 12.32/12.58 cnf(matrix-7213, plain, ( ( c_Map_Odom(_u17679, _u17680, c_Map_Omap__of(_u17679, _u17680, _u17681)) = hAPP(c_Set_Oimage(tc_prod(_u17679, _u17680), _u17679, c_Product__Type_Ofst(_u17679, _u17680)), hAPP(c_List_Oset(tc_prod(_u17679, _u17680)), _u17681))) )).
% 12.32/12.58 cnf(matrix-7214, plain, ( ( hAPP(c_Map_Omap__of(_u17686, _u17688, _u17690), _u17692) != c_Option_Ooption_ONone(_u17688)) | ~hBOOL(hAPP(hAPP(c_member(_u17686), _u17692), hAPP(c_Set_Oimage(tc_prod(_u17686, _u17688), _u17686, c_Product__Type_Ofst(_u17686, _u17688)), hAPP(c_List_Oset(tc_prod(_u17686, _u17688)), _u17690)))) )).
% 12.32/12.58 cnf(matrix-7215, plain, ( hBOOL(hAPP(hAPP(c_member(_u17687), _u17693), hAPP(c_Set_Oimage(tc_prod(_u17687, _u17689), _u17687, c_Product__Type_Ofst(_u17687, _u17689)), hAPP(c_List_Oset(tc_prod(_u17687, _u17689)), _u17691)))) | ( hAPP(c_Map_Omap__of(_u17687, _u17689, _u17691), _u17693) = c_Option_Ooption_ONone(_u17689)) )).
% 12.32/12.58 cnf(matrix-7216, plain, ( ( hAPP(c_Option_Omap(_u17694, _u17695), _u17696) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17695), _u17694, c_Option_Ooption_ONone(_u17695), hAPP(hAPP(c_COMBB(_u17695, tc_Option_Ooption(_u17695), _u17694), c_Option_Ooption_OSome(_u17695)), _u17696))) )).
% 12.32/12.58 cnf(matrix-7217, plain, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17697), 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)), _u17697)) )).
% 12.32/12.58 cnf(matrix-7218, 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))) )).
% 12.32/12.58 cnf(matrix-7219, 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)) )).
% 12.32/12.58 cnf(matrix-7220, plain, ( ( c_Map_Omap__of(_u17699, _u17700, hAPP(hAPP(c_List_Omap(_u17699, tc_prod(_u17699, _u17700)), hAPP(hAPP(c_COMBS(_u17699, _u17700, tc_prod(_u17699, _u17700)), c_Product__Type_OPair(_u17699, _u17700)), _u17701)), _u17702)) = c_Map_Orestrict__map(_u17699, _u17700, hAPP(c_Fun_Ocomp(_u17700, tc_Option_Ooption(_u17700), _u17699, c_Option_Ooption_OSome(_u17700)), _u17701), hAPP(c_List_Oset(_u17699), _u17702))) )).
% 12.32/12.58 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17703), hAPP(hAPP(c_List_Omap(tc_prod(_u17703, _u17704), _u17703), c_Product__Type_Ofst(_u17703, _u17704)), _u17705))) | ( c_Map_Oran(_u17703, _u17704, c_Map_Omap__of(_u17703, _u17704, _u17705)) = hAPP(c_Set_Oimage(tc_prod(_u17703, _u17704), _u17704, c_Product__Type_Osnd(_u17703, _u17704)), hAPP(c_List_Oset(tc_prod(_u17703, _u17704)), _u17705))) )).
% 12.32/12.58 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17706), hAPP(hAPP(c_List_Omap(tc_prod(_u17706, _u17707), _u17706), c_Product__Type_Ofst(_u17706, _u17707)), _u17708))) | ( hAPP(c_List_Oset(tc_prod(_u17706, _u17707)), _u17708) = hAPP(c_Set_OCollect(tc_prod(_u17706, _u17707)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17706, _u17707, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17706, tc_fun(_u17707, tc_Option_Ooption(_u17707)), tc_fun(_u17707, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17707), tc_HOL_Obool), tc_fun(tc_fun(_u17707, tc_Option_Ooption(_u17707)), tc_fun(_u17707, tc_HOL_Obool)), _u17706), c_COMBB(tc_Option_Ooption(_u17707), tc_HOL_Obool, _u17707)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17707), tc_fun(tc_Option_Ooption(_u17707), tc_HOL_Obool), _u17706), c_fequal), c_Map_Omap__of(_u17706, _u17707, _u17708)))), c_Option_Ooption_OSome(_u17707))))) )).
% 12.32/12.58 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17713), hAPP(hAPP(c_List_Omap(_u17715, _u17713), _u17717), _u17719))) | hBOOL(hAPP(c_List_Odistinct(_u17715), _u17719)) )).
% 12.32/12.58 cnf(matrix-7224, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17713), hAPP(hAPP(c_List_Omap(_u17715, _u17713), _u17717), _u17719))) | c_Fun_Oinj__on(_u17715, _u17713, _u17717, hAPP(c_List_Oset(_u17715), _u17719)) )).
% 12.32/12.58 cnf(matrix-7225, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17720)) | ~c_Fun_Oinj__on(_u17716, _u17714, _u17718, hAPP(c_List_Oset(_u17716), _u17720)) | hBOOL(hAPP(c_List_Odistinct(_u17714), hAPP(hAPP(c_List_Omap(_u17716, _u17714), _u17718), _u17720))) )).
% 12.32/12.58 cnf(matrix-7226, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17723))) | ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17724))) | ( c_Map_Omap__of(_u17721, _u17722, _u17723) != c_Map_Omap__of(_u17721, _u17722, _u17724)) | ( hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17723) = hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17724)) )).
% 12.32/12.58 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17723))) | ~hBOOL(hAPP(c_List_Odistinct(_u17721), hAPP(hAPP(c_List_Omap(tc_prod(_u17721, _u17722), _u17721), c_Product__Type_Ofst(_u17721, _u17722)), _u17724))) | ( hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17723) != hAPP(c_List_Oset(tc_prod(_u17721, _u17722)), _u17724)) | ( c_Map_Omap__of(_u17721, _u17722, _u17723) = c_Map_Omap__of(_u17721, _u17722, _u17724)) )).
% 12.32/12.58 cnf(matrix-7228, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17725), hAPP(hAPP(c_List_Omap(tc_prod(_u17725, _u17726), _u17725), c_Product__Type_Ofst(_u17725, _u17726)), _u17727))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17725, _u17726)), hAPP(hAPP(c_Product__Type_OPair(_u17725, _u17726), _u17728), _u17729)), hAPP(c_List_Oset(tc_prod(_u17725, _u17726)), _u17727))) | ( hAPP(c_Map_Omap__of(_u17725, _u17726, _u17727), _u17728) = hAPP(c_Option_Ooption_OSome(_u17726), _u17729)) )).
% 12.32/12.58 cnf(matrix-7229, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(tc_prod(_u17730, _u17731), _u17730), c_Product__Type_Ofst(_u17730, _u17731)), _u17732))) | ( hAPP(c_Map_Omap__of(_u17730, _u17731, _u17732), _u17733) != hAPP(c_Option_Ooption_OSome(_u17731), _u17734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17730, _u17731)), hAPP(hAPP(c_Product__Type_OPair(_u17730, _u17731), _u17733), _u17734)), hAPP(c_List_Oset(tc_prod(_u17730, _u17731)), _u17732))) )).
% 12.32/12.58 cnf(matrix-7230, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(tc_prod(_u17730, _u17731), _u17730), c_Product__Type_Ofst(_u17730, _u17731)), _u17732))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17730, _u17731)), hAPP(hAPP(c_Product__Type_OPair(_u17730, _u17731), _u17733), _u17734)), hAPP(c_List_Oset(tc_prod(_u17730, _u17731)), _u17732))) | ( hAPP(c_Map_Omap__of(_u17730, _u17731, _u17732), _u17733) = hAPP(c_Option_Ooption_OSome(_u17731), _u17734)) )).
% 12.32/12.58 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(hAPP(c_List_Omap(tc_prod(_u17735, _u17736), _u17735), c_Product__Type_Ofst(_u17735, _u17736)), _u17737))) | ( hAPP(c_Option_Ooption_OSome(_u17736), _u17738) != hAPP(c_Map_Omap__of(_u17735, _u17736, _u17737), _u17739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17735, _u17736)), hAPP(hAPP(c_Product__Type_OPair(_u17735, _u17736), _u17739), _u17738)), hAPP(c_List_Oset(tc_prod(_u17735, _u17736)), _u17737))) )).
% 12.32/12.58 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(hAPP(c_List_Omap(tc_prod(_u17735, _u17736), _u17735), c_Product__Type_Ofst(_u17735, _u17736)), _u17737))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17735, _u17736)), hAPP(hAPP(c_Product__Type_OPair(_u17735, _u17736), _u17739), _u17738)), hAPP(c_List_Oset(tc_prod(_u17735, _u17736)), _u17737))) | ( hAPP(c_Option_Ooption_OSome(_u17736), _u17738) = hAPP(c_Map_Omap__of(_u17735, _u17736, _u17737), _u17739)) )).
% 12.32/12.58 cnf(matrix-7233, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17740, _u17741) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17740), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17741), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.58 cnf(matrix-7234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17743, _u17744)), hAPP(hAPP(c_Product__Type_OPair(_u17743, _u17744), _u17745), _u17746)), hAPP(c_List_Oset(tc_prod(_u17743, _u17744)), _u17747))) | ( hAPP(c_Map_Omap__of(_u17743, _u17744, _u17747), _u17745) = hAPP(c_Option_Ooption_OSome(_u17744), skolem452(_u17747, _u17746, _u17745, _u17744, _u17743))) )).
% 12.32/12.58 cnf(matrix-7235, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17748, _u17749)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17748, _u17749)) )).
% 12.32/12.58 cnf(matrix-7236, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17750, _u17751) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17750, _u17751))) )).
% 12.32/12.58 cnf(matrix-7237, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17752, _u17753))) )).
% 12.32/12.58 cnf(matrix-7238, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17754), _u17755) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17755), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.32/12.58 cnf(matrix-7239, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17756, _u17757) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17756), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17757))) )).
% 12.32/12.58 cnf(matrix-7240, plain, ( ~c_List_Onat__list(_u17759) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17759)) )).
% 12.32/12.58 cnf(matrix-7241, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17760)) | c_List_Onat__list(_u17760) )).
% 12.32/12.58 cnf(matrix-7242, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17761), _u17762)) | ( hAPP(c_List_Oset(_u17761), c_List_Oremove1(_u17761, _u17763, _u17762)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17761, tc_HOL_Obool)), hAPP(c_List_Oset(_u17761), _u17762)), hAPP(hAPP(c_Set_Oinsert(_u17761), _u17763), c_Orderings_Obot__class_Obot(tc_fun(_u17761, tc_HOL_Obool))))) )).
% 12.32/12.58 cnf(matrix-7243, plain, ( hBOOL(hAPP(hAPP(c_member(_u17764), _u17765), hAPP(c_List_Oset(_u17764), _u17766))) | ( c_List_Oremove1(_u17764, _u17765, _u17766) = _u17766) )).
% 12.32/12.58 cnf(matrix-7244, plain, ( hBOOL(hAPP(hAPP(c_member(_u17767), _u17768), hAPP(c_List_Oset(_u17767), _u17769))) | ~hBOOL(hAPP(hAPP(c_member(_u17767), _u17768), hAPP(c_List_Oset(_u17767), c_List_Oremove1(_u17767, _u17770, _u17769)))) )).
% 12.32/12.58 cnf(matrix-7245, plain, ( ( _u17771 = _u17772) | ~hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), c_List_Oremove1(_u17773, _u17772, _u17774)))) | hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), _u17774))) )).
% 12.32/12.58 cnf(matrix-7246, plain, ( ( _u17771 = _u17772) | ~hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), _u17774))) | hBOOL(hAPP(hAPP(c_member(_u17773), _u17771), hAPP(c_List_Oset(_u17773), c_List_Oremove1(_u17773, _u17772, _u17774)))) )).
% 12.32/12.58 cnf(matrix-7247, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17775, tc_HOL_Obool)), hAPP(c_List_Oset(_u17775), c_List_Oremove1(_u17775, _u17776, _u17777))), hAPP(c_List_Oset(_u17775), _u17777))) )).
% 12.32/12.58 cnf(matrix-7248, plain, ( ( c_List_Oremove1(_u17778, _u17779, c_List_Oremove1(_u17778, _u17780, _u17781)) = c_List_Oremove1(_u17778, _u17780, c_List_Oremove1(_u17778, _u17779, _u17781))) )).
% 12.32/12.58 cnf(matrix-7249, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17782), _u17783)) | hBOOL(hAPP(c_List_Odistinct(_u17782), c_List_Oremove1(_u17782, _u17784, _u17783))) )).
% 12.32/12.58 cnf(matrix-7250, plain, ( ~class_Orderings_Olinorder(_u17785) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17785), _u17786)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17785, tc_HOL_Obool)), _u17786), hAPP(hAPP(c_Set_Oinsert(_u17785), _u17787), c_Orderings_Obot__class_Obot(tc_fun(_u17785, tc_HOL_Obool))))) = c_List_Oremove1(_u17785, _u17787, c_List_Olinorder__class_Osorted__list__of__set(_u17785, _u17786))) )).
% 12.32/12.58 cnf(matrix-7251, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17795), hAPP(c_List_Oset(_u17793), _u17797))) | ( hAPP(c_Map_Omap__of(_u17793, _u17799, hAPP(hAPP(c_List_Ozip(_u17793, _u17799), _u17797), hAPP(hAPP(c_List_Omap(_u17793, _u17799), _u17801), _u17797))), _u17795) = hAPP(c_Option_Ooption_OSome(_u17799), hAPP(_u17801, _u17795))) )).
% 12.32/12.58 cnf(matrix-7252, plain, ( hBOOL(hAPP(hAPP(c_member(_u17794), _u17796), hAPP(c_List_Oset(_u17794), _u17798))) | ( hAPP(c_Map_Omap__of(_u17794, _u17800, hAPP(hAPP(c_List_Ozip(_u17794, _u17800), _u17798), hAPP(hAPP(c_List_Omap(_u17794, _u17800), _u17802), _u17798))), _u17796) = c_Option_Ooption_ONone(_u17800)) )).
% 12.32/12.58 cnf(matrix-7253, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17803), _u17804)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17803, _u17805)), hAPP(hAPP(c_List_Ozip(_u17803, _u17805), _u17804), _u17806))) )).
% 12.32/12.58 cnf(matrix-7254, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17807), _u17808)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17809, _u17807)), hAPP(hAPP(c_List_Ozip(_u17809, _u17807), _u17810), _u17808))) )).
% 12.32/12.58 cnf(matrix-7255, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17811, _u17811), _u17812), _u17812) = hAPP(hAPP(c_List_Omap(_u17811, tc_prod(_u17811, _u17811)), hAPP(hAPP(c_COMBS(_u17811, _u17811, tc_prod(_u17811, _u17811)), c_Product__Type_OPair(_u17811, _u17811)), c_COMBI(_u17811))), _u17812)) )).
% 12.32/12.58 cnf(matrix-7256, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17813, _u17814), hAPP(hAPP(c_List_Omap(tc_prod(_u17813, _u17814), _u17813), c_Product__Type_Ofst(_u17813, _u17814)), _u17815)), hAPP(hAPP(c_List_Omap(tc_prod(_u17813, _u17814), _u17814), c_Product__Type_Osnd(_u17813, _u17814)), _u17815)) = _u17815) )).
% 12.32/12.58 cnf(matrix-7257, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17816, _u17817), _u17818), _u17819), hAPP(hAPP(c_List_Ozip(_u17816, _u17817), _u17820), hAPP(hAPP(c_List_Omap(_u17821, _u17817), _u17822), _u17823))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17816, _u17821), _u17818), hAPP(c_Product__Type_Oprod_Oprod__case(_u17816, _u17821, _u17818), hAPP(hAPP(c_COMBB(tc_fun(_u17821, tc_prod(_u17816, _u17817)), tc_fun(_u17821, _u17818), _u17816), hAPP(c_COMBB(tc_prod(_u17816, _u17817), _u17818, _u17821), _u17819)), hAPP(hAPP(c_COMBC(_u17816, tc_fun(_u17821, _u17817), tc_fun(_u17821, tc_prod(_u17816, _u17817))), hAPP(hAPP(c_COMBB(tc_fun(_u17817, tc_prod(_u17816, _u17817)), tc_fun(tc_fun(_u17821, _u17817), tc_fun(_u17821, tc_prod(_u17816, _u17817))), _u17816), c_COMBB(_u17817, tc_prod(_u17816, _u17817), _u17821)), c_Product__Type_OPair(_u17816, _u17817))), _u17822)))), hAPP(hAPP(c_List_Ozip(_u17816, _u17821), _u17820), _u17823))) )).
% 12.32/12.58 cnf(matrix-7258, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17826), _u17827), hAPP(hAPP(c_List_Ozip(_u17824, _u17825), hAPP(hAPP(c_List_Omap(_u17828, _u17824), _u17829), _u17830)), _u17831)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17828, _u17825), _u17826), hAPP(c_Product__Type_Oprod_Oprod__case(_u17828, _u17825, _u17826), hAPP(hAPP(c_COMBB(tc_fun(_u17825, tc_prod(_u17824, _u17825)), tc_fun(_u17825, _u17826), _u17828), hAPP(c_COMBB(tc_prod(_u17824, _u17825), _u17826, _u17825), _u17827)), hAPP(hAPP(c_COMBB(_u17824, tc_fun(_u17825, tc_prod(_u17824, _u17825)), _u17828), c_Product__Type_OPair(_u17824, _u17825)), _u17829)))), hAPP(hAPP(c_List_Ozip(_u17828, _u17825), _u17830), _u17831))) )).
% 12.32/12.58 cnf(matrix-7259, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_Product__Type_OPair(_u17832, _u17833), _u17834), _u17835)), hAPP(c_List_Oset(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_List_Ozip(_u17832, _u17833), _u17836), _u17837)))) | hBOOL(hAPP(hAPP(c_member(_u17832), _u17834), hAPP(c_List_Oset(_u17832), _u17836))) )).
% 12.32/12.58 cnf(matrix-7260, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_Product__Type_OPair(_u17832, _u17833), _u17834), _u17835)), hAPP(c_List_Oset(tc_prod(_u17832, _u17833)), hAPP(hAPP(c_List_Ozip(_u17832, _u17833), _u17836), _u17837)))) | hBOOL(hAPP(hAPP(c_member(_u17833), _u17835), hAPP(c_List_Oset(_u17833), _u17837))) )).
% 12.32/12.58 cnf(matrix-7261, plain, ( hBOOL(hAPP(hAPP(c_member(_u17839), _u17841), hAPP(c_List_Oset(_u17839), _u17843))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17840), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_List_Ozip(_u17838, _u17839), _u17842), _u17843)))) )).
% 12.32/12.58 cnf(matrix-7262, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17844, _u17845)), hAPP(hAPP(c_Product__Type_OPair(_u17844, _u17845), _u17846), _u17847)), hAPP(c_List_Oset(tc_prod(_u17844, _u17845)), hAPP(hAPP(c_List_Ozip(_u17844, _u17845), _u17848), _u17849)))) | hBOOL(hAPP(hAPP(c_member(_u17844), _u17846), hAPP(c_List_Oset(_u17844), _u17848))) )).
% 12.32/12.58 cnf(matrix-7263, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_Product__Type_OPair(_u17854, _u17854), _u17856), _u17858)), hAPP(c_List_Oset(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_List_Ozip(_u17854, _u17854), _u17860), _u17860)))) | hBOOL(hAPP(hAPP(c_member(_u17854), _u17856), hAPP(c_List_Oset(_u17854), _u17860))) )).
% 12.32/12.58 cnf(matrix-7264, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_Product__Type_OPair(_u17854, _u17854), _u17856), _u17858)), hAPP(c_List_Oset(tc_prod(_u17854, _u17854)), hAPP(hAPP(c_List_Ozip(_u17854, _u17854), _u17860), _u17860)))) | ( _u17856 = _u17858) )).
% 12.32/12.58 cnf(matrix-7265, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17855), _u17857), hAPP(c_List_Oset(_u17855), _u17861))) | ( _u17857 != _u17859) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17855, _u17855)), hAPP(hAPP(c_Product__Type_OPair(_u17855, _u17855), _u17857), _u17859)), hAPP(c_List_Oset(tc_prod(_u17855, _u17855)), hAPP(hAPP(c_List_Ozip(_u17855, _u17855), _u17861), _u17861)))) )).
% 12.32/12.58 cnf(matrix-7266, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17862, _u17863), _u17864), hAPP(hAPP(c_List_Omap(_u17865, _u17863), _u17866), _u17867)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17862, _u17865), tc_prod(_u17862, _u17863)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17862, _u17865, tc_prod(_u17862, _u17863)), hAPP(hAPP(c_COMBC(_u17862, tc_fun(_u17865, _u17863), tc_fun(_u17865, tc_prod(_u17862, _u17863))), hAPP(hAPP(c_COMBB(tc_fun(_u17863, tc_prod(_u17862, _u17863)), tc_fun(tc_fun(_u17865, _u17863), tc_fun(_u17865, tc_prod(_u17862, _u17863))), _u17862), c_COMBB(_u17863, tc_prod(_u17862, _u17863), _u17865)), c_Product__Type_OPair(_u17862, _u17863))), _u17866))), hAPP(hAPP(c_List_Ozip(_u17862, _u17865), _u17864), _u17867))) )).
% 12.32/12.58 cnf(matrix-7267, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17868, _u17869), hAPP(hAPP(c_List_Omap(_u17870, _u17868), _u17871), _u17872)), _u17873) = hAPP(hAPP(c_List_Omap(tc_prod(_u17870, _u17869), tc_prod(_u17868, _u17869)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17870, _u17869, tc_prod(_u17868, _u17869)), hAPP(hAPP(c_COMBB(_u17868, tc_fun(_u17869, tc_prod(_u17868, _u17869)), _u17870), c_Product__Type_OPair(_u17868, _u17869)), _u17871))), hAPP(hAPP(c_List_Ozip(_u17870, _u17869), _u17872), _u17873))) )).
% 12.32/12.58 cnf(matrix-7268, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17874, _u17875), hAPP(hAPP(c_List_Omap(_u17876, _u17874), _u17877), _u17878)), hAPP(hAPP(c_List_Omap(_u17879, _u17875), _u17880), _u17881)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17876, _u17879), tc_prod(_u17874, _u17875)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17876, _u17879, tc_prod(_u17874, _u17875)), hAPP(hAPP(c_COMBC(_u17876, tc_fun(_u17879, _u17875), tc_fun(_u17879, tc_prod(_u17874, _u17875))), hAPP(hAPP(c_COMBB(tc_fun(_u17875, tc_prod(_u17874, _u17875)), tc_fun(tc_fun(_u17879, _u17875), tc_fun(_u17879, tc_prod(_u17874, _u17875))), _u17876), c_COMBB(_u17875, tc_prod(_u17874, _u17875), _u17879)), hAPP(hAPP(c_COMBB(_u17874, tc_fun(_u17875, tc_prod(_u17874, _u17875)), _u17876), c_Product__Type_OPair(_u17874, _u17875)), _u17877))), _u17880))), hAPP(hAPP(c_List_Ozip(_u17876, _u17879), _u17878), _u17881))) )).
% 12.32/12.58 cnf(matrix-7269, plain, ( ~class_Orderings_Olinorder(_u17882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17882), _u17883)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17882, hAPP(hAPP(c_Set_Oinsert(_u17882), _u17884), _u17883)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17882, _u17882, c_COMBI(_u17882)), _u17884), c_List_Olinorder__class_Osorted__list__of__set(_u17882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17882, tc_HOL_Obool)), _u17883), hAPP(hAPP(c_Set_Oinsert(_u17882), _u17884), c_Orderings_Obot__class_Obot(tc_fun(_u17882, tc_HOL_Obool))))))) )).
% 12.32/12.58 cnf(matrix-7270, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17885)), _u17886) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17887)), _u17888)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17885)), _u17889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17887)), _u17888)) | hBOOL(hAPP(hAPP(c_member(_u17887), _u17890), hAPP(c_List_Oset(_u17887), _u17888))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17887, tc_Option_Ooption(_u17885)), c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17886))), _u17890), hAPP(c_Option_Ooption_OSome(_u17885), _u17891)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17887, tc_Option_Ooption(_u17885)), c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17889))), _u17890), hAPP(c_Option_Ooption_OSome(_u17885), _u17892))) | ( c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17886)) = c_Map_Omap__of(_u17887, _u17885, hAPP(hAPP(c_List_Ozip(_u17887, _u17885), _u17888), _u17889))) )).
% 12.32/12.58 cnf(matrix-7271, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17893, _u17894))), hAPP(hAPP(c_List_Ozip(_u17893, _u17894), _u17895), _u17896)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17893)), _u17895)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17894)), _u17896))) )).
% 12.32/12.58 cnf(matrix-7272, plain, ( ~class_Orderings_Olinorder(_u17897) | ( hAPP(c_List_Oset(_u17898), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17898, _u17897, _u17899), _u17900), _u17901)) = hAPP(hAPP(c_Set_Oinsert(_u17898), _u17900), hAPP(c_List_Oset(_u17898), _u17901))) )).
% 12.32/12.58 cnf(matrix-7273, plain, ( ~class_Orderings_Olinorder(_u17902) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17903, _u17902, _u17904), _u17905), _u17906)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), _u17906))) )).
% 12.32/12.58 cnf(matrix-7274, plain, ( ( _u17908 != _u17909) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17907)), _u17908) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17907)), _u17909)) )).
% 12.32/12.58 cnf(matrix-7275, plain, ( ~class_Orderings_Olinorder(_u17910) | ( hAPP(_u17911, _u17912) = hAPP(_u17911, _u17913)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17913), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17912), _u17915)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17912), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17914, _u17910, _u17911), _u17913), _u17915))) )).
% 12.32/12.58 cnf(matrix-7276, plain, ( ~class_Orderings_Olinorder(_u17916) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17917), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17918), _u17919)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17918), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17916, _u17916, c_COMBI(_u17916)), _u17917), _u17919))) )).
% 12.32/12.58 cnf(matrix-7277, plain, ( ~class_Orderings_Olinorder(_u17920) | c_Finite__Set_Ofun__left__comm(_u17920, tc_List_Olist(_u17920), c_List_Olinorder__class_Oinsort__key(_u17920, _u17920, c_COMBI(_u17920))) )).
% 12.32/12.58 cnf(matrix-7278, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17921), tc_List_Olist(_u17921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17921), tc_List_Olist(_u17921)), _u17922), _u17923)), hAPP(c_List_Olexn(_u17921, _u17924), _u17925))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17921)), _u17922) = _u17925) )).
% 12.32/12.58 cnf(matrix-7279, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17921), tc_List_Olist(_u17921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17921), tc_List_Olist(_u17921)), _u17922), _u17923)), hAPP(c_List_Olexn(_u17921, _u17924), _u17925))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17921)), _u17923) = _u17925) )).
% 12.32/12.58 cnf(matrix-7280, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), hAPP(hAPP(c_List_Omap(_u17927, _u17926), _u17928), _u17929)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17929)) )).
% 12.32/12.58 cnf(matrix-7281, plain, ( ( hAPP(hAPP(c_List_Omap(_u17930, _u17931), _u17932), _u17933) != hAPP(hAPP(c_List_Omap(_u17934, _u17931), _u17935), _u17936)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17930)), _u17933) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17934)), _u17936)) )).
% 12.32/12.58 cnf(matrix-7282, plain, ( ~class_Orderings_Olinorder(_u17937) | ( c_List_Oremove1(_u17937, _u17938, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17937, _u17937, c_COMBI(_u17937)), _u17938), _u17939)) = _u17939) )).
% 12.32/12.58 cnf(matrix-7283, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u17940), hAPP(c_List_Oset(_u17940), _u17941))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17940)), _u17941))) )).
% 12.32/12.58 cnf(matrix-7284, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17942), _u17943)) | ( hAPP(c_Finite__Set_Ocard(_u17942), hAPP(c_List_Oset(_u17942), _u17943)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17942)), _u17943)) )).
% 12.32/12.58 cnf(matrix-7285, plain, ( ( hAPP(c_Finite__Set_Ocard(_u17944), hAPP(c_List_Oset(_u17944), _u17945)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), _u17945)) | hBOOL(hAPP(c_List_Odistinct(_u17944), _u17945)) )).
% 12.32/12.58 cnf(matrix-7286, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17947) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17948)), _u17949)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17950) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17948)), _u17949)) | ~hBOOL(hAPP(c_List_Odistinct(_u17948), _u17949)) | ( c_Map_Omap__of(_u17948, _u17946, hAPP(hAPP(c_List_Ozip(_u17948, _u17946), _u17949), _u17947)) != c_Map_Omap__of(_u17948, _u17946, hAPP(hAPP(c_List_Ozip(_u17948, _u17946), _u17949), _u17950))) | ( _u17947 = _u17950) )).
% 12.32/12.58 cnf(matrix-7287, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17952) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17953)), _u17954)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17951, _u17953), _u17951), c_Product__Type_Ofst(_u17951, _u17953)), hAPP(hAPP(c_List_Ozip(_u17951, _u17953), _u17952), _u17954)) = _u17952) )).
% 12.32/12.58 cnf(matrix-7288, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17955)), _u17956) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17957)), _u17958)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17955, _u17957), _u17957), c_Product__Type_Osnd(_u17955, _u17957)), hAPP(hAPP(c_List_Ozip(_u17955, _u17957), _u17956), _u17958)) = _u17958) )).
% 12.32/12.58 cnf(matrix-7289, plain, ( ~class_Orderings_Olinorder(_u17959) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) | ~hBOOL(hAPP(hAPP(c_member(_u17960), _u17962), hAPP(c_List_Oset(_u17960), _u17963))) )).
% 12.32/12.58 cnf(matrix-7290, plain, ( ~class_Orderings_Olinorder(_u17959) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) | hBOOL(hAPP(c_List_Odistinct(_u17960), _u17963)) )).
% 12.32/12.58 cnf(matrix-7291, plain, ( ~class_Orderings_Olinorder(_u17959) | hBOOL(hAPP(hAPP(c_member(_u17960), _u17962), hAPP(c_List_Oset(_u17960), _u17963))) | ~hBOOL(hAPP(c_List_Odistinct(_u17960), _u17963)) | hBOOL(hAPP(c_List_Odistinct(_u17960), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17960, _u17959, _u17961), _u17962), _u17963))) )).
% 12.32/12.58 cnf(matrix-7292, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17964), _u17965), hAPP(c_List_Oset(_u17964), _u17966))) | 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(_u17964)), _u17966))) )).
% 12.32/12.58 cnf(matrix-7293, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) != _u17971) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17967), c_Product__Type_Ofst(_u17967, _u17969)), _u17971) = _u17968) )).
% 12.32/12.58 cnf(matrix-7294, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) != _u17971) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17969), c_Product__Type_Osnd(_u17967, _u17969)), _u17971) = _u17970) )).
% 12.32/12.58 cnf(matrix-7295, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17967)), _u17968) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17969)), _u17970)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17967), c_Product__Type_Ofst(_u17967, _u17969)), _u17971) != _u17968) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17967, _u17969), _u17969), c_Product__Type_Osnd(_u17967, _u17969)), _u17971) != _u17970) | ( hAPP(hAPP(c_List_Ozip(_u17967, _u17969), _u17968), _u17970) = _u17971) )).
% 12.32/12.58 cnf(matrix-7296, plain, ( ( c_List_Olenlex(_u17972, _u17973) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17972), tc_List_Olist(_u17972), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBS(tc_List_Olist(_u17972), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17972))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17972)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBS(tc_List_Olist(_u17972), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17972), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17972))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17972)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17972), tc_HOL_Obool)), tc_List_Olist(_u17972)), c_COMBC(tc_List_Olist(_u17972), tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17972), tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))), tc_fun(tc_List_Olist(_u17972), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u17972)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17972)), c_member(tc_prod(tc_List_Olist(_u17972), tc_List_Olist(_u17972))))), c_Product__Type_OPair(tc_List_Olist(_u17972), tc_List_Olist(_u17972))))), c_List_Olex(_u17972, _u17973))))))) )).
% 12.32/12.58 cnf(matrix-7297, plain, ( ( c_List_Olenlex(_u17974, _u17975) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974)), tc_List_Olist(_u17974)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u17974), c_Wellfounded_Oless__than, c_List_Olex(_u17974, _u17975))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17974), tc_List_Olist(_u17974), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u17974), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17974))), tc_List_Olist(_u17974)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u17974))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17974)))), c_COMBI(tc_List_Olist(_u17974))))) )).
% 12.32/12.58 cnf(matrix-7298, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17976), _u17977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17976)), hAPP(c_Set_OCollect(tc_List_Olist(_u17976)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17976), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17976)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_fun(_u17976, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17976, tc_HOL_Obool), tc_fun(tc_fun(_u17976, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17976)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17976, tc_HOL_Obool))), c_List_Oset(_u17976))), _u17977))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17976)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17976)))), _u17978))))) )).
% 12.32/12.58 cnf(matrix-7299, plain, ( ( _u17984 != _u17986) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17984) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17986)) )).
% 12.32/12.58 cnf(matrix-7300, plain, ( ( _u17984 != _u17986) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17988, _u17988)), _u17979), hAPP(c_List_Oset(tc_prod(_u17988, _u17988)), hAPP(hAPP(c_List_Ozip(_u17988, _u17988), _u17984), _u17986)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17988, _u17988, tc_HOL_Obool), c_fequal), _u17979)) )).
% 12.32/12.58 cnf(matrix-7301, plain, ( ( _u17985 = _u17987) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17985) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17987)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17989, _u17989)), skolem453(_u17989, _u17987, _u17985)), hAPP(c_List_Oset(tc_prod(_u17989, _u17989)), hAPP(hAPP(c_List_Ozip(_u17989, _u17989), _u17985), _u17987)))) )).
% 12.32/12.58 cnf(matrix-7302, plain, ( ( _u17985 = _u17987) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17985) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17987)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17989, _u17989, tc_HOL_Obool), c_fequal), skolem453(_u17989, _u17987, _u17985))) )).
% 12.32/12.58 cnf(matrix-7303, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), _u17993)) | ( hAPP(c_Map_Omap__of(_u17990, _u17992, hAPP(hAPP(c_List_Ozip(_u17990, _u17992), _u17991), _u17993)), _u17994) != c_Option_Ooption_ONone(_u17992)) | ~hBOOL(hAPP(hAPP(c_member(_u17990), _u17994), hAPP(c_List_Oset(_u17990), _u17991))) )).
% 12.32/12.58 cnf(matrix-7304, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), _u17993)) | hBOOL(hAPP(hAPP(c_member(_u17990), _u17994), hAPP(c_List_Oset(_u17990), _u17991))) | ( hAPP(c_Map_Omap__of(_u17990, _u17992, hAPP(hAPP(c_List_Ozip(_u17990, _u17992), _u17991), _u17993)), _u17994) = c_Option_Ooption_ONone(_u17992)) )).
% 12.32/12.58 cnf(matrix-7305, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17998) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17999)), _u18000)) | ~hBOOL(hAPP(hAPP(c_member(_u17997), _u18001), hAPP(c_List_Oset(_u17997), _u17998))) | ( hAPP(c_Map_Omap__of(_u17997, _u17999, hAPP(hAPP(c_List_Ozip(_u17997, _u17999), _u17998), _u18000)), _u18001) = hAPP(c_Option_Ooption_OSome(_u17999), skolem454(_u18001, _u18000, _u17999, _u17998, _u17997))) )).
% 12.32/12.58 cnf(matrix-7306, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17998) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17999)), _u18000)) | ( hAPP(c_Map_Omap__of(_u17997, _u17999, hAPP(hAPP(c_List_Ozip(_u17997, _u17999), _u17998), _u18000)), _u18001) != hAPP(c_Option_Ooption_OSome(_u17999), _u17996)) | hBOOL(hAPP(hAPP(c_member(_u17997), _u18001), hAPP(c_List_Oset(_u17997), _u17998))) )).
% 12.32/12.58 cnf(matrix-7307, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18005), _u18007), hAPP(c_List_Oset(_u18005), _u18009))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), c_List_Oremove1(_u18005, _u18007, _u18009)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18009)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7308, plain, ( hBOOL(hAPP(hAPP(c_member(_u18006), _u18008), hAPP(c_List_Oset(_u18006), _u18010))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18006)), c_List_Oremove1(_u18006, _u18008, _u18010)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18006)), _u18010)) )).
% 12.32/12.58 cnf(matrix-7309, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18011)), _u18012) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18013)), _u18014)) | ~hBOOL(hAPP(c_List_Odistinct(_u18011), _u18012)) | ( c_Map_Odom(_u18011, _u18013, c_Map_Omap__of(_u18011, _u18013, hAPP(hAPP(c_List_Ozip(_u18011, _u18013), _u18012), _u18014))) = hAPP(c_List_Oset(_u18011), _u18012)) )).
% 12.32/12.58 cnf(matrix-7310, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18015), _u18016)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18015)), hAPP(c_Set_OCollect(tc_List_Olist(_u18015)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18015), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18015)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18015), tc_fun(_u18015, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18015, tc_HOL_Obool), tc_fun(tc_fun(_u18015, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18015)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18015, tc_HOL_Obool))), c_List_Oset(_u18015))), _u18016))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18015), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18015)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18015)))), _u18017))))) )).
% 12.32/12.58 cnf(matrix-7311, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18020), _u18022)) | ( c_Nitpick_Ocard_H(_u18020, _u18022) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), c_Hilbert__Choice_OEps(tc_List_Olist(_u18020), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18020), tc_HOL_Obool, tc_HOL_Obool), hAPP(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_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_HOL_Obool), tc_fun(tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18020)), c_fequal), c_List_Oset(_u18020))), _u18022))), c_List_Odistinct(_u18020))))) )).
% 12.32/12.58 cnf(matrix-7312, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18021), _u18023)) | ( c_Nitpick_Ocard_H(_u18021, _u18023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18030), tc_List_Olist(_u18030))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18030), tc_List_Olist(_u18030)), _u18032), _u18034)), c_List_Olistrel(_u18030, _u18036))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18032) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18034)) )).
% 12.32/12.58 cnf(matrix-7314, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18030), tc_List_Olist(_u18030))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18030), tc_List_Olist(_u18030)), _u18032), _u18034)), c_List_Olistrel(_u18030, _u18036))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18030, _u18030)), _u18024), hAPP(c_List_Oset(tc_prod(_u18030, _u18030)), hAPP(hAPP(c_List_Ozip(_u18030, _u18030), _u18032), _u18034)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18030, _u18030, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18030, tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_fun(_u18030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18030, tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_fun(_u18030, tc_HOL_Obool)), _u18030), c_COMBC(_u18030, tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18030, tc_prod(_u18030, _u18030)), tc_fun(_u18030, tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool)), _u18030), hAPP(c_COMBB(tc_prod(_u18030, _u18030), tc_fun(tc_fun(tc_prod(_u18030, _u18030), tc_HOL_Obool), tc_HOL_Obool), _u18030), c_member(tc_prod(_u18030, _u18030)))), c_Product__Type_OPair(_u18030, _u18030)))), _u18036)), _u18024)) )).
% 12.32/12.58 cnf(matrix-7315, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18031), tc_List_Olist(_u18031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18031), tc_List_Olist(_u18031)), _u18033), _u18035)), c_List_Olistrel(_u18031, _u18037))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18033) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18035)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18031, _u18031)), skolem455(_u18037, _u18035, _u18033, _u18031)), hAPP(c_List_Oset(tc_prod(_u18031, _u18031)), hAPP(hAPP(c_List_Ozip(_u18031, _u18031), _u18033), _u18035)))) )).
% 12.32/12.58 cnf(matrix-7316, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18031), tc_List_Olist(_u18031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18031), tc_List_Olist(_u18031)), _u18033), _u18035)), c_List_Olistrel(_u18031, _u18037))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18033) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18031)), _u18035)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18031, _u18031, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18031, tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_fun(_u18031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18031, tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_fun(_u18031, tc_HOL_Obool)), _u18031), c_COMBC(_u18031, tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18031, tc_prod(_u18031, _u18031)), tc_fun(_u18031, tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool)), _u18031), hAPP(c_COMBB(tc_prod(_u18031, _u18031), tc_fun(tc_fun(tc_prod(_u18031, _u18031), tc_HOL_Obool), tc_HOL_Obool), _u18031), c_member(tc_prod(_u18031, _u18031)))), c_Product__Type_OPair(_u18031, _u18031)))), _u18037)), skolem455(_u18037, _u18035, _u18033, _u18031))) )).
% 12.32/12.58 cnf(matrix-7317, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18038), tc_List_Olist(_u18038))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18038), tc_List_Olist(_u18038)), _u18039), _u18039)), c_List_Olistrel(_u18038, c_Transitive__Closure_Ortrancl(_u18038, _u18040)))) )).
% 12.32/12.58 cnf(matrix-7318, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18041), tc_List_Olist(_u18041))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18041), tc_List_Olist(_u18041)), _u18042), _u18043)), c_List_Olistrel(_u18041, _u18044))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18041)), _u18042) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18041)), _u18043)) )).
% 12.32/12.58 cnf(matrix-7319, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18046), _u18047)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18047), _u18049)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18045), tc_List_Olist(_u18045))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18045), tc_List_Olist(_u18045)), _u18046), _u18049)), c_List_Olistrel(_u18045, c_Transitive__Closure_Ortrancl(_u18045, _u18048)))) )).
% 12.32/12.58 cnf(matrix-7320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18050, _u18050), tc_HOL_Obool)), _u18051), _u18052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18050), tc_List_Olist(_u18050)), tc_HOL_Obool)), c_List_Olistrel(_u18050, _u18051)), c_List_Olistrel(_u18050, _u18052))) )).
% 12.32/12.58 cnf(matrix-7321, plain, ( ~c_List_Olistrelp(_u18057, hAPP(hAPP(c_COMBC(_u18057, tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_fun(_u18057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18057, tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_fun(_u18057, tc_HOL_Obool)), _u18057), c_COMBC(_u18057, tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18057, tc_prod(_u18057, _u18057)), tc_fun(_u18057, tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool)), _u18057), hAPP(c_COMBB(tc_prod(_u18057, _u18057), tc_fun(tc_fun(tc_prod(_u18057, _u18057), tc_HOL_Obool), tc_HOL_Obool), _u18057), c_member(tc_prod(_u18057, _u18057)))), c_Product__Type_OPair(_u18057, _u18057)))), _u18059), _u18061, _u18063) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18057), tc_List_Olist(_u18057))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18057), tc_List_Olist(_u18057)), _u18061), _u18063)), c_List_Olistrel(_u18057, _u18059))) )).
% 12.32/12.58 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18058), tc_List_Olist(_u18058))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18058), tc_List_Olist(_u18058)), _u18062), _u18064)), c_List_Olistrel(_u18058, _u18060))) | c_List_Olistrelp(_u18058, hAPP(hAPP(c_COMBC(_u18058, tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_fun(_u18058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18058, tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_fun(_u18058, tc_HOL_Obool)), _u18058), c_COMBC(_u18058, tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18058, tc_prod(_u18058, _u18058)), tc_fun(_u18058, tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool)), _u18058), hAPP(c_COMBB(tc_prod(_u18058, _u18058), tc_fun(tc_fun(tc_prod(_u18058, _u18058), tc_HOL_Obool), tc_HOL_Obool), _u18058), c_member(tc_prod(_u18058, _u18058)))), c_Product__Type_OPair(_u18058, _u18058)))), _u18060), _u18062, _u18064) )).
% 12.32/12.58 cnf(matrix-7323, plain, ( ( hAPP(c_List_Olexn(_u18065, _u18066), hAPP(c_Nat_OSuc, _u18067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u18065, tc_List_Olist(_u18065)), tc_prod(_u18065, tc_List_Olist(_u18065))), tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_Product__Type_Omap__pair(tc_prod(_u18065, tc_List_Olist(_u18065)), tc_List_Olist(_u18065), tc_prod(_u18065, tc_List_Olist(_u18065)), tc_List_Olist(_u18065), hAPP(c_Product__Type_Oprod_Oprod__case(_u18065, tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_List_Olist_OCons(_u18065)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18065, tc_List_Olist(_u18065), tc_List_Olist(_u18065)), c_List_Olist_OCons(_u18065)))), c_Wellfounded_Olex__prod(_u18065, tc_List_Olist(_u18065), _u18066, hAPP(c_List_Olexn(_u18065, _u18066), _u18067)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18065), tc_List_Olist(_u18065))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18065), tc_List_Olist(_u18065), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18065), tc_HOL_Obool)), tc_List_Olist(_u18065)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18065))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18065)))), hAPP(c_Nat_OSuc, _u18067))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18065), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18065)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18065)))), hAPP(c_Nat_OSuc, _u18067))))))) )).
% 12.32/12.58 cnf(matrix-7324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18068)), _u18069)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18068)), _u18070))) | ( _u18069 != hAPP(hAPP(c_List_Olist_OCons(_u18068), _u18071), _u18070)) )).
% 12.32/12.58 cnf(matrix-7325, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(c_List_Oset(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18074), _u18075)))) | ( _u18073 = _u18074) | hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(c_List_Oset(_u18072), _u18075))) )).
% 12.32/12.58 cnf(matrix-7326, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18076, _u18077), hAPP(hAPP(c_List_Olist_OCons(_u18076), _u18078), _u18079)), hAPP(hAPP(c_List_Olist_OCons(_u18077), _u18080), _u18081)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18076, _u18077)), hAPP(hAPP(c_Product__Type_OPair(_u18076, _u18077), _u18078), _u18080)), hAPP(hAPP(c_List_Ozip(_u18076, _u18077), _u18079), _u18081))) )).
% 12.32/12.58 cnf(matrix-7327, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18082, tc_HOL_Obool)), hAPP(c_List_Oset(_u18082), _u18083)), hAPP(c_List_Oset(_u18082), hAPP(hAPP(c_List_Olist_OCons(_u18082), _u18084), _u18083)))) )).
% 12.32/12.58 cnf(matrix-7328, plain, ( ( hAPP(c_List_Oset(_u18085), hAPP(hAPP(c_List_Olist_OCons(_u18085), _u18086), _u18087)) = hAPP(hAPP(c_Set_Oinsert(_u18085), _u18086), hAPP(c_List_Oset(_u18085), _u18087))) )).
% 12.32/12.58 cnf(matrix-7329, plain, ( ( c_List_Ofoldr(_u18088, _u18089, _u18090, hAPP(hAPP(c_List_Olist_OCons(_u18088), _u18091), _u18092), _u18093) = hAPP(hAPP(_u18090, _u18091), c_List_Ofoldr(_u18088, _u18089, _u18090, _u18092, _u18093))) )).
% 12.32/12.58 cnf(matrix-7330, plain, ( ~hBOOL(hAPP(hAPP(_u18094, _u18095), _u18096)) | ~c_List_Olistrelp(_u18097, _u18094, _u18098, _u18099) | c_List_Olistrelp(_u18097, _u18094, hAPP(hAPP(c_List_Olist_OCons(_u18097), _u18095), _u18098), hAPP(hAPP(c_List_Olist_OCons(_u18097), _u18096), _u18099)) )).
% 12.32/12.58 cnf(matrix-7331, plain, ( ~c_List_Olistrelp(_u18106, _u18108, hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18110), _u18112), hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18114), _u18116)) | hBOOL(hAPP(hAPP(_u18108, _u18110), _u18114)) )).
% 12.32/12.58 cnf(matrix-7332, plain, ( ~c_List_Olistrelp(_u18106, _u18108, hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18110), _u18112), hAPP(hAPP(c_List_Olist_OCons(_u18106), _u18114), _u18116)) | c_List_Olistrelp(_u18106, _u18108, _u18112, _u18116) )).
% 12.32/12.58 cnf(matrix-7333, plain, ( ~hBOOL(hAPP(hAPP(_u18109, _u18111), _u18115)) | ~c_List_Olistrelp(_u18107, _u18109, _u18113, _u18117) | c_List_Olistrelp(_u18107, _u18109, hAPP(hAPP(c_List_Olist_OCons(_u18107), _u18111), _u18113), hAPP(hAPP(c_List_Olist_OCons(_u18107), _u18115), _u18117)) )).
% 12.32/12.58 cnf(matrix-7334, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18125), _u18127) != hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18129), _u18131)) | ( _u18125 = _u18129) )).
% 12.32/12.58 cnf(matrix-7335, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18125), _u18127) != hAPP(hAPP(c_List_Olist_OCons(_u18123), _u18129), _u18131)) | ( _u18127 = _u18131) )).
% 12.32/12.58 cnf(matrix-7336, plain, ( ( _u18126 != _u18130) | ( _u18128 != _u18132) | ( hAPP(hAPP(c_List_Olist_OCons(_u18124), _u18126), _u18128) = hAPP(hAPP(c_List_Olist_OCons(_u18124), _u18130), _u18132)) )).
% 12.32/12.58 cnf(matrix-7337, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18133), _u18134), _u18135) != _u18135) )).
% 12.32/12.58 cnf(matrix-7338, plain, ( ( _u18136 != hAPP(hAPP(c_List_Olist_OCons(_u18137), _u18138), _u18136)) )).
% 12.32/12.58 cnf(matrix-7339, plain, ( ( hAPP(hAPP(c_List_Omap(_u18139, _u18140), _u18141), hAPP(hAPP(c_List_Olist_OCons(_u18139), _u18142), _u18143)) = hAPP(hAPP(c_List_Olist_OCons(_u18140), hAPP(_u18141, _u18142)), hAPP(hAPP(c_List_Omap(_u18139, _u18140), _u18141), _u18143))) )).
% 12.32/12.58 cnf(matrix-7340, plain, ( ( _u18148 != _u18150) | ( c_List_Oremove1(_u18152, _u18148, hAPP(hAPP(c_List_Olist_OCons(_u18152), _u18150), _u18154)) = _u18154) )).
% 12.32/12.58 cnf(matrix-7341, plain, ( ( _u18149 = _u18151) | ( c_List_Oremove1(_u18153, _u18149, hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18151), _u18155)) = hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18151), c_List_Oremove1(_u18153, _u18149, _u18155))) )).
% 12.32/12.58 cnf(matrix-7342, plain, ( ~class_Orderings_Olinorder(_u18156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18156), hAPP(_u18157, _u18158)), hAPP(_u18157, _u18159))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161)) = hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161))) )).
% 12.32/12.58 cnf(matrix-7343, plain, ( ~class_Orderings_Olinorder(_u18156) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18156), hAPP(_u18157, _u18158)), hAPP(_u18157, _u18159))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), _u18161)) = hAPP(hAPP(c_List_Olist_OCons(_u18160), _u18159), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18160, _u18156, _u18157), _u18158), _u18161))) )).
% 12.32/12.58 cnf(matrix-7344, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18165), hAPP(hAPP(c_List_Olist_OCons(_u18165), _u18167), _u18169))) | ~hBOOL(hAPP(hAPP(c_member(_u18165), _u18167), hAPP(c_List_Oset(_u18165), _u18169))) )).
% 12.32/12.58 cnf(matrix-7345, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18165), hAPP(hAPP(c_List_Olist_OCons(_u18165), _u18167), _u18169))) | hBOOL(hAPP(c_List_Odistinct(_u18165), _u18169)) )).
% 12.32/12.58 cnf(matrix-7346, plain, ( hBOOL(hAPP(hAPP(c_member(_u18166), _u18168), hAPP(c_List_Oset(_u18166), _u18170))) | ~hBOOL(hAPP(c_List_Odistinct(_u18166), _u18170)) | hBOOL(hAPP(c_List_Odistinct(_u18166), hAPP(hAPP(c_List_Olist_OCons(_u18166), _u18168), _u18170))) )).
% 12.32/12.58 cnf(matrix-7347, plain, ( ( _u18177 != _u18179) | ( hAPP(c_Map_Omap__of(_u18181, _u18183, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18181, _u18183)), hAPP(hAPP(c_Product__Type_OPair(_u18181, _u18183), _u18177), _u18185)), _u18187)), _u18179) = hAPP(c_Option_Ooption_OSome(_u18183), _u18185)) )).
% 12.32/12.58 cnf(matrix-7348, plain, ( ( _u18178 = _u18180) | ( hAPP(c_Map_Omap__of(_u18182, _u18184, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18182, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18182, _u18184), _u18178), _u18186)), _u18188)), _u18180) = hAPP(c_Map_Omap__of(_u18182, _u18184, _u18188), _u18180)) )).
% 12.32/12.58 cnf(matrix-7349, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), hAPP(hAPP(c_List_Olist_OCons(_u18189), _u18190), _u18191)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), _u18191)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7350, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18192, _u18192)), hAPP(hAPP(c_Product__Type_OPair(_u18192, _u18192), _u18193), _u18194)), _u18195)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18192), tc_List_Olist(_u18192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), _u18196), _u18197)), c_List_Olistrel(_u18192, _u18195))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18192), tc_List_Olist(_u18192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), hAPP(hAPP(c_List_Olist_OCons(_u18192), _u18193), _u18196)), hAPP(hAPP(c_List_Olist_OCons(_u18192), _u18194), _u18197))), c_List_Olistrel(_u18192, _u18195))) )).
% 12.32/12.58 cnf(matrix-7351, plain, ( ( c_Map_Omap__of(_u18198, _u18199, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18198, _u18199)), _u18200), _u18201)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18198, tc_Option_Ooption(_u18199)), c_Map_Omap__of(_u18198, _u18199, _u18201)), hAPP(c_Product__Type_Ofst(_u18198, _u18199), _u18200)), hAPP(c_Option_Ooption_OSome(_u18199), hAPP(c_Product__Type_Osnd(_u18198, _u18199), _u18200)))) )).
% 12.32/12.58 cnf(matrix-7352, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18208, _u18208)), hAPP(hAPP(c_Product__Type_OPair(_u18208, _u18208), _u18210), _u18214)), _u18218)) | ( _u18210 = _u18214) )).
% 12.32/12.58 cnf(matrix-7353, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18208, _u18208)), hAPP(hAPP(c_Product__Type_OPair(_u18208, _u18208), _u18210), _u18214)), _u18218)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), _u18212), _u18216)), c_List_Olex(_u18208, _u18218))) )).
% 12.32/12.58 cnf(matrix-7354, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18212) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18216)) | ( _u18210 = _u18214) )).
% 12.32/12.58 cnf(matrix-7355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18210), _u18212)), hAPP(hAPP(c_List_Olist_OCons(_u18208), _u18214), _u18216))), c_List_Olex(_u18208, _u18218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18212) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18216)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18208), tc_List_Olist(_u18208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18208), tc_List_Olist(_u18208)), _u18212), _u18216)), c_List_Olex(_u18208, _u18218))) )).
% 12.32/12.58 cnf(matrix-7356, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18211), _u18213)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18215), _u18217))), c_List_Olex(_u18209, _u18219))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18209, _u18209)), hAPP(hAPP(c_Product__Type_OPair(_u18209, _u18209), _u18211), _u18215)), _u18219)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18209)), _u18213) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18209)), _u18217)) )).
% 12.32/12.58 cnf(matrix-7357, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18211), _u18213)), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18215), _u18217))), c_List_Olex(_u18209, _u18219))) | ( _u18211 != _u18215) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18209), tc_List_Olist(_u18209))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18209), tc_List_Olist(_u18209)), _u18213), _u18217)), c_List_Olex(_u18209, _u18219))) )).
% 12.32/12.58 cnf(matrix-7358, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18220), tc_List_Olist(_u18220), c_List_Olistrel(_u18220, _u18221)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18220)), hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18220), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18220, hAPP(c_Relation_OImage(_u18220, _u18220, _u18221), hAPP(hAPP(c_Set_Oinsert(_u18220), _u18222), c_Orderings_Obot__class_Obot(tc_fun(_u18220, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18220), tc_List_Olist(_u18220), c_List_Olistrel(_u18220, _u18221)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18220)), _u18223), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18220), tc_HOL_Obool)))))) )).
% 12.32/12.58 cnf(matrix-7359, plain, ( ( c_List_Oset__Cons(_u18224, _u18225, _u18226) = hAPP(c_Set_OCollect(tc_List_Olist(_u18224)), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18224)), c_HOL_OEx(_u18224)), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_HOL_Obool), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_HOL_Obool, _u18224), c_HOL_OEx(tc_List_Olist(_u18224)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_fun(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), c_COMBS(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18224, tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), _u18224), c_COMBS(tc_List_Olist(_u18224), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18224)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18224), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18224)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224))), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_fun(tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224))), tc_fun(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool))), tc_List_Olist(_u18224)), c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), _u18224)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_List_Olist(_u18224)), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), tc_List_Olist(_u18224)), c_COMBB(tc_List_Olist(_u18224), tc_HOL_Obool, tc_List_Olist(_u18224))), c_fequal))), c_List_Olist_OCons(_u18224)))))), hAPP(hAPP(c_COMBC(_u18224, tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool)), _u18224), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18224))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18224), c_fconj), hAPP(hAPP(c_COMBC(_u18224, tc_fun(_u18224, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18224)), _u18225)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18224), tc_fun(tc_List_Olist(_u18224), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18224))), _u18226))))))) )).
% 12.32/12.58 cnf(matrix-7360, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | ( _u18232 = hAPP(hAPP(c_List_Olist_OCons(_u18229), skolem456(_u18233, _u18232, _u18231, _u18230, _u18229)), skolem457(_u18233, _u18232, _u18231, _u18230, _u18229))) )).
% 12.32/12.58 cnf(matrix-7361, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18229, _u18229)), hAPP(hAPP(c_Product__Type_OPair(_u18229, _u18229), _u18230), skolem456(_u18233, _u18232, _u18231, _u18230, _u18229))), _u18233)) )).
% 12.32/12.58 cnf(matrix-7362, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), hAPP(hAPP(c_List_Olist_OCons(_u18229), _u18230), _u18231)), _u18232)), c_List_Olistrel(_u18229, _u18233))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18229), tc_List_Olist(_u18229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18229), tc_List_Olist(_u18229)), _u18231), skolem457(_u18233, _u18232, _u18231, _u18230, _u18229))), c_List_Olistrel(_u18229, _u18233))) )).
% 12.32/12.58 cnf(matrix-7363, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | ( _u18237 = hAPP(hAPP(c_List_Olist_OCons(_u18236), skolem458(_u18240, _u18239, _u18238, _u18237, _u18236)), skolem459(_u18240, _u18239, _u18238, _u18237, _u18236))) )).
% 12.32/12.58 cnf(matrix-7364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18236, _u18236)), hAPP(hAPP(c_Product__Type_OPair(_u18236, _u18236), skolem458(_u18240, _u18239, _u18238, _u18237, _u18236)), _u18238)), _u18240)) )).
% 12.32/12.58 cnf(matrix-7365, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), _u18237), hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18238), _u18239))), c_List_Olistrel(_u18236, _u18240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18236), tc_List_Olist(_u18236))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18236), tc_List_Olist(_u18236)), skolem459(_u18240, _u18239, _u18238, _u18237, _u18236)), _u18239)), c_List_Olistrel(_u18236, _u18240))) )).
% 12.32/12.58 cnf(matrix-7366, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), c_List_Osublist(_u18241, _u18242, _u18243)) = 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(_u18241)), _u18242)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18243))))) )).
% 12.32/12.58 cnf(matrix-7367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18248), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18250), _u18252))) | ( hAPP(c_Random_Opick(_u18250, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18250)), _u18252), _u18254)), _u18248) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18250), _u18252)) )).
% 12.32/12.58 cnf(matrix-7368, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18249), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18251), _u18253))) | ( hAPP(c_Random_Opick(_u18251, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18251)), _u18253), _u18255)), _u18249) = hAPP(c_Random_Opick(_u18251, _u18255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18249), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18251), _u18253)))) )).
% 12.32/12.58 cnf(matrix-7369, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18256), _u18257)) | hBOOL(hAPP(c_List_Odistinct(_u18256), c_List_Osublist(_u18256, _u18257, _u18258))) )).
% 12.32/12.58 cnf(matrix-7370, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18259), _u18260), hAPP(c_List_Oset(_u18259), c_List_Osublist(_u18259, _u18261, _u18262)))) | hBOOL(hAPP(hAPP(c_member(_u18259), _u18260), hAPP(c_List_Oset(_u18259), _u18261))) )).
% 12.32/12.58 cnf(matrix-7371, plain, ( hBOOL(hAPP(hAPP(c_member(_u18263), _u18264), hAPP(c_List_Oset(_u18263), _u18265))) | ~hBOOL(hAPP(hAPP(c_member(_u18263), _u18264), hAPP(c_List_Oset(_u18263), c_List_Osublist(_u18263, _u18265, _u18266)))) )).
% 12.32/12.58 cnf(matrix-7372, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18267, tc_HOL_Obool)), hAPP(c_List_Oset(_u18267), c_List_Osublist(_u18267, _u18268, _u18269))), hAPP(c_List_Oset(_u18267), _u18268))) )).
% 12.32/12.58 cnf(matrix-7373, plain, ( ( c_Random_Oselect__weight(_u18270, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18270)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18270), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18271)), _u18272)) = c_Random_Oselect__weight(_u18270, _u18272)) )).
% 12.32/12.58 cnf(matrix-7374, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18273), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18274), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18274)), _u18275)))) | hBOOL(hAPP(hAPP(c_member(_u18274), hAPP(c_Random_Opick(_u18274, _u18275), _u18273)), hAPP(c_List_Oset(_u18274), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18274), _u18274), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18274)), _u18275)))) )).
% 12.32/12.58 cnf(matrix-7375, plain, ( ~class_Groups_Omonoid__add(_u18276) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18276), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18277), _u18278)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18276), _u18277), hAPP(c_List_Omonoid__add__class_Olistsum(_u18276), _u18278))) )).
% 12.32/12.58 cnf(matrix-7376, plain, ( ~class_Groups_Oab__group__add(_u18279) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), hAPP(hAPP(c_COMBS(_u18280, _u18279, _u18279), hAPP(hAPP(c_COMBB(_u18279, tc_fun(_u18279, _u18279), _u18280), c_Groups_Ominus__class_Ominus(_u18279)), _u18281)), _u18282)), _u18283)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18279), hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), _u18281), _u18283))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18279), hAPP(hAPP(c_List_Omap(_u18280, _u18279), _u18282), _u18283)))) )).
% 12.32/12.58 cnf(matrix-7377, plain, ( ~class_Rings_Osemiring__0(_u18284) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18284), hAPP(hAPP(c_List_Omap(_u18285, _u18284), hAPP(hAPP(c_COMBC(_u18285, _u18284, _u18284), hAPP(hAPP(c_COMBB(_u18284, tc_fun(_u18284, _u18284), _u18285), c_Groups_Otimes__class_Otimes(_u18284)), _u18286)), _u18287)), _u18288)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18284), hAPP(c_List_Omonoid__add__class_Olistsum(_u18284), hAPP(hAPP(c_List_Omap(_u18285, _u18284), _u18286), _u18288))), _u18287)) )).
% 12.32/12.58 cnf(matrix-7378, plain, ( ~class_Rings_Osemiring__0(_u18289) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18289), hAPP(hAPP(c_List_Omap(_u18290, _u18289), hAPP(hAPP(c_COMBB(_u18289, _u18289, _u18290), hAPP(c_Groups_Otimes__class_Otimes(_u18289), _u18291)), _u18292)), _u18293)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18289), _u18291), hAPP(c_List_Omonoid__add__class_Olistsum(_u18289), hAPP(hAPP(c_List_Omap(_u18290, _u18289), _u18292), _u18293)))) )).
% 12.32/12.58 cnf(matrix-7379, plain, ( ~class_Groups_Ocomm__monoid__add(_u18294) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), hAPP(hAPP(c_COMBS(_u18295, _u18294, _u18294), hAPP(hAPP(c_COMBB(_u18294, tc_fun(_u18294, _u18294), _u18295), c_Groups_Oplus__class_Oplus(_u18294)), _u18296)), _u18297)), _u18298)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18294), hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), _u18296), _u18298))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18294), hAPP(hAPP(c_List_Omap(_u18295, _u18294), _u18297), _u18298)))) )).
% 12.32/12.58 cnf(matrix-7380, plain, ( ~class_Groups_Omonoid__add(_u18299) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), hAPP(c_COMBK(_u18299, _u18300), c_Groups_Ozero__class_Ozero(_u18299))), _u18301)) = c_Groups_Ozero__class_Ozero(_u18299)) )).
% 12.32/12.58 cnf(matrix-7381, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u18302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18302), hAPP(c_Groups_Oabs__class_Oabs(_u18302), hAPP(c_List_Omonoid__add__class_Olistsum(_u18302), _u18303))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18302), hAPP(hAPP(c_List_Omap(_u18302, _u18302), c_Groups_Oabs__class_Oabs(_u18302)), _u18303)))) )).
% 12.32/12.58 cnf(matrix-7382, plain, ( ~class_Groups_Oab__group__add(_u18304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18304), hAPP(c_List_Omonoid__add__class_Olistsum(_u18304), hAPP(hAPP(c_List_Omap(_u18305, _u18304), _u18306), _u18307))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18304), hAPP(hAPP(c_List_Omap(_u18305, _u18304), hAPP(c_Fun_Ocomp(_u18304, _u18304, _u18305, c_Groups_Ouminus__class_Ouminus(_u18304)), _u18306)), _u18307))) )).
% 12.32/12.58 cnf(matrix-7383, plain, ( ~class_Groups_Ocomm__monoid__add(_u18308) | ~hBOOL(hAPP(c_List_Odistinct(_u18308), _u18309)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18308), _u18309) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18308, _u18308), c_COMBI(_u18308)), hAPP(c_List_Oset(_u18308), _u18309))) )).
% 12.32/12.58 cnf(matrix-7384, plain, ( ( c_Random_Oselect__weight(_u18310, _u18311) = 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(_u18310, 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, _u18310), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18310)), _u18311)))), hAPP(hAPP(c_COMBB(_u18310, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18310, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18310, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18310, _u18311)))) )).
% 12.32/12.58 cnf(matrix-7385, plain, ( ~class_Groups_Ocomm__monoid__add(_u18312) | ~hBOOL(hAPP(c_List_Odistinct(_u18313), _u18314)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18312), hAPP(hAPP(c_List_Omap(_u18313, _u18312), _u18315), _u18314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18313, _u18312), _u18315), hAPP(c_List_Oset(_u18313), _u18314))) )).
% 12.32/12.58 cnf(matrix-7386, plain, ( ~class_Groups_Ocomm__monoid__add(_u18316) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18316), _u18317), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18318, _u18319))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18316), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18316), _u18317), c_List_Oupto(_u18318, _u18319)))) )).
% 12.32/12.58 cnf(matrix-7387, plain, ( ~class_Groups_Ocomm__monoid__add(_u18320) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18320), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18320), _u18321), c_List_Oupto(_u18322, _u18323))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18320), _u18321), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18322, _u18323)))) )).
% 12.32/12.58 cnf(matrix-7388, plain, ( ~class_Rings_Osemiring__1(_u18324) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18324), hAPP(hAPP(c_List_Omap(_u18325, _u18324), hAPP(c_COMBK(_u18324, _u18325), _u18326)), _u18327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18324), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18324), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18325)), _u18327))), _u18326)) )).
% 12.32/12.58 cnf(matrix-7389, plain, ( ~class_Groups_Ocomm__monoid__add(_u18328) | ~hBOOL(hAPP(hAPP(c_member(_u18329), _u18330), hAPP(c_List_Oset(_u18329), _u18331))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18328), hAPP(hAPP(c_List_Omap(_u18329, _u18328), _u18332), _u18331)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18328), hAPP(_u18332, _u18330)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18328), hAPP(hAPP(c_List_Omap(_u18329, _u18328), _u18332), c_List_Oremove1(_u18329, _u18330, _u18331))))) )).
% 12.32/12.58 cnf(matrix-7390, 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, _u18333), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18333)), _u18334)))) | hBOOL(hAPP(hAPP(c_member(_u18333), hAPP(c_Product__Type_Ofst(_u18333, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18333, _u18334), _u18335))), hAPP(c_List_Oset(_u18333), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18333), _u18333), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18333)), _u18334)))) )).
% 12.32/12.58 cnf(matrix-7391, plain, ( ~class_Groups_Ocomm__monoid__add(_u18336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18337), _u18338)) | ( c_Nitpick_Osetsum_H(_u18337, _u18336, _u18339, _u18338) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18336), hAPP(hAPP(c_List_Omap(_u18337, _u18336), _u18339), c_Hilbert__Choice_OEps(tc_List_Olist(_u18337), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18337), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18337)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18337), tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18337, tc_HOL_Obool), tc_fun(tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18337)), c_fequal), c_List_Oset(_u18337))), _u18338))), c_List_Odistinct(_u18337)))))) )).
% 12.32/12.58 cnf(matrix-7392, plain, ( ~class_Groups_Ocomm__monoid__add(_u18336) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18337), _u18338)) | ( c_Nitpick_Osetsum_H(_u18337, _u18336, _u18339, _u18338) = c_Groups_Ozero__class_Ozero(_u18336)) )).
% 12.32/12.58 cnf(matrix-7393, 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), _u18340), _u18341))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18340), _u18341)) | ( c_List_Oupto(_u18340, _u18341) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18340), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18340), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18341))) )).
% 12.32/12.58 cnf(matrix-7394, 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), _u18340), _u18341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18340), _u18341)) | ( c_List_Oupto(_u18340, _u18341) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.58 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18342), tc_List_Olist(_u18342))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18342), tc_List_Olist(_u18342)), _u18343), c_List_Olist_ONil(_u18342))), c_List_Olistrel(_u18342, _u18344))) | ( _u18343 = c_List_Olist_ONil(_u18342)) )).
% 12.32/12.58 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18345), tc_List_Olist(_u18345))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18345), tc_List_Olist(_u18345)), c_List_Olist_ONil(_u18345)), _u18346)), c_List_Olistrel(_u18345, _u18347))) | ( _u18346 = c_List_Olist_ONil(_u18345)) )).
% 12.32/12.58 cnf(matrix-7397, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18351) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18348), hAPP(c_List_Oset(tc_Nat_Onat), _u18351))) | ( _u18348 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7398, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18352) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem460(_u18352)), hAPP(c_List_Oset(tc_Nat_Onat), _u18352))) )).
% 12.32/12.58 cnf(matrix-7399, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18352) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem460(_u18352) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7400, plain, ( ~class_Groups_Omonoid__add(_u18353) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18353), c_List_Olist_ONil(_u18353)) = c_Groups_Ozero__class_Ozero(_u18353)) )).
% 12.32/12.58 cnf(matrix-7401, plain, ( ( _u18364 = c_List_Olist_ONil(_u18360)) | ( c_List_Olist_ONil(_u18358) != hAPP(hAPP(c_List_Omap(_u18360, _u18358), _u18362), _u18364)) )).
% 12.32/12.58 cnf(matrix-7402, plain, ( ( _u18365 != c_List_Olist_ONil(_u18361)) | ( c_List_Olist_ONil(_u18359) = hAPP(hAPP(c_List_Omap(_u18361, _u18359), _u18363), _u18365)) )).
% 12.32/12.58 cnf(matrix-7403, plain, ( ( hAPP(hAPP(c_List_Omap(_u18366, _u18367), _u18368), c_List_Olist_ONil(_u18366)) = c_List_Olist_ONil(_u18367)) )).
% 12.32/12.58 cnf(matrix-7404, plain, ( ( hAPP(hAPP(c_List_Omap(_u18373, _u18375), _u18377), _u18379) != c_List_Olist_ONil(_u18375)) | ( _u18379 = c_List_Olist_ONil(_u18373)) )).
% 12.32/12.58 cnf(matrix-7405, plain, ( ( _u18380 != c_List_Olist_ONil(_u18374)) | ( hAPP(hAPP(c_List_Omap(_u18374, _u18376), _u18378), _u18380) = c_List_Olist_ONil(_u18376)) )).
% 12.32/12.58 cnf(matrix-7406, plain, ( c_List_Olistrelp(_u18381, _u18382, c_List_Olist_ONil(_u18381), c_List_Olist_ONil(_u18381)) )).
% 12.32/12.58 cnf(matrix-7407, plain, ( c_List_Olistrelp(_u18383, _u18384, c_List_Olist_ONil(_u18383), c_List_Olist_ONil(_u18383)) )).
% 12.32/12.58 cnf(matrix-7408, plain, ( ~class_Orderings_Olinorder(_u18385) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18386, _u18385, _u18387), _u18388), _u18389) != c_List_Olist_ONil(_u18386)) )).
% 12.32/12.58 cnf(matrix-7409, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18390), c_List_Olist_ONil(_u18390))) )).
% 12.32/12.58 cnf(matrix-7410, plain, ( ( c_List_Oremove1(_u18391, _u18392, c_List_Olist_ONil(_u18391)) = c_List_Olist_ONil(_u18391)) )).
% 12.32/12.58 cnf(matrix-7411, plain, ( ( c_List_Ofoldr(_u18393, _u18394, _u18395, c_List_Olist_ONil(_u18393), _u18396) = _u18396) )).
% 12.32/12.58 cnf(matrix-7412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18397), _u18398)) | ( c_List_Oupto(_u18398, _u18397) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.58 cnf(matrix-7413, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18399, _u18400), _u18401), c_List_Olist_ONil(_u18400)) = c_List_Olist_ONil(tc_prod(_u18399, _u18400))) )).
% 12.32/12.58 cnf(matrix-7414, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18402, _u18403), c_List_Olist_ONil(_u18402)), _u18404) = c_List_Olist_ONil(tc_prod(_u18402, _u18403))) )).
% 12.32/12.58 cnf(matrix-7415, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18407)), _u18409) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18409 = c_List_Olist_ONil(_u18407)) )).
% 12.32/12.58 cnf(matrix-7416, plain, ( ( _u18410 != c_List_Olist_ONil(_u18408)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18408)), _u18410) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7417, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18411)), c_List_Olist_ONil(_u18411)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7418, plain, ( ~class_Orderings_Olinorder(_u18412) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18412, c_Orderings_Obot__class_Obot(tc_fun(_u18412, tc_HOL_Obool))) = c_List_Olist_ONil(_u18412)) )).
% 12.32/12.58 cnf(matrix-7419, plain, ( ( hAPP(c_List_Oset(_u18413), c_List_Olist_ONil(_u18413)) = c_Orderings_Obot__class_Obot(tc_fun(_u18413, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7420, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18416, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18416), _u18418)) | ( _u18418 = c_List_Olist_ONil(_u18416)) )).
% 12.32/12.58 cnf(matrix-7421, plain, ( ( _u18419 != c_List_Olist_ONil(_u18417)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18417, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18417), _u18419)) )).
% 12.32/12.58 cnf(matrix-7422, plain, ( ( hAPP(c_List_Oset(_u18422), _u18424) != c_Orderings_Obot__class_Obot(tc_fun(_u18422, tc_HOL_Obool))) | ( _u18424 = c_List_Olist_ONil(_u18422)) )).
% 12.32/12.58 cnf(matrix-7423, plain, ( ( _u18425 != c_List_Olist_ONil(_u18423)) | ( hAPP(c_List_Oset(_u18423), _u18425) = c_Orderings_Obot__class_Obot(tc_fun(_u18423, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7424, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18426), _u18427), _u18428) != c_List_Olist_ONil(_u18426)) )).
% 12.32/12.58 cnf(matrix-7425, plain, ( ( c_List_Olist_ONil(_u18429) != hAPP(hAPP(c_List_Olist_OCons(_u18429), _u18430), _u18431)) )).
% 12.32/12.58 cnf(matrix-7426, plain, ( ~class_Orderings_Olinorder(_u18432) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18433, _u18432, _u18434), _u18435), c_List_Olist_ONil(_u18433)) = hAPP(hAPP(c_List_Olist_OCons(_u18433), _u18435), c_List_Olist_ONil(_u18433))) )).
% 12.32/12.58 cnf(matrix-7427, plain, ( ( c_List_Osublist(_u18436, _u18437, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18436)) )).
% 12.32/12.58 cnf(matrix-7428, plain, ( ( c_List_Osublist(_u18438, c_List_Olist_ONil(_u18438), _u18439) = c_List_Olist_ONil(_u18438)) )).
% 12.32/12.58 cnf(matrix-7429, 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(_u18442)), _u18444))) | ( _u18444 != c_List_Olist_ONil(_u18442)) )).
% 12.32/12.58 cnf(matrix-7430, plain, ( ( _u18445 = c_List_Olist_ONil(_u18443)) | 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(_u18443)), _u18445))) )).
% 12.32/12.58 cnf(matrix-7431, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18446), tc_List_Olist(_u18446))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18446), tc_List_Olist(_u18446)), c_List_Olist_ONil(_u18446)), c_List_Olist_ONil(_u18446))), c_List_Olistrel(_u18446, _u18447))) )).
% 12.32/12.58 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18448), tc_List_Olist(_u18448))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18448), tc_List_Olist(_u18448)), c_List_Olist_ONil(_u18448)), _u18449)), c_List_Olex(_u18448, _u18450))) )).
% 12.32/12.58 cnf(matrix-7433, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18451), tc_List_Olist(_u18451))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18451), tc_List_Olist(_u18451)), _u18452), c_List_Olist_ONil(_u18451))), c_List_Olex(_u18451, _u18453))) )).
% 12.32/12.58 cnf(matrix-7434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18456), _u18458)) | ( c_List_Oupto(_u18456, _u18458) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18456), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18456), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18458))) )).
% 12.32/12.58 cnf(matrix-7435, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18457), _u18459)) | ( c_List_Oupto(_u18457, _u18459) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.58 cnf(matrix-7436, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18463)) | ( c_List_Osublist(_u18465, hAPP(hAPP(c_List_Olist_OCons(_u18465), _u18467), c_List_Olist_ONil(_u18465)), _u18463) = hAPP(hAPP(c_List_Olist_OCons(_u18465), _u18467), c_List_Olist_ONil(_u18465))) )).
% 12.32/12.58 cnf(matrix-7437, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18464)) | ( c_List_Osublist(_u18466, hAPP(hAPP(c_List_Olist_OCons(_u18466), _u18468), c_List_Olist_ONil(_u18466)), _u18464) = c_List_Olist_ONil(_u18466)) )).
% 12.32/12.58 cnf(matrix-7438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18471)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18473)))) )).
% 12.32/12.58 cnf(matrix-7439, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18472)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18474))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18472), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18474)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.32/12.58 cnf(matrix-7440, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18475), tc_List_Olist(_u18475), c_List_Olistrel(_u18475, _u18476)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18475)), c_List_Olist_ONil(_u18475)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18475), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18475)), c_List_Olist_ONil(_u18475)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18475), tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7441, plain, ( ( c_List_Oset__Cons(_u18477, _u18478, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18477)), c_List_Olist_ONil(_u18477)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18477), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18477, tc_List_Olist(_u18477), hAPP(hAPP(c_COMBC(_u18477, tc_List_Olist(_u18477), tc_List_Olist(_u18477)), c_List_Olist_OCons(_u18477)), c_List_Olist_ONil(_u18477))), _u18478)) )).
% 12.32/12.58 cnf(matrix-7442, plain, ( ( _u18479 = c_List_Olist_ONil(_u18480)) | ( c_Random_Oselect__weight(_u18480, hAPP(hAPP(c_List_Omap(_u18480, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18480)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18480), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18479)) = c_Random_Oselect(_u18480, _u18479)) )).
% 12.32/12.58 cnf(matrix-7443, plain, ( ( _u18481 = c_List_Olist_ONil(_u18482)) | hBOOL(hAPP(hAPP(c_member(_u18482), hAPP(c_Product__Type_Ofst(_u18482, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18482, _u18481), _u18483))), hAPP(c_List_Oset(_u18482), _u18481))) )).
% 12.32/12.58 cnf(matrix-7444, plain, ( ( hAPP(c_Map_Omap__of(_u18484, _u18485, c_List_Olist_ONil(tc_prod(_u18484, _u18485))), _u18486) = c_Option_Ooption_ONone(_u18485)) )).
% 12.32/12.58 cnf(matrix-7445, plain, ( ( hAPP(c_Map_Omap__of(_u18487, _u18488, c_List_Olist_ONil(tc_prod(_u18487, _u18488))), _u18489) = c_Option_Ooption_ONone(_u18488)) )).
% 12.32/12.58 cnf(matrix-7446, plain, ( ( _u18495 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18497, _u18499, _u18501, _u18495), _u18503) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18499), _u18497), c_List_Olist_ONil(_u18499)), _u18503)) )).
% 12.32/12.58 cnf(matrix-7447, plain, ( ( _u18496 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18498, _u18500, _u18502, _u18496), _u18504) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(_u18500, _u18498), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18500), _u18498), c_List_Olist_ONil(_u18500)), _u18504), hAPP(c_Product__Type_Oprod_Oprod__case(_u18500, _u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), hAPP(hAPP(c_COMBC(_u18500, tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), _u18500), c_COMBB(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498), _u18498)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), tc_fun(tc_prod(tc_List_Olist(_u18500), _u18498), tc_prod(tc_List_Olist(_u18500), _u18498)), _u18500), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18500), _u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18500), tc_List_Olist(_u18500)), tc_fun(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498))), _u18500), hAPP(c_COMBB(tc_List_Olist(_u18500), tc_fun(_u18498, tc_prod(tc_List_Olist(_u18500), _u18498)), tc_List_Olist(_u18500)), c_Product__Type_OPair(tc_List_Olist(_u18500), _u18498))), c_List_Olist_OCons(_u18500))))), c_Lazy__Sequence_Oanamorph(_u18498, _u18500, _u18502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18496), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18502, _u18504))) )).
% 12.32/12.58 cnf(matrix-7448, plain, ( ( c_List_Olistset(_u18505, c_List_Olist_ONil(tc_fun(_u18505, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18505)), c_List_Olist_ONil(_u18505)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18505), tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7449, plain, ( ( c_List_Olistset(_u18506, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18506, tc_HOL_Obool)), _u18507), _u18508)) = c_List_Oset__Cons(_u18506, _u18507, c_List_Olistset(_u18506, _u18508))) )).
% 12.32/12.58 cnf(matrix-7450, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18509, _u18510), hAPP(hAPP(c_List_Olist_OCons(_u18509), _u18511), _u18512)), _u18513) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18509, _u18510)), _u18510, c_List_Olist_ONil(tc_prod(_u18509, _u18510)), hAPP(hAPP(c_COMBC(_u18510, tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510))), tc_fun(tc_List_Olist(_u18510), tc_List_Olist(tc_prod(_u18509, _u18510)))), _u18510), c_COMBB(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(_u18510))), hAPP(hAPP(c_COMBB(tc_prod(_u18509, _u18510), tc_fun(tc_List_Olist(tc_prod(_u18509, _u18510)), tc_List_Olist(tc_prod(_u18509, _u18510))), _u18510), c_List_Olist_OCons(tc_prod(_u18509, _u18510))), hAPP(c_Product__Type_OPair(_u18509, _u18510), _u18511)))), hAPP(c_List_Ozip(_u18509, _u18510), _u18512))), _u18513)) )).
% 12.32/12.58 cnf(matrix-7451, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18514, _u18515), _u18516), hAPP(hAPP(c_List_Olist_OCons(_u18515), _u18517), _u18518)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18514, _u18515)), _u18514, c_List_Olist_ONil(tc_prod(_u18514, _u18515)), hAPP(hAPP(c_COMBC(_u18514, tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515))), tc_fun(tc_List_Olist(_u18514), tc_List_Olist(tc_prod(_u18514, _u18515)))), _u18514), c_COMBB(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(_u18514))), hAPP(hAPP(c_COMBB(tc_prod(_u18514, _u18515), tc_fun(tc_List_Olist(tc_prod(_u18514, _u18515)), tc_List_Olist(tc_prod(_u18514, _u18515))), _u18514), c_List_Olist_OCons(tc_prod(_u18514, _u18515))), hAPP(hAPP(c_COMBC(_u18514, _u18515, tc_prod(_u18514, _u18515)), c_Product__Type_OPair(_u18514, _u18515)), _u18517)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18514), tc_List_Olist(_u18515), tc_List_Olist(tc_prod(_u18514, _u18515))), c_List_Ozip(_u18514, _u18515)), _u18518))), _u18516)) )).
% 12.32/12.58 cnf(matrix-7452, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18519, _u18520, _u18521, _u18522), hAPP(hAPP(c_List_Olist_OCons(_u18520), _u18523), _u18524)) = hAPP(hAPP(_u18522, _u18523), _u18524)) )).
% 12.32/12.58 cnf(matrix-7453, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18525, _u18526, _u18527, _u18528), c_List_Olist_ONil(_u18526)) = _u18527) )).
% 12.32/12.58 cnf(matrix-7454, plain, ( ( c_Random_Oselect(_u18529, _u18530) = 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(_u18529, 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(_u18529)), _u18530)))), hAPP(hAPP(c_COMBB(_u18529, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18529, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18529), _u18530)), c_Code__Numeral_Onat__of)))) )).
% 12.32/12.58 cnf(matrix-7455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18532)), _u18533))) | ( hAPP(c_Random_Opick(_u18532, hAPP(hAPP(c_List_Omap(_u18532, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18532)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18532), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18533)), hAPP(c_Code__Numeral_Oof__nat, _u18531)) = hAPP(hAPP(c_List_Onth(_u18532), _u18533), _u18531)) )).
% 12.32/12.58 cnf(matrix-7456, plain, ( ( hAPP(hAPP(c_List_Onth(_u18534), hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18535), _u18536)), hAPP(c_Nat_OSuc, _u18537)) = hAPP(hAPP(c_List_Onth(_u18534), _u18536), _u18537)) )).
% 12.32/12.58 cnf(matrix-7457, plain, ( ( hAPP(hAPP(c_List_Onth(_u18538), hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18539), _u18540)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18539) )).
% 12.32/12.58 cnf(matrix-7458, plain, ( ( hAPP(hAPP(c_List_Onth(_u18541), hAPP(hAPP(c_List_Olist_OCons(_u18541), _u18542), _u18543)), _u18544) = c_Nat_Onat_Onat__case(_u18541, _u18542, hAPP(c_List_Onth(_u18541), _u18543), _u18544)) )).
% 12.32/12.58 cnf(matrix-7459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18546)), _u18547))) | ( hAPP(hAPP(c_List_Onth(_u18548), hAPP(hAPP(c_List_Omap(_u18546, _u18548), _u18549), _u18547)), _u18545) = hAPP(_u18549, hAPP(hAPP(c_List_Onth(_u18546), _u18547), _u18545))) )).
% 12.32/12.58 cnf(matrix-7460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18551), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18557)), _u18559))) | hBOOL(hAPP(_u18561, hAPP(hAPP(c_List_Onth(_u18557), _u18559), _u18551))) | hBOOL(hAPP(hAPP(c_member(_u18557), skolem461(_u18561, _u18559, _u18557)), hAPP(c_List_Oset(_u18557), _u18559))) )).
% 12.32/12.58 cnf(matrix-7461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18551), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18557)), _u18559))) | hBOOL(hAPP(_u18561, hAPP(hAPP(c_List_Onth(_u18557), _u18559), _u18551))) | ~hBOOL(hAPP(_u18561, skolem461(_u18561, _u18559, _u18557))) )).
% 12.32/12.58 cnf(matrix-7462, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18558), _u18553), hAPP(c_List_Oset(_u18558), _u18560))) | hBOOL(hAPP(_u18562, _u18553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18562, _u18560, _u18558)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18558)), _u18560))) )).
% 12.32/12.58 cnf(matrix-7463, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18558), _u18553), hAPP(c_List_Oset(_u18558), _u18560))) | hBOOL(hAPP(_u18562, _u18553)) | ~hBOOL(hAPP(_u18562, hAPP(hAPP(c_List_Onth(_u18558), _u18560), skolem462(_u18562, _u18560, _u18558)))) )).
% 12.32/12.58 cnf(matrix-7464, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18563), _u18564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18565), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18566), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ( hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18565) != hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18566)) | ( _u18565 = _u18566) )).
% 12.32/12.58 cnf(matrix-7465, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18563), _u18564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18565), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18566), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18563)), _u18564))) | ( _u18565 != _u18566) | ( hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18565) = hAPP(hAPP(c_List_Onth(_u18563), _u18564), _u18566)) )).
% 12.32/12.58 cnf(matrix-7466, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18573), _u18575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18568), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18573)), _u18575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18567), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18573)), _u18575))) | ( _u18568 = _u18567) | ( hAPP(hAPP(c_List_Onth(_u18573), _u18575), _u18568) != hAPP(hAPP(c_List_Onth(_u18573), _u18575), _u18567)) )).
% 12.32/12.58 cnf(matrix-7467, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18576, _u18574)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18576))) )).
% 12.32/12.58 cnf(matrix-7468, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18576, _u18574)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18576))) )).
% 12.32/12.58 cnf(matrix-7469, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | ( skolem463(_u18576, _u18574) != skolem464(_u18576, _u18574)) )).
% 12.32/12.58 cnf(matrix-7470, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18574), _u18576)) | ( hAPP(hAPP(c_List_Onth(_u18574), _u18576), skolem463(_u18576, _u18574)) = hAPP(hAPP(c_List_Onth(_u18574), _u18576), skolem464(_u18576, _u18574))) )).
% 12.32/12.58 cnf(matrix-7471, plain, ( ( _u18582 != _u18584) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18582) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18584)) )).
% 12.32/12.58 cnf(matrix-7472, plain, ( ( _u18582 != _u18584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18577), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18582))) | ( hAPP(hAPP(c_List_Onth(_u18586), _u18582), _u18577) = hAPP(hAPP(c_List_Onth(_u18586), _u18584), _u18577)) )).
% 12.32/12.58 cnf(matrix-7473, plain, ( ( _u18583 = _u18585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18587, _u18585, _u18583)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583))) )).
% 12.32/12.58 cnf(matrix-7474, plain, ( ( _u18583 = _u18585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18583) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18587)), _u18585)) | ( hAPP(hAPP(c_List_Onth(_u18587), _u18583), skolem465(_u18587, _u18585, _u18583)) != hAPP(hAPP(c_List_Onth(_u18587), _u18585), skolem465(_u18587, _u18585, _u18583))) )).
% 12.32/12.58 cnf(matrix-7475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18588), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18589)), _u18590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18588), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18591)), _u18592))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18589, _u18591)), hAPP(hAPP(c_List_Ozip(_u18589, _u18591), _u18590), _u18592)), _u18588) = hAPP(hAPP(c_Product__Type_OPair(_u18589, _u18591), hAPP(hAPP(c_List_Onth(_u18589), _u18590), _u18588)), hAPP(hAPP(c_List_Onth(_u18591), _u18592), _u18588))) )).
% 12.32/12.58 cnf(matrix-7476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18594), _u18593)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18594))) )).
% 12.32/12.58 cnf(matrix-7477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18595), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18596)), _u18597))) | hBOOL(hAPP(hAPP(c_member(_u18596), hAPP(hAPP(c_List_Onth(_u18596), _u18597), _u18595)), hAPP(c_List_Oset(_u18596), _u18597))) )).
% 12.32/12.58 cnf(matrix-7478, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18603), _u18605), hAPP(c_List_Oset(_u18603), _u18607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18607, _u18605, _u18603)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18603)), _u18607))) )).
% 12.32/12.58 cnf(matrix-7479, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18603), _u18605), hAPP(c_List_Oset(_u18603), _u18607))) | ( hAPP(hAPP(c_List_Onth(_u18603), _u18607), skolem466(_u18607, _u18605, _u18603)) = _u18605) )).
% 12.32/12.58 cnf(matrix-7480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), _u18608))) | ( hAPP(hAPP(c_List_Onth(_u18604), _u18608), _u18599) != _u18606) | hBOOL(hAPP(hAPP(c_member(_u18604), _u18606), hAPP(c_List_Oset(_u18604), _u18608))) )).
% 12.32/12.58 cnf(matrix-7481, plain, ( ( _u18613 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18615), hAPP(hAPP(c_List_Olist_OCons(_u18615), _u18617), _u18619)), _u18613) = _u18617) )).
% 12.32/12.58 cnf(matrix-7482, plain, ( ( _u18614 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18616), hAPP(hAPP(c_List_Olist_OCons(_u18616), _u18618), _u18620)), _u18614) = hAPP(hAPP(c_List_Onth(_u18616), _u18620), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18614), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7483, plain, ( ( hAPP(c_List_Oset(_u18621), _u18622) = hAPP(c_Set_OCollect(_u18621), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18621), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18621, 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)), _u18621), 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)), _u18621), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18621, tc_fun(tc_Nat_Onat, _u18621), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18621, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18621), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18621), c_COMBB(_u18621, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18621), _u18622))))), 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(_u18621)), _u18622)))))) )).
% 12.32/12.58 cnf(matrix-7484, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18627) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18629), hAPP(hAPP(c_List_Olist_OCons(_u18629), _u18631), _u18633)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18627)) = _u18631) )).
% 12.32/12.58 cnf(matrix-7485, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18630), hAPP(hAPP(c_List_Olist_OCons(_u18630), _u18632), _u18634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628)) = hAPP(hAPP(c_List_Onth(_u18630), _u18634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18628)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7486, plain, ( ~class_Groups_Ocomm__monoid__add(_u18635) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18635), _u18636) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18635), hAPP(c_List_Onth(_u18635), _u18636)), 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(_u18635)), _u18636)))) )).
% 12.32/12.58 cnf(matrix-7487, plain, ( ( hAPP(c_List_Oset(_u18637), c_List_Osublist(_u18637, _u18638, _u18639)) = hAPP(c_Set_OCollect(_u18637), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18637), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18637, 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)), _u18637), 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)), _u18637), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18637, tc_fun(tc_Nat_Onat, _u18637), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18637, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18637), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18637), c_COMBB(_u18637, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18637), _u18638))))), 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(_u18637)), _u18638)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18639)))))) )).
% 12.32/12.58 cnf(matrix-7488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18646), tc_List_Olist(_u18646))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18646), tc_List_Olist(_u18646)), _u18648), _u18650)), c_List_Olistrel(_u18646, _u18652))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18648) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18650)) )).
% 12.32/12.58 cnf(matrix-7489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18646), tc_List_Olist(_u18646))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18646), tc_List_Olist(_u18646)), _u18648), _u18650)), c_List_Olistrel(_u18646, _u18652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18648))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18646, _u18646)), hAPP(hAPP(c_Product__Type_OPair(_u18646, _u18646), hAPP(hAPP(c_List_Onth(_u18646), _u18648), _u18640)), hAPP(hAPP(c_List_Onth(_u18646), _u18650), _u18640))), _u18652)) )).
% 12.32/12.58 cnf(matrix-7490, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18647), tc_List_Olist(_u18647))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18647), tc_List_Olist(_u18647)), _u18649), _u18651)), c_List_Olistrel(_u18647, _u18653))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u18653, _u18651, _u18649, _u18647)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649))) )).
% 12.32/12.58 cnf(matrix-7491, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18647), tc_List_Olist(_u18647))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18647), tc_List_Olist(_u18647)), _u18649), _u18651)), c_List_Olistrel(_u18647, _u18653))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18649) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18647)), _u18651)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18647, _u18647)), hAPP(hAPP(c_Product__Type_OPair(_u18647, _u18647), hAPP(hAPP(c_List_Onth(_u18647), _u18649), skolem467(_u18653, _u18651, _u18649, _u18647))), hAPP(hAPP(c_List_Onth(_u18647), _u18651), skolem467(_u18653, _u18651, _u18649, _u18647)))), _u18653)) )).
% 12.32/12.58 cnf(matrix-7492, plain, ( ( hAPP(c_List_Oset(tc_prod(_u18654, _u18655)), hAPP(hAPP(c_List_Ozip(_u18654, _u18655), _u18656), _u18657)) = hAPP(c_Set_OCollect(tc_prod(_u18654, _u18655)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18654, _u18655)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18654, _u18655), 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(_u18654, _u18655)), 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(_u18654, _u18655)), 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(_u18654, _u18655), tc_fun(tc_Nat_Onat, tc_prod(_u18654, _u18655)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18654, _u18655), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18654, _u18655)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18654, _u18655)), c_COMBB(tc_prod(_u18654, _u18655), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18655, tc_prod(_u18654, _u18655)), hAPP(hAPP(c_COMBB(_u18654, tc_fun(_u18655, tc_prod(_u18654, _u18655)), tc_Nat_Onat), c_Product__Type_OPair(_u18654, _u18655)), hAPP(c_List_Onth(_u18654), _u18656))), hAPP(c_List_Onth(_u18655), _u18657)))))), 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(_u18654)), _u18656)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18655)), _u18657))))))) )).
% 12.32/12.58 cnf(matrix-7493, plain, ( ~class_Orderings_Olinorder(_u18658) | hBOOL(hAPP(hAPP(c_member(_u18658), hAPP(_u18659, _u18660)), hAPP(c_Set_Oimage(_u18661, _u18658, _u18659), hAPP(c_List_Oset(_u18661), _u18662)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18661, _u18658, _u18659, _u18660, _u18662) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18661, _u18658, _u18659), _u18660), _u18662)) )).
% 12.32/12.58 cnf(matrix-7494, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18663), _u18664)) | hBOOL(hAPP(hAPP(c_member(_u18663), _u18665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18663, tc_HOL_Obool)), hAPP(c_List_Oset(_u18663), _u18664)), hAPP(hAPP(c_Set_Oinsert(_u18663), hAPP(hAPP(c_List_Onth(_u18663), _u18664), _u18666)), c_Orderings_Obot__class_Obot(tc_fun(_u18663, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18663), hAPP(hAPP(c_List_Olist__update(_u18663, _u18664), _u18666), _u18665))) )).
% 12.32/12.58 cnf(matrix-7495, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18667, _u18668), _u18669), hAPP(hAPP(c_List_Onth(_u18667), _u18668), _u18669)) = _u18668) )).
% 12.32/12.58 cnf(matrix-7496, plain, ( ( _u18670 = _u18671) | ( hAPP(hAPP(c_List_Onth(_u18672), hAPP(hAPP(c_List_Olist__update(_u18672, _u18673), _u18670), _u18674)), _u18671) = hAPP(hAPP(c_List_Onth(_u18672), _u18673), _u18671)) )).
% 12.32/12.58 cnf(matrix-7497, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18679, _u18681), _u18683), _u18685) != c_List_Olist_ONil(_u18679)) | ( _u18681 = c_List_Olist_ONil(_u18679)) )).
% 12.32/12.58 cnf(matrix-7498, plain, ( ( _u18682 != c_List_Olist_ONil(_u18680)) | ( hAPP(hAPP(c_List_Olist__update(_u18680, _u18682), _u18684), _u18686) = c_List_Olist_ONil(_u18680)) )).
% 12.32/12.58 cnf(matrix-7499, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18687, c_List_Olist_ONil(_u18687)), _u18688), _u18689) = c_List_Olist_ONil(_u18687)) )).
% 12.32/12.58 cnf(matrix-7500, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18690, c_List_Olist_ONil(_u18690)), _u18691), _u18692) = c_List_Olist_ONil(_u18690)) )).
% 12.32/12.58 cnf(matrix-7501, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18693, _u18694), hAPP(hAPP(c_List_Olist__update(_u18693, _u18695), _u18696), _u18697)), hAPP(hAPP(c_List_Olist__update(_u18694, _u18698), _u18696), _u18699)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18693, _u18694), hAPP(hAPP(c_List_Ozip(_u18693, _u18694), _u18695), _u18698)), _u18696), hAPP(hAPP(c_Product__Type_OPair(_u18693, _u18694), _u18697), _u18699))) )).
% 12.32/12.58 cnf(matrix-7502, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18700, _u18701), hAPP(hAPP(c_List_Ozip(_u18700, _u18701), _u18702), _u18703)), _u18704), _u18705) = hAPP(hAPP(c_List_Ozip(_u18700, _u18701), hAPP(hAPP(c_List_Olist__update(_u18700, _u18702), _u18704), hAPP(c_Product__Type_Ofst(_u18700, _u18701), _u18705))), hAPP(hAPP(c_List_Olist__update(_u18701, _u18703), _u18704), hAPP(c_Product__Type_Osnd(_u18700, _u18701), _u18705)))) )).
% 12.32/12.58 cnf(matrix-7503, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18706)), hAPP(hAPP(c_List_Olist__update(_u18706, _u18707), _u18708), _u18709)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18706)), _u18707)) )).
% 12.32/12.58 cnf(matrix-7504, plain, ( ( _u18710 = _u18711) | ( hAPP(hAPP(c_List_Olist__update(_u18712, hAPP(hAPP(c_List_Olist__update(_u18712, _u18713), _u18710), _u18714)), _u18711), _u18715) = hAPP(hAPP(c_List_Olist__update(_u18712, hAPP(hAPP(c_List_Olist__update(_u18712, _u18713), _u18711), _u18715)), _u18710), _u18714)) )).
% 12.32/12.58 cnf(matrix-7505, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18716, hAPP(hAPP(c_List_Olist__update(_u18716, _u18717), _u18718), _u18719)), _u18718), _u18720) = hAPP(hAPP(c_List_Olist__update(_u18716, _u18717), _u18718), _u18720)) )).
% 12.32/12.58 cnf(matrix-7506, plain, ( ~class_Orderings_Olinorder(_u18721) | ~hBOOL(hAPP(c_List_Odistinct(_u18722), _u18723)) | hBOOL(hAPP(c_List_Odistinct(_u18722), c_List_Olinorder__class_Oinsort__insert__key(_u18722, _u18721, _u18724, _u18725, _u18723))) )).
% 12.32/12.58 cnf(matrix-7507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18726)), _u18727)), _u18728)) | ( hAPP(hAPP(c_List_Olist__update(_u18726, _u18727), _u18728), _u18729) = _u18727) )).
% 12.32/12.58 cnf(matrix-7508, plain, ( ( hAPP(hAPP(c_List_Omap(_u18730, _u18731), _u18732), hAPP(hAPP(c_List_Olist__update(_u18730, _u18733), _u18734), _u18735)) = hAPP(hAPP(c_List_Olist__update(_u18731, hAPP(hAPP(c_List_Omap(_u18730, _u18731), _u18732), _u18733)), _u18734), hAPP(_u18732, _u18735))) )).
% 12.32/12.58 cnf(matrix-7509, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18736, hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18737), _u18738)), _u18739), _u18740) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18736), hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18740), _u18738), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18736), tc_List_Olist(_u18736), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18736), _u18737)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18736, tc_List_Olist(_u18736)), c_List_Olist__update(_u18736, _u18738)), _u18740)), _u18739)) )).
% 12.32/12.58 cnf(matrix-7510, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18741, hAPP(hAPP(c_List_Olist_OCons(_u18741), _u18742), _u18743)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18744) = hAPP(hAPP(c_List_Olist_OCons(_u18741), _u18744), _u18743)) )).
% 12.32/12.58 cnf(matrix-7511, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18745, hAPP(hAPP(c_List_Olist_OCons(_u18745), _u18746), _u18747)), hAPP(c_Nat_OSuc, _u18748)), _u18749) = hAPP(hAPP(c_List_Olist_OCons(_u18745), _u18746), hAPP(hAPP(c_List_Olist__update(_u18745, _u18747), _u18748), _u18749))) )).
% 12.32/12.58 cnf(matrix-7512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18750, tc_HOL_Obool)), hAPP(c_List_Oset(_u18750), _u18751)), _u18752)) | ~hBOOL(hAPP(hAPP(c_member(_u18750), _u18753), _u18752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18750, tc_HOL_Obool)), hAPP(c_List_Oset(_u18750), hAPP(hAPP(c_List_Olist__update(_u18750, _u18751), _u18754), _u18753))), _u18752)) )).
% 12.32/12.58 cnf(matrix-7513, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18755, tc_HOL_Obool)), hAPP(c_List_Oset(_u18755), hAPP(hAPP(c_List_Olist__update(_u18755, _u18756), _u18757), _u18758))), hAPP(hAPP(c_Set_Oinsert(_u18755), _u18758), hAPP(c_List_Oset(_u18755), _u18756)))) )).
% 12.32/12.58 cnf(matrix-7514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18759), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18760)), _u18761))) | ( hAPP(hAPP(c_List_Onth(_u18760), hAPP(hAPP(c_List_Olist__update(_u18760, _u18761), _u18759), _u18762)), _u18759) = _u18762) )).
% 12.32/12.58 cnf(matrix-7515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18764)), _u18765))) | ( hAPP(hAPP(c_List_Olist__update(_u18764, _u18765), _u18763), _u18766) != _u18765) | ( hAPP(hAPP(c_List_Onth(_u18764), _u18765), _u18763) = _u18766) )).
% 12.32/12.58 cnf(matrix-7516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18764)), _u18765))) | ( hAPP(hAPP(c_List_Onth(_u18764), _u18765), _u18763) != _u18766) | ( hAPP(hAPP(c_List_Olist__update(_u18764, _u18765), _u18763), _u18766) = _u18765) )).
% 12.32/12.58 cnf(matrix-7517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18767), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18768)), _u18769))) | ( _u18767 != _u18770) | ( hAPP(hAPP(c_List_Onth(_u18768), hAPP(hAPP(c_List_Olist__update(_u18768, _u18769), _u18767), _u18771)), _u18770) = _u18771) )).
% 12.32/12.58 cnf(matrix-7518, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18767), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18768)), _u18769))) | ( _u18767 = _u18770) | ( hAPP(hAPP(c_List_Onth(_u18768), hAPP(hAPP(c_List_Olist__update(_u18768, _u18769), _u18767), _u18771)), _u18770) = hAPP(hAPP(c_List_Onth(_u18768), _u18769), _u18770)) )).
% 12.32/12.58 cnf(matrix-7519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18772), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18773)), _u18774))) | hBOOL(hAPP(hAPP(c_member(_u18773), _u18775), hAPP(c_List_Oset(_u18773), hAPP(hAPP(c_List_Olist__update(_u18773, _u18774), _u18772), _u18775)))) )).
% 12.32/12.58 cnf(matrix-7520, plain, ( ~class_Orderings_Olinorder(_u18776) | ~hBOOL(hAPP(hAPP(c_member(_u18776), _u18777), hAPP(c_List_Oset(_u18776), _u18778))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18776, _u18776, c_COMBI(_u18776), _u18777, _u18778) = _u18778) )).
% 12.32/12.58 cnf(matrix-7521, plain, ( ~class_Orderings_Olinorder(_u18779) | ( hAPP(c_List_Oset(_u18779), c_List_Olinorder__class_Oinsort__insert__key(_u18779, _u18779, c_COMBI(_u18779), _u18780, _u18781)) = hAPP(hAPP(c_Set_Oinsert(_u18779), _u18780), hAPP(c_List_Oset(_u18779), _u18781))) )).
% 12.32/12.58 cnf(matrix-7522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18782), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18783))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18783), _u18782), _u18784)) = 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), _u18783)), _u18784)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18783), _u18782))) )).
% 12.32/12.58 cnf(matrix-7523, plain, ( ~class_Orderings_Olinorder(_u18785) | ~hBOOL(hAPP(hAPP(c_member(_u18785), hAPP(_u18786, _u18787)), hAPP(c_Set_Oimage(_u18788, _u18785, _u18786), hAPP(c_List_Oset(_u18788), _u18789)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18788, _u18785, _u18786, _u18787, _u18789) = _u18789) )).
% 12.32/12.58 cnf(matrix-7524, plain, ( ~class_Orderings_Olinorder(_u18790) | hBOOL(hAPP(hAPP(c_member(_u18790), _u18791), hAPP(c_List_Oset(_u18790), _u18792))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18790, _u18790, c_COMBI(_u18790), _u18791, _u18792) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18790, _u18790, c_COMBI(_u18790)), _u18791), _u18792)) )).
% 12.32/12.58 cnf(matrix-7525, plain, ( ( c_List_Osublist(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795), _u18796) = hAPP(hAPP(c_List_Oappend(_u18793), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18793)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18796)), hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), c_List_Olist_ONil(_u18793))), c_List_Olist_ONil(_u18793))), c_List_Osublist(_u18793, _u18795, 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)), _u18796))))) )).
% 12.32/12.58 cnf(matrix-7526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18805), _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811))), c_List_Olexord(_u18803, _u18813))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18803, _u18803)), hAPP(hAPP(c_Product__Type_OPair(_u18803, _u18803), _u18805), _u18809)), _u18813)) | ( _u18805 = _u18809) )).
% 12.32/12.58 cnf(matrix-7527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18805), _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811))), c_List_Olexord(_u18803, _u18813))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18803, _u18803)), hAPP(hAPP(c_Product__Type_OPair(_u18803, _u18803), _u18805), _u18809)), _u18813)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18803), tc_List_Olist(_u18803))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18803), tc_List_Olist(_u18803)), _u18807), _u18811)), c_List_Olexord(_u18803, _u18813))) )).
% 12.32/12.58 cnf(matrix-7528, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18806), _u18808)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812))), c_List_Olexord(_u18804, _u18814))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18804, _u18804)), hAPP(hAPP(c_Product__Type_OPair(_u18804, _u18804), _u18806), _u18810)), _u18814)) )).
% 12.32/12.58 cnf(matrix-7529, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18806), _u18808)), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812))), c_List_Olexord(_u18804, _u18814))) | ( _u18806 != _u18810) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18804), tc_List_Olist(_u18804))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), _u18808), _u18812)), c_List_Olexord(_u18804, _u18814))) )).
% 12.32/12.58 cnf(matrix-7530, plain, ( ( hAPP(hAPP(c_List_Onth(_u18815), hAPP(hAPP(c_List_Oappend(_u18815), _u18816), hAPP(hAPP(c_List_Olist_OCons(_u18815), _u18817), _u18818))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18815)), _u18816)) = _u18817) )).
% 12.32/12.58 cnf(matrix-7531, plain, ( ( hAPP(hAPP(c_List_Onth(_u18819), hAPP(hAPP(c_List_Oappend(_u18819), _u18820), _u18821)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), _u18820)), _u18822)) = hAPP(hAPP(c_List_Onth(_u18819), _u18821), _u18822)) )).
% 12.32/12.58 cnf(matrix-7532, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18826)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18827) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18828)) | ( hAPP(hAPP(c_List_Ozip(_u18823, _u18825), hAPP(hAPP(c_List_Oappend(_u18823), _u18824), _u18827)), hAPP(hAPP(c_List_Oappend(_u18825), _u18826), _u18828)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18823, _u18825)), hAPP(hAPP(c_List_Ozip(_u18823, _u18825), _u18824), _u18826)), hAPP(hAPP(c_List_Ozip(_u18823, _u18825), _u18827), _u18828))) )).
% 12.32/12.58 cnf(matrix-7533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | ( hAPP(hAPP(c_List_Olist__update(_u18830, hAPP(hAPP(c_List_Oappend(_u18830), _u18831), _u18832)), _u18829), _u18833) = hAPP(hAPP(c_List_Oappend(_u18830), hAPP(hAPP(c_List_Olist__update(_u18830, _u18831), _u18829), _u18833)), _u18832)) )).
% 12.32/12.58 cnf(matrix-7534, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), hAPP(hAPP(c_List_Oappend(_u18834), _u18835), _u18836)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), _u18835)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)), _u18836))) )).
% 12.32/12.58 cnf(matrix-7535, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18837, hAPP(hAPP(c_List_Oappend(_u18837), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18837), _u18839), _u18840))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18837)), _u18838)), _u18841) = hAPP(hAPP(c_List_Oappend(_u18837), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18837), _u18841), _u18840))) )).
% 12.32/12.58 cnf(matrix-7536, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18847), _u18849), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18851), c_List_Olist_ONil(_u18847))) != hAPP(hAPP(c_List_Oappend(_u18847), _u18853), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18855), c_List_Olist_ONil(_u18847)))) | ( _u18849 = _u18853) )).
% 12.32/12.58 cnf(matrix-7537, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18847), _u18849), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18851), c_List_Olist_ONil(_u18847))) != hAPP(hAPP(c_List_Oappend(_u18847), _u18853), hAPP(hAPP(c_List_Olist_OCons(_u18847), _u18855), c_List_Olist_ONil(_u18847)))) | ( _u18851 = _u18855) )).
% 12.32/12.58 cnf(matrix-7538, plain, ( ( _u18850 != _u18854) | ( _u18852 != _u18856) | ( hAPP(hAPP(c_List_Oappend(_u18848), _u18850), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18852), c_List_Olist_ONil(_u18848))) = hAPP(hAPP(c_List_Oappend(_u18848), _u18854), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18856), c_List_Olist_ONil(_u18848)))) )).
% 12.32/12.58 cnf(matrix-7539, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( _u18870 = c_List_Olist_ONil(_u18864)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)) = _u18870) )).
% 12.32/12.58 cnf(matrix-7540, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( _u18870 = c_List_Olist_ONil(_u18864)) | ( _u18868 = hAPP(hAPP(c_List_Oappend(_u18864), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)), _u18872)) )).
% 12.32/12.58 cnf(matrix-7541, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) = _u18872) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)) = _u18870) )).
% 12.32/12.58 cnf(matrix-7542, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) != hAPP(hAPP(c_List_Oappend(_u18864), _u18870), _u18872)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18864), _u18866), _u18868) = _u18872) | ( _u18868 = hAPP(hAPP(c_List_Oappend(_u18864), skolem468(_u18872, _u18870, _u18868, _u18866, _u18864)), _u18872)) )).
% 12.32/12.58 cnf(matrix-7543, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) = hAPP(hAPP(c_List_Oappend(_u18865), _u18871), _u18873)) | ( _u18871 != c_List_Olist_ONil(_u18865)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) != _u18873) )).
% 12.32/12.58 cnf(matrix-7544, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18869) = hAPP(hAPP(c_List_Oappend(_u18865), _u18871), _u18873)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18865), _u18867), _u18858) != _u18871) | ( _u18869 != hAPP(hAPP(c_List_Oappend(_u18865), _u18858), _u18873)) )).
% 12.32/12.58 cnf(matrix-7545, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = c_List_Olist_ONil(_u18881)) | ( _u18883 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881))) )).
% 12.32/12.58 cnf(matrix-7546, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = c_List_Olist_ONil(_u18881)) | ( hAPP(hAPP(c_List_Oappend(_u18881), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881)), _u18885) = _u18889) )).
% 12.32/12.58 cnf(matrix-7547, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18885 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18883 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881))) )).
% 12.32/12.58 cnf(matrix-7548, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18881), _u18883), _u18885) != hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( _u18885 = hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18887), _u18889)) | ( hAPP(hAPP(c_List_Oappend(_u18881), skolem469(_u18889, _u18887, _u18885, _u18883, _u18881)), _u18885) = _u18889) )).
% 12.32/12.58 cnf(matrix-7549, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18882), _u18884), _u18886) = hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) | ( _u18884 != c_List_Olist_ONil(_u18882)) | ( _u18886 != hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) )).
% 12.32/12.58 cnf(matrix-7550, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18882), _u18884), _u18886) = hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18890)) | ( _u18884 != hAPP(hAPP(c_List_Olist_OCons(_u18882), _u18888), _u18875)) | ( hAPP(hAPP(c_List_Oappend(_u18882), _u18875), _u18886) != _u18890) )).
% 12.32/12.58 cnf(matrix-7551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18891, _u18891)), hAPP(hAPP(c_Product__Type_OPair(_u18891, _u18891), _u18892), _u18893)), _u18894)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18891), tc_List_Olist(_u18891))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18891), tc_List_Olist(_u18891)), hAPP(hAPP(c_List_Oappend(_u18891), _u18895), hAPP(hAPP(c_List_Olist_OCons(_u18891), _u18892), _u18896))), hAPP(hAPP(c_List_Oappend(_u18891), _u18895), hAPP(hAPP(c_List_Olist_OCons(_u18891), _u18893), _u18897)))), c_List_Olexord(_u18891, _u18894))) )).
% 12.32/12.58 cnf(matrix-7552, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18898), _u18899), _u18900) != _u18901) | ( _u18902 != hAPP(hAPP(c_List_Oappend(_u18898), _u18900), _u18903)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18898), _u18899), _u18902) = hAPP(hAPP(c_List_Oappend(_u18898), _u18901), _u18903)) )).
% 12.32/12.58 cnf(matrix-7553, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18904), hAPP(hAPP(c_List_Olist_OCons(_u18904), _u18905), _u18906)), _u18907) = hAPP(hAPP(c_List_Olist_OCons(_u18904), _u18905), hAPP(hAPP(c_List_Oappend(_u18904), _u18906), _u18907))) )).
% 12.32/12.58 cnf(matrix-7554, plain, ( ~class_Groups_Omonoid__add(_u18908) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), hAPP(hAPP(c_List_Oappend(_u18908), _u18909), _u18910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18908), hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), _u18909)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18908), _u18910))) )).
% 12.32/12.58 cnf(matrix-7555, plain, ( ( hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), hAPP(hAPP(c_List_Oappend(_u18911), _u18914), _u18915)) = hAPP(hAPP(c_List_Oappend(_u18912), hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), _u18914)), hAPP(hAPP(c_List_Omap(_u18911, _u18912), _u18913), _u18915))) )).
% 12.32/12.58 cnf(matrix-7556, plain, ( ( hAPP(c_List_Oset(_u18916), hAPP(hAPP(c_List_Oappend(_u18916), _u18917), _u18918)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18916, tc_HOL_Obool)), hAPP(c_List_Oset(_u18916), _u18917)), hAPP(c_List_Oset(_u18916), _u18918))) )).
% 12.32/12.58 cnf(matrix-7557, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18919), hAPP(hAPP(c_List_Oappend(_u18919), _u18920), _u18921)), _u18922) = hAPP(hAPP(c_List_Oappend(_u18919), _u18920), hAPP(hAPP(c_List_Oappend(_u18919), _u18921), _u18922))) )).
% 12.32/12.58 cnf(matrix-7558, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( _u18936 = hAPP(hAPP(c_List_Oappend(_u18934), _u18940), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934))) | ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)) = _u18940) )).
% 12.32/12.58 cnf(matrix-7559, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( _u18936 = hAPP(hAPP(c_List_Oappend(_u18934), _u18940), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934))) | ( _u18938 = hAPP(hAPP(c_List_Oappend(_u18934), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18942)) )).
% 12.32/12.58 cnf(matrix-7560, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( hAPP(hAPP(c_List_Oappend(_u18934), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18938) = _u18942) | ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)) = _u18940) )).
% 12.32/12.58 cnf(matrix-7561, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18934), _u18936), _u18938) != hAPP(hAPP(c_List_Oappend(_u18934), _u18940), _u18942)) | ( hAPP(hAPP(c_List_Oappend(_u18934), skolem470(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18938) = _u18942) | ( _u18938 = hAPP(hAPP(c_List_Oappend(_u18934), skolem471(_u18942, _u18940, _u18938, _u18936, _u18934)), _u18942)) )).
% 12.32/12.58 cnf(matrix-7562, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18939) = hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18943)) | ( _u18937 != hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18932)) | ( hAPP(hAPP(c_List_Oappend(_u18935), _u18932), _u18939) != _u18943) )).
% 12.32/12.58 cnf(matrix-7563, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18939) = hAPP(hAPP(c_List_Oappend(_u18935), _u18941), _u18943)) | ( hAPP(hAPP(c_List_Oappend(_u18935), _u18937), _u18933) != _u18941) | ( _u18939 != hAPP(hAPP(c_List_Oappend(_u18935), _u18933), _u18943)) )).
% 12.32/12.58 cnf(matrix-7564, plain, ( ( _u18952 = _u18954) | ( hAPP(hAPP(c_List_Oappend(_u18948), _u18950), _u18952) != hAPP(hAPP(c_List_Oappend(_u18948), _u18950), _u18954)) )).
% 12.32/12.58 cnf(matrix-7565, plain, ( ( _u18953 != _u18955) | ( hAPP(hAPP(c_List_Oappend(_u18949), _u18951), _u18953) = hAPP(hAPP(c_List_Oappend(_u18949), _u18951), _u18955)) )).
% 12.32/12.58 cnf(matrix-7566, plain, ( ( _u18962 = _u18966) | ( hAPP(hAPP(c_List_Oappend(_u18960), _u18962), _u18964) != hAPP(hAPP(c_List_Oappend(_u18960), _u18966), _u18964)) )).
% 12.32/12.58 cnf(matrix-7567, plain, ( ( _u18963 != _u18967) | ( hAPP(hAPP(c_List_Oappend(_u18961), _u18963), _u18965) = hAPP(hAPP(c_List_Oappend(_u18961), _u18967), _u18965)) )).
% 12.32/12.58 cnf(matrix-7568, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18968), _u18969), _u18970) != _u18971) | ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18968), _u18970), _u18973)) | ( hAPP(hAPP(c_List_Oappend(_u18968), _u18969), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18971), _u18973)) )).
% 12.32/12.58 cnf(matrix-7569, plain, ( ( c_Map_Omap__of(_u18974, _u18975, hAPP(hAPP(c_List_Oappend(tc_prod(_u18974, _u18975)), _u18976), _u18977)) = c_Map_Omap__add(_u18974, _u18975, c_Map_Omap__of(_u18974, _u18975, _u18977), c_Map_Omap__of(_u18974, _u18975, _u18976))) )).
% 12.32/12.58 cnf(matrix-7570, plain, ( ( c_List_Ofoldr(_u18978, _u18979, _u18980, hAPP(hAPP(c_List_Oappend(_u18978), _u18981), _u18982), _u18983) = c_List_Ofoldr(_u18978, _u18979, _u18980, _u18981, c_List_Ofoldr(_u18978, _u18979, _u18980, _u18982, _u18983))) )).
% 12.32/12.58 cnf(matrix-7571, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18984), tc_List_Olist(_u18984))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18984), tc_List_Olist(_u18984)), _u18985), _u18986)), c_List_Olexord(_u18984, _u18987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18984), tc_List_Olist(_u18984))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18984), tc_List_Olist(_u18984)), hAPP(hAPP(c_List_Oappend(_u18984), _u18988), _u18985)), hAPP(hAPP(c_List_Oappend(_u18984), _u18988), _u18986))), c_List_Olexord(_u18984, _u18987))) )).
% 12.32/12.58 cnf(matrix-7572, plain, ( ( _u18989 != _u18990) | ( _u18989 = hAPP(hAPP(c_List_Oappend(_u18991), c_List_Olist_ONil(_u18991)), _u18990)) )).
% 12.32/12.58 cnf(matrix-7573, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18995), _u18997), _u18999) != _u18999) | ( _u18997 = c_List_Olist_ONil(_u18995)) )).
% 12.32/12.58 cnf(matrix-7574, plain, ( ( _u18998 != c_List_Olist_ONil(_u18996)) | ( hAPP(hAPP(c_List_Oappend(_u18996), _u18998), _u19000) = _u19000) )).
% 12.32/12.58 cnf(matrix-7575, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19004), _u19006), _u19008) != _u19006) | ( _u19008 = c_List_Olist_ONil(_u19004)) )).
% 12.32/12.58 cnf(matrix-7576, plain, ( ( _u19009 != c_List_Olist_ONil(_u19005)) | ( hAPP(hAPP(c_List_Oappend(_u19005), _u19007), _u19009) = _u19007) )).
% 12.32/12.58 cnf(matrix-7577, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19013), _u19015), _u19017) != c_List_Olist_ONil(_u19013)) | ( _u19015 = c_List_Olist_ONil(_u19013)) )).
% 12.32/12.58 cnf(matrix-7578, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19013), _u19015), _u19017) != c_List_Olist_ONil(_u19013)) | ( _u19017 = c_List_Olist_ONil(_u19013)) )).
% 12.32/12.58 cnf(matrix-7579, plain, ( ( _u19016 != c_List_Olist_ONil(_u19014)) | ( _u19018 != c_List_Olist_ONil(_u19014)) | ( hAPP(hAPP(c_List_Oappend(_u19014), _u19016), _u19018) = c_List_Olist_ONil(_u19014)) )).
% 12.32/12.58 cnf(matrix-7580, plain, ( ( _u19026 = c_List_Olist_ONil(_u19024)) | ( _u19022 != hAPP(hAPP(c_List_Oappend(_u19024), _u19026), _u19022)) )).
% 12.32/12.58 cnf(matrix-7581, plain, ( ( _u19027 != c_List_Olist_ONil(_u19025)) | ( _u19023 = hAPP(hAPP(c_List_Oappend(_u19025), _u19027), _u19023)) )).
% 12.32/12.58 cnf(matrix-7582, plain, ( ( _u19035 = c_List_Olist_ONil(_u19033)) | ( _u19031 != hAPP(hAPP(c_List_Oappend(_u19033), _u19031), _u19035)) )).
% 12.32/12.58 cnf(matrix-7583, plain, ( ( _u19036 != c_List_Olist_ONil(_u19034)) | ( _u19032 = hAPP(hAPP(c_List_Oappend(_u19034), _u19032), _u19036)) )).
% 12.32/12.58 cnf(matrix-7584, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19037), _u19038), c_List_Olist_ONil(_u19037)) = _u19038) )).
% 12.32/12.58 cnf(matrix-7585, plain, ( ( c_List_Olist_ONil(_u19042) != hAPP(hAPP(c_List_Oappend(_u19042), _u19044), _u19046)) | ( _u19044 = c_List_Olist_ONil(_u19042)) )).
% 12.32/12.58 cnf(matrix-7586, plain, ( ( c_List_Olist_ONil(_u19042) != hAPP(hAPP(c_List_Oappend(_u19042), _u19044), _u19046)) | ( _u19046 = c_List_Olist_ONil(_u19042)) )).
% 12.32/12.58 cnf(matrix-7587, plain, ( ( _u19045 != c_List_Olist_ONil(_u19043)) | ( _u19047 != c_List_Olist_ONil(_u19043)) | ( c_List_Olist_ONil(_u19043) = hAPP(hAPP(c_List_Oappend(_u19043), _u19045), _u19047)) )).
% 12.32/12.58 cnf(matrix-7588, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19048), c_List_Olist_ONil(_u19048)), _u19049) = _u19049) )).
% 12.32/12.58 cnf(matrix-7589, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19054), _u19056), hAPP(c_List_Oset(_u19054), _u19058))) | ( c_List_Oremove1(_u19054, _u19056, hAPP(hAPP(c_List_Oappend(_u19054), _u19058), _u19060)) = hAPP(hAPP(c_List_Oappend(_u19054), c_List_Oremove1(_u19054, _u19056, _u19058)), _u19060)) )).
% 12.32/12.58 cnf(matrix-7590, plain, ( hBOOL(hAPP(hAPP(c_member(_u19055), _u19057), hAPP(c_List_Oset(_u19055), _u19059))) | ( c_List_Oremove1(_u19055, _u19057, hAPP(hAPP(c_List_Oappend(_u19055), _u19059), _u19061)) = hAPP(hAPP(c_List_Oappend(_u19055), _u19059), c_List_Oremove1(_u19055, _u19057, _u19061))) )).
% 12.32/12.58 cnf(matrix-7591, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | hBOOL(hAPP(c_List_Odistinct(_u19065), _u19067)) )).
% 12.32/12.58 cnf(matrix-7592, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | hBOOL(hAPP(c_List_Odistinct(_u19065), _u19069)) )).
% 12.32/12.58 cnf(matrix-7593, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19065), hAPP(hAPP(c_List_Oappend(_u19065), _u19067), _u19069))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19065, tc_HOL_Obool)), hAPP(c_List_Oset(_u19065), _u19067)), hAPP(c_List_Oset(_u19065), _u19069)) = c_Orderings_Obot__class_Obot(tc_fun(_u19065, tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7594, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19066), _u19068)) | ~hBOOL(hAPP(c_List_Odistinct(_u19066), _u19070)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19066, tc_HOL_Obool)), hAPP(c_List_Oset(_u19066), _u19068)), hAPP(c_List_Oset(_u19066), _u19070)) != c_Orderings_Obot__class_Obot(tc_fun(_u19066, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19066), hAPP(hAPP(c_List_Oappend(_u19066), _u19068), _u19070))) )).
% 12.32/12.58 cnf(matrix-7595, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19077)), _u19079))) | ( hAPP(hAPP(c_List_Onth(_u19077), hAPP(hAPP(c_List_Oappend(_u19077), _u19079), _u19081)), _u19075) = hAPP(hAPP(c_List_Onth(_u19077), _u19079), _u19075)) )).
% 12.32/12.58 cnf(matrix-7596, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19078)), _u19080))) | ( hAPP(hAPP(c_List_Onth(_u19078), hAPP(hAPP(c_List_Oappend(_u19078), _u19080), _u19082)), _u19076) = hAPP(hAPP(c_List_Onth(_u19078), _u19082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19078)), _u19080)))) )).
% 12.32/12.58 cnf(matrix-7597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19088), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19090)), _u19092))) | ( hAPP(hAPP(c_List_Olist__update(_u19090, hAPP(hAPP(c_List_Oappend(_u19090), _u19092), _u19094)), _u19088), _u19096) = hAPP(hAPP(c_List_Oappend(_u19090), hAPP(hAPP(c_List_Olist__update(_u19090, _u19092), _u19088), _u19096)), _u19094)) )).
% 12.32/12.58 cnf(matrix-7598, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19089), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19091)), _u19093))) | ( hAPP(hAPP(c_List_Olist__update(_u19091, hAPP(hAPP(c_List_Oappend(_u19091), _u19093), _u19095)), _u19089), _u19097) = hAPP(hAPP(c_List_Oappend(_u19091), _u19093), hAPP(hAPP(c_List_Olist__update(_u19091, _u19095), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19089), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19091)), _u19093))), _u19097))) )).
% 12.32/12.58 cnf(matrix-7599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19098), tc_List_Olist(_u19098))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19098), tc_List_Olist(_u19098)), _u19099), c_List_Olist_ONil(_u19098))), c_List_Olexord(_u19098, _u19100))) )).
% 12.32/12.58 cnf(matrix-7600, plain, ( ( c_List_Osublist(_u19101, hAPP(hAPP(c_List_Oappend(_u19101), _u19102), _u19103), _u19104) = hAPP(hAPP(c_List_Oappend(_u19101), c_List_Osublist(_u19101, _u19102, _u19104)), c_List_Osublist(_u19101, _u19103, 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(_u19101)), _u19102)))), _u19104))))) )).
% 12.32/12.58 cnf(matrix-7601, plain, ( ~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)), _u19111), _u19113)), c_List_Olex(_u19109, _u19115))) | 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)), _u19111), _u19113)), c_List_Olexord(_u19109, _u19115))) )).
% 12.32/12.58 cnf(matrix-7602, plain, ( ~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)), _u19111), _u19113)), c_List_Olex(_u19109, _u19115))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19109)), _u19111) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19109)), _u19113)) )).
% 12.32/12.58 cnf(matrix-7603, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19110), tc_List_Olist(_u19110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19110), tc_List_Olist(_u19110)), _u19112), _u19114)), c_List_Olexord(_u19110, _u19116))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19110)), _u19112) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19110)), _u19114)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19110), tc_List_Olist(_u19110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19110), tc_List_Olist(_u19110)), _u19112), _u19114)), c_List_Olex(_u19110, _u19116))) )).
% 12.32/12.58 cnf(matrix-7604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19117)), _u19118)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19119)), _u19120))) | ( c_Map_Omap__upds(_u19117, _u19119, _u19121, hAPP(hAPP(c_List_Oappend(_u19117), _u19118), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19122), c_List_Olist_ONil(_u19117))), _u19120) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19117, tc_Option_Ooption(_u19119)), c_Map_Omap__upds(_u19117, _u19119, _u19121, _u19118, _u19120)), _u19122), hAPP(c_Option_Ooption_OSome(_u19119), hAPP(hAPP(c_List_Onth(_u19119), _u19120), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19117)), _u19118))))) )).
% 12.32/12.58 cnf(matrix-7605, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u19135, _u19133, _u19131, _u19129)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133)))) )).
% 12.32/12.58 cnf(matrix-7606, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | ( hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19131) = hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19133)) )).
% 12.32/12.58 cnf(matrix-7607, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19129, _u19129)), hAPP(hAPP(c_Product__Type_OPair(_u19129, _u19129), hAPP(hAPP(c_List_Onth(_u19129), _u19131), skolem472(_u19135, _u19133, _u19131, _u19129))), hAPP(hAPP(c_List_Onth(_u19129), _u19133), skolem472(_u19135, _u19133, _u19131, _u19129)))), _u19135)) )).
% 12.32/12.58 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u19135, _u19133, _u19131, _u19129)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19133)))) )).
% 12.32/12.58 cnf(matrix-7609, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | ( hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19131) = hAPP(hAPP(c_List_Otake(_u19129), skolem472(_u19135, _u19133, _u19131, _u19129)), _u19133)) )).
% 12.32/12.58 cnf(matrix-7610, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19129), tc_List_Olist(_u19129))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19129), tc_List_Olist(_u19129)), _u19131), _u19133)), c_List_Olexord(_u19129, _u19135))) | ( hAPP(hAPP(c_List_Otake(_u19129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19129)), _u19131)), _u19133) = _u19131) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19129, _u19129)), hAPP(hAPP(c_Product__Type_OPair(_u19129, _u19129), hAPP(hAPP(c_List_Onth(_u19129), _u19131), skolem472(_u19135, _u19133, _u19131, _u19129))), hAPP(hAPP(c_List_Onth(_u19129), _u19133), skolem472(_u19135, _u19133, _u19131, _u19129)))), _u19135)) )).
% 12.32/12.58 cnf(matrix-7611, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19130), tc_List_Olist(_u19130))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19130), tc_List_Olist(_u19130)), _u19132), _u19134)), c_List_Olexord(_u19130, _u19136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19134))) | ( hAPP(hAPP(c_List_Otake(_u19130), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), _u19134) != _u19132) )).
% 12.32/12.58 cnf(matrix-7612, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19130), tc_List_Olist(_u19130))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19130), tc_List_Olist(_u19130)), _u19132), _u19134)), c_List_Olexord(_u19130, _u19136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19124), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19130)), _u19134)))) | ( hAPP(hAPP(c_List_Otake(_u19130), _u19124), _u19132) != hAPP(hAPP(c_List_Otake(_u19130), _u19124), _u19134)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19130, _u19130)), hAPP(hAPP(c_Product__Type_OPair(_u19130, _u19130), hAPP(hAPP(c_List_Onth(_u19130), _u19132), _u19124)), hAPP(hAPP(c_List_Onth(_u19130), _u19134), _u19124))), _u19136)) )).
% 12.32/12.58 cnf(matrix-7613, plain, ( ( hAPP(hAPP(c_List_Otake(_u19137), _u19138), hAPP(hAPP(c_List_Oappend(_u19137), _u19139), _u19140)) = hAPP(hAPP(c_List_Oappend(_u19137), hAPP(hAPP(c_List_Otake(_u19137), _u19138), _u19139)), hAPP(hAPP(c_List_Otake(_u19137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19137)), _u19139))), _u19140))) )).
% 12.32/12.58 cnf(matrix-7614, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19141)), _u19142) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19143)), _u19144)) | ( c_Map_Omap__upds(_u19141, _u19143, _u19145, hAPP(hAPP(c_List_Oappend(_u19141), _u19142), _u19146), _u19144) = c_Map_Omap__upds(_u19141, _u19143, _u19145, _u19142, _u19144)) )).
% 12.32/12.58 cnf(matrix-7615, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19148) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19149)), _u19150)) | ( c_Map_Omap__upds(_u19147, _u19149, _u19151, _u19148, hAPP(hAPP(c_List_Oappend(_u19149), _u19150), _u19152)) = c_Map_Omap__upds(_u19147, _u19149, _u19151, _u19148, _u19150)) )).
% 12.32/12.58 cnf(matrix-7616, plain, ( ( hAPP(hAPP(c_List_Otake(_u19153), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19154) = c_List_Olist_ONil(_u19153)) )).
% 12.32/12.58 cnf(matrix-7617, plain, ( ( hAPP(hAPP(c_List_Otake(_u19158), _u19160), _u19162) != c_List_Olist_ONil(_u19158)) | ( _u19160 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19162 = c_List_Olist_ONil(_u19158)) )).
% 12.32/12.58 cnf(matrix-7618, plain, ( ( hAPP(hAPP(c_List_Otake(_u19159), _u19161), _u19163) = c_List_Olist_ONil(_u19159)) | ( _u19161 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7619, plain, ( ( hAPP(hAPP(c_List_Otake(_u19159), _u19161), _u19163) = c_List_Olist_ONil(_u19159)) | ( _u19163 != c_List_Olist_ONil(_u19159)) )).
% 12.32/12.58 cnf(matrix-7620, plain, ( ( hAPP(hAPP(c_List_Otake(_u19164), _u19165), c_List_Olist_ONil(_u19164)) = c_List_Olist_ONil(_u19164)) )).
% 12.32/12.58 cnf(matrix-7621, plain, ( ( c_Map_Omap__upds(_u19166, _u19167, _u19168, c_List_Olist_ONil(_u19166), _u19169) = _u19168) )).
% 12.32/12.58 cnf(matrix-7622, plain, ( ( c_Map_Omap__upds(_u19170, _u19171, _u19172, _u19173, c_List_Olist_ONil(_u19171)) = _u19172) )).
% 12.32/12.58 cnf(matrix-7623, plain, ( ( c_List_Osublist(_u19174, _u19175, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u19176)) = hAPP(hAPP(c_List_Otake(_u19174), _u19176), _u19175)) )).
% 12.32/12.58 cnf(matrix-7624, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u19177, _u19178)), _u19179), hAPP(hAPP(c_List_Ozip(_u19177, _u19178), _u19180), _u19181)) = hAPP(hAPP(c_List_Ozip(_u19177, _u19178), hAPP(hAPP(c_List_Otake(_u19177), _u19179), _u19180)), hAPP(hAPP(c_List_Otake(_u19178), _u19179), _u19181))) )).
% 12.32/12.58 cnf(matrix-7625, plain, ( ( hAPP(hAPP(c_List_Otake(_u19182), _u19183), hAPP(hAPP(c_List_Otake(_u19182), _u19184), _u19185)) = hAPP(hAPP(c_List_Otake(_u19182), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19183), _u19184)), _u19185)) )).
% 12.32/12.58 cnf(matrix-7626, plain, ( ( c_Map_Omap__add(_u19186, _u19187, _u19188, c_Map_Omap__upds(_u19186, _u19187, _u19189, _u19190, _u19191)) = c_Map_Omap__upds(_u19186, _u19187, c_Map_Omap__add(_u19186, _u19187, _u19188, _u19189), _u19190, _u19191)) )).
% 12.32/12.58 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19192), _u19193)) | hBOOL(hAPP(c_List_Odistinct(_u19192), hAPP(hAPP(c_List_Otake(_u19192), _u19194), _u19193))) )).
% 12.32/12.58 cnf(matrix-7628, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19195, tc_HOL_Obool)), hAPP(c_List_Oset(_u19195), hAPP(hAPP(c_List_Otake(_u19195), _u19196), _u19197))), hAPP(c_List_Oset(_u19195), _u19197))) )).
% 12.32/12.58 cnf(matrix-7629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), _u19199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19200, tc_HOL_Obool)), hAPP(c_List_Oset(_u19200), hAPP(hAPP(c_List_Otake(_u19200), _u19198), _u19201))), hAPP(c_List_Oset(_u19200), hAPP(hAPP(c_List_Otake(_u19200), _u19199), _u19201)))) )).
% 12.32/12.58 cnf(matrix-7630, plain, ( hBOOL(hAPP(hAPP(c_member(_u19202), _u19203), hAPP(c_List_Oset(_u19202), _u19204))) | ( hAPP(c_Map_Omap__upds(_u19202, _u19205, _u19206, _u19204, _u19207), _u19203) = hAPP(_u19206, _u19203)) )).
% 12.32/12.58 cnf(matrix-7631, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19208), _u19209), hAPP(c_List_Oset(_u19208), hAPP(hAPP(c_List_Otake(_u19208), _u19210), _u19211)))) | hBOOL(hAPP(hAPP(c_member(_u19208), _u19209), hAPP(c_List_Oset(_u19208), _u19211))) )).
% 12.32/12.58 cnf(matrix-7632, plain, ( ( hAPP(hAPP(c_List_Otake(_u19212), _u19213), hAPP(hAPP(c_List_Omap(_u19214, _u19212), _u19215), _u19216)) = hAPP(hAPP(c_List_Omap(_u19214, _u19212), _u19215), hAPP(hAPP(c_List_Otake(_u19214), _u19213), _u19216))) )).
% 12.32/12.58 cnf(matrix-7633, plain, ( ( hAPP(hAPP(c_List_Otake(_u19217), hAPP(c_Nat_OSuc, _u19218)), hAPP(hAPP(c_List_Olist_OCons(_u19217), _u19219), _u19220)) = hAPP(hAPP(c_List_Olist_OCons(_u19217), _u19219), hAPP(hAPP(c_List_Otake(_u19217), _u19218), _u19220))) )).
% 12.32/12.58 cnf(matrix-7634, plain, ( ( hAPP(hAPP(c_List_Otake(_u19221), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19221), _u19222), _u19223)) = hAPP(hAPP(c_List_Olist_OCons(_u19221), _u19222), c_List_Olist_ONil(_u19221))) )).
% 12.32/12.58 cnf(matrix-7635, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19231), _u19233), hAPP(c_List_Oset(_u19231), hAPP(hAPP(c_List_Otake(_u19231), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19235)), _u19237)), _u19239)))) | ( c_Map_Omap__upds(_u19231, _u19235, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19231, tc_Option_Ooption(_u19235)), _u19241), _u19233), hAPP(c_Option_Ooption_OSome(_u19235), _u19243)), _u19239, _u19237) = c_Map_Omap__upds(_u19231, _u19235, _u19241, _u19239, _u19237)) )).
% 12.32/12.58 cnf(matrix-7636, plain, ( hBOOL(hAPP(hAPP(c_member(_u19232), _u19234), hAPP(c_List_Oset(_u19232), hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19236)), _u19238)), _u19240)))) | ( c_Map_Omap__upds(_u19232, _u19236, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19232, tc_Option_Ooption(_u19236)), _u19242), _u19234), hAPP(c_Option_Ooption_OSome(_u19236), _u19244)), _u19240, _u19238) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19232, tc_Option_Ooption(_u19236)), c_Map_Omap__upds(_u19232, _u19236, _u19242, _u19240, _u19238)), _u19234), hAPP(c_Option_Ooption_OSome(_u19236), _u19244))) )).
% 12.32/12.58 cnf(matrix-7637, plain, ( ( c_Map_Odom(_u19245, _u19246, c_Map_Omap__upds(_u19245, _u19246, _u19247, _u19248, _u19249)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19245, tc_HOL_Obool)), hAPP(c_List_Oset(_u19245), hAPP(hAPP(c_List_Otake(_u19245), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19246)), _u19249)), _u19248))), c_Map_Odom(_u19245, _u19246, _u19247))) )).
% 12.32/12.58 cnf(matrix-7638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19250)), _u19251)), _u19252)) | ( hAPP(hAPP(c_List_Otake(_u19250), _u19252), _u19251) = _u19251) )).
% 12.32/12.58 cnf(matrix-7639, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19253)), hAPP(hAPP(c_List_Otake(_u19253), _u19254), _u19255)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19253)), _u19255)), _u19254)) )).
% 12.32/12.58 cnf(matrix-7640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19256), _u19257)) | ( hAPP(hAPP(c_List_Onth(_u19258), hAPP(hAPP(c_List_Otake(_u19258), _u19257), _u19259)), _u19256) = hAPP(hAPP(c_List_Onth(_u19258), _u19259), _u19256)) )).
% 12.32/12.58 cnf(matrix-7641, plain, ( ( c_Map_Omap__upds(_u19260, _u19261, _u19262, hAPP(hAPP(c_List_Olist_OCons(_u19260), _u19263), _u19264), hAPP(hAPP(c_List_Olist_OCons(_u19261), _u19265), _u19266)) = c_Map_Omap__upds(_u19260, _u19261, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19260, tc_Option_Ooption(_u19261)), _u19262), _u19263), hAPP(c_Option_Ooption_OSome(_u19261), _u19265)), _u19264, _u19266)) )).
% 12.32/12.58 cnf(matrix-7642, plain, ( ( hAPP(hAPP(c_List_Otake(_u19267), _u19268), hAPP(hAPP(c_List_Olist_OCons(_u19267), _u19269), _u19270)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19267), c_List_Olist_ONil(_u19267), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19267), tc_List_Olist(_u19267), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u19267), _u19269)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19267), tc_List_Olist(_u19267)), c_List_Otake(_u19267)), _u19270)), _u19268)) )).
% 12.32/12.58 cnf(matrix-7643, plain, ( ( _u19275 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19277), _u19275), hAPP(hAPP(c_List_Olist_OCons(_u19277), _u19279), _u19281)) = c_List_Olist_ONil(_u19277)) )).
% 12.32/12.58 cnf(matrix-7644, plain, ( ( _u19276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19278), _u19276), hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), _u19282)) = hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), hAPP(hAPP(c_List_Otake(_u19278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19276), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19282))) )).
% 12.32/12.58 cnf(matrix-7645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19283)), _u19284)), _u19285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19286)), _u19287))) | ( c_Map_Omap__upds(_u19283, _u19286, _u19288, _u19284, hAPP(hAPP(c_List_Olist__update(_u19286, _u19287), _u19285), _u19289)) = c_Map_Omap__upds(_u19283, _u19286, _u19288, _u19284, _u19287)) )).
% 12.32/12.58 cnf(matrix-7646, plain, ( hBOOL(hAPP(hAPP(c_member(_u19290), _u19291), hAPP(c_List_Oset(_u19290), _u19292))) | ( c_Map_Omap__upds(_u19290, _u19293, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19290, tc_Option_Ooption(_u19293)), _u19294), _u19291), hAPP(c_Option_Ooption_OSome(_u19293), _u19295)), _u19292, _u19296) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19290, tc_Option_Ooption(_u19293)), c_Map_Omap__upds(_u19290, _u19293, _u19294, _u19292, _u19296)), _u19291), hAPP(c_Option_Ooption_OSome(_u19293), _u19295))) )).
% 12.32/12.58 cnf(matrix-7647, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19301) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19303), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19301)), hAPP(hAPP(c_List_Olist_OCons(_u19303), _u19305), _u19307)) = c_List_Olist_ONil(_u19303)) )).
% 12.32/12.58 cnf(matrix-7648, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19304), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302)), hAPP(hAPP(c_List_Olist_OCons(_u19304), _u19306), _u19308)) = hAPP(hAPP(c_List_Olist_OCons(_u19304), _u19306), hAPP(hAPP(c_List_Otake(_u19304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19302)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19308))) )).
% 12.32/12.58 cnf(matrix-7649, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19309)), _u19310) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19311)), _u19312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19309, tc_HOL_Obool)), hAPP(c_List_Oset(_u19309), _u19310)), _u19313)) | ( c_Map_Orestrict__map(_u19309, _u19311, c_Map_Omap__upds(_u19309, _u19311, _u19314, _u19310, _u19312), _u19313) = c_Map_Omap__upds(_u19309, _u19311, c_Map_Orestrict__map(_u19309, _u19311, _u19314, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19309, tc_HOL_Obool)), _u19313), hAPP(c_List_Oset(_u19309), _u19310))), _u19310, _u19312)) )).
% 12.32/12.58 cnf(matrix-7650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19315), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19316)), _u19317))) | ( hAPP(hAPP(c_List_Otake(_u19316), hAPP(c_Nat_OSuc, _u19315)), _u19317) = hAPP(hAPP(c_List_Oappend(_u19316), hAPP(hAPP(c_List_Otake(_u19316), _u19315), _u19317)), hAPP(hAPP(c_List_Olist_OCons(_u19316), hAPP(hAPP(c_List_Onth(_u19316), _u19317), _u19315)), c_List_Olist_ONil(_u19316)))) )).
% 12.32/12.58 cnf(matrix-7651, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), _u19326), _u19330)), c_List_Olistrel1(_u19324, _u19334))) | ( _u19326 = _u19330) )).
% 12.32/12.58 cnf(matrix-7652, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), _u19326), _u19330)), c_List_Olistrel1(_u19324, _u19334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19324, _u19324)), hAPP(hAPP(c_Product__Type_OPair(_u19324, _u19324), _u19328), _u19332)), _u19334)) )).
% 12.32/12.58 cnf(matrix-7653, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | ( _u19328 = _u19332) | ( _u19326 = _u19330) )).
% 12.32/12.58 cnf(matrix-7654, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19324), tc_List_Olist(_u19324))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19324), tc_List_Olist(_u19324)), hAPP(hAPP(c_List_Oappend(_u19324), _u19326), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19328), c_List_Olist_ONil(_u19324)))), hAPP(hAPP(c_List_Oappend(_u19324), _u19330), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19332), c_List_Olist_ONil(_u19324))))), c_List_Olistrel1(_u19324, _u19334))) | ( _u19328 = _u19332) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19324, _u19324)), hAPP(hAPP(c_Product__Type_OPair(_u19324, _u19324), _u19328), _u19332)), _u19334)) )).
% 12.32/12.58 cnf(matrix-7655, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), hAPP(hAPP(c_List_Oappend(_u19325), _u19327), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19329), c_List_Olist_ONil(_u19325)))), hAPP(hAPP(c_List_Oappend(_u19325), _u19331), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19333), c_List_Olist_ONil(_u19325))))), c_List_Olistrel1(_u19325, _u19335))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), _u19327), _u19331)), c_List_Olistrel1(_u19325, _u19335))) | ( _u19329 != _u19333) )).
% 12.32/12.58 cnf(matrix-7656, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19325), tc_List_Olist(_u19325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19325), tc_List_Olist(_u19325)), hAPP(hAPP(c_List_Oappend(_u19325), _u19327), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19329), c_List_Olist_ONil(_u19325)))), hAPP(hAPP(c_List_Oappend(_u19325), _u19331), hAPP(hAPP(c_List_Olist_OCons(_u19325), _u19333), c_List_Olist_ONil(_u19325))))), c_List_Olistrel1(_u19325, _u19335))) | ( _u19327 != _u19331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19325, _u19325)), hAPP(hAPP(c_Product__Type_OPair(_u19325, _u19325), _u19329), _u19333)), _u19335)) )).
% 12.32/12.58 cnf(matrix-7657, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19337), tc_List_Olist(_u19337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19337), tc_List_Olist(_u19337)), hAPP(hAPP(c_List_Oappend(_u19337), _u19338), _u19339)), hAPP(hAPP(c_List_Oappend(_u19337), _u19338), _u19340))), c_List_Olexord(_u19337, _u19341))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19337, _u19337)), hAPP(hAPP(c_Product__Type_OPair(_u19337, _u19337), skolem473(_u19341, _u19340, _u19339, _u19338, _u19337)), skolem473(_u19341, _u19340, _u19339, _u19338, _u19337))), _u19341)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19337), tc_List_Olist(_u19337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19337), tc_List_Olist(_u19337)), _u19339), _u19340)), c_List_Olexord(_u19337, _u19341))) )).
% 12.32/12.58 cnf(matrix-7658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19342), _u19343), c_Wellfounded_Oacc(_u19342, _u19344))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19342)), _u19345), c_Wellfounded_Oacc(tc_List_Olist(_u19342), c_List_Olistrel1(_u19342, _u19344)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19342)), hAPP(hAPP(c_List_Olist_OCons(_u19342), _u19343), _u19345)), c_Wellfounded_Oacc(tc_List_Olist(_u19342), c_List_Olistrel1(_u19342, _u19344)))) )).
% 12.32/12.58 cnf(matrix-7659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19346, _u19346), tc_HOL_Obool)), _u19347), _u19348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19346), tc_List_Olist(_u19346)), tc_HOL_Obool)), c_List_Olistrel1(_u19346, _u19347)), c_List_Olistrel1(_u19346, _u19348))) )).
% 12.32/12.58 cnf(matrix-7660, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19349), tc_List_Olist(_u19349)), tc_HOL_Obool)), c_List_Olistrel1(_u19349, c_Transitive__Closure_Ortrancl(_u19349, _u19350))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19349), c_List_Olistrel1(_u19349, _u19350)))) )).
% 12.32/12.58 cnf(matrix-7661, plain, ( ( c_List_Olistrel1(_u19351, hAPP(c_Relation_Oconverse(_u19351, _u19351), _u19352)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19351), tc_List_Olist(_u19351)), c_List_Olistrel1(_u19351, _u19352))) )).
% 12.32/12.58 cnf(matrix-7662, plain, ( ( c_List_Olistrel(_u19353, c_Transitive__Closure_Ortrancl(_u19353, _u19354)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19353), c_List_Olistrel1(_u19353, _u19354))) )).
% 12.32/12.58 cnf(matrix-7663, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19355), tc_List_Olist(_u19355)), tc_HOL_Obool)), c_List_Olistrel(_u19355, _u19356)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19355), c_List_Olistrel1(_u19355, _u19356)))) )).
% 12.32/12.58 cnf(matrix-7664, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19357), tc_List_Olist(_u19357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19357), tc_List_Olist(_u19357)), _u19358), _u19359)), c_List_Olistrel1(_u19357, _u19360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19357), tc_List_Olist(_u19357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19357), tc_List_Olist(_u19357)), hAPP(hAPP(c_List_Olist_OCons(_u19357), _u19361), _u19358)), hAPP(hAPP(c_List_Olist_OCons(_u19357), _u19361), _u19359))), c_List_Olistrel1(_u19357, _u19360))) )).
% 12.32/12.58 cnf(matrix-7665, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19362), tc_List_Olist(_u19362))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19362), tc_List_Olist(_u19362)), _u19363), _u19364)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19362), c_List_Olistrel1(_u19362, _u19365)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19362), tc_List_Olist(_u19362))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19362), tc_List_Olist(_u19362)), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19363)), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19364))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19362), c_List_Olistrel1(_u19362, _u19365)))) )).
% 12.32/12.58 cnf(matrix-7666, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19367), tc_List_Olist(_u19367))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19367), tc_List_Olist(_u19367)), _u19368), _u19369)), c_List_Olistrel1(_u19367, _u19370))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19367)), _u19368) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19367)), _u19369)) )).
% 12.32/12.58 cnf(matrix-7667, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19371), tc_List_Olist(_u19371))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19371), tc_List_Olist(_u19371)), _u19372), _u19373)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19371), c_List_Olistrel1(_u19371, _u19374)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19371)), _u19372) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19371)), _u19373)) )).
% 12.32/12.58 cnf(matrix-7668, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19375), tc_List_Olist(_u19375))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19375), tc_List_Olist(_u19375)), c_List_Olist_ONil(_u19375)), _u19376)), c_List_Olistrel1(_u19375, _u19377))) )).
% 12.32/12.58 cnf(matrix-7669, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19378), tc_List_Olist(_u19378))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19378), tc_List_Olist(_u19378)), _u19379), c_List_Olist_ONil(_u19378))), c_List_Olistrel1(_u19378, _u19380))) )).
% 12.32/12.58 cnf(matrix-7670, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), hAPP(hAPP(c_List_Oappend(_u19381), _u19382), _u19385)), hAPP(hAPP(c_List_Oappend(_u19381), _u19383), _u19386))), c_List_Olistrel1(_u19381, _u19384))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), _u19382), _u19383)), c_List_Olistrel1(_u19381, _u19384))) | ( _u19385 != _u19386) )).
% 12.32/12.58 cnf(matrix-7671, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), hAPP(hAPP(c_List_Oappend(_u19381), _u19382), _u19385)), hAPP(hAPP(c_List_Oappend(_u19381), _u19383), _u19386))), c_List_Olistrel1(_u19381, _u19384))) | ( _u19382 != _u19383) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19381), tc_List_Olist(_u19381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19381), tc_List_Olist(_u19381)), _u19385), _u19386)), c_List_Olistrel1(_u19381, _u19384))) )).
% 12.32/12.58 cnf(matrix-7672, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19391), tc_List_Olist(_u19391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), _u19393), _u19395)), c_List_Olistrel1(_u19391, hAPP(c_Relation_Oconverse(_u19391, _u19391), _u19397)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19391), tc_List_Olist(_u19391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), _u19393), _u19395)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19391), tc_List_Olist(_u19391)), c_List_Olistrel1(_u19391, _u19397)))) )).
% 12.32/12.58 cnf(matrix-7673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19392), tc_List_Olist(_u19392))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), _u19394), _u19396)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), c_List_Olistrel1(_u19392, _u19398)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19392), tc_List_Olist(_u19392))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19392), tc_List_Olist(_u19392)), _u19394), _u19396)), c_List_Olistrel1(_u19392, hAPP(c_Relation_Oconverse(_u19392, _u19392), _u19398)))) )).
% 12.32/12.58 cnf(matrix-7674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19399), tc_List_Olist(_u19399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19399), tc_List_Olist(_u19399)), _u19400), _u19401)), c_List_Olistrel(_u19399, _u19402))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19399), tc_List_Olist(_u19399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19399), tc_List_Olist(_u19399)), _u19400), _u19401)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19399), c_List_Olistrel1(_u19399, _u19402)))) )).
% 12.32/12.58 cnf(matrix-7675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19403), tc_List_Olist(_u19403))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19403), tc_List_Olist(_u19403)), _u19404), _u19405)), c_List_Olistrel1(_u19403, _u19406))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19403), tc_List_Olist(_u19403))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19403), tc_List_Olist(_u19403)), _u19404), _u19405)), c_List_Olistrel(_u19403, c_Transitive__Closure_Ortrancl(_u19403, _u19406)))) )).
% 12.32/12.58 cnf(matrix-7676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19413, _u19413)), hAPP(hAPP(c_Product__Type_OPair(_u19413, _u19413), _u19415), _u19419)), _u19423)) | ( _u19415 = _u19419) )).
% 12.32/12.58 cnf(matrix-7677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19413, _u19413)), hAPP(hAPP(c_Product__Type_OPair(_u19413, _u19413), _u19415), _u19419)), _u19423)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), _u19417), _u19421)), c_List_Olistrel1(_u19413, _u19423))) )).
% 12.32/12.58 cnf(matrix-7678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | ( _u19417 = _u19421) | ( _u19415 = _u19419) )).
% 12.32/12.58 cnf(matrix-7679, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19415), _u19417)), hAPP(hAPP(c_List_Olist_OCons(_u19413), _u19419), _u19421))), c_List_Olistrel1(_u19413, _u19423))) | ( _u19417 = _u19421) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19413), tc_List_Olist(_u19413))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19413), tc_List_Olist(_u19413)), _u19417), _u19421)), c_List_Olistrel1(_u19413, _u19423))) )).
% 12.32/12.58 cnf(matrix-7680, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19416), _u19418)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19420), _u19422))), c_List_Olistrel1(_u19414, _u19424))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19414, _u19414)), hAPP(hAPP(c_Product__Type_OPair(_u19414, _u19414), _u19416), _u19420)), _u19424)) | ( _u19418 != _u19422) )).
% 12.32/12.58 cnf(matrix-7681, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19416), _u19418)), hAPP(hAPP(c_List_Olist_OCons(_u19414), _u19420), _u19422))), c_List_Olistrel1(_u19414, _u19424))) | ( _u19416 != _u19420) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19414), tc_List_Olist(_u19414))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19414), tc_List_Olist(_u19414)), _u19418), _u19422)), c_List_Olistrel1(_u19414, _u19424))) )).
% 12.32/12.58 cnf(matrix-7682, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19425, _u19425)), hAPP(hAPP(c_Product__Type_OPair(_u19425, _u19425), _u19426), _u19427)), _u19428)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19425), tc_List_Olist(_u19425))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19425), tc_List_Olist(_u19425)), hAPP(hAPP(c_List_Olist_OCons(_u19425), _u19426), _u19429)), hAPP(hAPP(c_List_Olist_OCons(_u19425), _u19427), _u19429))), c_List_Olistrel1(_u19425, _u19428))) )).
% 12.32/12.58 cnf(matrix-7683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19430, _u19430), tc_HOL_Obool)), _u19431), _u19432)) | ~c_Relation_Orefl__on(_u19430, c_Orderings_Otop__class_Otop(tc_fun(_u19430, tc_HOL_Obool)), _u19432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19430), tc_List_Olist(_u19430)), tc_HOL_Obool)), c_List_Olistrel1(_u19430, _u19431)), c_List_Olistrel(_u19430, _u19432))) )).
% 12.32/12.58 cnf(matrix-7684, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19433, _u19433)), hAPP(hAPP(c_Product__Type_OPair(_u19433, _u19433), _u19434), _u19435)), _u19436)) | ( _u19437 != hAPP(hAPP(c_List_Oappend(_u19433), _u19438), hAPP(hAPP(c_List_Olist_OCons(_u19433), _u19434), _u19439))) | ( _u19440 != hAPP(hAPP(c_List_Oappend(_u19433), _u19438), hAPP(hAPP(c_List_Olist_OCons(_u19433), _u19435), _u19439))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19433), tc_List_Olist(_u19433))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19433), tc_List_Olist(_u19433)), _u19437), _u19440)), c_List_Olistrel1(_u19433, _u19436))) )).
% 12.32/12.58 cnf(matrix-7685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19441, _u19441)), hAPP(hAPP(c_Product__Type_OPair(_u19441, _u19441), _u19442), _u19443)), c_Transitive__Closure_Ortrancl(_u19441, _u19444))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19441), tc_List_Olist(_u19441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19441), tc_List_Olist(_u19441)), _u19445), _u19446)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19441), c_List_Olistrel1(_u19441, _u19444)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19441), tc_List_Olist(_u19441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19441), tc_List_Olist(_u19441)), hAPP(hAPP(c_List_Olist_OCons(_u19441), _u19442), _u19445)), hAPP(hAPP(c_List_Olist_OCons(_u19441), _u19443), _u19446))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19441), c_List_Olistrel1(_u19441, _u19444)))) )).
% 12.32/12.58 cnf(matrix-7686, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19455, _u19455)), hAPP(hAPP(c_Product__Type_OPair(_u19455, _u19455), hAPP(hAPP(c_List_Onth(_u19455), _u19457), skolem475(_u19461, _u19459, _u19457, _u19455))), skolem474(_u19461, _u19459, _u19457, _u19455))), _u19461)) )).
% 12.32/12.58 cnf(matrix-7687, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem475(_u19461, _u19459, _u19457, _u19455)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19455)), _u19457))) )).
% 12.32/12.58 cnf(matrix-7688, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19455), tc_List_Olist(_u19455))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19455), tc_List_Olist(_u19455)), _u19457), _u19459)), c_List_Olistrel1(_u19455, _u19461))) | ( _u19459 = hAPP(hAPP(c_List_Olist__update(_u19455, _u19457), skolem475(_u19461, _u19459, _u19457, _u19455)), skolem474(_u19461, _u19459, _u19457, _u19455))) )).
% 12.32/12.58 cnf(matrix-7689, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19456, _u19456)), hAPP(hAPP(c_Product__Type_OPair(_u19456, _u19456), hAPP(hAPP(c_List_Onth(_u19456), _u19458), _u19449)), _u19450)), _u19462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19456)), _u19458))) | ( _u19460 != hAPP(hAPP(c_List_Olist__update(_u19456, _u19458), _u19449), _u19450)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19456), tc_List_Olist(_u19456))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19456), tc_List_Olist(_u19456)), _u19458), _u19460)), c_List_Olistrel1(_u19456, _u19462))) )).
% 12.32/12.58 cnf(matrix-7690, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19467, _u19467)), hAPP(hAPP(c_Product__Type_OPair(_u19467, _u19467), skolem476(_u19470, _u19469, _u19468, _u19467)), skolem477(_u19470, _u19469, _u19468, _u19467))), _u19470)) )).
% 12.32/12.58 cnf(matrix-7691, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | ( _u19468 = hAPP(hAPP(c_List_Oappend(_u19467), skolem478(_u19470, _u19469, _u19468, _u19467)), hAPP(hAPP(c_List_Olist_OCons(_u19467), skolem476(_u19470, _u19469, _u19468, _u19467)), skolem479(_u19470, _u19469, _u19468, _u19467)))) )).
% 12.32/12.58 cnf(matrix-7692, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19467), tc_List_Olist(_u19467))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19467), tc_List_Olist(_u19467)), _u19468), _u19469)), c_List_Olistrel1(_u19467, _u19470))) | ( _u19469 = hAPP(hAPP(c_List_Oappend(_u19467), skolem478(_u19470, _u19469, _u19468, _u19467)), hAPP(hAPP(c_List_Olist_OCons(_u19467), skolem477(_u19470, _u19469, _u19468, _u19467)), skolem479(_u19470, _u19469, _u19468, _u19467)))) )).
% 12.32/12.58 cnf(matrix-7693, plain, ( ( hAPP(c_List_Orotate1(_u19471), _u19472) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19471), _u19471, c_List_Olist_ONil(_u19471), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19471), tc_fun(tc_List_Olist(_u19471), tc_List_Olist(_u19471)), _u19471), hAPP(c_COMBC(tc_List_Olist(_u19471), tc_List_Olist(_u19471), tc_List_Olist(_u19471)), c_List_Oappend(_u19471))), hAPP(hAPP(c_COMBC(_u19471, tc_List_Olist(_u19471), tc_List_Olist(_u19471)), c_List_Olist_OCons(_u19471)), c_List_Olist_ONil(_u19471)))), _u19472)) )).
% 12.32/12.58 cnf(matrix-7694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19473), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19475))) | ( hAPP(hAPP(c_List_Olist__update(_u19474, _u19475), _u19473), _u19476) = hAPP(hAPP(c_List_Oappend(_u19474), hAPP(hAPP(c_List_Otake(_u19474), _u19473), _u19475)), hAPP(hAPP(c_List_Olist_OCons(_u19474), _u19476), hAPP(hAPP(c_List_Odrop(_u19474), hAPP(c_Nat_OSuc, _u19473)), _u19475)))) )).
% 12.32/12.58 cnf(matrix-7695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19477), _u19478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19479, tc_HOL_Obool)), hAPP(c_List_Oset(_u19479), hAPP(hAPP(c_List_Odrop(_u19479), _u19478), _u19480))), hAPP(c_List_Oset(_u19479), hAPP(hAPP(c_List_Odrop(_u19479), _u19477), _u19480)))) )).
% 12.32/12.58 cnf(matrix-7696, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19484), _u19486), _u19488) != c_List_Olist_ONil(_u19484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19484)), _u19488)), _u19486)) )).
% 12.32/12.58 cnf(matrix-7697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19485)), _u19489)), _u19487)) | ( hAPP(hAPP(c_List_Odrop(_u19485), _u19487), _u19489) = c_List_Olist_ONil(_u19485)) )).
% 12.32/12.58 cnf(matrix-7698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19490)), _u19491)), _u19492)) | ( hAPP(hAPP(c_List_Odrop(_u19490), _u19492), _u19491) = c_List_Olist_ONil(_u19490)) )).
% 12.32/12.58 cnf(matrix-7699, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19493), _u19494), _u19495) != hAPP(hAPP(c_List_Olist_OCons(_u19493), _u19496), _u19497)) | ( hAPP(hAPP(c_List_Onth(_u19493), _u19495), _u19494) = _u19496) )).
% 12.32/12.58 cnf(matrix-7700, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19498)), hAPP(hAPP(c_List_Odrop(_u19498), _u19499), _u19500)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19498)), _u19500)), _u19499)) )).
% 12.32/12.58 cnf(matrix-7701, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19501)), hAPP(c_List_Orotate1(_u19501), _u19502)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19501)), _u19502)) )).
% 12.32/12.58 cnf(matrix-7702, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19503), hAPP(c_Nat_OSuc, _u19504)), hAPP(hAPP(c_List_Olist_OCons(_u19503), _u19505), _u19506)) = hAPP(hAPP(c_List_Odrop(_u19503), _u19504), _u19506)) )).
% 12.32/12.58 cnf(matrix-7703, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19507), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19507), _u19508), _u19509)) = _u19509) )).
% 12.32/12.58 cnf(matrix-7704, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19510), _u19511), hAPP(hAPP(c_List_Omap(_u19512, _u19510), _u19513), _u19514)) = hAPP(hAPP(c_List_Omap(_u19512, _u19510), _u19513), hAPP(hAPP(c_List_Odrop(_u19512), _u19511), _u19514))) )).
% 12.32/12.58 cnf(matrix-7705, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19515), _u19516), hAPP(c_List_Oset(_u19515), hAPP(hAPP(c_List_Odrop(_u19515), _u19517), _u19518)))) | hBOOL(hAPP(hAPP(c_member(_u19515), _u19516), hAPP(c_List_Oset(_u19515), _u19518))) )).
% 12.32/12.58 cnf(matrix-7706, plain, ( ( hAPP(c_List_Oset(_u19519), hAPP(c_List_Orotate1(_u19519), _u19520)) = hAPP(c_List_Oset(_u19519), _u19520)) )).
% 12.32/12.58 cnf(matrix-7707, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19521, tc_HOL_Obool)), hAPP(c_List_Oset(_u19521), hAPP(hAPP(c_List_Odrop(_u19521), _u19522), _u19523))), hAPP(c_List_Oset(_u19521), _u19523))) )).
% 12.32/12.58 cnf(matrix-7708, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19524), _u19525)) | hBOOL(hAPP(c_List_Odistinct(_u19524), hAPP(hAPP(c_List_Odrop(_u19524), _u19526), _u19525))) )).
% 12.32/12.58 cnf(matrix-7709, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19529), hAPP(c_List_Orotate1(_u19529), _u19531))) | hBOOL(hAPP(c_List_Odistinct(_u19529), _u19531)) )).
% 12.32/12.58 cnf(matrix-7710, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19530), _u19532)) | hBOOL(hAPP(c_List_Odistinct(_u19530), hAPP(c_List_Orotate1(_u19530), _u19532))) )).
% 12.32/12.58 cnf(matrix-7711, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19533), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19534) = _u19534) )).
% 12.32/12.58 cnf(matrix-7712, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19535), _u19536), hAPP(hAPP(c_List_Odrop(_u19535), _u19537), _u19538)) = hAPP(hAPP(c_List_Odrop(_u19535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19536), _u19537)), _u19538)) )).
% 12.32/12.58 cnf(matrix-7713, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19539, _u19540)), _u19541), hAPP(hAPP(c_List_Ozip(_u19539, _u19540), _u19542), _u19543)) = hAPP(hAPP(c_List_Ozip(_u19539, _u19540), hAPP(hAPP(c_List_Odrop(_u19539), _u19541), _u19542)), hAPP(hAPP(c_List_Odrop(_u19540), _u19541), _u19543))) )).
% 12.32/12.58 cnf(matrix-7714, plain, ( ( hAPP(c_List_Orotate1(_u19546), _u19548) != c_List_Olist_ONil(_u19546)) | ( _u19548 = c_List_Olist_ONil(_u19546)) )).
% 12.32/12.58 cnf(matrix-7715, plain, ( ( _u19549 != c_List_Olist_ONil(_u19547)) | ( hAPP(c_List_Orotate1(_u19547), _u19549) = c_List_Olist_ONil(_u19547)) )).
% 12.32/12.58 cnf(matrix-7716, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19550), _u19551), c_List_Olist_ONil(_u19550)) = c_List_Olist_ONil(_u19550)) )).
% 12.32/12.58 cnf(matrix-7717, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19552), _u19553), hAPP(hAPP(c_List_Oappend(_u19552), _u19554), _u19555)) = hAPP(hAPP(c_List_Oappend(_u19552), hAPP(hAPP(c_List_Odrop(_u19552), _u19553), _u19554)), hAPP(hAPP(c_List_Odrop(_u19552), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19552)), _u19554))), _u19555))) )).
% 12.32/12.58 cnf(matrix-7718, plain, ( ( hAPP(hAPP(c_List_Otake(_u19556), _u19557), hAPP(hAPP(c_List_Odrop(_u19556), _u19558), _u19559)) = hAPP(hAPP(c_List_Odrop(_u19556), _u19558), hAPP(hAPP(c_List_Otake(_u19556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19557), _u19558)), _u19559))) )).
% 12.32/12.58 cnf(matrix-7719, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19560), _u19561), hAPP(hAPP(c_List_Otake(_u19560), _u19562), _u19563)) = hAPP(hAPP(c_List_Otake(_u19560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19562), _u19561)), hAPP(hAPP(c_List_Odrop(_u19560), _u19561), _u19563))) )).
% 12.32/12.58 cnf(matrix-7720, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19564), hAPP(hAPP(c_List_Otake(_u19564), _u19565), _u19566)), hAPP(hAPP(c_List_Odrop(_u19564), _u19565), _u19566)) = _u19566) )).
% 12.32/12.58 cnf(matrix-7721, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19571), _u19573), _u19575) != _u19577) | ( _u19573 = hAPP(hAPP(c_List_Otake(_u19571), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19571)), _u19573)), _u19577)) )).
% 12.32/12.58 cnf(matrix-7722, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19571), _u19573), _u19575) != _u19577) | ( _u19575 = hAPP(hAPP(c_List_Odrop(_u19571), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19571)), _u19573)), _u19577)) )).
% 12.32/12.58 cnf(matrix-7723, plain, ( ( _u19574 != hAPP(hAPP(c_List_Otake(_u19572), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19572)), _u19574)), _u19578)) | ( _u19576 != hAPP(hAPP(c_List_Odrop(_u19572), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19572)), _u19574)), _u19578)) | ( hAPP(hAPP(c_List_Oappend(_u19572), _u19574), _u19576) = _u19578) )).
% 12.32/12.58 cnf(matrix-7724, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19579), _u19580), hAPP(hAPP(c_List_Olist_OCons(_u19579), _u19581), _u19582)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19579), hAPP(hAPP(c_List_Olist_OCons(_u19579), _u19581), _u19582), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19579), tc_List_Olist(_u19579)), c_List_Odrop(_u19579)), _u19582), _u19580)) )).
% 12.32/12.58 cnf(matrix-7725, plain, ( ( _u19587 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19589), _u19587), hAPP(hAPP(c_List_Olist_OCons(_u19589), _u19591), _u19593)) = hAPP(hAPP(c_List_Olist_OCons(_u19589), _u19591), _u19593)) )).
% 12.32/12.58 cnf(matrix-7726, plain, ( ( _u19588 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19590), _u19588), hAPP(hAPP(c_List_Olist_OCons(_u19590), _u19592), _u19594)) = hAPP(hAPP(c_List_Odrop(_u19590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19588), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19594)) )).
% 12.32/12.58 cnf(matrix-7727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19595), _u19596)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19597)), _u19598))) | ( hAPP(hAPP(c_List_Onth(_u19597), hAPP(hAPP(c_List_Odrop(_u19597), _u19595), _u19598)), _u19596) = hAPP(hAPP(c_List_Onth(_u19597), _u19598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19595), _u19596))) )).
% 12.32/12.58 cnf(matrix-7728, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( _u19606 = hAPP(hAPP(c_List_Otake(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), _u19610)) )).
% 12.32/12.58 cnf(matrix-7729, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( _u19608 = hAPP(hAPP(c_List_Oappend(_u19604), hAPP(hAPP(c_List_Odrop(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), _u19610)), _u19612)) )).
% 12.32/12.58 cnf(matrix-7730, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( hAPP(hAPP(c_List_Otake(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610)), _u19606) = _u19610) )).
% 12.32/12.58 cnf(matrix-7731, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19604), _u19606), _u19608) != hAPP(hAPP(c_List_Oappend(_u19604), _u19610), _u19612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19606)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610))) | ( hAPP(hAPP(c_List_Oappend(_u19604), hAPP(hAPP(c_List_Odrop(_u19604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19610)), _u19606)), _u19608) = _u19612) )).
% 12.32/12.58 cnf(matrix-7732, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611))) | ( hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607) != _u19611) | ( hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607)), _u19609) != _u19613) )).
% 12.32/12.58 cnf(matrix-7733, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | ( _u19607 != hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)) | ( _u19609 != hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)), _u19613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611))) )).
% 12.32/12.58 cnf(matrix-7734, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19605), _u19607), _u19609) = hAPP(hAPP(c_List_Oappend(_u19605), _u19611), _u19613)) | ( _u19607 != hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)) | ( _u19609 != hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19607)), _u19611)), _u19613)) | ( hAPP(hAPP(c_List_Otake(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607) != _u19611) | ( hAPP(hAPP(c_List_Oappend(_u19605), hAPP(hAPP(c_List_Odrop(_u19605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19605)), _u19611)), _u19607)), _u19609) != _u19613) )).
% 12.32/12.58 cnf(matrix-7735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19614), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19615)), _u19616))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19615), hAPP(hAPP(c_List_Onth(_u19615), _u19616), _u19614)), hAPP(hAPP(c_List_Odrop(_u19615), hAPP(c_Nat_OSuc, _u19614)), _u19616)) = hAPP(hAPP(c_List_Odrop(_u19615), _u19614), _u19616)) )).
% 12.32/12.58 cnf(matrix-7736, plain, ( ( hAPP(c_List_Orotate1(_u19617), c_List_Olist_ONil(_u19617)) = c_List_Olist_ONil(_u19617)) )).
% 12.32/12.58 cnf(matrix-7737, plain, ( ( hAPP(c_List_Orotate1(_u19618), hAPP(hAPP(c_List_Olist_OCons(_u19618), _u19619), _u19620)) = hAPP(hAPP(c_List_Oappend(_u19618), _u19620), hAPP(hAPP(c_List_Olist_OCons(_u19618), _u19619), c_List_Olist_ONil(_u19618)))) )).
% 12.32/12.58 cnf(matrix-7738, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19625) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19627), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19625)), hAPP(hAPP(c_List_Olist_OCons(_u19627), _u19629), _u19631)) = hAPP(hAPP(c_List_Olist_OCons(_u19627), _u19629), _u19631)) )).
% 12.32/12.58 cnf(matrix-7739, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19628), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626)), hAPP(hAPP(c_List_Olist_OCons(_u19628), _u19630), _u19632)) = hAPP(hAPP(c_List_Odrop(_u19628), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19626)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19632)) )).
% 12.32/12.58 cnf(matrix-7740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19633), _u19634)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19635)), _u19636))) | ( hAPP(hAPP(c_List_Otake(_u19635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19633), _u19634)), _u19636) = hAPP(hAPP(c_List_Oappend(_u19635), hAPP(hAPP(c_List_Otake(_u19635), _u19633), _u19636)), hAPP(hAPP(c_List_Otake(_u19635), _u19634), hAPP(hAPP(c_List_Odrop(_u19635), _u19633), _u19636)))) )).
% 12.32/12.58 cnf(matrix-7741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19637)), _u19638)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19637), _u19638) = _u19638) )).
% 12.32/12.58 cnf(matrix-7742, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19639, _u19640), hAPP(hAPP(c_List_Oappend(_u19639), _u19641), _u19642)), _u19643) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19639, _u19640)), hAPP(hAPP(c_List_Ozip(_u19639, _u19640), _u19641), hAPP(hAPP(c_List_Otake(_u19640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19639)), _u19641)), _u19643))), hAPP(hAPP(c_List_Ozip(_u19639, _u19640), _u19642), hAPP(hAPP(c_List_Odrop(_u19640), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19639)), _u19641)), _u19643)))) )).
% 12.32/12.58 cnf(matrix-7743, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19644, _u19645), _u19646), hAPP(hAPP(c_List_Oappend(_u19645), _u19647), _u19648)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19644, _u19645)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), hAPP(hAPP(c_List_Otake(_u19644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)), _u19646)), _u19647)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), hAPP(hAPP(c_List_Odrop(_u19644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)), _u19646)), _u19648))) )).
% 12.32/12.58 cnf(matrix-7744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19649), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19650)), _u19651))) | ( _u19651 = hAPP(hAPP(c_List_Oappend(_u19650), hAPP(hAPP(c_List_Otake(_u19650), _u19649), _u19651)), hAPP(hAPP(c_List_Olist_OCons(_u19650), hAPP(hAPP(c_List_Onth(_u19650), _u19651), _u19649)), hAPP(hAPP(c_List_Odrop(_u19650), hAPP(c_Nat_OSuc, _u19649)), _u19651)))) )).
% 12.32/12.58 cnf(matrix-7745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19652), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19653)), _u19654))) | ( hAPP(hAPP(c_List_Oappend(_u19653), hAPP(hAPP(c_List_Otake(_u19653), _u19652), _u19654)), hAPP(hAPP(c_List_Olist_OCons(_u19653), hAPP(c_List_Ohd(_u19653), hAPP(hAPP(c_List_Odrop(_u19653), _u19652), _u19654))), c_List_Olist_ONil(_u19653))) = hAPP(hAPP(c_List_Otake(_u19653), hAPP(c_Nat_OSuc, _u19652)), _u19654)) )).
% 12.32/12.58 cnf(matrix-7746, plain, ( ( _u19655 = c_List_Olist_ONil(_u19656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19657), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19656)), _u19655))) | ( hAPP(c_List_Ohd(_u19656), hAPP(hAPP(c_List_Odrop(_u19656), _u19657), _u19655)) = hAPP(hAPP(c_List_Onth(_u19656), _u19655), _u19657)) )).
% 12.32/12.58 cnf(matrix-7747, plain, ( ( _u19658 = c_List_Olist_ONil(_u19659)) | ( hAPP(c_List_Ohd(_u19660), hAPP(hAPP(c_List_Omap(_u19659, _u19660), _u19661), _u19658)) = hAPP(_u19661, hAPP(c_List_Ohd(_u19659), _u19658))) )).
% 12.32/12.58 cnf(matrix-7748, plain, ( ( hAPP(c_List_Ohd(_u19662), hAPP(hAPP(c_List_Olist_OCons(_u19662), _u19663), _u19664)) = _u19663) )).
% 12.32/12.58 cnf(matrix-7749, plain, ( ( _u19668 != c_List_Olist_ONil(_u19670)) | ( hAPP(c_List_Ohd(_u19670), hAPP(hAPP(c_List_Oappend(_u19670), _u19668), _u19672)) = hAPP(c_List_Ohd(_u19670), _u19672)) )).
% 12.32/12.58 cnf(matrix-7750, plain, ( ( _u19669 = c_List_Olist_ONil(_u19671)) | ( hAPP(c_List_Ohd(_u19671), hAPP(hAPP(c_List_Oappend(_u19671), _u19669), _u19673)) = hAPP(c_List_Ohd(_u19671), _u19669)) )).
% 12.32/12.58 cnf(matrix-7751, plain, ( ( _u19674 = c_List_Olist_ONil(_u19675)) | ( hAPP(c_List_Ohd(_u19675), hAPP(hAPP(c_List_Oappend(_u19675), _u19674), _u19676)) = hAPP(c_List_Ohd(_u19675), _u19674)) )).
% 12.32/12.58 cnf(matrix-7752, plain, ( ( _u19677 = c_List_Olist_ONil(_u19678)) | hBOOL(hAPP(hAPP(c_member(_u19678), hAPP(c_List_Ohd(_u19678), _u19677)), hAPP(c_List_Oset(_u19678), _u19677))) )).
% 12.32/12.58 cnf(matrix-7753, plain, ( ( _u19679 = c_List_Olist_ONil(_u19680)) | ( hAPP(c_List_Ohd(_u19680), _u19679) = hAPP(hAPP(c_List_Onth(_u19680), _u19679), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7754, plain, ( ( _u19681 = c_List_Olist_ONil(_u19682)) | ( hAPP(c_List_Orotate1(_u19682), _u19681) = hAPP(hAPP(c_List_Oappend(_u19682), hAPP(c_List_Otl(_u19682), _u19681)), hAPP(hAPP(c_List_Olist_OCons(_u19682), hAPP(c_List_Ohd(_u19682), _u19681)), c_List_Olist_ONil(_u19682)))) )).
% 12.32/12.58 cnf(matrix-7755, plain, ( ( _u19683 = c_List_Olist_ONil(_u19684)) | ( hAPP(c_List_Ohd(_u19684), hAPP(c_List_Orotate(_u19684, _u19685), _u19683)) = hAPP(hAPP(c_List_Onth(_u19684), _u19683), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19685, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19684)), _u19683)))) )).
% 12.32/12.58 cnf(matrix-7756, plain, ( ( hAPP(c_List_Otl(_u19686), hAPP(hAPP(c_List_Odrop(_u19686), _u19687), _u19688)) = hAPP(hAPP(c_List_Odrop(_u19686), _u19687), hAPP(c_List_Otl(_u19686), _u19688))) )).
% 12.32/12.58 cnf(matrix-7757, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19689), _u19690), hAPP(c_List_Otl(_u19689), _u19691)) = hAPP(c_List_Otl(_u19689), hAPP(hAPP(c_List_Odrop(_u19689), _u19690), _u19691))) )).
% 12.32/12.58 cnf(matrix-7758, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19692), hAPP(c_Nat_OSuc, _u19693)), _u19694) = hAPP(hAPP(c_List_Odrop(_u19692), _u19693), hAPP(c_List_Otl(_u19692), _u19694))) )).
% 12.32/12.58 cnf(matrix-7759, plain, ( ( _u19695 = c_List_Olist_ONil(_u19696)) | ( hAPP(c_List_Otl(_u19696), hAPP(hAPP(c_List_Oappend(_u19696), _u19695), _u19697)) = hAPP(hAPP(c_List_Oappend(_u19696), hAPP(c_List_Otl(_u19696), _u19695)), _u19697)) )).
% 12.32/12.58 cnf(matrix-7760, plain, ( ( hAPP(c_List_Orotate(_u19698, _u19699), _u19700) = hAPP(c_List_Orotate(_u19698, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19699, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19698)), _u19700))), _u19700)) )).
% 12.32/12.58 cnf(matrix-7761, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19701)), hAPP(c_List_Orotate(_u19701, _u19702), _u19703)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19701)), _u19703)) )).
% 12.32/12.58 cnf(matrix-7762, plain, ( ( hAPP(c_List_Otl(_u19704), hAPP(hAPP(c_List_Olist_OCons(_u19704), _u19705), _u19706)) = _u19706) )).
% 12.32/12.58 cnf(matrix-7763, plain, ( ( hAPP(hAPP(c_List_Omap(_u19707, _u19708), _u19709), hAPP(c_List_Otl(_u19707), _u19710)) = hAPP(c_List_Otl(_u19708), hAPP(hAPP(c_List_Omap(_u19707, _u19708), _u19709), _u19710))) )).
% 12.32/12.58 cnf(matrix-7764, plain, ( ( hAPP(c_List_Orotate(_u19711, _u19712), hAPP(hAPP(c_List_Omap(_u19713, _u19711), _u19714), _u19715)) = hAPP(hAPP(c_List_Omap(_u19713, _u19711), _u19714), hAPP(c_List_Orotate(_u19713, _u19712), _u19715))) )).
% 12.32/12.58 cnf(matrix-7765, plain, ( ( hAPP(c_List_Oset(_u19716), hAPP(c_List_Orotate(_u19716, _u19717), _u19718)) = hAPP(c_List_Oset(_u19716), _u19718)) )).
% 12.32/12.58 cnf(matrix-7766, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19719), _u19720)) | hBOOL(hAPP(c_List_Odistinct(_u19719), hAPP(c_List_Otl(_u19719), _u19720))) )).
% 12.32/12.58 cnf(matrix-7767, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19724), hAPP(c_List_Orotate(_u19724, _u19726), _u19728))) | hBOOL(hAPP(c_List_Odistinct(_u19724), _u19728)) )).
% 12.32/12.58 cnf(matrix-7768, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19725), _u19729)) | hBOOL(hAPP(c_List_Odistinct(_u19725), hAPP(c_List_Orotate(_u19725, _u19727), _u19729))) )).
% 12.32/12.58 cnf(matrix-7769, plain, ( ( hAPP(c_List_Orotate(_u19730, _u19731), hAPP(c_List_Orotate(_u19730, _u19732), _u19733)) = hAPP(c_List_Orotate(_u19730, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19731), _u19732)), _u19733)) )).
% 12.32/12.58 cnf(matrix-7770, plain, ( ( hAPP(c_List_Orotate(_u19737, _u19739), _u19741) != c_List_Olist_ONil(_u19737)) | ( _u19741 = c_List_Olist_ONil(_u19737)) )).
% 12.32/12.58 cnf(matrix-7771, plain, ( ( _u19742 != c_List_Olist_ONil(_u19738)) | ( hAPP(c_List_Orotate(_u19738, _u19740), _u19742) = c_List_Olist_ONil(_u19738)) )).
% 12.32/12.58 cnf(matrix-7772, plain, ( ( hAPP(c_List_Otl(_u19743), c_List_Olist_ONil(_u19743)) = c_List_Olist_ONil(_u19743)) )).
% 12.32/12.58 cnf(matrix-7773, plain, ( ( hAPP(hAPP(c_List_Otake(_u19744), _u19745), hAPP(c_List_Otl(_u19744), _u19746)) = hAPP(c_List_Otl(_u19744), hAPP(hAPP(c_List_Otake(_u19744), hAPP(c_Nat_OSuc, _u19745)), _u19746))) )).
% 12.32/12.58 cnf(matrix-7774, plain, ( ( c_List_Orotate(_u19747, _u19748) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19747), tc_List_Olist(_u19747)), _u19748), c_List_Orotate1(_u19747))) )).
% 12.32/12.58 cnf(matrix-7775, plain, ( ( hAPP(c_List_Orotate(_u19749, hAPP(c_Nat_OSuc, _u19750)), _u19751) = hAPP(c_List_Orotate1(_u19749), hAPP(c_List_Orotate(_u19749, _u19750), _u19751))) )).
% 12.32/12.58 cnf(matrix-7776, plain, ( ( hAPP(c_List_Orotate1(_u19752), hAPP(c_List_Orotate(_u19752, _u19753), _u19754)) = hAPP(c_List_Orotate(_u19752, _u19753), hAPP(c_List_Orotate1(_u19752), _u19754))) )).
% 12.32/12.58 cnf(matrix-7777, plain, ( ( hAPP(c_List_Otl(_u19755), hAPP(hAPP(c_List_Oappend(_u19755), _u19756), _u19757)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19755), _u19755, hAPP(c_List_Otl(_u19755), _u19757), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19755), tc_List_Olist(_u19755)), _u19755), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19755), tc_List_Olist(_u19755), tc_List_Olist(_u19755)), c_List_Oappend(_u19755)), _u19757))), _u19756)) )).
% 12.32/12.58 cnf(matrix-7778, plain, ( ( c_List_Orotate(_u19758, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19758))) )).
% 12.32/12.58 cnf(matrix-7779, plain, ( ( c_List_Orotate(_u19759, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19760), _u19761)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19759), tc_List_Olist(_u19759), tc_List_Olist(_u19759), c_List_Orotate(_u19759, _u19760)), c_List_Orotate(_u19759, _u19761))) )).
% 12.32/12.58 cnf(matrix-7780, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19762, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19763)), _u19764)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19763, _u19762), _u19764) = _u19764) )).
% 12.32/12.58 cnf(matrix-7781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19765)), _u19766)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19765, _u19767), _u19766) = _u19766) )).
% 12.32/12.58 cnf(matrix-7782, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19768)), hAPP(c_List_Otl(_u19768), _u19769)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19768)), _u19769)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7783, plain, ( ( hAPP(c_List_Otl(_u19770), hAPP(hAPP(c_List_Otake(_u19770), _u19771), _u19772)) = hAPP(hAPP(c_List_Otake(_u19770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19771), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19770), _u19772))) )).
% 12.32/12.58 cnf(matrix-7784, plain, ( ( _u19773 = c_List_Olist_ONil(_u19774)) | ( hAPP(hAPP(c_List_Otake(_u19774), hAPP(c_Nat_OSuc, _u19775)), _u19773) = hAPP(hAPP(c_List_Olist_OCons(_u19774), hAPP(c_List_Ohd(_u19774), _u19773)), hAPP(hAPP(c_List_Otake(_u19774), _u19775), hAPP(c_List_Otl(_u19774), _u19773)))) )).
% 12.32/12.58 cnf(matrix-7785, plain, ( ( hAPP(c_List_Orotate(_u19776, _u19777), _u19778) = hAPP(hAPP(c_List_Oappend(_u19776), hAPP(hAPP(c_List_Odrop(_u19776), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19777, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19776)), _u19778))), _u19778)), hAPP(hAPP(c_List_Otake(_u19776), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19777, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19776)), _u19778))), _u19778))) )).
% 12.32/12.58 cnf(matrix-7786, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19779) | ( _u19780 = c_List_Olist_ONil(_u19779)) | ( hAPP(c_Finite__Set_Ofold1(_u19779, c_Groups_Otimes__class_Otimes(_u19779)), hAPP(c_List_Oset(_u19779), _u19780)) = hAPP(c_List_Ofoldl(_u19779, _u19779, c_Groups_Otimes__class_Otimes(_u19779), hAPP(c_List_Ohd(_u19779), _u19780)), hAPP(c_List_Otl(_u19779), _u19780))) )).
% 12.32/12.58 cnf(matrix-7787, plain, ( ( c_List_Olist_Olist__size(_u19781, _u19782, hAPP(hAPP(c_List_Olist_OCons(_u19781), _u19783), _u19784)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19782, _u19783)), c_List_Olist_Olist__size(_u19781, _u19782, _u19784))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7788, plain, ( ( hAPP(c_List_Ofoldl(_u19785, _u19786, _u19787, _u19788), c_List_Olist_ONil(_u19786)) = _u19788) )).
% 12.32/12.58 cnf(matrix-7789, plain, ( ~class_Groups_Oab__semigroup__add(_u19789) | ( c_List_Ofoldr(_u19789, _u19789, c_Groups_Oplus__class_Oplus(_u19789), _u19790, _u19791) = hAPP(c_List_Ofoldl(_u19789, _u19789, c_Groups_Oplus__class_Oplus(_u19789), _u19791), _u19790)) )).
% 12.32/12.58 cnf(matrix-7790, plain, ( ~class_Groups_Omonoid__add(_u19792) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19792), _u19793), hAPP(c_List_Ofoldl(_u19792, _u19792, c_Groups_Oplus__class_Oplus(_u19792), c_Groups_Ozero__class_Ozero(_u19792)), _u19794)) = hAPP(c_List_Ofoldl(_u19792, _u19792, c_Groups_Oplus__class_Oplus(_u19792), _u19793), _u19794)) )).
% 12.32/12.58 cnf(matrix-7791, plain, ( ~class_Groups_Osemigroup__add(_u19795) | ( hAPP(c_List_Ofoldl(_u19795, _u19795, c_Groups_Oplus__class_Oplus(_u19795), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19795), _u19796), _u19797)), _u19798) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19795), _u19796), hAPP(c_List_Ofoldl(_u19795, _u19795, c_Groups_Oplus__class_Oplus(_u19795), _u19797), _u19798))) )).
% 12.32/12.58 cnf(matrix-7792, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19799), _u19800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19799), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19800), _u19801))) )).
% 12.32/12.58 cnf(matrix-7793, plain, ( ( hAPP(c_List_Ofoldl(_u19802, _u19803, _u19804, _u19805), hAPP(hAPP(c_List_Omap(_u19806, _u19803), _u19807), _u19808)) = hAPP(c_List_Ofoldl(_u19802, _u19806, hAPP(hAPP(c_COMBC(_u19802, tc_fun(_u19806, _u19803), tc_fun(_u19806, _u19802)), hAPP(hAPP(c_COMBB(tc_fun(_u19803, _u19802), tc_fun(tc_fun(_u19806, _u19803), tc_fun(_u19806, _u19802)), _u19802), c_COMBB(_u19803, _u19802, _u19806)), _u19804)), _u19807), _u19805), _u19808)) )).
% 12.32/12.58 cnf(matrix-7794, plain, ( ( c_List_Olist_Olist__size(_u19809, _u19810, hAPP(hAPP(c_List_Omap(_u19811, _u19809), _u19812), _u19813)) = c_List_Olist_Olist__size(_u19811, hAPP(c_Fun_Ocomp(_u19809, tc_Nat_Onat, _u19811, _u19810), _u19812), _u19813)) )).
% 12.32/12.58 cnf(matrix-7795, plain, ( ( hAPP(c_List_Ofoldl(_u19814, _u19815, _u19816, _u19817), hAPP(hAPP(c_List_Olist_OCons(_u19815), _u19818), _u19819)) = hAPP(c_List_Ofoldl(_u19814, _u19815, _u19816, hAPP(hAPP(_u19816, _u19817), _u19818)), _u19819)) )).
% 12.32/12.58 cnf(matrix-7796, plain, ( ( hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, _u19823), hAPP(hAPP(c_List_Oappend(_u19821), _u19824), _u19825)) = hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, hAPP(c_List_Ofoldl(_u19820, _u19821, _u19822, _u19823), _u19824)), _u19825)) )).
% 12.32/12.58 cnf(matrix-7797, plain, ( ~class_Groups_Omonoid__add(_u19826) | ( c_List_Omonoid__add__class_Olistsum(_u19826) = c_List_Ofoldl(_u19826, _u19826, c_Groups_Oplus__class_Oplus(_u19826), c_Groups_Ozero__class_Ozero(_u19826))) )).
% 12.32/12.58 cnf(matrix-7798, plain, ( ~class_Groups_Omonoid__add(_u19827) | ( hAPP(c_List_Ofoldl(_u19827, _u19827, c_Groups_Oplus__class_Oplus(_u19827), _u19828), _u19829) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19827), _u19828), c_List_Ofoldr(_u19827, _u19827, c_Groups_Oplus__class_Oplus(_u19827), _u19829, c_Groups_Ozero__class_Ozero(_u19827)))) )).
% 12.32/12.58 cnf(matrix-7799, plain, ( ~class_Groups_Omonoid__add(_u19830) | ( hAPP(c_List_Ofoldl(_u19830, _u19830, c_Groups_Oplus__class_Oplus(_u19830), c_Groups_Ozero__class_Ozero(_u19830)), _u19831) = c_List_Ofoldr(_u19830, _u19830, c_Groups_Oplus__class_Oplus(_u19830), _u19831, c_Groups_Ozero__class_Ozero(_u19830))) )).
% 12.32/12.58 cnf(matrix-7800, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19836), _u19838) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19836 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7801, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19836), _u19838) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19832), hAPP(c_List_Oset(tc_Nat_Onat), _u19838))) | ( _u19832 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7802, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19837), _u19839) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19837 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem480(_u19839, _u19837)), hAPP(c_List_Oset(tc_Nat_Onat), _u19839))) )).
% 12.32/12.58 cnf(matrix-7803, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19837), _u19839) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19837 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem480(_u19839, _u19837) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7804, plain, ( ( c_List_Olist_Olist__size(_u19840, _u19841, c_List_Olist_ONil(_u19840)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7805, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19842, _u19843, _u19844) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19842, _u19843, _u19844), _u19845), hAPP(c_List_Oset(_u19842), _u19846)) = hAPP(c_List_Ofoldl(_u19843, _u19842, hAPP(c_COMBC(_u19842, _u19843, _u19843), _u19844), _u19845), _u19846)) )).
% 12.32/12.58 cnf(matrix-7806, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19847) | ( c_Complete__Lattice_OSup__class_OSup(_u19847, hAPP(c_List_Oset(_u19847), _u19848)) = hAPP(c_List_Ofoldl(_u19847, _u19847, c_Lattices_Osemilattice__sup__class_Osup(_u19847), c_Orderings_Obot__class_Obot(_u19847)), _u19848)) )).
% 12.32/12.58 cnf(matrix-7807, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19849) | ( c_Complete__Lattice_OInf__class_OInf(_u19849, hAPP(c_List_Oset(_u19849), _u19850)) = hAPP(c_List_Ofoldl(_u19849, _u19849, c_Lattices_Osemilattice__inf__class_Oinf(_u19849), c_Orderings_Otop__class_Otop(_u19849)), _u19850)) )).
% 12.32/12.58 cnf(matrix-7808, plain, ( ~class_Lattices_Olattice(_u19851) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19851, hAPP(c_List_Oset(_u19851), hAPP(hAPP(c_List_Olist_OCons(_u19851), _u19852), _u19853))) = hAPP(c_List_Ofoldl(_u19851, _u19851, c_Lattices_Osemilattice__sup__class_Osup(_u19851), _u19852), _u19853)) )).
% 12.32/12.58 cnf(matrix-7809, plain, ( ~class_Lattices_Olattice(_u19854) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19854, hAPP(c_List_Oset(_u19854), hAPP(hAPP(c_List_Olist_OCons(_u19854), _u19855), _u19856))) = hAPP(c_List_Ofoldl(_u19854, _u19854, c_Lattices_Osemilattice__inf__class_Oinf(_u19854), _u19855), _u19856)) )).
% 12.32/12.58 cnf(matrix-7810, plain, ( ~class_Orderings_Olinorder(_u19857) | ( c_Big__Operators_Olinorder__class_OMin(_u19857, hAPP(c_List_Oset(_u19857), hAPP(hAPP(c_List_Olist_OCons(_u19857), _u19858), _u19859))) = hAPP(c_List_Ofoldl(_u19857, _u19857, c_Orderings_Oord__class_Omin(_u19857), _u19858), _u19859)) )).
% 12.32/12.58 cnf(matrix-7811, plain, ( ~class_Orderings_Olinorder(_u19860) | ( c_Big__Operators_Olinorder__class_OMax(_u19860, hAPP(c_List_Oset(_u19860), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19861), _u19862))) = hAPP(c_List_Ofoldl(_u19860, _u19860, c_Orderings_Oord__class_Omax(_u19860), _u19861), _u19862)) )).
% 12.32/12.58 cnf(matrix-7812, plain, ( ~class_Orderings_Olinorder(_u19863) | ( c_Big__Operators_Olattice_OInf__fin(_u19863, c_Orderings_Oord__class_Omin(_u19863), hAPP(c_List_Oset(_u19863), hAPP(hAPP(c_List_Olist_OCons(_u19863), _u19864), _u19865))) = hAPP(c_List_Ofoldl(_u19863, _u19863, c_Orderings_Oord__class_Omin(_u19863), _u19864), _u19865)) )).
% 12.32/12.58 cnf(matrix-7813, plain, ( ~class_Orderings_Olinorder(_u19866) | ( c_Big__Operators_Olattice_OSup__fin(_u19866, c_Orderings_Oord__class_Omax(_u19866), hAPP(c_List_Oset(_u19866), hAPP(hAPP(c_List_Olist_OCons(_u19866), _u19867), _u19868))) = hAPP(c_List_Ofoldl(_u19866, _u19866, c_Orderings_Oord__class_Omax(_u19866), _u19867), _u19868)) )).
% 12.32/12.58 cnf(matrix-7814, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19869) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19870, _u19869), hAPP(c_List_Oset(_u19870), _u19871)), _u19872) = hAPP(c_List_Ofoldl(_u19869, _u19870, hAPP(c_COMBC(_u19870, _u19869, _u19869), hAPP(hAPP(c_COMBB(_u19869, tc_fun(_u19869, _u19869), _u19870), c_Lattices_Osemilattice__sup__class_Osup(_u19869)), _u19872)), c_Orderings_Obot__class_Obot(_u19869)), _u19871)) )).
% 12.32/12.58 cnf(matrix-7815, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19873) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19874, _u19873), hAPP(c_List_Oset(_u19874), _u19875)), _u19876) = hAPP(c_List_Ofoldl(_u19873, _u19874, hAPP(c_COMBC(_u19874, _u19873, _u19873), hAPP(hAPP(c_COMBB(_u19873, tc_fun(_u19873, _u19873), _u19874), c_Lattices_Osemilattice__inf__class_Oinf(_u19873)), _u19876)), c_Orderings_Otop__class_Otop(_u19873)), _u19875)) )).
% 12.32/12.58 cnf(matrix-7816, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19877), _u19878), hAPP(c_List_Oset(_u19877), _u19879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), hAPP(_u19881, _u19878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), c_List_Olist_Olist__size(_u19877, _u19881, _u19879))) )).
% 12.32/12.58 cnf(matrix-7817, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19882), _u19883), hAPP(c_List_Oset(_u19882), _u19884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19885), hAPP(_u19886, _u19883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19885), c_List_Olist_Olist__size(_u19882, _u19886, _u19884))) )).
% 12.32/12.58 cnf(matrix-7818, plain, ( ( c_Map_Omap__upds(_u19887, _u19888, _u19889, _u19890, _u19891) = hAPP(c_List_Ofoldl(tc_fun(_u19887, tc_Option_Ooption(_u19888)), tc_prod(_u19887, _u19888), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), tc_fun(tc_prod(_u19887, _u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), c_Product__Type_Oprod_Oprod__case(_u19887, _u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), hAPP(hAPP(c_COMBC(tc_fun(_u19887, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19887, tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), c_COMBC(_u19887, tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), hAPP(hAPP(c_COMBB(tc_fun(_u19887, tc_fun(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888)))), tc_fun(_u19887, tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888))))), tc_fun(_u19887, tc_Option_Ooption(_u19888))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888))), tc_fun(tc_fun(_u19888, tc_Option_Ooption(_u19888)), tc_fun(_u19888, tc_fun(_u19887, tc_Option_Ooption(_u19888)))), _u19887), c_COMBB(tc_Option_Ooption(_u19888), tc_fun(_u19887, tc_Option_Ooption(_u19888)), _u19888))), c_Fun_Ofun__upd(_u19887, tc_Option_Ooption(_u19888))))), c_Option_Ooption_OSome(_u19888))), _u19889), hAPP(hAPP(c_List_Ozip(_u19887, _u19888), _u19890), _u19891))) )).
% 12.32/12.58 cnf(matrix-7819, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19892), hAPP(c_List_Oset(tc_Nat_Onat), _u19893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19892), 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)), _u19893))) )).
% 12.32/12.58 cnf(matrix-7820, plain, ( ( c_List_Olist_Olist__size(_u19894, _u19895, _u19896) = 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(_u19894, tc_Nat_Onat), _u19895), _u19896))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19894)), _u19896))) )).
% 12.32/12.58 cnf(matrix-7821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19897, _u19897), tc_HOL_Obool)), _u19898), hAPP(hAPP(c_Product__Type_OSigma(_u19897, _u19897), _u19899), hAPP(c_COMBK(tc_fun(_u19897, tc_HOL_Obool), _u19897), _u19899)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19897), tc_List_Olist(_u19897)), tc_HOL_Obool)), c_List_Olistrel(_u19897, _u19898)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u19897), tc_List_Olist(_u19897)), c_List_Olists(_u19897, _u19899)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19897), tc_HOL_Obool), tc_List_Olist(_u19897)), c_List_Olists(_u19897, _u19899))))) )).
% 12.32/12.58 cnf(matrix-7822, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19900)), _u19901), c_Wellfounded_Oacc(tc_List_Olist(_u19900), c_List_Olistrel1(_u19900, _u19902)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19900)), _u19901), c_List_Olists(_u19900, c_Wellfounded_Oacc(_u19900, _u19902)))) )).
% 12.32/12.58 cnf(matrix-7823, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19903)), c_List_Olist_ONil(_u19903)), c_List_Olists(_u19903, _u19904))) )).
% 12.32/12.58 cnf(matrix-7824, plain, ( ~c_Equiv__Relations_Oequiv(_u19905, _u19906, _u19907) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u19905), c_List_Olists(_u19905, _u19906), c_List_Olistrel(_u19905, _u19907)) )).
% 12.32/12.58 cnf(matrix-7825, plain, ( ~c_Relation_Orefl__on(_u19908, _u19909, _u19910) | c_Relation_Orefl__on(tc_List_Olist(_u19908), c_List_Olists(_u19908, _u19909), c_List_Olistrel(_u19908, _u19910)) )).
% 12.32/12.58 cnf(matrix-7826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), hAPP(hAPP(c_List_Oappend(_u19915), _u19917), _u19919)), c_List_Olists(_u19915, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), _u19917), c_List_Olists(_u19915, _u19921))) )).
% 12.32/12.58 cnf(matrix-7827, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), hAPP(hAPP(c_List_Oappend(_u19915), _u19917), _u19919)), c_List_Olists(_u19915, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19915)), _u19919), c_List_Olists(_u19915, _u19921))) )).
% 12.32/12.58 cnf(matrix-7828, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), _u19918), c_List_Olists(_u19916, _u19922))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), _u19920), c_List_Olists(_u19916, _u19922))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19916)), hAPP(hAPP(c_List_Oappend(_u19916), _u19918), _u19920)), c_List_Olists(_u19916, _u19922))) )).
% 12.32/12.58 cnf(matrix-7829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19923, tc_HOL_Obool)), _u19924), _u19925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19923), tc_HOL_Obool)), c_List_Olists(_u19923, _u19924)), c_List_Olists(_u19923, _u19925))) )).
% 12.32/12.58 cnf(matrix-7830, plain, ( ( c_List_Olists(_u19926, c_Orderings_Otop__class_Otop(tc_fun(_u19926, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u19926), tc_HOL_Obool))) )).
% 12.32/12.58 cnf(matrix-7831, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), hAPP(hAPP(c_List_Olist_OCons(_u19931), _u19933), _u19935)), c_List_Olists(_u19931, _u19937))) | hBOOL(hAPP(hAPP(c_member(_u19931), _u19933), _u19937)) )).
% 12.32/12.58 cnf(matrix-7832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), hAPP(hAPP(c_List_Olist_OCons(_u19931), _u19933), _u19935)), c_List_Olists(_u19931, _u19937))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19931)), _u19935), c_List_Olists(_u19931, _u19937))) )).
% 12.32/12.58 cnf(matrix-7833, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19932), _u19934), _u19938)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19932)), _u19936), c_List_Olists(_u19932, _u19938))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19932)), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19934), _u19936)), c_List_Olists(_u19932, _u19938))) )).
% 12.32/12.58 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19944)), _u19946), c_List_Olists(_u19944, _u19948))) | ~hBOOL(hAPP(hAPP(c_member(_u19944), _u19939), hAPP(c_List_Oset(_u19944), _u19946))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19939), _u19948)) )).
% 12.32/12.58 cnf(matrix-7835, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19945)), _u19947), c_List_Olists(_u19945, _u19949))) | hBOOL(hAPP(hAPP(c_member(_u19945), skolem481(_u19949, _u19947, _u19945)), hAPP(c_List_Oset(_u19945), _u19947))) )).
% 12.32/12.58 cnf(matrix-7836, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19945)), _u19947), c_List_Olists(_u19945, _u19949))) | ~hBOOL(hAPP(hAPP(c_member(_u19945), skolem481(_u19949, _u19947, _u19945)), _u19949)) )).
% 12.32/12.58 cnf(matrix-7837, plain, ( ( c_List_Olists(_u19950, _u19951) = hAPP(c_Set_OCollect(tc_List_Olist(_u19950)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19950), tc_fun(_u19950, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19950, tc_HOL_Obool), tc_fun(tc_fun(_u19950, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u19950)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u19950, tc_HOL_Obool))), c_List_Oset(_u19950))), _u19951))) )).
% 12.32/12.58 cnf(matrix-7838, plain, ( ( c_List_Olists(_u19952, c_Orderings_Obot__class_Obot(tc_fun(_u19952, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u19952)), c_List_Olist_ONil(_u19952)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u19952), tc_HOL_Obool)))) )).
% 12.32/12.58 cnf(matrix-7839, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19953)), _u19954), c_List_Olists(_u19953, c_Wellfounded_Oacc(_u19953, _u19955)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19953)), _u19954), c_Wellfounded_Oacc(tc_List_Olist(_u19953), c_List_Olistrel1(_u19953, _u19955)))) )).
% 12.32/12.58 cnf(matrix-7840, plain, ( ( _u19958 != hAPP(hAPP(c_List_Olist_OCons(_u19959), _u19957), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19959), tc_List_Olist(_u19959))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19959), tc_List_Olist(_u19959)), _u19960), hAPP(hAPP(c_List_Oappend(_u19959), _u19960), _u19958))), c_List_Olexord(_u19959, _u19961))) )).
% 12.32/12.58 cnf(matrix-7841, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19969), tc_List_Olist(_u19969))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19969), tc_List_Olist(_u19969)), c_List_Olist_ONil(_u19969)), _u19971)), c_List_Olexord(_u19969, _u19973))) | ( _u19971 = hAPP(hAPP(c_List_Olist_OCons(_u19969), skolem482(_u19973, _u19971, _u19969)), skolem483(_u19973, _u19971, _u19969))) )).
% 12.32/12.58 cnf(matrix-7842, plain, ( ( _u19972 != hAPP(hAPP(c_List_Olist_OCons(_u19970), _u19965), _u19964)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19970), tc_List_Olist(_u19970))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19970), tc_List_Olist(_u19970)), c_List_Olist_ONil(_u19970)), _u19972)), c_List_Olexord(_u19970, _u19974))) )).
% 12.32/12.58 cnf(matrix-7843, plain, ( ( _u19975 = c_List_Olist_ONil(_u19976)) | ( _u19977 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19976)), _u19975)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19976, hAPP(hAPP(c_List_Olist__update(_u19976, _u19975), _u19977), _u19978)) = _u19978) )).
% 12.32/12.58 cnf(matrix-7844, plain, ( ( _u19975 = c_List_Olist_ONil(_u19976)) | ( _u19977 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19976)), _u19975)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19976, hAPP(hAPP(c_List_Olist__update(_u19976, _u19975), _u19977), _u19978)) = c_List_Olast(_u19976, _u19975)) )).
% 12.32/12.58 cnf(matrix-7845, plain, ( ~class_Groups_Omonoid__add(_u19980) | ~class_Groups_Oordered__ab__semigroup__add(_u19980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19983), _u19982))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19984), _u19982)))) | hBOOL(hAPP(hAPP(c_member(_u19981), skolem484(_u19984, _u19983, _u19982, _u19981, _u19980)), hAPP(c_List_Oset(_u19981), _u19982))) )).
% 12.32/12.58 cnf(matrix-7846, plain, ( ~class_Groups_Omonoid__add(_u19980) | ~class_Groups_Oordered__ab__semigroup__add(_u19980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19983), _u19982))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19980), hAPP(hAPP(c_List_Omap(_u19981, _u19980), _u19984), _u19982)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19980), hAPP(_u19983, skolem484(_u19984, _u19983, _u19982, _u19981, _u19980))), hAPP(_u19984, skolem484(_u19984, _u19983, _u19982, _u19981, _u19980)))) )).
% 12.32/12.58 cnf(matrix-7847, plain, ( ( _u19985 != c_List_Olist_ONil(_u19986)) | ( c_List_Olast(_u19986, hAPP(hAPP(c_List_Oappend(_u19986), _u19987), _u19985)) = c_List_Olast(_u19986, _u19987)) )).
% 12.32/12.58 cnf(matrix-7848, plain, ( ( _u19988 = c_List_Olist_ONil(_u19989)) | ( c_List_Olast(_u19989, hAPP(hAPP(c_List_Oappend(_u19989), _u19990), _u19988)) = c_List_Olast(_u19989, _u19988)) )).
% 12.32/12.58 cnf(matrix-7849, plain, ( ( _u19994 != c_List_Olist_ONil(_u19996)) | ( c_List_Olast(_u19996, hAPP(hAPP(c_List_Oappend(_u19996), _u19998), _u19994)) = c_List_Olast(_u19996, _u19998)) )).
% 12.32/12.58 cnf(matrix-7850, plain, ( ( _u19995 = c_List_Olist_ONil(_u19997)) | ( c_List_Olast(_u19997, hAPP(hAPP(c_List_Oappend(_u19997), _u19999), _u19995)) = c_List_Olast(_u19997, _u19995)) )).
% 12.32/12.58 cnf(matrix-7851, plain, ( ( _u20000 != c_List_Olist_ONil(_u20001)) | ( c_List_Olast(_u20001, hAPP(hAPP(c_List_Olist_OCons(_u20001), _u20002), _u20000)) = _u20002) )).
% 12.32/12.58 cnf(matrix-7852, plain, ( ( _u20003 = c_List_Olist_ONil(_u20004)) | ( c_List_Olast(_u20004, hAPP(hAPP(c_List_Olist_OCons(_u20004), _u20005), _u20003)) = c_List_Olast(_u20004, _u20003)) )).
% 12.32/12.58 cnf(matrix-7853, plain, ( ( _u20009 != c_List_Olist_ONil(_u20011)) | ( c_List_Olast(_u20011, hAPP(hAPP(c_List_Olist_OCons(_u20011), _u20013), _u20009)) = _u20013) )).
% 12.32/12.58 cnf(matrix-7854, plain, ( ( _u20010 = c_List_Olist_ONil(_u20012)) | ( c_List_Olast(_u20012, hAPP(hAPP(c_List_Olist_OCons(_u20012), _u20014), _u20010)) = c_List_Olast(_u20012, _u20010)) )).
% 12.32/12.58 cnf(matrix-7855, plain, ( ( _u20015 = c_List_Olist_ONil(_u20016)) | ( c_List_Olast(_u20017, hAPP(hAPP(c_List_Omap(_u20016, _u20017), _u20018), _u20015)) = hAPP(_u20018, c_List_Olast(_u20016, _u20015))) )).
% 12.32/12.58 cnf(matrix-7856, plain, ( ( _u20019 = c_List_Olist_ONil(_u20020)) | hBOOL(hAPP(hAPP(c_member(_u20020), c_List_Olast(_u20020, _u20019)), hAPP(c_List_Oset(_u20020), _u20019))) )).
% 12.32/12.58 cnf(matrix-7857, plain, ( ( c_List_Olast(_u20021, hAPP(hAPP(c_List_Oappend(_u20021), _u20022), hAPP(hAPP(c_List_Olist_OCons(_u20021), _u20023), c_List_Olist_ONil(_u20021)))) = _u20023) )).
% 12.32/12.58 cnf(matrix-7858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20024), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20025)), _u20026))) | ( c_List_Olast(_u20025, hAPP(hAPP(c_List_Odrop(_u20025), _u20024), _u20026)) = c_List_Olast(_u20025, _u20026)) )).
% 12.32/12.58 cnf(matrix-7859, plain, ( ( _u20027 = c_List_Olist_ONil(_u20028)) | ( c_List_Olast(_u20028, _u20027) = hAPP(hAPP(c_List_Onth(_u20028), _u20027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20028)), _u20027)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7860, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20031, _u20031)), hAPP(hAPP(c_Product__Type_OPair(_u20031, _u20031), skolem485(_u20034, _u20033, _u20032, _u20031)), skolem486(_u20034, _u20033, _u20032, _u20031))), _u20032)) )).
% 12.32/12.58 cnf(matrix-7861, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ( skolem485(_u20034, _u20033, _u20032, _u20031) != skolem486(_u20034, _u20033, _u20032, _u20031)) )).
% 12.32/12.58 cnf(matrix-7862, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20033), _u20034)), c_List_Olexord(_u20031, _u20032))) | ( _u20033 = _u20034) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20031), tc_List_Olist(_u20031))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20031), tc_List_Olist(_u20031)), _u20034), _u20033)), c_List_Olexord(_u20031, _u20032))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20031, _u20031)), hAPP(hAPP(c_Product__Type_OPair(_u20031, _u20031), skolem486(_u20034, _u20033, _u20032, _u20031)), skolem485(_u20034, _u20033, _u20032, _u20031))), _u20032)) )).
% 12.32/12.58 cnf(matrix-7863, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20036, _u20036)), hAPP(hAPP(c_Product__Type_OPair(_u20036, _u20036), skolem487(_u20038, _u20037, _u20036)), skolem487(_u20038, _u20037, _u20036))), _u20037)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20036), tc_List_Olist(_u20036))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20036), tc_List_Olist(_u20036)), _u20038), _u20038)), c_List_Olexord(_u20036, _u20037))) )).
% 12.32/12.58 cnf(matrix-7864, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem488(_u20050, _u20048, _u20046)), _u20050)) )).
% 12.32/12.58 cnf(matrix-7865, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | ( _u20048 = hAPP(hAPP(c_List_Olist_OCons(_u20046), skolem488(_u20050, _u20048, _u20046)), skolem489(_u20050, _u20048, _u20046))) )).
% 12.32/12.58 cnf(matrix-7866, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), _u20048), c_List_Olists(_u20046, _u20050))) | ( _u20048 = c_List_Olist_ONil(_u20046)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20046)), skolem489(_u20050, _u20048, _u20046)), c_List_Olists(_u20046, _u20050))) )).
% 12.32/12.58 cnf(matrix-7867, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20049), c_List_Olists(_u20047, _u20051))) | ( _u20049 != c_List_Olist_ONil(_u20047)) )).
% 12.32/12.58 cnf(matrix-7868, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20049), c_List_Olists(_u20047, _u20051))) | ~hBOOL(hAPP(hAPP(c_member(_u20047), _u20042), _u20051)) | ( _u20049 != hAPP(hAPP(c_List_Olist_OCons(_u20047), _u20042), _u20041)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20041), c_List_Olists(_u20047, _u20051))) )).
% 12.32/12.58 cnf(matrix-7869, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20053, _u20055, _u20054)), c_List_Olist_Olist__size(_u20053, _u20056, _u20054))) | hBOOL(hAPP(hAPP(c_member(_u20053), skolem490(_u20056, _u20055, _u20054, _u20053)), hAPP(c_List_Oset(_u20053), _u20054))) )).
% 12.32/12.58 cnf(matrix-7870, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20053, _u20055, _u20054)), c_List_Olist_Olist__size(_u20053, _u20056, _u20054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u20055, skolem490(_u20056, _u20055, _u20054, _u20053))), hAPP(_u20056, skolem490(_u20056, _u20055, _u20054, _u20053)))) )).
% 12.32/12.58 cnf(matrix-7871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20058)), _u20059))) | ( c_List_Obutlast(_u20058, hAPP(hAPP(c_List_Otake(_u20058), _u20057), _u20059)) = hAPP(hAPP(c_List_Otake(_u20058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20057), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20059)) )).
% 12.32/12.58 cnf(matrix-7872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20064))) | ( hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20063) = hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u20064, _u20063, _u20062, _u20061)), _u20061)) )).
% 12.32/12.58 cnf(matrix-7873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20061), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20062)), _u20064))) | ( hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20063) = hAPP(hAPP(c_List_Otake(_u20062), _u20061), _u20064)) | ( hAPP(hAPP(c_List_Onth(_u20062), _u20063), skolem491(_u20064, _u20063, _u20062, _u20061)) != hAPP(hAPP(c_List_Onth(_u20062), _u20064), skolem491(_u20064, _u20063, _u20062, _u20061))) )).
% 12.32/12.58 cnf(matrix-7874, plain, ( ( hAPP(hAPP(c_List_Omap(_u20065, _u20066), _u20067), c_List_Obutlast(_u20065, _u20068)) = c_List_Obutlast(_u20066, hAPP(hAPP(c_List_Omap(_u20065, _u20066), _u20067), _u20068))) )).
% 12.32/12.58 cnf(matrix-7875, plain, ( ( _u20069 = c_List_Olist_ONil(_u20070)) | ~hBOOL(hAPP(c_List_Odistinct(_u20070), _u20069)) | hBOOL(hAPP(c_List_Odistinct(_u20070), c_List_Obutlast(_u20070, _u20069))) )).
% 12.32/12.58 cnf(matrix-7876, plain, ( ( c_List_Obutlast(_u20071, c_List_Olist_ONil(_u20071)) = c_List_Olist_ONil(_u20071)) )).
% 12.32/12.58 cnf(matrix-7877, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20072), _u20073), hAPP(c_List_Oset(_u20072), c_List_Obutlast(_u20072, _u20074)))) | hBOOL(hAPP(hAPP(c_member(_u20072), _u20073), hAPP(c_List_Oset(_u20072), _u20074))) )).
% 12.32/12.58 cnf(matrix-7878, plain, ( ( _u20078 != c_List_Olist_ONil(_u20080)) | ( c_List_Obutlast(_u20080, hAPP(hAPP(c_List_Olist_OCons(_u20080), _u20082), _u20078)) = c_List_Olist_ONil(_u20080)) )).
% 12.32/12.58 cnf(matrix-7879, plain, ( ( _u20079 = c_List_Olist_ONil(_u20081)) | ( c_List_Obutlast(_u20081, hAPP(hAPP(c_List_Olist_OCons(_u20081), _u20083), _u20079)) = hAPP(hAPP(c_List_Olist_OCons(_u20081), _u20083), c_List_Obutlast(_u20081, _u20079))) )).
% 12.32/12.58 cnf(matrix-7880, plain, ( ( _u20087 != c_List_Olist_ONil(_u20089)) | ( c_List_Obutlast(_u20089, hAPP(hAPP(c_List_Oappend(_u20089), _u20091), _u20087)) = c_List_Obutlast(_u20089, _u20091)) )).
% 12.32/12.58 cnf(matrix-7881, plain, ( ( _u20088 = c_List_Olist_ONil(_u20090)) | ( c_List_Obutlast(_u20090, hAPP(hAPP(c_List_Oappend(_u20090), _u20092), _u20088)) = hAPP(hAPP(c_List_Oappend(_u20090), _u20092), c_List_Obutlast(_u20090, _u20088))) )).
% 12.32/12.58 cnf(matrix-7882, plain, ( ( hAPP(hAPP(c_List_Odrop(_u20093), _u20094), c_List_Obutlast(_u20093, _u20095)) = c_List_Obutlast(_u20093, hAPP(hAPP(c_List_Odrop(_u20093), _u20094), _u20095))) )).
% 12.32/12.58 cnf(matrix-7883, plain, ( ( c_List_Obutlast(_u20096, hAPP(hAPP(c_List_Odrop(_u20096), _u20097), _u20098)) = hAPP(hAPP(c_List_Odrop(_u20096), _u20097), c_List_Obutlast(_u20096, _u20098))) )).
% 12.32/12.58 cnf(matrix-7884, plain, ( hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20102))))) | ~hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, _u20101)))) )).
% 12.32/12.58 cnf(matrix-7885, plain, ( hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20102))))) | ~hBOOL(hAPP(hAPP(c_member(_u20099), _u20100), hAPP(c_List_Oset(_u20099), c_List_Obutlast(_u20099, _u20102)))) )).
% 12.32/12.58 cnf(matrix-7886, plain, ( ( c_List_Obutlast(_u20103, hAPP(hAPP(c_List_Oappend(_u20103), _u20104), hAPP(hAPP(c_List_Olist_OCons(_u20103), _u20105), c_List_Olist_ONil(_u20103)))) = _u20104) )).
% 12.32/12.58 cnf(matrix-7887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20106), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20107)), _u20108))) | ( hAPP(hAPP(c_List_Otake(_u20107), _u20106), c_List_Obutlast(_u20107, _u20108)) = hAPP(hAPP(c_List_Otake(_u20107), _u20106), _u20108)) )).
% 12.32/12.58 cnf(matrix-7888, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20109)), c_List_Obutlast(_u20109, _u20110)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20109)), _u20110)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7889, plain, ( ( c_List_Obutlast(_u20111, _u20112) = hAPP(hAPP(c_List_Otake(_u20111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20111)), _u20112)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20112)) )).
% 12.32/12.58 cnf(matrix-7890, plain, ( ( _u20117 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20119)), _u20121)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20119, hAPP(hAPP(c_List_Olist__update(_u20119, _u20121), _u20117), _u20123)) = c_List_Obutlast(_u20119, _u20121)) )).
% 12.32/12.58 cnf(matrix-7891, plain, ( ( _u20118 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20120)), _u20122)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20120, hAPP(hAPP(c_List_Olist__update(_u20120, _u20122), _u20118), _u20124)) = hAPP(hAPP(c_List_Olist__update(_u20120, c_List_Obutlast(_u20120, _u20122)), _u20118), _u20124)) )).
% 12.32/12.58 cnf(matrix-7892, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( _u20135 != c_List_Olist_ONil(_u20129)) )).
% 12.32/12.58 cnf(matrix-7893, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( c_List_Obutlast(_u20129, _u20135) = _u20131) )).
% 12.32/12.58 cnf(matrix-7894, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20129), _u20131), hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20133), c_List_Olist_ONil(_u20129))) != _u20135) | ( c_List_Olast(_u20129, _u20135) = _u20133) )).
% 12.32/12.58 cnf(matrix-7895, plain, ( ( _u20136 = c_List_Olist_ONil(_u20130)) | ( c_List_Obutlast(_u20130, _u20136) != _u20132) | ( c_List_Olast(_u20130, _u20136) != _u20134) | ( hAPP(hAPP(c_List_Oappend(_u20130), _u20132), hAPP(hAPP(c_List_Olist_OCons(_u20130), _u20134), c_List_Olist_ONil(_u20130))) = _u20136) )).
% 12.32/12.58 cnf(matrix-7896, plain, ( ( _u20137 = c_List_Olist_ONil(_u20138)) | ( hAPP(hAPP(c_List_Oappend(_u20138), c_List_Obutlast(_u20138, _u20137)), hAPP(hAPP(c_List_Olist_OCons(_u20138), c_List_Olast(_u20138, _u20137)), c_List_Olist_ONil(_u20138))) = _u20137) )).
% 12.32/12.58 cnf(matrix-7897, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20139)), _u20140))), c_List_Ofoldr(tc_List_Olist(_u20141), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20141))), _u20142, 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(_u20139)), _u20140)), c_List_Ofoldr(tc_List_Olist(_u20141), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20141), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20141)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20141)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u20141), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20141)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20141), tc_List_Olist(_u20141), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20141)))), _u20142), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.32/12.58 cnf(matrix-7898, plain, ( ( c_List_Opartition(_u20143, _u20144, _u20145) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20143), tc_List_Olist(_u20143)), _u20146), _u20147)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20143, tc_HOL_Obool)), hAPP(c_List_Oset(_u20143), _u20146)), hAPP(c_List_Oset(_u20143), _u20147)) = hAPP(c_List_Oset(_u20143), _u20145)) )).
% 12.32/12.58 cnf(matrix-7899, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20148)), hAPP(c_List_Ofilter(_u20148, _u20149), hAPP(hAPP(c_List_Omap(_u20150, _u20148), _u20151), _u20152))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20150)), hAPP(c_List_Ofilter(_u20150, hAPP(c_Fun_Ocomp(_u20148, tc_HOL_Obool, _u20150, _u20149), _u20151)), _u20152))) )).
% 12.32/12.58 cnf(matrix-7900, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20153, tc_HOL_Obool)), hAPP(c_List_Oset(_u20153), hAPP(c_List_Ofilter(_u20153, _u20154), _u20155))), hAPP(c_List_Oset(_u20153), _u20155))) )).
% 12.32/12.58 cnf(matrix-7901, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20156)), hAPP(c_List_Ofilter(_u20156, _u20157), _u20158))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20156)), _u20158))) )).
% 12.32/12.58 cnf(matrix-7902, plain, ( ( hAPP(c_List_Oset(_u20159), hAPP(c_List_Ofilter(_u20159, _u20160), _u20161)) = hAPP(c_Set_OCollect(_u20159), hAPP(hAPP(c_COMBS(_u20159, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20159), c_fconj), hAPP(hAPP(c_COMBC(_u20159, tc_fun(_u20159, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20159)), hAPP(c_List_Oset(_u20159), _u20161)))), _u20160))) )).
% 12.32/12.58 cnf(matrix-7903, plain, ( ( hAPP(c_List_Ofilter(_u20162, _u20163), hAPP(hAPP(c_List_Oappend(_u20162), _u20164), _u20165)) = hAPP(hAPP(c_List_Oappend(_u20162), hAPP(c_List_Ofilter(_u20162, _u20163), _u20164)), hAPP(c_List_Ofilter(_u20162, _u20163), _u20165))) )).
% 12.32/12.58 cnf(matrix-7904, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20166)), hAPP(c_List_Ofilter(_u20166, _u20167), _u20168))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20166)), hAPP(c_List_Ofilter(_u20166, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20166), c_fNot), _u20167)), _u20168))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20166)), _u20168)) )).
% 12.32/12.58 cnf(matrix-7905, plain, ( ~hBOOL(hAPP(_u20173, _u20175)) | ( hAPP(c_List_Ofilter(_u20177, _u20173), hAPP(hAPP(c_List_Olist_OCons(_u20177), _u20175), _u20179)) = hAPP(hAPP(c_List_Olist_OCons(_u20177), _u20175), hAPP(c_List_Ofilter(_u20177, _u20173), _u20179))) )).
% 12.32/12.58 cnf(matrix-7906, plain, ( hBOOL(hAPP(_u20174, _u20176)) | ( hAPP(c_List_Ofilter(_u20178, _u20174), hAPP(hAPP(c_List_Olist_OCons(_u20178), _u20176), _u20180)) = hAPP(c_List_Ofilter(_u20178, _u20174), _u20180)) )).
% 12.32/12.58 cnf(matrix-7907, plain, ( ( hAPP(c_List_Ofilter(_u20186, _u20188), _u20190) != _u20190) | ~hBOOL(hAPP(hAPP(c_member(_u20186), _u20181), hAPP(c_List_Oset(_u20186), _u20190))) | hBOOL(hAPP(_u20188, _u20181)) )).
% 12.32/12.58 cnf(matrix-7908, plain, ( ( hAPP(c_List_Ofilter(_u20187, _u20189), _u20191) = _u20191) | hBOOL(hAPP(hAPP(c_member(_u20187), skolem492(_u20191, _u20189, _u20187)), hAPP(c_List_Oset(_u20187), _u20191))) )).
% 12.32/12.58 cnf(matrix-7909, plain, ( ( hAPP(c_List_Ofilter(_u20187, _u20189), _u20191) = _u20191) | ~hBOOL(hAPP(_u20189, skolem492(_u20191, _u20189, _u20187))) )).
% 12.32/12.58 cnf(matrix-7910, plain, ( ~class_Orderings_Olinorder(_u20192) | hBOOL(hAPP(_u20193, _u20194)) | ( hAPP(c_List_Ofilter(_u20195, _u20193), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20195, _u20192, _u20196), _u20194), _u20197)) = hAPP(c_List_Ofilter(_u20195, _u20193), _u20197)) )).
% 12.32/12.58 cnf(matrix-7911, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20198), _u20199)) | hBOOL(hAPP(c_List_Odistinct(_u20198), hAPP(c_List_Ofilter(_u20198, _u20200), _u20199))) )).
% 12.32/12.58 cnf(matrix-7912, plain, ( hBOOL(hAPP(_u20201, _u20202)) | ( c_List_Oremove1(_u20203, _u20202, hAPP(c_List_Ofilter(_u20203, _u20201), _u20204)) = hAPP(c_List_Ofilter(_u20203, _u20201), _u20204)) )).
% 12.32/12.58 cnf(matrix-7913, plain, ( ( hAPP(c_List_Ofilter(_u20205, _u20206), c_List_Oremove1(_u20205, _u20207, _u20208)) = c_List_Oremove1(_u20205, _u20207, hAPP(c_List_Ofilter(_u20205, _u20206), _u20208))) )).
% 12.32/12.58 cnf(matrix-7914, plain, ( ( hAPP(c_List_Ofilter(_u20209, _u20210), hAPP(c_List_Ofilter(_u20209, _u20211), _u20212)) = hAPP(c_List_Ofilter(_u20209, hAPP(hAPP(c_COMBS(_u20209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20209), c_fconj), _u20211)), _u20210)), _u20212)) )).
% 12.32/12.58 cnf(matrix-7915, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20213), tc_List_Olist(_u20213)), c_List_Opartition(_u20213, _u20214, _u20215)) = hAPP(c_List_Ofilter(_u20213, _u20214), _u20215)) )).
% 12.32/12.58 cnf(matrix-7916, plain, ( ( hAPP(c_List_Ofilter(_u20221, _u20223), _u20225) != c_List_Olist_ONil(_u20221)) | ~hBOOL(hAPP(hAPP(c_member(_u20221), _u20216), hAPP(c_List_Oset(_u20221), _u20225))) | ~hBOOL(hAPP(_u20223, _u20216)) )).
% 12.32/12.58 cnf(matrix-7917, plain, ( ( hAPP(c_List_Ofilter(_u20222, _u20224), _u20226) = c_List_Olist_ONil(_u20222)) | hBOOL(hAPP(hAPP(c_member(_u20222), skolem493(_u20226, _u20224, _u20222)), hAPP(c_List_Oset(_u20222), _u20226))) )).
% 12.32/12.58 cnf(matrix-7918, plain, ( ( hAPP(c_List_Ofilter(_u20222, _u20224), _u20226) = c_List_Olist_ONil(_u20222)) | hBOOL(hAPP(_u20224, skolem493(_u20226, _u20224, _u20222))) )).
% 12.32/12.58 cnf(matrix-7919, plain, ( ( hAPP(c_List_Ofilter(_u20227, _u20228), c_List_Olist_ONil(_u20227)) = c_List_Olist_ONil(_u20227)) )).
% 12.32/12.58 cnf(matrix-7920, plain, ( ( c_List_Opartition(_u20229, _u20230, _u20231) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20229), tc_List_Olist(_u20229)), hAPP(c_List_Ofilter(_u20229, _u20230), _u20231)), hAPP(c_List_Ofilter(_u20229, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20229, c_fNot), _u20230)), _u20231))) )).
% 12.32/12.58 cnf(matrix-7921, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20232), tc_List_Olist(_u20232)), c_List_Opartition(_u20232, _u20233, _u20234)) = hAPP(c_List_Ofilter(_u20232, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20232, c_fNot), _u20233)), _u20234)) )).
% 12.32/12.58 cnf(matrix-7922, plain, ( ( hAPP(c_List_Ofilter(_u20235, _u20236), hAPP(hAPP(c_List_Omap(_u20237, _u20235), _u20238), _u20239)) = hAPP(hAPP(c_List_Omap(_u20237, _u20235), _u20238), hAPP(c_List_Ofilter(_u20237, hAPP(c_Fun_Ocomp(_u20235, tc_HOL_Obool, _u20237, _u20236), _u20238)), _u20239))) )).
% 12.32/12.58 cnf(matrix-7923, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20240), _u20241), hAPP(c_List_Oset(_u20240), _u20242))) | hBOOL(hAPP(_u20243, _u20241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20240)), hAPP(c_List_Ofilter(_u20240, _u20243), _u20242))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20240)), _u20242))) )).
% 12.32/12.58 cnf(matrix-7924, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20244, tc_HOL_Obool)), hAPP(c_List_Oset(_u20244), _u20245)), hAPP(hAPP(c_Set_Oinsert(_u20244), _u20246), c_Orderings_Obot__class_Obot(tc_fun(_u20244, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20244), hAPP(c_List_Ofilter(_u20244, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20244), c_fNot), hAPP(hAPP(c_COMBC(_u20244, _u20244, tc_HOL_Obool), c_fequal), _u20246))), _u20245))) )).
% 12.32/12.58 cnf(matrix-7925, plain, ( ( c_List_Opartition(_u20249, _u20250, _u20251) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20249), tc_List_Olist(_u20249)), _u20252), _u20253)) | ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20247), hAPP(c_List_Oset(_u20249), _u20252))) | hBOOL(hAPP(_u20250, _u20247)) )).
% 12.32/12.58 cnf(matrix-7926, plain, ( ( c_List_Opartition(_u20249, _u20250, _u20251) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20249), tc_List_Olist(_u20249)), _u20252), _u20253)) | ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20248), hAPP(c_List_Oset(_u20249), _u20253))) | ~hBOOL(hAPP(_u20250, _u20248)) )).
% 12.32/12.58 cnf(matrix-7927, plain, ( ( c_List_Opartition(_u20254, _u20255, c_List_Olist_ONil(_u20254)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20254), tc_List_Olist(_u20254)), c_List_Olist_ONil(_u20254)), c_List_Olist_ONil(_u20254))) )).
% 12.32/12.58 cnf(matrix-7928, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20256), _u20257)) | ( hAPP(c_List_Ofilter(_u20256, hAPP(hAPP(c_COMBC(_u20256, tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20256)), hAPP(c_List_Oset(_u20256), c_List_Osublist(_u20256, _u20257, _u20258)))), _u20257) = c_List_Osublist(_u20256, _u20257, _u20258)) )).
% 12.32/12.58 cnf(matrix-7929, plain, ( ( c_List_Opartition(_u20259, _u20260, hAPP(hAPP(c_List_Olist_OCons(_u20259), _u20261), _u20262)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20259), tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_fun(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), c_COMBS(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_List_Olist(_u20259), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_List_Olist(_u20259)), hAPP(c_If(tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(_u20260, _u20261)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_List_Olist(_u20259)), c_Product__Type_OPair(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), hAPP(c_List_Olist_OCons(_u20259), _u20261))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20259), tc_fun(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259))), tc_fun(tc_fun(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_fun(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), tc_List_Olist(_u20259)), c_COMBB(tc_List_Olist(_u20259), tc_prod(tc_List_Olist(_u20259), tc_List_Olist(_u20259)), tc_List_Olist(_u20259))), c_Product__Type_OPair(tc_List_Olist(_u20259), tc_List_Olist(_u20259)))), hAPP(c_List_Olist_OCons(_u20259), _u20261)))), c_List_Opartition(_u20259, _u20260, _u20262))) )).
% 12.32/12.58 cnf(matrix-7930, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20263)), hAPP(c_List_Ofilter(_u20263, _u20264), _u20265)) = 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(_u20263)), _u20265)))), hAPP(hAPP(c_COMBB(_u20263, tc_HOL_Obool, tc_Nat_Onat), _u20264), hAPP(c_List_Onth(_u20263), _u20265)))))) )).
% 12.32/12.58 cnf(matrix-7931, plain, ( ( c_List_Omap__filter(_u20266, _u20267, _u20268, _u20269) = hAPP(hAPP(c_List_Omap(_u20266, _u20267), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20267), _u20267, _u20266, c_Option_Othe(_u20267)), _u20268)), hAPP(c_List_Ofilter(_u20266, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20266), c_fNot), hAPP(hAPP(c_COMBC(_u20266, tc_Option_Ooption(_u20267), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20267), tc_fun(tc_Option_Ooption(_u20267), tc_HOL_Obool), _u20266), c_fequal), _u20268)), c_Option_Ooption_ONone(_u20267)))), _u20269))) )).
% 12.32/12.58 cnf(matrix-7932, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u20270), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20270)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20270))), c_List_Otranspose(_u20270, _u20271), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20270))), hAPP(c_List_Ofilter(tc_List_Olist(_u20270), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20270)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20270), tc_List_Olist(_u20270), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20270)))), _u20271))) )).
% 12.32/12.58 cnf(matrix-7933, plain, ( ( hAPP(c_Map_Omap__of(_u20272, _u20273, _u20274), _u20275) != hAPP(c_Option_Ooption_OSome(_u20273), _u20276)) | ~hBOOL(hAPP(hAPP(_u20277, _u20275), _u20276)) | ( hAPP(c_Map_Omap__of(_u20272, _u20273, hAPP(c_List_Ofilter(tc_prod(_u20272, _u20273), hAPP(c_Product__Type_Oprod_Oprod__case(_u20272, _u20273, tc_HOL_Obool), _u20277)), _u20274)), _u20275) = hAPP(c_Option_Ooption_OSome(_u20273), _u20276)) )).
% 12.32/12.58 cnf(matrix-7934, plain, ( ( c_List_Otranspose(_u20278, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20279), tc_List_Olist(_u20278)), hAPP(c_List_Omap(_u20279, _u20278), _u20280)), _u20281)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20279), tc_List_Olist(_u20278)), hAPP(c_List_Omap(_u20279, _u20278), _u20280)), c_List_Otranspose(_u20279, _u20281))) )).
% 12.32/12.58 cnf(matrix-7935, plain, ( ( c_List_Omap__filter(_u20282, _u20283, _u20284, hAPP(hAPP(c_List_Olist_OCons(_u20282), _u20285), _u20286)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20283), _u20283, c_List_Omap__filter(_u20282, _u20283, _u20284, _u20286), hAPP(hAPP(c_COMBC(_u20283, tc_List_Olist(_u20283), tc_List_Olist(_u20283)), c_List_Olist_OCons(_u20283)), c_List_Omap__filter(_u20282, _u20283, _u20284, _u20286))), hAPP(_u20284, _u20285))) )).
% 12.32/12.58 cnf(matrix-7936, plain, ( ( c_List_Otranspose(_u20287, c_List_Olist_ONil(tc_List_Olist(_u20287))) = c_List_Olist_ONil(tc_List_Olist(_u20287))) )).
% 12.32/12.58 cnf(matrix-7937, plain, ( ( c_List_Omap__filter(_u20288, _u20289, _u20290, c_List_Olist_ONil(_u20288)) = c_List_Olist_ONil(_u20289)) )).
% 12.32/12.58 cnf(matrix-7938, plain, ( ( c_List_Otranspose(_u20295, _u20297) != c_List_Olist_ONil(tc_List_Olist(_u20295))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20295)), _u20291), hAPP(c_List_Oset(tc_List_Olist(_u20295)), _u20297))) | ( _u20291 = c_List_Olist_ONil(_u20295)) )).
% 12.32/12.58 cnf(matrix-7939, plain, ( ( c_List_Otranspose(_u20296, _u20298) = c_List_Olist_ONil(tc_List_Olist(_u20296))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20296)), skolem494(_u20298, _u20296)), hAPP(c_List_Oset(tc_List_Olist(_u20296)), _u20298))) )).
% 12.32/12.58 cnf(matrix-7940, plain, ( ( c_List_Otranspose(_u20296, _u20298) = c_List_Olist_ONil(tc_List_Olist(_u20296))) | ( skolem494(_u20298, _u20296) != c_List_Olist_ONil(_u20296)) )).
% 12.32/12.58 cnf(matrix-7941, plain, ( ( c_List_Otranspose(_u20299, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20299)), c_List_Olist_ONil(_u20299)), _u20300)) = c_List_Otranspose(_u20299, _u20300)) )).
% 12.32/12.58 cnf(matrix-7942, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20301, tc_Nat_Onat), _u20301), c_Product__Type_Ofst(_u20301, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20301, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20301, tc_Nat_Onat)), _u20302), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20301, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20301, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20301, tc_Nat_Onat), _u20303), _u20304))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20301, tc_Nat_Onat), _u20301), c_Product__Type_Ofst(_u20301, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20301, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20301, tc_Nat_Onat)), _u20302), c_Product__Type_Osnd(_u20301, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20301, tc_Nat_Onat), _u20303), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20304))))) )).
% 12.32/12.58 cnf(matrix-7943, plain, ( ( c_Random_Oselect__weight(_u20305, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20305), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20305, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20305)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20306)) = c_Random_Oselect__weight(_u20305, _u20306)) )).
% 12.32/12.58 cnf(matrix-7944, plain, ( ( c_Random_Opick(_u20307, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20307), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20307, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20307, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20307)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20308)) = c_Random_Opick(_u20307, _u20308)) )).
% 12.32/12.58 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20309), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20310))), c_List_Otranspose(_u20310, _u20311)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20310)), c_List_Otranspose(_u20310, _u20311)), _u20309) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20310), _u20310), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20310), tc_Nat_Onat, _u20310), c_List_Onth(_u20310)), _u20309)), hAPP(c_List_Ofilter(tc_List_Olist(_u20310), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20310)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20309)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20310)))), _u20311))) )).
% 12.32/12.58 cnf(matrix-7946, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20312))), c_List_Otranspose(_u20312, _u20313)) = c_List_Ofoldr(tc_List_Olist(_u20312), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20312)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20312))), _u20313, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7947, plain, ( ( hAPP(hAPP(c_List_Omap(_u20314, _u20315), _u20316), hAPP(c_List_Ofilter(_u20314, _u20317), _u20318)) = c_List_Omap__filter(_u20314, _u20315, hAPP(hAPP(c_COMBC(_u20314, tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315)), hAPP(hAPP(c_COMBS(_u20314, tc_Option_Ooption(_u20315), tc_fun(tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20315), tc_fun(tc_Option_Ooption(_u20315), tc_Option_Ooption(_u20315))), _u20314), c_If(tc_Option_Ooption(_u20315))), _u20317)), hAPP(hAPP(c_COMBB(_u20315, tc_Option_Ooption(_u20315), _u20314), c_Option_Ooption_OSome(_u20315)), _u20316))), c_Option_Ooption_ONone(_u20315)), _u20318)) )).
% 12.32/12.58 cnf(matrix-7948, plain, ( ~class_Orderings_Olinorder(_u20319) | ~hBOOL(hAPP(hAPP(c_member(_u20320), _u20321), hAPP(c_List_Oset(_u20320), _u20322))) | ~c_List_Olinorder__class_Osorted(_u20319, hAPP(hAPP(c_List_Omap(_u20320, _u20319), _u20323), _u20322)) | ( hAPP(c_List_Ohd(_u20320), hAPP(c_List_Ofilter(_u20320, hAPP(hAPP(c_COMBB(_u20319, tc_HOL_Obool, _u20320), hAPP(c_fequal, hAPP(_u20323, _u20321))), _u20323)), _u20322)) != _u20321) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20320, _u20319, _u20323), _u20321), c_List_Oremove1(_u20320, _u20321, _u20322)) = _u20322) )).
% 12.32/12.58 cnf(matrix-7949, plain, ( ( c_List_Osublist(_u20324, _u20325, _u20326) = hAPP(hAPP(c_List_Omap(tc_prod(_u20324, tc_Nat_Onat), _u20324), c_Product__Type_Ofst(_u20324, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20324, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20324, 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(_u20324, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20324, tc_Nat_Onat))), _u20326)), hAPP(hAPP(c_List_Ozip(_u20324, tc_Nat_Onat), _u20325), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325)))))) )).
% 12.32/12.58 cnf(matrix-7950, plain, ( ~class_Orderings_Olinorder(_u20327) | c_List_Olinorder__class_Osorted(_u20327, c_List_Olist_ONil(_u20327)) )).
% 12.32/12.58 cnf(matrix-7951, plain, ( ~class_Orderings_Olinorder(_u20328) | c_List_Olinorder__class_Osorted(_u20328, hAPP(hAPP(c_List_Olist_OCons(_u20328), _u20329), c_List_Olist_ONil(_u20328))) )).
% 12.32/12.58 cnf(matrix-7952, plain, ( ~class_Orderings_Olinorder(_u20330) | c_List_Olinorder__class_Osorted(_u20330, hAPP(c_List_Ofilter(_u20330, hAPP(hAPP(c_COMBC(_u20330, _u20330, tc_HOL_Obool), c_fequal), hAPP(_u20331, _u20332))), _u20332)) )).
% 12.32/12.58 cnf(matrix-7953, plain, ( ~class_Orderings_Olinorder(_u20333) | ~c_List_Olinorder__class_Osorted(_u20333, hAPP(hAPP(c_List_Omap(_u20334, _u20333), _u20335), _u20336)) | c_List_Olinorder__class_Osorted(_u20333, hAPP(hAPP(c_List_Omap(_u20334, _u20333), _u20335), hAPP(c_List_Ofilter(_u20334, _u20337), _u20336))) )).
% 12.32/12.58 cnf(matrix-7954, plain, ( ~class_Orderings_Olinorder(_u20338) | c_List_Olinorder__class_Osorted(_u20338, hAPP(hAPP(c_List_Omap(_u20339, _u20338), _u20340), hAPP(c_List_Ofilter(_u20339, hAPP(hAPP(c_COMBC(_u20339, _u20338, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20338, tc_fun(_u20338, tc_HOL_Obool), _u20339), c_fequal), _u20340)), hAPP(_u20341, _u20342))), _u20342))) )).
% 12.32/12.58 cnf(matrix-7955, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20343, _u20344)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20344), _u20343)) )).
% 12.32/12.58 cnf(matrix-7956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20345), _u20346)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20345, _u20346)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20346), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.32/12.58 cnf(matrix-7957, plain, ( ~class_Orderings_Olinorder(_u20347) | ( _u20348 = c_List_Olist_ONil(_u20347)) | ~c_List_Olinorder__class_Osorted(_u20347, _u20348) | c_List_Olinorder__class_Osorted(_u20347, c_List_Obutlast(_u20347, _u20348)) )).
% 12.32/12.58 cnf(matrix-7958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20349), _u20350)), _u20351)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20350), c_List_Oupt(_u20349, _u20351)) = c_List_Oupt(_u20349, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20349), _u20350))) )).
% 12.32/12.58 cnf(matrix-7959, plain, ( ( c_List_Oupt(_u20354, _u20356) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20356 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20356), _u20354)) )).
% 12.32/12.58 cnf(matrix-7960, plain, ( ( c_List_Oupt(_u20355, _u20357) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20357 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7961, plain, ( ( c_List_Oupt(_u20355, _u20357) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20357), _u20355)) )).
% 12.32/12.58 cnf(matrix-7962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20358), _u20359)) | ( c_List_Oupt(_u20359, _u20358) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7963, plain, ( ~class_Orderings_Olinorder(_u20360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20360), _u20361), _u20362)) | ~c_List_Olinorder__class_Osorted(_u20360, hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20362), _u20363)) | c_List_Olinorder__class_Osorted(_u20360, hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20361), hAPP(hAPP(c_List_Olist_OCons(_u20360), _u20362), _u20363))) )).
% 12.32/12.58 cnf(matrix-7964, plain, ( ~class_Orderings_Olinorder(_u20364) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20364), _u20365), _u20366)) )).
% 12.32/12.58 cnf(matrix-7965, plain, ( ~class_Orderings_Olinorder(_u20364) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) | c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367)) )).
% 12.32/12.58 cnf(matrix-7966, plain, ( ~class_Orderings_Olinorder(_u20364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20364), _u20365), _u20366)) | ~c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367)) | c_List_Olinorder__class_Osorted(_u20364, hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20365), hAPP(hAPP(c_List_Olist_OCons(_u20364), _u20366), _u20367))) )).
% 12.32/12.58 cnf(matrix-7967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20368), _u20369)) | ( c_List_Oupt(_u20368, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20369), _u20370)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20368, _u20369)), c_List_Oupt(_u20369, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20369), _u20370)))) )).
% 12.32/12.58 cnf(matrix-7968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20373), _u20375)) | ( c_List_Oupt(_u20373, hAPP(c_Nat_OSuc, _u20375)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20373, _u20375)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20375), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7969, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20374), _u20376)) | ( c_List_Oupt(_u20374, hAPP(c_Nat_OSuc, _u20376)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20377), _u20378)) | ( c_List_Oupt(_u20377, hAPP(c_Nat_OSuc, _u20378)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20377, _u20378)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20378), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-7971, plain, ( ~class_Orderings_Olinorder(_u20381) | ~c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | c_List_Olinorder__class_Osorted(_u20381, _u20383) )).
% 12.32/12.58 cnf(matrix-7972, plain, ( ~class_Orderings_Olinorder(_u20381) | ~c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~hBOOL(hAPP(hAPP(c_member(_u20381), _u20379), hAPP(c_List_Oset(_u20381), _u20383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20381), _u20382), _u20379)) )).
% 12.32/12.58 cnf(matrix-7973, plain, ( ~class_Orderings_Olinorder(_u20381) | c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~c_List_Olinorder__class_Osorted(_u20381, _u20383) | hBOOL(hAPP(hAPP(c_member(_u20381), skolem495(_u20383, _u20382, _u20381)), hAPP(c_List_Oset(_u20381), _u20383))) )).
% 12.32/12.58 cnf(matrix-7974, plain, ( ~class_Orderings_Olinorder(_u20381) | c_List_Olinorder__class_Osorted(_u20381, hAPP(hAPP(c_List_Olist_OCons(_u20381), _u20382), _u20383)) | ~c_List_Olinorder__class_Osorted(_u20381, _u20383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20381), _u20382), skolem495(_u20383, _u20382, _u20381))) )).
% 12.32/12.58 cnf(matrix-7975, plain, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | c_List_Olinorder__class_Osorted(_u20388, _u20389) )).
% 12.32/12.58 cnf(matrix-7976, plain, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | c_List_Olinorder__class_Osorted(_u20388, _u20390) )).
% 12.32/12.58 cnf(matrix-7977, plain, ( ~class_Orderings_Olinorder(_u20388) | ~c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~hBOOL(hAPP(hAPP(c_member(_u20388), _u20385), hAPP(c_List_Oset(_u20388), _u20389))) | ~hBOOL(hAPP(hAPP(c_member(_u20388), _u20384), hAPP(c_List_Oset(_u20388), _u20390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20388), _u20385), _u20384)) )).
% 12.32/12.58 cnf(matrix-7978, plain, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | hBOOL(hAPP(hAPP(c_member(_u20388), skolem496(_u20390, _u20389, _u20388)), hAPP(c_List_Oset(_u20388), _u20389))) )).
% 12.32/12.58 cnf(matrix-7979, plain, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | hBOOL(hAPP(hAPP(c_member(_u20388), skolem497(_u20390, _u20389, _u20388)), hAPP(c_List_Oset(_u20388), _u20390))) )).
% 12.32/12.58 cnf(matrix-7980, plain, ( ~class_Orderings_Olinorder(_u20388) | c_List_Olinorder__class_Osorted(_u20388, hAPP(hAPP(c_List_Oappend(_u20388), _u20389), _u20390)) | ~c_List_Olinorder__class_Osorted(_u20388, _u20389) | ~c_List_Olinorder__class_Osorted(_u20388, _u20390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20388), skolem496(_u20390, _u20389, _u20388)), skolem497(_u20390, _u20389, _u20388))) )).
% 12.32/12.58 cnf(matrix-7981, plain, ( ~class_Orderings_Olinorder(_u20391) | ~c_List_Olinorder__class_Osorted(_u20391, _u20392) | c_List_Olinorder__class_Osorted(_u20391, hAPP(hAPP(c_List_Odrop(_u20391), _u20393), _u20392)) )).
% 12.32/12.58 cnf(matrix-7982, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20394), c_List_Oupt(_u20395, _u20396)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20395), _u20394), _u20396)) )).
% 12.32/12.58 cnf(matrix-7983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20397), _u20398)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20397, _u20398)) = _u20397) )).
% 12.32/12.58 cnf(matrix-7984, plain, ( ~class_Orderings_Olinorder(_u20399) | ~c_List_Olinorder__class_Osorted(_u20399, _u20400) | c_List_Olinorder__class_Osorted(_u20399, c_List_Olinorder__class_Oinsort__insert__key(_u20399, _u20399, c_COMBI(_u20399), _u20401, _u20400)) )).
% 12.32/12.58 cnf(matrix-7985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20404), _u20406)) | ( c_List_Oupt(_u20404, _u20406) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20404), c_List_Oupt(hAPP(c_Nat_OSuc, _u20404), _u20406))) )).
% 12.32/12.58 cnf(matrix-7986, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20405), _u20407)) | ( c_List_Oupt(_u20405, _u20407) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-7987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20408), _u20409)) | ( c_List_Oupt(_u20408, _u20409) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20408), c_List_Oupt(hAPP(c_Nat_OSuc, _u20408), _u20409))) )).
% 12.32/12.58 cnf(matrix-7988, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20410, _u20411)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20410), _u20411)) )).
% 12.32/12.58 cnf(matrix-7989, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20412), _u20413) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20412, _u20413))) )).
% 12.32/12.58 cnf(matrix-7990, plain, ( ~class_Orderings_Olinorder(_u20414) | ~c_List_Olinorder__class_Osorted(_u20414, _u20415) | ~hBOOL(hAPP(c_List_Odistinct(_u20414), _u20415)) | ~c_List_Olinorder__class_Osorted(_u20414, _u20416) | ~hBOOL(hAPP(c_List_Odistinct(_u20414), _u20416)) | ( hAPP(c_List_Oset(_u20414), _u20415) != hAPP(c_List_Oset(_u20414), _u20416)) | ( _u20415 = _u20416) )).
% 12.32/12.58 cnf(matrix-7991, plain, ( ~class_Orderings_Olinorder(_u20417) | ~c_List_Olinorder__class_Osorted(_u20417, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20417, _u20417, c_COMBI(_u20417)), _u20418), _u20419)) | c_List_Olinorder__class_Osorted(_u20417, _u20419) )).
% 12.32/12.58 cnf(matrix-7992, plain, ( ~class_Orderings_Olinorder(_u20417) | ~c_List_Olinorder__class_Osorted(_u20417, _u20419) | c_List_Olinorder__class_Osorted(_u20417, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20417, _u20417, c_COMBI(_u20417)), _u20418), _u20419)) )).
% 12.32/12.58 cnf(matrix-7993, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20420, _u20421))) )).
% 12.32/12.58 cnf(matrix-7994, plain, ( ~class_Orderings_Olinorder(_u20422) | ~c_List_Olinorder__class_Osorted(_u20422, _u20423) | c_List_Olinorder__class_Osorted(_u20422, c_List_Oremove1(_u20422, _u20424, _u20423)) )).
% 12.32/12.58 cnf(matrix-7995, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20425, _u20426)) )).
% 12.32/12.58 cnf(matrix-7996, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20427, _u20428)) )).
% 12.32/12.58 cnf(matrix-7997, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20429), _u20430)) = c_List_Oupt(_u20429, _u20430)) )).
% 12.32/12.58 cnf(matrix-7998, plain, ( ~class_Orderings_Olinorder(_u20431) | c_List_Olinorder__class_Osorted(_u20431, c_List_Olist_ONil(_u20431)) )).
% 12.32/12.58 cnf(matrix-7999, plain, ( ( c_List_Oupt(_u20432, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-8000, plain, ( ~class_Orderings_Olinorder(_u20433) | ~c_List_Olinorder__class_Osorted(_u20433, _u20434) | c_List_Olinorder__class_Osorted(_u20433, hAPP(hAPP(c_List_Otake(_u20433), _u20435), _u20434)) )).
% 12.32/12.58 cnf(matrix-8001, plain, ( ~class_Orderings_Olinorder(_u20436) | ~c_List_Olinorder__class_Osorted(_u20436, _u20437) | c_List_Olinorder__class_Osorted(_u20436, hAPP(c_List_Otl(_u20436), _u20437)) )).
% 12.32/12.58 cnf(matrix-8002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20440)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20442)))) )).
% 12.32/12.58 cnf(matrix-8003, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20443))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20441), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20443)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-8004, plain, ( ~class_Orderings_Olinorder(_u20444) | ~c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20445, _u20444, _u20446), _u20447), _u20448))) | c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), _u20448)) )).
% 12.32/12.58 cnf(matrix-8005, plain, ( ~class_Orderings_Olinorder(_u20444) | ~c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), _u20448)) | c_List_Olinorder__class_Osorted(_u20444, hAPP(hAPP(c_List_Omap(_u20445, _u20444), _u20446), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20445, _u20444, _u20446), _u20447), _u20448))) )).
% 12.32/12.58 cnf(matrix-8006, plain, ( ~class_Orderings_Olinorder(_u20449) | ~c_List_Olinorder__class_Osorted(_u20449, hAPP(hAPP(c_List_Omap(_u20450, _u20449), _u20451), _u20452)) | c_List_Olinorder__class_Osorted(_u20449, hAPP(hAPP(c_List_Omap(_u20450, _u20449), _u20451), c_List_Oremove1(_u20450, _u20453, _u20452))) )).
% 12.32/12.58 cnf(matrix-8007, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20454, _u20455)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20454), hAPP(c_Nat_OSuc, _u20455))) )).
% 12.32/12.58 cnf(matrix-8008, plain, ( ~class_Orderings_Olinorder(_u20456) | ~c_List_Olinorder__class_Osorted(_u20456, hAPP(hAPP(c_List_Omap(_u20457, _u20456), _u20458), _u20459)) | c_List_Olinorder__class_Osorted(_u20456, hAPP(hAPP(c_List_Omap(_u20457, _u20456), _u20458), c_List_Olinorder__class_Oinsort__insert__key(_u20457, _u20456, _u20458, _u20460, _u20459))) )).
% 12.32/12.58 cnf(matrix-8009, plain, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20465), _u20467)) )).
% 12.32/12.58 cnf(matrix-8010, plain, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | ( _u20465 = _u20469) )).
% 12.32/12.58 cnf(matrix-8011, plain, ( ( c_List_Oupt(_u20465, _u20467) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20469), _u20471)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20465), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20467) = _u20471) )).
% 12.32/12.58 cnf(matrix-8012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20466), _u20468)) | ( _u20466 != _u20470) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20466), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20468) != _u20472) | ( c_List_Oupt(_u20466, _u20468) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20470), _u20472)) )).
% 12.32/12.58 cnf(matrix-8013, plain, ( ~class_Orderings_Olinorder(_u20473) | ~c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Omap(_u20474, _u20473), _u20475), _u20476)) | ~hBOOL(hAPP(_u20477, _u20478)) | ( hAPP(c_List_Ofilter(_u20474, _u20477), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20474, _u20473, _u20475), _u20478), _u20476)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20474, _u20473, _u20475), _u20478), hAPP(c_List_Ofilter(_u20474, _u20477), _u20476))) )).
% 12.32/12.58 cnf(matrix-8014, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20479), hAPP(c_List_Onth(_u20479), _u20480)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20479)), _u20480))) = _u20480) )).
% 12.32/12.58 cnf(matrix-8015, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20481, _u20482) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20481, hAPP(c_Nat_OSuc, _u20482)))) )).
% 12.32/12.58 cnf(matrix-8016, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20483) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20483))) )).
% 12.32/12.58 cnf(matrix-8017, plain, ( ~class_Groups_Ocomm__monoid__add(_u20484) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20484), _u20485), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20486, _u20487))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20484), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20484), _u20485), c_List_Oupt(_u20486, _u20487)))) )).
% 12.32/12.58 cnf(matrix-8018, plain, ( ~class_Groups_Ocomm__monoid__add(_u20488) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20488), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20488), _u20489), c_List_Oupt(_u20490, _u20491))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20488), _u20489), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20490, _u20491)))) )).
% 12.32/12.58 cnf(matrix-8019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20492), _u20493)), _u20494)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20492, _u20494)), _u20493) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20492), _u20493)) )).
% 12.32/12.58 cnf(matrix-8020, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20495, _u20496) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20495), hAPP(c_Nat_OSuc, _u20496)))) )).
% 12.32/12.58 cnf(matrix-8021, plain, ( ~class_Orderings_Olinorder(_u20499) | ~c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~hBOOL(hAPP(hAPP(c_member(_u20499), _u20497), hAPP(c_List_Oset(_u20499), _u20501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20499), _u20500), _u20497)) )).
% 12.32/12.58 cnf(matrix-8022, plain, ( ~class_Orderings_Olinorder(_u20499) | ~c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | c_List_Olinorder__class_Osorted(_u20499, _u20501) )).
% 12.32/12.58 cnf(matrix-8023, plain, ( ~class_Orderings_Olinorder(_u20499) | c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~c_List_Olinorder__class_Osorted(_u20499, _u20501) | hBOOL(hAPP(hAPP(c_member(_u20499), skolem498(_u20501, _u20500, _u20499)), hAPP(c_List_Oset(_u20499), _u20501))) )).
% 12.32/12.58 cnf(matrix-8024, plain, ( ~class_Orderings_Olinorder(_u20499) | c_List_Olinorder__class_Osorted(_u20499, hAPP(hAPP(c_List_Olist_OCons(_u20499), _u20500), _u20501)) | ~c_List_Olinorder__class_Osorted(_u20499, _u20501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20499), _u20500), skolem498(_u20501, _u20500, _u20499))) )).
% 12.32/12.58 cnf(matrix-8025, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20502, _u20503) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20502), _u20503))) )).
% 12.32/12.58 cnf(matrix-8026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20505), _u20506))) | ( hAPP(hAPP(c_List_Onth(_u20507), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20507), _u20508), c_List_Oupt(_u20506, _u20505))), _u20504) = hAPP(_u20508, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20506), _u20504))) )).
% 12.32/12.58 cnf(matrix-8027, plain, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | ( hAPP(c_List_Oset(_u20509), c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510)) = _u20510) )).
% 12.32/12.58 cnf(matrix-8028, plain, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | c_List_Olinorder__class_Osorted(_u20509, c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510)) )).
% 12.32/12.58 cnf(matrix-8029, plain, ( ~class_Orderings_Olinorder(_u20509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20509), _u20510)) | hBOOL(hAPP(c_List_Odistinct(_u20509), c_List_Olinorder__class_Osorted__list__of__set(_u20509, _u20510))) )).
% 12.32/12.58 cnf(matrix-8030, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20511) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20511)))) )).
% 12.32/12.58 cnf(matrix-8031, plain, ( ~class_Orderings_Olinorder(_u20512) | ~hBOOL(hAPP(hAPP(c_member(_u20512), _u20513), hAPP(c_List_Oset(_u20512), _u20514))) | ~c_List_Olinorder__class_Osorted(_u20512, _u20514) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20512, _u20512, c_COMBI(_u20512)), _u20513), c_List_Oremove1(_u20512, _u20513, _u20514)) = _u20514) )).
% 12.32/12.58 cnf(matrix-8032, plain, ( ~class_Orderings_Olinorder(_u20519) | ~c_List_Olinorder__class_Osorted(_u20519, _u20520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20516), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20519)), _u20520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20515), _u20516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20519), hAPP(hAPP(c_List_Onth(_u20519), _u20520), _u20515)), hAPP(hAPP(c_List_Onth(_u20519), _u20520), _u20516))) )).
% 12.32/12.58 cnf(matrix-8033, plain, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem499(_u20520, _u20519)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20519)), _u20520))) )).
% 12.32/12.58 cnf(matrix-8034, plain, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem500(_u20520, _u20519)), skolem499(_u20520, _u20519))) )).
% 12.32/12.58 cnf(matrix-8035, plain, ( ~class_Orderings_Olinorder(_u20519) | c_List_Olinorder__class_Osorted(_u20519, _u20520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20519), hAPP(hAPP(c_List_Onth(_u20519), _u20520), skolem500(_u20520, _u20519))), hAPP(hAPP(c_List_Onth(_u20519), _u20520), skolem499(_u20520, _u20519)))) )).
% 12.32/12.58 cnf(matrix-8036, plain, ( ~class_Orderings_Olinorder(_u20521) | ~c_List_Olinorder__class_Osorted(_u20521, _u20522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20523), _u20524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20524), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)), _u20522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20521), hAPP(hAPP(c_List_Onth(_u20521), _u20522), _u20523)), hAPP(hAPP(c_List_Onth(_u20521), _u20522), _u20524))) )).
% 12.32/12.58 cnf(matrix-8037, plain, ( ~class_Orderings_Olinorder(_u20525) | ~c_Fun_Oinj__on(_u20526, _u20525, _u20527, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20526, tc_HOL_Obool)), hAPP(c_List_Oset(_u20526), _u20528)), hAPP(c_List_Oset(_u20526), _u20529))) | ~c_List_Olinorder__class_Osorted(_u20525, hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20528)) | ~hBOOL(hAPP(c_List_Odistinct(_u20525), hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20528))) | ~c_List_Olinorder__class_Osorted(_u20525, hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20529)) | ~hBOOL(hAPP(c_List_Odistinct(_u20525), hAPP(hAPP(c_List_Omap(_u20526, _u20525), _u20527), _u20529))) | ( hAPP(c_List_Oset(_u20526), _u20528) != hAPP(c_List_Oset(_u20526), _u20529)) | ( _u20528 = _u20529) )).
% 12.32/12.58 cnf(matrix-8038, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20530, tc_Nat_Onat), _u20530), c_Product__Type_Ofst(_u20530, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20530, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20530, tc_Nat_Onat))), _u20531)), hAPP(hAPP(c_List_Ozip(_u20530, tc_Nat_Onat), _u20532), c_List_Oupt(_u20533, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20533), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20530)), _u20532)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20530, tc_Nat_Onat), _u20530), c_Product__Type_Ofst(_u20530, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20530, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20530, 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(_u20530, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20530, tc_Nat_Onat))), _u20533))), _u20531)), hAPP(hAPP(c_List_Ozip(_u20530, tc_Nat_Onat), _u20532), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20530)), _u20532)))))) )).
% 12.32/12.58 cnf(matrix-8039, plain, ( ( _u20535 = c_List_Olist_ONil(tc_List_Olist(_u20536))) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20537, _u20536, _u20535)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535))) )).
% 12.32/12.58 cnf(matrix-8040, plain, ( ( _u20535 = c_List_Olist_ONil(tc_List_Olist(_u20536))) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535), skolem501(_u20537, _u20536, _u20535))) != _u20537) )).
% 12.32/12.58 cnf(matrix-8041, plain, ( ( _u20537 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20537, _u20536, _u20535)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535))) )).
% 12.32/12.58 cnf(matrix-8042, plain, ( ( _u20537 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20536, _u20535) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20536), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20536)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20536)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20536), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20536), tc_fun(tc_Nat_Onat, _u20536), tc_Nat_Onat), c_List_Onth(_u20536)), hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20536))), _u20535)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20537))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20536)), _u20535), skolem501(_u20537, _u20536, _u20535))) != _u20537) )).
% 12.32/12.58 cnf(matrix-8043, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20538)), c_List_Otranspose__rel(_u20538)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20538)), c_List_Olist_ONil(_u20538)), _u20539))) | ( c_List_Otranspose(_u20538, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20538)), c_List_Olist_ONil(_u20538)), _u20539)) = c_List_Otranspose(_u20538, _u20539)) )).
% 12.32/12.58 cnf(matrix-8044, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20540)), c_List_Otranspose__rel(_u20540)), c_List_Olist_ONil(tc_List_Olist(_u20540)))) | ( c_List_Otranspose(_u20540, c_List_Olist_ONil(tc_List_Olist(_u20540))) = c_List_Olist_ONil(tc_List_Olist(_u20540))) )).
% 12.32/12.58 cnf(matrix-8045, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20541), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20541))), _u20542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20543), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20541))), _u20542))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20541), _u20541), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20541), tc_Nat_Onat, _u20541), c_List_Onth(_u20541)), _u20543)), hAPP(c_List_Ofilter(tc_List_Olist(_u20541), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20541)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20543)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20541)))), c_List_Otranspose(_u20541, _u20542))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20541)), _u20542), _u20543)) )).
% 12.32/12.58 cnf(matrix-8046, plain, ( ( c_List_Oconcat(_u20544, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20544), tc_List_Olist(_u20544)), c_List_Olist_Olist__case(tc_List_Olist(_u20544), _u20544, c_List_Olist_ONil(_u20544), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20544), tc_fun(tc_List_Olist(_u20544), tc_List_Olist(_u20544)), _u20544), c_COMBK(tc_List_Olist(_u20544), tc_List_Olist(_u20544))), hAPP(hAPP(c_COMBC(_u20544, tc_List_Olist(_u20544), tc_List_Olist(_u20544)), c_List_Olist_OCons(_u20544)), c_List_Olist_ONil(_u20544))))), _u20545)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20544), _u20544), c_List_Ohd(_u20544)), hAPP(c_List_Ofilter(tc_List_Olist(_u20544), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20544)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20544), tc_List_Olist(_u20544), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20544)))), _u20545))) )).
% 12.32/12.58 cnf(matrix-8047, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u20546), tc_List_Olist(_u20546), c_List_Orev(_u20546), _u20547) )).
% 12.32/12.58 cnf(matrix-8048, plain, ( ( hAPP(c_List_Ofilter(_u20548, _u20549), c_List_Oconcat(_u20548, _u20550)) = c_List_Oconcat(_u20548, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(_u20548)), c_List_Ofilter(_u20548, _u20549)), _u20550))) )).
% 12.32/12.58 cnf(matrix-8049, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20551)), c_List_Oconcat(_u20551, _u20552)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20551), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20551))), _u20552))) )).
% 12.32/12.58 cnf(matrix-8050, plain, ( ( hAPP(c_List_Orev(_u20553), hAPP(hAPP(c_List_Olist_OCons(_u20553), _u20554), _u20555)) = hAPP(hAPP(c_List_Oappend(_u20553), hAPP(c_List_Orev(_u20553), _u20555)), hAPP(hAPP(c_List_Olist_OCons(_u20553), _u20554), c_List_Olist_ONil(_u20553)))) )).
% 12.32/12.58 cnf(matrix-8051, plain, ( ( hAPP(c_List_Orev(_u20560), _u20562) != hAPP(hAPP(c_List_Olist_OCons(_u20560), _u20564), _u20566)) | ( _u20562 = hAPP(hAPP(c_List_Oappend(_u20560), hAPP(c_List_Orev(_u20560), _u20566)), hAPP(hAPP(c_List_Olist_OCons(_u20560), _u20564), c_List_Olist_ONil(_u20560)))) )).
% 12.32/12.58 cnf(matrix-8052, plain, ( ( _u20563 != hAPP(hAPP(c_List_Oappend(_u20561), hAPP(c_List_Orev(_u20561), _u20567)), hAPP(hAPP(c_List_Olist_OCons(_u20561), _u20565), c_List_Olist_ONil(_u20561)))) | ( hAPP(c_List_Orev(_u20561), _u20563) = hAPP(hAPP(c_List_Olist_OCons(_u20561), _u20565), _u20567)) )).
% 12.32/12.58 cnf(matrix-8053, plain, ( ( c_List_Oconcat(_u20568, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20568)), _u20569), _u20570)) = hAPP(hAPP(c_List_Oappend(_u20568), _u20569), c_List_Oconcat(_u20568, _u20570))) )).
% 12.32/12.58 cnf(matrix-8054, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20574), _u20576), c_List_Olist_ONil(_u20574)) != hAPP(c_List_Orev(_u20574), _u20578)) | ( _u20578 = hAPP(hAPP(c_List_Olist_OCons(_u20574), _u20576), c_List_Olist_ONil(_u20574))) )).
% 12.32/12.58 cnf(matrix-8055, plain, ( ( _u20579 != hAPP(hAPP(c_List_Olist_OCons(_u20575), _u20577), c_List_Olist_ONil(_u20575))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20575), _u20577), c_List_Olist_ONil(_u20575)) = hAPP(c_List_Orev(_u20575), _u20579)) )).
% 12.32/12.58 cnf(matrix-8056, plain, ( ( hAPP(c_List_Orev(_u20583), _u20585) != hAPP(hAPP(c_List_Olist_OCons(_u20583), _u20587), c_List_Olist_ONil(_u20583))) | ( _u20585 = hAPP(hAPP(c_List_Olist_OCons(_u20583), _u20587), c_List_Olist_ONil(_u20583))) )).
% 12.32/12.58 cnf(matrix-8057, plain, ( ( _u20586 != hAPP(hAPP(c_List_Olist_OCons(_u20584), _u20588), c_List_Olist_ONil(_u20584))) | ( hAPP(c_List_Orev(_u20584), _u20586) = hAPP(hAPP(c_List_Olist_OCons(_u20584), _u20588), c_List_Olist_ONil(_u20584))) )).
% 12.32/12.58 cnf(matrix-8058, plain, ( ( c_List_Olist_ONil(_u20593) != c_List_Oconcat(_u20593, _u20595)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20593)), _u20589), hAPP(c_List_Oset(tc_List_Olist(_u20593)), _u20595))) | ( _u20589 = c_List_Olist_ONil(_u20593)) )).
% 12.32/12.58 cnf(matrix-8059, plain, ( ( c_List_Olist_ONil(_u20594) = c_List_Oconcat(_u20594, _u20596)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20594)), skolem502(_u20596, _u20594)), hAPP(c_List_Oset(tc_List_Olist(_u20594)), _u20596))) )).
% 12.32/12.58 cnf(matrix-8060, plain, ( ( c_List_Olist_ONil(_u20594) = c_List_Oconcat(_u20594, _u20596)) | ( skolem502(_u20596, _u20594) != c_List_Olist_ONil(_u20594)) )).
% 12.32/12.58 cnf(matrix-8061, plain, ( ( c_List_Oconcat(_u20601, _u20603) != c_List_Olist_ONil(_u20601)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20601)), _u20597), hAPP(c_List_Oset(tc_List_Olist(_u20601)), _u20603))) | ( _u20597 = c_List_Olist_ONil(_u20601)) )).
% 12.32/12.58 cnf(matrix-8062, plain, ( ( c_List_Oconcat(_u20602, _u20604) = c_List_Olist_ONil(_u20602)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20602)), skolem503(_u20604, _u20602)), hAPP(c_List_Oset(tc_List_Olist(_u20602)), _u20604))) )).
% 12.32/12.58 cnf(matrix-8063, plain, ( ( c_List_Oconcat(_u20602, _u20604) = c_List_Olist_ONil(_u20602)) | ( skolem503(_u20604, _u20602) != c_List_Olist_ONil(_u20602)) )).
% 12.32/12.58 cnf(matrix-8064, plain, ( ( hAPP(c_List_Orev(_u20607), _u20609) != c_List_Olist_ONil(_u20607)) | ( _u20609 = c_List_Olist_ONil(_u20607)) )).
% 12.32/12.58 cnf(matrix-8065, plain, ( ( _u20610 != c_List_Olist_ONil(_u20608)) | ( hAPP(c_List_Orev(_u20608), _u20610) = c_List_Olist_ONil(_u20608)) )).
% 12.32/12.58 cnf(matrix-8066, plain, ( ( c_List_Olist_ONil(_u20613) != hAPP(c_List_Orev(_u20613), _u20615)) | ( _u20615 = c_List_Olist_ONil(_u20613)) )).
% 12.32/12.58 cnf(matrix-8067, plain, ( ( _u20616 != c_List_Olist_ONil(_u20614)) | ( c_List_Olist_ONil(_u20614) = hAPP(c_List_Orev(_u20614), _u20616)) )).
% 12.32/12.58 cnf(matrix-8068, plain, ( ( c_List_Oconcat(_u20617, c_List_Olist_ONil(tc_List_Olist(_u20617))) = c_List_Olist_ONil(_u20617)) )).
% 12.32/12.58 cnf(matrix-8069, plain, ( ( hAPP(c_List_Orev(_u20618), c_List_Olist_ONil(_u20618)) = c_List_Olist_ONil(_u20618)) )).
% 12.32/12.58 cnf(matrix-8070, plain, ( ( hAPP(hAPP(c_List_Omap(_u20619, _u20620), _u20621), c_List_Oconcat(_u20619, _u20622)) = c_List_Oconcat(_u20620, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20619), tc_List_Olist(_u20620)), hAPP(c_List_Omap(_u20619, _u20620), _u20621)), _u20622))) )).
% 12.32/12.58 cnf(matrix-8071, plain, ( ( hAPP(c_List_Orev(_u20623), hAPP(hAPP(c_List_Omap(_u20624, _u20623), _u20625), _u20626)) = hAPP(hAPP(c_List_Omap(_u20624, _u20623), _u20625), hAPP(c_List_Orev(_u20624), _u20626))) )).
% 12.32/12.58 cnf(matrix-8072, plain, ( ( hAPP(c_List_Orev(_u20627), c_List_Oconcat(_u20627, _u20628)) = c_List_Oconcat(_u20627, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20627), tc_List_Olist(_u20627)), c_List_Orev(_u20627)), hAPP(c_List_Orev(tc_List_Olist(_u20627)), _u20628)))) )).
% 12.32/12.58 cnf(matrix-8073, plain, ( ( c_List_Oconcat(_u20629, _u20630) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20629), tc_List_Olist(_u20629), c_List_Oappend(_u20629), c_List_Olist_ONil(_u20629)), _u20630)) )).
% 12.32/12.58 cnf(matrix-8074, plain, ( ( hAPP(c_List_Orev(_u20631), _u20632) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20631), _u20631, hAPP(c_COMBC(_u20631, tc_List_Olist(_u20631), tc_List_Olist(_u20631)), c_List_Olist_OCons(_u20631)), c_List_Olist_ONil(_u20631)), _u20632)) )).
% 12.32/12.58 cnf(matrix-8075, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20633), tc_List_Olist(_u20633), c_List_Oappend(_u20633), _u20634), _u20635) = hAPP(hAPP(c_List_Oappend(_u20633), _u20634), c_List_Oconcat(_u20633, _u20635))) )).
% 12.32/12.58 cnf(matrix-8076, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20638), hAPP(c_List_Orev(_u20638), _u20640))) | hBOOL(hAPP(c_List_Odistinct(_u20638), _u20640)) )).
% 12.32/12.58 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20639), _u20641)) | hBOOL(hAPP(c_List_Odistinct(_u20639), hAPP(c_List_Orev(_u20639), _u20641))) )).
% 12.32/12.58 cnf(matrix-8078, plain, ( ( c_List_Oconcat(_u20642, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20642)), _u20643), _u20644)) = hAPP(hAPP(c_List_Oappend(_u20642), c_List_Oconcat(_u20642, _u20643)), c_List_Oconcat(_u20642, _u20644))) )).
% 12.32/12.58 cnf(matrix-8079, plain, ( ( hAPP(c_List_Orev(_u20645), hAPP(hAPP(c_List_Oappend(_u20645), _u20646), _u20647)) = hAPP(hAPP(c_List_Oappend(_u20645), hAPP(c_List_Orev(_u20645), _u20647)), hAPP(c_List_Orev(_u20645), _u20646))) )).
% 12.32/12.58 cnf(matrix-8080, plain, ( ( hAPP(c_List_Oset(_u20648), c_List_Oconcat(_u20648, _u20649)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20648), tc_fun(_u20648, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20648)), _u20649)), c_List_Oset(_u20648))) )).
% 12.32/12.58 cnf(matrix-8081, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20650)), hAPP(c_List_Orev(_u20650), _u20651)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20650)), _u20651)) )).
% 12.32/12.58 cnf(matrix-8082, plain, ( ~class_Groups_Ocomm__monoid__add(_u20652) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20652), hAPP(c_List_Orev(_u20652), _u20653)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20652), _u20653)) )).
% 12.32/12.58 cnf(matrix-8083, plain, ( ( hAPP(c_List_Orev(_u20654), hAPP(c_List_Orev(_u20654), _u20655)) = _u20655) )).
% 12.32/12.58 cnf(matrix-8084, plain, ( ( hAPP(c_List_Orev(_u20659), _u20661) != _u20663) | ( _u20661 = hAPP(c_List_Orev(_u20659), _u20663)) )).
% 12.32/12.58 cnf(matrix-8085, plain, ( ( _u20662 != hAPP(c_List_Orev(_u20660), _u20664)) | ( hAPP(c_List_Orev(_u20660), _u20662) = _u20664) )).
% 12.32/12.58 cnf(matrix-8086, plain, ( ( _u20670 = _u20672) | ( hAPP(c_List_Orev(_u20668), _u20670) != hAPP(c_List_Orev(_u20668), _u20672)) )).
% 12.32/12.58 cnf(matrix-8087, plain, ( ( _u20671 != _u20673) | ( hAPP(c_List_Orev(_u20669), _u20671) = hAPP(c_List_Orev(_u20669), _u20673)) )).
% 12.32/12.58 cnf(matrix-8088, plain, ( ( hAPP(c_List_Ofoldl(_u20674, _u20675, _u20676, _u20677), _u20678) = c_List_Ofoldr(_u20675, _u20674, hAPP(c_COMBC(_u20674, _u20675, _u20674), _u20676), hAPP(c_List_Orev(_u20675), _u20678), _u20677)) )).
% 12.32/12.58 cnf(matrix-8089, plain, ( ( c_List_Ofoldr(_u20679, _u20680, _u20681, _u20682, _u20683) = hAPP(c_List_Ofoldl(_u20680, _u20679, hAPP(c_COMBC(_u20679, _u20680, _u20680), _u20681), _u20683), hAPP(c_List_Orev(_u20679), _u20682))) )).
% 12.32/12.58 cnf(matrix-8090, plain, ( ( hAPP(c_List_Oset(_u20684), hAPP(c_List_Orev(_u20684), _u20685)) = hAPP(c_List_Oset(_u20684), _u20685)) )).
% 12.32/12.58 cnf(matrix-8091, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20686)), _u20687) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20688)), _u20689)) | ( hAPP(hAPP(c_List_Ozip(_u20686, _u20688), hAPP(c_List_Orev(_u20686), _u20687)), hAPP(c_List_Orev(_u20688), _u20689)) = hAPP(c_List_Orev(tc_prod(_u20686, _u20688)), hAPP(hAPP(c_List_Ozip(_u20686, _u20688), _u20687), _u20689))) )).
% 12.32/12.58 cnf(matrix-8092, plain, ( ( hAPP(c_List_Orev(_u20690), hAPP(c_List_Ofilter(_u20690, _u20691), _u20692)) = hAPP(c_List_Ofilter(_u20690, _u20691), hAPP(c_List_Orev(_u20690), _u20692))) )).
% 12.32/12.58 cnf(matrix-8093, plain, ( ( _u20693 = c_List_Olist_ONil(_u20694)) | ( hAPP(c_List_Ohd(_u20694), hAPP(c_List_Orev(_u20694), _u20693)) = c_List_Olast(_u20694, _u20693)) )).
% 12.32/12.58 cnf(matrix-8094, plain, ( ( _u20695 = c_List_Olist_ONil(_u20696)) | ( c_List_Olast(_u20696, hAPP(c_List_Orev(_u20696), _u20695)) = hAPP(c_List_Ohd(_u20696), _u20695)) )).
% 12.32/12.58 cnf(matrix-8095, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20697), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20697))), c_List_Otranspose(_u20697, _u20698)))) )).
% 12.32/12.58 cnf(matrix-8096, plain, ( ( hAPP(c_List_Orev(_u20699), hAPP(hAPP(c_List_Otake(_u20699), _u20700), _u20701)) = hAPP(hAPP(c_List_Odrop(_u20699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20699)), _u20701)), _u20700)), hAPP(c_List_Orev(_u20699), _u20701))) )).
% 12.32/12.58 cnf(matrix-8097, plain, ( ( hAPP(c_List_Orev(_u20702), hAPP(hAPP(c_List_Odrop(_u20702), _u20703), _u20704)) = hAPP(hAPP(c_List_Otake(_u20702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20702)), _u20704)), _u20703)), hAPP(c_List_Orev(_u20702), _u20704))) )).
% 12.32/12.58 cnf(matrix-8098, plain, ( ( hAPP(c_List_Orotate(_u20705, _u20706), hAPP(c_List_Orev(_u20705), _u20707)) = hAPP(c_List_Orev(_u20705), hAPP(c_List_Orotate(_u20705, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20705)), _u20707)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20706, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20705)), _u20707)))), _u20707))) )).
% 12.32/12.58 cnf(matrix-8099, plain, ( ( c_List_Otranspose(_u20708, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), hAPP(hAPP(c_List_Olist_OCons(_u20708), _u20709), _u20710)), _u20711)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), hAPP(hAPP(c_List_Olist_OCons(_u20708), _u20709), c_List_Oconcat(_u20708, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20708), tc_List_Olist(_u20708)), c_List_Olist_Olist__case(tc_List_Olist(_u20708), _u20708, c_List_Olist_ONil(_u20708), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20708), tc_fun(tc_List_Olist(_u20708), tc_List_Olist(_u20708)), _u20708), c_COMBK(tc_List_Olist(_u20708), tc_List_Olist(_u20708))), hAPP(hAPP(c_COMBC(_u20708, tc_List_Olist(_u20708), tc_List_Olist(_u20708)), c_List_Olist_OCons(_u20708)), c_List_Olist_ONil(_u20708))))), _u20711)))), c_List_Otranspose(_u20708, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20708)), _u20710), c_List_Oconcat(tc_List_Olist(_u20708), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20708)), _u20708, c_List_Olist_ONil(tc_List_Olist(_u20708)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708))), _u20708), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20708), tc_List_Olist(tc_List_Olist(_u20708)), tc_List_Olist(tc_List_Olist(_u20708))), c_List_Olist_OCons(tc_List_Olist(_u20708))), c_List_Olist_ONil(tc_List_Olist(_u20708)))))), _u20711)))))) )).
% 12.32/12.58 cnf(matrix-8100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20712), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20713)), _u20714))) | ( hAPP(hAPP(c_List_Onth(_u20713), hAPP(c_List_Orev(_u20713), _u20714)), _u20712) = hAPP(hAPP(c_List_Onth(_u20713), _u20714), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20713)), _u20714)), hAPP(c_Nat_OSuc, _u20712)))) )).
% 12.32/12.58 cnf(matrix-8101, plain, ( ( c_List_Oconcat(_u20716, _u20717) != c_List_Oconcat(_u20716, _u20718)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20717) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20718)) | ( _u20717 = _u20718) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20716), tc_List_Olist(_u20716))), skolem504(_u20718, _u20717, _u20716)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20716), tc_List_Olist(_u20716))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20716), tc_List_Olist(_u20716)), _u20717), _u20718)))) )).
% 12.32/12.58 cnf(matrix-8102, plain, ( ( c_List_Oconcat(_u20716, _u20717) != c_List_Oconcat(_u20716, _u20718)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20717) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20716))), _u20718)) | ( _u20717 = _u20718) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20716), tc_List_Olist(_u20716), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20716), tc_fun(tc_List_Olist(_u20716), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20716), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20716), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20716), tc_HOL_Obool)), tc_List_Olist(_u20716)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20716))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20716)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20716))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20716)))), skolem504(_u20718, _u20717, _u20716))) )).
% 12.32/12.58 cnf(matrix-8103, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), skolem505(_u20722, _u20721, _u20720)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20720), tc_List_Olist(_u20720)), _u20721), _u20722)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( c_List_Oconcat(_u20720, _u20721) != c_List_Oconcat(_u20720, _u20722)) | ( _u20721 = _u20722) )).
% 12.32/12.58 cnf(matrix-8104, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), skolem505(_u20722, _u20721, _u20720)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20720), tc_List_Olist(_u20720))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20720), tc_List_Olist(_u20720)), _u20721), _u20722)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( _u20721 != _u20722) | ( c_List_Oconcat(_u20720, _u20721) = c_List_Oconcat(_u20720, _u20722)) )).
% 12.32/12.58 cnf(matrix-8105, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20720), tc_List_Olist(_u20720), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20720), tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), tc_List_Olist(_u20720)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20720))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20720)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720)))), skolem505(_u20722, _u20721, _u20720))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( c_List_Oconcat(_u20720, _u20721) != c_List_Oconcat(_u20720, _u20722)) | ( _u20721 = _u20722) )).
% 12.32/12.58 cnf(matrix-8106, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20720), tc_List_Olist(_u20720), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20720), tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20720), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20720), tc_HOL_Obool)), tc_List_Olist(_u20720)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20720))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20720)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20720)))), skolem505(_u20722, _u20721, _u20720))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20721) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20720))), _u20722)) | ( _u20721 != _u20722) | ( c_List_Oconcat(_u20720, _u20721) = c_List_Oconcat(_u20720, _u20722)) )).
% 12.32/12.58 cnf(matrix-8107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20723), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20724)), _u20725))) | ( hAPP(c_List_Orev(_u20724), hAPP(hAPP(c_List_Olist__update(_u20724, _u20725), _u20723), _u20726)) = hAPP(hAPP(c_List_Olist__update(_u20724, hAPP(c_List_Orev(_u20724), _u20725)), 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(_u20724)), _u20725)), _u20723)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20726)) )).
% 12.32/12.58 cnf(matrix-8108, plain, ( ( c_List_Oconcat(_u20727, hAPP(hAPP(c_List_Omap(_u20728, tc_List_Olist(_u20727)), hAPP(hAPP(c_COMBC(_u20728, tc_List_Olist(_u20727), tc_List_Olist(_u20727)), hAPP(hAPP(c_COMBB(_u20727, tc_fun(tc_List_Olist(_u20727), tc_List_Olist(_u20727)), _u20728), c_List_Olist_OCons(_u20727)), _u20729)), c_List_Olist_ONil(_u20727))), _u20730)) = hAPP(hAPP(c_List_Omap(_u20728, _u20727), _u20729), _u20730)) )).
% 12.32/12.58 cnf(matrix-8109, plain, ( ~class_Orderings_Olinorder(_u20731) | ~c_List_Olinorder__class_Osorted(_u20731, hAPP(c_List_Orev(_u20731), _u20732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20733), _u20734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20734), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20731)), _u20732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20731), hAPP(hAPP(c_List_Onth(_u20731), _u20732), _u20734)), hAPP(hAPP(c_List_Onth(_u20731), _u20732), _u20733))) )).
% 12.32/12.58 cnf(matrix-8110, plain, ( ~class_Orderings_Olinorder(_u20735) | ~c_List_Olinorder__class_Osorted(_u20735, hAPP(c_List_Orev(_u20735), _u20736)) | ( _u20736 != c_List_Olist_ONil(_u20735)) | ( c_List_Ofoldr(_u20735, _u20735, c_Orderings_Oord__class_Omax(_u20735), _u20736, _u20737) = _u20737) )).
% 12.32/12.58 cnf(matrix-8111, plain, ( ~class_Orderings_Olinorder(_u20735) | ~c_List_Olinorder__class_Osorted(_u20735, hAPP(c_List_Orev(_u20735), _u20736)) | ( _u20736 = c_List_Olist_ONil(_u20735)) | ( c_List_Ofoldr(_u20735, _u20735, c_Orderings_Oord__class_Omax(_u20735), _u20736, _u20737) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20735), hAPP(hAPP(c_List_Onth(_u20735), _u20736), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20737)) )).
% 12.32/12.58 cnf(matrix-8112, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20738)), c_List_Otranspose__rel(_u20738)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), _u20740)), _u20741))) | ( c_List_Otranspose(_u20738, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), _u20740)), _u20741)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), hAPP(hAPP(c_List_Olist_OCons(_u20738), _u20739), c_List_Oconcat(_u20738, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20738), tc_List_Olist(_u20738)), c_List_Olist_Olist__case(tc_List_Olist(_u20738), _u20738, c_List_Olist_ONil(_u20738), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20738), tc_fun(tc_List_Olist(_u20738), tc_List_Olist(_u20738)), _u20738), c_COMBK(tc_List_Olist(_u20738), tc_List_Olist(_u20738))), hAPP(hAPP(c_COMBC(_u20738, tc_List_Olist(_u20738), tc_List_Olist(_u20738)), c_List_Olist_OCons(_u20738)), c_List_Olist_ONil(_u20738))))), _u20741)))), c_List_Otranspose(_u20738, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20738)), _u20740), c_List_Oconcat(tc_List_Olist(_u20738), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20738)), _u20738, c_List_Olist_ONil(tc_List_Olist(_u20738)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738))), _u20738), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20738), tc_List_Olist(tc_List_Olist(_u20738)), tc_List_Olist(tc_List_Olist(_u20738))), c_List_Olist_OCons(tc_List_Olist(_u20738))), c_List_Olist_ONil(tc_List_Olist(_u20738)))))), _u20741)))))) )).
% 12.32/12.58 cnf(matrix-8113, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20742), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20742))), _u20743))) | ( _u20743 != c_List_Olist_ONil(tc_List_Olist(_u20742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20742))), c_List_Otranspose(_u20742, _u20743)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.32/12.58 cnf(matrix-8114, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20742), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20742))), _u20743))) | ( _u20743 = c_List_Olist_ONil(tc_List_Olist(_u20742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20742))), c_List_Otranspose(_u20742, _u20743)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20742)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20742)), _u20743), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.32/12.58 cnf(matrix-8115, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20744), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20744))), _u20745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20746), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20744))), _u20745))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20744))), hAPP(c_List_Ofilter(tc_List_Olist(_u20744), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20744)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20746)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20744)))), c_List_Otranspose(_u20744, _u20745))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20744)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20744)), _u20745), _u20746))) )).
% 12.32/12.58 cnf(matrix-8116, plain, ( ( c_List_Oconcat(tc_List_Olist(_u20747), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20747)), _u20747, c_List_Olist_ONil(tc_List_Olist(_u20747)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747))), _u20747), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20747), tc_List_Olist(tc_List_Olist(_u20747)), tc_List_Olist(tc_List_Olist(_u20747))), c_List_Olist_OCons(tc_List_Olist(_u20747))), c_List_Olist_ONil(tc_List_Olist(_u20747)))))), _u20748)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20747), tc_List_Olist(_u20747)), c_List_Otl(_u20747)), hAPP(c_List_Ofilter(tc_List_Olist(_u20747), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20747)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20747), tc_List_Olist(_u20747), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20747)))), _u20748))) )).
% 12.32/12.58 cnf(matrix-8117, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20749), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20749))), _u20750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20749))), c_List_Otranspose(_u20749, _u20750)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20749))), hAPP(c_List_Ofilter(tc_List_Olist(_u20749), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20749)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20751)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20749)))), _u20750)))) | ( hAPP(hAPP(c_List_Onth(_u20749), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20749)), c_List_Otranspose(_u20749, _u20750)), _u20751)), _u20752) = hAPP(hAPP(c_List_Onth(_u20749), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20749)), _u20750), _u20752)), _u20751)) )).
% 12.32/12.58 cnf(matrix-8118, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20753), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20753))), _u20754))) | ( c_List_Otranspose(_u20753, c_List_Otranspose(_u20753, _u20754)) = c_List_OtakeWhile(tc_List_Olist(_u20753), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20753)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20753), tc_List_Olist(_u20753), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20753))), _u20754)) )).
% 12.32/12.58 cnf(matrix-8119, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.32/12.58 cnf(matrix-8120, plain, ( ( c_List_OtakeWhile(_u20755, _u20756, hAPP(hAPP(c_List_Omap(_u20757, _u20755), _u20758), _u20759)) = hAPP(hAPP(c_List_Omap(_u20757, _u20755), _u20758), c_List_OtakeWhile(_u20757, hAPP(c_Fun_Ocomp(_u20755, tc_HOL_Obool, _u20757, _u20756), _u20758), _u20759))) )).
% 12.32/12.58 cnf(matrix-8121, plain, ( ( c_List_Oreturn__list(_u20760) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u20760)) )).
% 12.32/12.58 cnf(matrix-8122, plain, ( ( hAPP(hAPP(c_List_Ozip(_u20761, _u20762), _u20763), c_List_OtakeWhile(_u20762, _u20764, _u20765)) = c_List_OtakeWhile(tc_prod(_u20761, _u20762), hAPP(c_Fun_Ocomp(_u20762, tc_HOL_Obool, tc_prod(_u20761, _u20762), _u20764), c_Product__Type_Osnd(_u20761, _u20762)), hAPP(hAPP(c_List_Ozip(_u20761, _u20762), _u20763), _u20765))) )).
% 12.32/12.58 cnf(matrix-8123, plain, ( ( hAPP(hAPP(c_List_Ozip(_u20766, _u20767), c_List_OtakeWhile(_u20766, _u20768, _u20769)), _u20770) = c_List_OtakeWhile(tc_prod(_u20766, _u20767), hAPP(c_Fun_Ocomp(_u20766, tc_HOL_Obool, tc_prod(_u20766, _u20767), _u20768), c_Product__Type_Ofst(_u20766, _u20767)), hAPP(hAPP(c_List_Ozip(_u20766, _u20767), _u20769), _u20770))) )).
% 12.32/12.58 cnf(matrix-8124, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), c_List_OtakeWhile(_u20771, _u20773, _u20774)))) | hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), _u20774))) )).
% 12.32/12.58 cnf(matrix-8125, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20771), _u20772), hAPP(c_List_Oset(_u20771), c_List_OtakeWhile(_u20771, _u20773, _u20774)))) | hBOOL(hAPP(_u20773, _u20772)) )).
% 12.32/12.58 cnf(matrix-8126, plain, ( ( c_List_OtakeWhile(_u20780, _u20782, _u20784) != _u20784) | ~hBOOL(hAPP(hAPP(c_member(_u20780), _u20775), hAPP(c_List_Oset(_u20780), _u20784))) | hBOOL(hAPP(_u20782, _u20775)) )).
% 12.32/12.58 cnf(matrix-8127, plain, ( ( c_List_OtakeWhile(_u20781, _u20783, _u20785) = _u20785) | hBOOL(hAPP(hAPP(c_member(_u20781), skolem506(_u20785, _u20783, _u20781)), hAPP(c_List_Oset(_u20781), _u20785))) )).
% 12.32/12.58 cnf(matrix-8128, plain, ( ( c_List_OtakeWhile(_u20781, _u20783, _u20785) = _u20785) | ~hBOOL(hAPP(_u20783, skolem506(_u20785, _u20783, _u20781))) )).
% 12.32/12.58 cnf(matrix-8129, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20786)), c_List_OtakeWhile(_u20786, _u20787, _u20788))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20786)), _u20788))) )).
% 12.32/12.58 cnf(matrix-8130, plain, ( ( c_List_OtakeWhile(_u20789, _u20790, _u20791) = hAPP(hAPP(c_List_Otake(_u20789), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20789)), c_List_OtakeWhile(_u20789, _u20790, _u20791))), _u20791)) )).
% 12.32/12.58 cnf(matrix-8131, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20792), _u20793)) | hBOOL(hAPP(c_List_Odistinct(_u20792), c_List_OtakeWhile(_u20792, _u20794, _u20793))) )).
% 12.32/12.58 cnf(matrix-8132, plain, ( ( c_List_OtakeWhile(_u20795, _u20796, c_List_Olist_ONil(_u20795)) = c_List_Olist_ONil(_u20795)) )).
% 12.32/12.58 cnf(matrix-8133, plain, ( ~class_Orderings_Olinorder(_u20797) | ~c_List_Olinorder__class_Osorted(_u20797, _u20798) | c_List_Olinorder__class_Osorted(_u20797, c_List_OtakeWhile(_u20797, _u20799, _u20798)) )).
% 12.32/12.58 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(_u20804, _u20806)) | ( c_List_OtakeWhile(_u20808, _u20804, hAPP(hAPP(c_List_Olist_OCons(_u20808), _u20806), _u20810)) = hAPP(hAPP(c_List_Olist_OCons(_u20808), _u20806), c_List_OtakeWhile(_u20808, _u20804, _u20810))) )).
% 12.32/12.58 cnf(matrix-8135, plain, ( hBOOL(hAPP(_u20805, _u20807)) | ( c_List_OtakeWhile(_u20809, _u20805, hAPP(hAPP(c_List_Olist_OCons(_u20809), _u20807), _u20811)) = c_List_Olist_ONil(_u20809)) )).
% 12.32/12.58 cnf(matrix-8136, plain, ( hBOOL(hAPP(_u20812, _u20813)) | ( c_List_OtakeWhile(_u20814, _u20812, hAPP(hAPP(c_List_Oappend(_u20814), _u20815), hAPP(hAPP(c_List_Olist_OCons(_u20814), _u20813), _u20816))) = c_List_OtakeWhile(_u20814, _u20812, _u20815)) )).
% 12.32/12.58 cnf(matrix-8137, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20817), _u20818), hAPP(c_List_Oset(_u20817), _u20819))) | hBOOL(hAPP(_u20820, _u20818)) | ( c_List_OtakeWhile(_u20817, _u20820, hAPP(hAPP(c_List_Oappend(_u20817), _u20819), _u20821)) = c_List_OtakeWhile(_u20817, _u20820, _u20819)) )).
% 12.32/12.58 cnf(matrix-8138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20822), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20823)), c_List_OtakeWhile(_u20823, _u20824, _u20825)))) | ( hAPP(hAPP(c_List_Onth(_u20823), c_List_OtakeWhile(_u20823, _u20824, _u20825)), _u20822) = hAPP(hAPP(c_List_Onth(_u20823), _u20825), _u20822)) )).
% 12.32/12.58 cnf(matrix-8139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20826)), c_List_OtakeWhile(_u20826, _u20827, _u20828))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20826)), _u20828))) | ~hBOOL(hAPP(_u20827, hAPP(hAPP(c_List_Onth(_u20826), _u20828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20826)), c_List_OtakeWhile(_u20826, _u20827, _u20828))))) )).
% 12.32/12.58 cnf(matrix-8140, plain, ( ( c_Map_Omap__upds(_u20829, _u20830, _u20831, _u20832, _u20833) = c_Map_Omap__add(_u20829, _u20830, _u20831, c_Map_Omap__of(_u20829, _u20830, hAPP(c_List_Orev(tc_prod(_u20829, _u20830)), hAPP(hAPP(c_List_Ozip(_u20829, _u20830), _u20832), _u20833))))) )).
% 12.32/12.58 cnf(matrix-8141, plain, ( ( _u20834 = c_List_Olist_ONil(_u20835)) | ~hBOOL(hAPP(c_List_Odistinct(_u20835), _u20834)) | ( c_List_OtakeWhile(_u20835, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20835), c_fNot), hAPP(hAPP(c_COMBC(_u20835, _u20835, tc_HOL_Obool), c_fequal), c_List_Olast(_u20835, _u20834))), _u20834) = c_List_Obutlast(_u20835, _u20834)) )).
% 12.32/12.58 cnf(matrix-8142, plain, ( ~class_Orderings_Olinorder(_u20836) | ~c_List_Olinorder__class_Osorted(_u20836, hAPP(c_List_Orev(_u20836), hAPP(hAPP(c_List_Omap(_u20837, _u20836), _u20838), _u20839))) | ( hAPP(c_List_Ofilter(_u20837, hAPP(hAPP(c_COMBB(_u20836, tc_HOL_Obool, _u20837), hAPP(c_Orderings_Oord__class_Oless(_u20836), _u20840)), _u20838)), _u20839) = c_List_OtakeWhile(_u20837, hAPP(hAPP(c_COMBB(_u20836, tc_HOL_Obool, _u20837), hAPP(c_Orderings_Oord__class_Oless(_u20836), _u20840)), _u20838), _u20839)) )).
% 12.32/12.58 cnf(matrix-8143, plain, ( ~c_List_Onat__list(_u20841) | ( c_List_Oembed__list(c_List_Oreturn__list(_u20841)) = _u20841) )).
% 12.32/12.58 cnf(matrix-8144, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20842)), c_List_Oremdups(_u20842, c_List_Oconcat(_u20842, _u20843))) = hAPP(c_Finite__Set_Ocard(_u20842), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20842), tc_fun(_u20842, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20842)), _u20843)), c_List_Oset(_u20842)))) )).
% 12.32/12.58 cnf(matrix-8145, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8146, plain, ( ~class_Lattices_Obounded__lattice(_u20844) | class_Lattices_Obounded__lattice(tc_fun(_u20845, _u20844)) )).
% 12.32/12.58 cnf(matrix-8147, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20846) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20847, _u20846)) )).
% 12.32/12.58 cnf(matrix-8148, plain, ( ~class_Lattices_Obounded__lattice(_u20848) | class_Lattices_Obounded__lattice__top(tc_fun(_u20849, _u20848)) )).
% 12.32/12.58 cnf(matrix-8149, plain, ( ~class_Lattices_Obounded__lattice(_u20850) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20851, _u20850)) )).
% 12.32/12.58 cnf(matrix-8150, plain, ( ~class_Lattices_Olattice(_u20852) | class_Lattices_Osemilattice__sup(tc_fun(_u20853, _u20852)) )).
% 12.32/12.58 cnf(matrix-8151, plain, ( ~class_Lattices_Olattice(_u20854) | class_Lattices_Osemilattice__inf(tc_fun(_u20855, _u20854)) )).
% 12.32/12.58 cnf(matrix-8152, plain, ( ~class_Lattices_Odistrib__lattice(_u20856) | class_Lattices_Odistrib__lattice(tc_fun(_u20857, _u20856)) )).
% 12.32/12.58 cnf(matrix-8153, plain, ( ~class_Lattices_Oboolean__algebra(_u20858) | class_Lattices_Oboolean__algebra(tc_fun(_u20859, _u20858)) )).
% 12.32/12.58 cnf(matrix-8154, plain, ( ~class_Orderings_Opreorder(_u20860) | class_Orderings_Opreorder(tc_fun(_u20861, _u20860)) )).
% 12.32/12.58 cnf(matrix-8155, plain, ( ~class_Finite__Set_Ofinite(_u20862) | ~class_Finite__Set_Ofinite(_u20863) | class_Finite__Set_Ofinite(tc_fun(_u20862, _u20863)) )).
% 12.32/12.58 cnf(matrix-8156, plain, ( ~class_Lattices_Olattice(_u20864) | class_Lattices_Olattice(tc_fun(_u20865, _u20864)) )).
% 12.32/12.58 cnf(matrix-8157, plain, ( ~class_Orderings_Oorder(_u20866) | class_Orderings_Oorder(tc_fun(_u20867, _u20866)) )).
% 12.32/12.58 cnf(matrix-8158, plain, ( ~class_Orderings_Otop(_u20868) | class_Orderings_Otop(tc_fun(_u20869, _u20868)) )).
% 12.32/12.58 cnf(matrix-8159, plain, ( ~class_Orderings_Oord(_u20870) | class_Orderings_Oord(tc_fun(_u20871, _u20870)) )).
% 12.32/12.58 cnf(matrix-8160, plain, ( ~class_Orderings_Obot(_u20872) | class_Orderings_Obot(tc_fun(_u20873, _u20872)) )).
% 12.32/12.58 cnf(matrix-8161, plain, ( ~class_Groups_Ouminus(_u20874) | class_Groups_Ouminus(tc_fun(_u20875, _u20874)) )).
% 12.32/12.58 cnf(matrix-8162, plain, ( ~class_Groups_Ominus(_u20876) | class_Groups_Ominus(tc_fun(_u20877, _u20876)) )).
% 12.32/12.58 cnf(matrix-8163, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8164, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8165, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8166, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8167, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8168, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8169, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8170, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8171, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8172, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8173, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8174, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8175, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8176, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8177, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8178, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8179, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8180, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8181, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8182, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8183, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8184, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8185, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8186, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8187, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8188, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8189, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8190, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8191, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8192, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8193, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8194, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8195, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8196, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8197, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8198, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8199, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8200, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8201, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8202, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8203, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8204, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8205, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8206, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8207, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8208, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8209, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8210, plain, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8211, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8212, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8213, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8214, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8215, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8216, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8217, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8218, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8219, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8220, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8221, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8222, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8223, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8224, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8225, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8226, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8227, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8228, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8229, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8230, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8231, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8232, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8233, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8234, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.32/12.58 cnf(matrix-8235, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8236, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8237, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8238, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8239, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8240, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8241, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8242, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8243, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8244, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8245, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8246, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8247, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8248, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8249, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8250, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8251, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8252, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8253, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8254, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8255, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8256, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8257, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8258, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8259, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8260, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8261, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8262, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8263, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8264, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8265, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8266, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8267, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8268, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8269, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8270, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8271, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8272, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8273, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8274, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8275, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8276, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8277, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8278, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8279, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8280, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8281, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8282, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.32/12.58 cnf(matrix-8283, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8284, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8285, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8286, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8287, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8288, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8289, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8290, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8291, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8292, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8293, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8294, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8295, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8296, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8297, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8298, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.32/12.58 cnf(matrix-8299, plain, ( ~class_Finite__Set_Ofinite(_u20878) | ~class_Finite__Set_Ofinite(_u20879) | class_Finite__Set_Ofinite(tc_sum(_u20878, _u20879)) )).
% 12.32/12.58 cnf(matrix-8300, plain, ( ~class_Finite__Set_Ofinite(_u20880) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20880)) )).
% 12.32/12.58 cnf(matrix-8301, plain, ( ~class_Finite__Set_Ofinite(_u20881) | ~class_Finite__Set_Ofinite(_u20882) | class_Finite__Set_Ofinite(tc_prod(_u20881, _u20882)) )).
% 12.32/12.58 cnf(matrix-8302, plain, ( ~class_Smallcheck_Osmall(_u20883) | ~class_Smallcheck_Osmall(_u20884) | class_Smallcheck_Osmall(tc_prod(_u20883, _u20884)) )).
% 12.32/12.58 cnf(matrix-8303, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.32/12.58 cnf(matrix-8304, plain, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 12.32/12.58 cnf(matrix-8305, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8306, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8307, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8308, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8309, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8310, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8311, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8312, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8313, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8314, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8315, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8316, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8317, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8318, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8319, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8320, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8321, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8322, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8323, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8324, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8325, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8326, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8327, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8328, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8329, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8330, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8331, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8332, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8333, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8334, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8335, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8336, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8337, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8338, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8339, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8340, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8341, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8342, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8343, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8344, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8345, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.32/12.58 cnf(matrix-8346, plain, ( ( hAPP(c_COMBI(_u20885), _u20886) = _u20886) )).
% 12.32/12.58 cnf(matrix-8347, plain, ( ( hAPP(hAPP(c_COMBK(_u20887, _u20888), _u20889), _u20890) = _u20889) )).
% 12.32/12.58 cnf(matrix-8348, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20891, _u20892, _u20893), _u20894), _u20895), _u20896) = hAPP(_u20894, hAPP(_u20895, _u20896))) )).
% 12.32/12.58 cnf(matrix-8349, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20897, _u20898, _u20899), _u20900), _u20901), _u20902) = hAPP(hAPP(_u20900, _u20902), _u20901)) )).
% 12.32/12.58 cnf(matrix-8350, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20903, _u20904, _u20905), _u20906), _u20907), _u20908) = hAPP(hAPP(_u20906, _u20908), hAPP(_u20907, _u20908))) )).
% 12.32/12.58 cnf(matrix-8351, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20909), _u20910)) | ( _u20909 = _u20910) )).
% 12.32/12.58 cnf(matrix-8352, plain, ( ( _u20911 != _u20912) | hBOOL(hAPP(hAPP(c_fequal, _u20911), _u20912)) )).
% 12.32/12.58 cnf(matrix-8353, plain, ( ~hBOOL(c_fFalse) )).
% 12.32/12.58 cnf(matrix-8354, plain, ( hBOOL(c_fTrue) )).
% 12.32/12.58 cnf(matrix-8355, plain, ( ~hBOOL(hAPP(c_fNot, _u20913)) | ~hBOOL(_u20913) )).
% 12.32/12.58 cnf(matrix-8356, plain, ( hBOOL(_u20914) | hBOOL(hAPP(c_fNot, _u20914)) )).
% 12.32/12.58 cnf(matrix-8357, plain, ( ~hBOOL(_u20916) | ~hBOOL(_u20915) | hBOOL(hAPP(hAPP(c_fconj, _u20915), _u20916)) )).
% 12.32/12.58 cnf(matrix-8358, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20917), _u20918)) | hBOOL(_u20917) )).
% 12.32/12.58 cnf(matrix-8359, plain, ( hBOOL(_u20920) | ~hBOOL(hAPP(hAPP(c_fconj, _u20919), _u20920)) )).
% 12.32/12.58 cnf(matrix-8360, plain, ( ~hBOOL(_u20921) | hBOOL(hAPP(hAPP(c_fdisj, _u20921), _u20922)) )).
% 12.32/12.58 cnf(matrix-8361, plain, ( ~hBOOL(_u20923) | hBOOL(hAPP(hAPP(c_fdisj, _u20924), _u20923)) )).
% 12.32/12.58 cnf(matrix-8362, plain, ( hBOOL(_u20926) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20925), _u20926)) | hBOOL(_u20925) )).
% 12.32/12.58 cnf(matrix-8363, plain, ( hBOOL(_u20927) | hBOOL(hAPP(hAPP(c_fimplies, _u20927), _u20928)) )).
% 12.32/12.58 cnf(matrix-8364, plain, ( ~hBOOL(_u20929) | hBOOL(hAPP(hAPP(c_fimplies, _u20930), _u20929)) )).
% 12.32/12.58 cnf(matrix-8365, plain, ( hBOOL(_u20932) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20931), _u20932)) | ~hBOOL(_u20931) )).
% 12.32/12.58 cnf(matrix-8366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)), _u20933), v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a, v_n, _u20933) )).
% 12.32/12.58 cnf(matrix-8367, plain, ( ~v_P(_u20936, _u20935) | ~c_Natural_Oevaln(v_c, _u20935, v_n, _u20934) | v_Q(_u20936, _u20934) )).
% 12.32/12.58 cnf(matrix-8368, plain, ( ~v_Q(_u20939, _u20938) | ~c_Natural_Oevaln(v_d, _u20938, v_n, _u20937) | v_R(_u20939, _u20937) )).
% 12.32/12.58 cnf(matrix-8369, plain, ( v_P(v_Z, v_s) )).
% 12.32/12.58 cnf(matrix-8370, plain, ( c_Natural_Oevaln(v_c, v_s, v_n, v_s1) )).
% 12.32/12.58 cnf(matrix-8371, plain, ( c_Natural_Oevaln(v_d, v_s1, v_n, v_s_H) )).
% 12.32/12.58 cnf(matrix-8372, plain, ( ~v_R(v_Z, v_s_H) )).
% 12.32/12.58
% 12.32/12.58 % Proof stack:
% 12.32/12.58 cnf(proof-stack, plain,
% 12.32/12.58 proof_stack(
% 12.32/12.58 start(8372),
% 12.32/12.58 left_branch(0, 8368, 2, 2),
% 12.32/12.58 left_branch(0, 8367, 2, 3),
% 12.32/12.58 left_branch(0, 8369, 0, 4),
% 12.32/12.58 right_branch(4),
% 12.32/12.58 left_branch(0, 8370, 0, 5),
% 12.32/12.58 right_branch(5),
% 12.32/12.58 right_branch(3),
% 12.32/12.58 left_branch(0, 8371, 0, 4),
% 12.32/12.58 right_branch(4),
% 12.32/12.58 right_branch(2)
% 12.32/12.58 )).
% 12.32/12.58 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------